From 3fb893275aea2013dec288d396ec52562f44649b Mon Sep 17 00:00:00 2001
From: Jazzpirate <raupi@jazzpirate.com>
Date: Mon, 20 Mar 2023 09:26:21 +0100
Subject: [PATCH] rebuilt

---
 .../Foundation/$Description$Operator.omdoc.xz | Bin 2620 -> 2712 bytes
 .../MitM/Foundation/$Informal$Proofs.omdoc.xz | Bin 1388 -> 1392 bytes
 .../MitM/Foundation/$Logic.omdoc.xz           | Bin 3240 -> 3304 bytes
 .../MitM/Foundation/$Matrices.omdoc.xz        | Bin 1044 -> 1064 bytes
 .../MitM/Foundation/$Nat$Literals.omdoc.xz    | Bin 1668 -> 1676 bytes
 .../Foundation/$Natural$Deduction.omdoc.xz    | Bin 7044 -> 7356 bytes
 .../MitM/Foundation/$Option$Type.omdoc.xz     | Bin 1940 -> 1976 bytes
 .../MitM/Foundation/$Sequences.omdoc.xz       | Bin 1416 -> 1408 bytes
 .../MitM/Foundation/Units/$Field.omdoc.xz     | Bin 4012 -> 4152 bytes
 .../MitM/Foundation/Units/$S$I$Units.omdoc.xz | Bin 1396 -> 1424 bytes
 .../Foundation/Units/$Units$Extended.omdoc.xz | Bin 1588 -> 1660 bytes
 .../MitM/Foundation/Units/$Units.omdoc.xz     | Bin 2832 -> 2900 bytes
 .../Foundation/sets/$Binary$Union.omdoc.xz    | Bin 988 -> 1004 bytes
 .../sets/$Cartesian$Product.omdoc.xz          | Bin 1232 -> 1268 bytes
 .../MitM/Foundation/sets/$Choice.omdoc.xz     | Bin 1652 -> 1668 bytes
 .../MitM/Foundation/sets/$Classes.omdoc.xz    | Bin 1608 -> 1636 bytes
 .../MitM/Foundation/sets/$Finite.omdoc.xz     | Bin 1316 -> 1320 bytes
 .../sets/$Functions$Extended.omdoc.xz         | Bin 2048 -> 2076 bytes
 .../MitM/Foundation/sets/$Functions.omdoc.xz  | Bin 2360 -> 2456 bytes
 .../MitM/Foundation/sets/$Infinity.omdoc.xz   | Bin 1540 -> 1572 bytes
 .../Foundation/sets/$Intersection.omdoc.xz    | Bin 996 -> 1024 bytes
 .../sets/$Kuratowski$Pairs.omdoc.xz           | Bin 892 -> 908 bytes
 .../MitM/Foundation/sets/$Lift$Omega.omdoc.xz | Bin 1768 -> 1784 bytes
 .../Foundation/sets/$Lift$Product.omdoc.xz    | Bin 1852 -> 1880 bytes
 .../Foundation/sets/$Lift$Separation.omdoc.xz | Bin 1684 -> 1708 bytes
 .../MitM/Foundation/sets/$Pairing.omdoc.xz    | Bin 2220 -> 2252 bytes
 .../MitM/Foundation/sets/$Powerset.omdoc.xz   | Bin 1260 -> 1276 bytes
 .../MitM/Foundation/sets/$Relations.omdoc.xz  | Bin 1300 -> 1324 bytes
 .../Foundation/sets/$Replacement.omdoc.xz     | Bin 1504 -> 1536 bytes
 .../MitM/Foundation/sets/$Separation.omdoc.xz | Bin 1472 -> 1524 bytes
 .../sets/$Set$Type$Conversions.omdoc.xz       | Bin 1888 -> 1920 bytes
 .../MitM/Foundation/sets/$Sets.omdoc.xz       | Bin 3796 -> 3884 bytes
 .../MitM/Foundation/sets/$Typed$Sets.omdoc.xz | Bin 1932 -> 1964 bytes
 .../MitM/Foundation/sets/$Union.omdoc.xz      | Bin 1336 -> 1348 bytes
 .../MitM/Foundation/sets/$Z$F.omdoc.xz        | Bin 1360 -> 1416 bytes
 .../MitM/Foundation/$Description$Operator.rel |   5 +++++
 .../MitM/Foundation/$Natural$Deduction.rel    |   2 ++
 .../MitM/Foundation/$Trigonometry.rel         |   1 -
 .../MitM/Foundation/$Vectors.rel              |   1 +
 .../MitM/Foundation/sets/$Choice.rel          |   1 -
 .../MitM/Foundation/sets/$Finite.rel          |   1 +
 .../Foundation/sets/$Functions$Extended.rel   |   3 +++
 .../MitM/Foundation/sets/$Functions.rel       |   2 +-
 .../MitM/Foundation/sets/$Infinity.rel        |   1 -
 .../MitM/Foundation/sets/$Powerset.rel        |   2 ++
 .../MitM/Foundation/sets/$Relations.rel       |   1 -
 .../MitM/Foundation/sets/$Separation.rel      |   2 ++
 .../MitM/Foundation/sets/$Sets.rel            |   7 -------
 .../MitM/Foundation/sets/$Union.rel           |   2 ++
 49 files changed, 19 insertions(+), 12 deletions(-)

diff --git a/content/http..mathhub.info/MitM/Foundation/$Description$Operator.omdoc.xz b/content/http..mathhub.info/MitM/Foundation/$Description$Operator.omdoc.xz
index aec127769356965cd64f85cea11fb622b50df623..acfccf012962e80393c830cfefe7ad48ab1e7883 100644
GIT binary patch
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diff --git a/content/http..mathhub.info/MitM/Foundation/$Informal$Proofs.omdoc.xz b/content/http..mathhub.info/MitM/Foundation/$Informal$Proofs.omdoc.xz
index 0007e5a1d2430cd9d1f62b75a183a095d45cde06..146e9046eb8d7376dba4774235a0e54b4a0adc28 100644
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diff --git a/content/http..mathhub.info/MitM/Foundation/$Logic.omdoc.xz b/content/http..mathhub.info/MitM/Foundation/$Logic.omdoc.xz
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delta 1339
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diff --git a/content/http..mathhub.info/MitM/Foundation/$Option$Type.omdoc.xz b/content/http..mathhub.info/MitM/Foundation/$Option$Type.omdoc.xz
index 413d29e4d215c367176376a242f7739c09a59905..8e017d35bbd8af976be531e1c87944b264850f3e 100644
GIT binary patch
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diff --git a/content/http..mathhub.info/MitM/Foundation/$Sequences.omdoc.xz b/content/http..mathhub.info/MitM/Foundation/$Sequences.omdoc.xz
index 7f1cee45d4b141ba7cafdcd0130a2fd64a86a96e..0312b47acff070f0d1031992233605e406e8e9f0 100644
GIT binary patch
delta 289
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diff --git a/content/http..mathhub.info/MitM/Foundation/Units/$Field.omdoc.xz b/content/http..mathhub.info/MitM/Foundation/Units/$Field.omdoc.xz
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diff --git a/content/http..mathhub.info/MitM/Foundation/Units/$S$I$Units.omdoc.xz b/content/http..mathhub.info/MitM/Foundation/Units/$S$I$Units.omdoc.xz
index a241a971076160533b3ea3a92a7e178aea021c89..5fec95b7253e47671bb17b02d7cd990657e16b13 100644
GIT binary patch
delta 836
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delta 808
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diff --git a/content/http..mathhub.info/MitM/Foundation/Units/$Units$Extended.omdoc.xz b/content/http..mathhub.info/MitM/Foundation/Units/$Units$Extended.omdoc.xz
index 6fe0e8dd25749127fe2100cb2b8561da25eb458f..632793141bd9f32147b5baf7ed438cfa0b0599b5 100644
GIT binary patch
delta 963
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delta 890
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diff --git a/content/http..mathhub.info/MitM/Foundation/Units/$Units.omdoc.xz b/content/http..mathhub.info/MitM/Foundation/Units/$Units.omdoc.xz
index 9b985a42b796d5035a67ba2209aa24437fcc7336..81f6b9fcd060d2a1b75d7a4d67c4292dc1bfc75a 100644
GIT binary patch
delta 1527
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delta 1459
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diff --git a/content/http..mathhub.info/MitM/Foundation/sets/$Binary$Union.omdoc.xz b/content/http..mathhub.info/MitM/Foundation/sets/$Binary$Union.omdoc.xz
index 423045209ac791713901dd6eb39ae078c6760690..0846265b469f1fb77eecff9d90ad197a794b1dfa 100644
GIT binary patch
delta 409
zcmV;K0cQT(2kZxs83Y)l1FW$fNdkZG)8n=Fl2l(_0T?=ICj`MM3}(q&rU<u?DS{~X
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delta 392
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diff --git a/content/http..mathhub.info/MitM/Foundation/sets/$Cartesian$Product.omdoc.xz b/content/http..mathhub.info/MitM/Foundation/sets/$Cartesian$Product.omdoc.xz
index 54d787357177cd81946e9ef56d7d73cb99ac99a6..3f9ea5286f26af6f82df999ad52fc3be50233191 100644
GIT binary patch
delta 654
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delta 618
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diff --git a/content/http..mathhub.info/MitM/Foundation/sets/$Choice.omdoc.xz b/content/http..mathhub.info/MitM/Foundation/sets/$Choice.omdoc.xz
index 55ce25ae533537494c9bc48c86ff60c41d936266..8e78bdf4f51106911322454861d46c1aca5b3cdd 100644
GIT binary patch
delta 674
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delta 658
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diff --git a/content/http..mathhub.info/MitM/Foundation/sets/$Classes.omdoc.xz b/content/http..mathhub.info/MitM/Foundation/sets/$Classes.omdoc.xz
index e31ee4a3a006f17f78ce2ddef2623fea64f7d3e1..8d9ead65da5287f36d8eff36e8ae8ed5ce496ebe 100644
GIT binary patch
delta 1163
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delta 1135
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diff --git a/content/http..mathhub.info/MitM/Foundation/sets/$Finite.omdoc.xz b/content/http..mathhub.info/MitM/Foundation/sets/$Finite.omdoc.xz
index e39c123d061ca91eb2f7fe2a24239f6ec66a112d..eade4d859983c0ddd1b918a2d577e8c81a8464c6 100644
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diff --git a/content/http..mathhub.info/MitM/Foundation/sets/$Functions$Extended.omdoc.xz b/content/http..mathhub.info/MitM/Foundation/sets/$Functions$Extended.omdoc.xz
index e0ff3c8e3aab81a0996cc3a76ab183aa828e5ad3..4274c49499a428cf8636ffe78e07c77faf55a94b 100644
GIT binary patch
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diff --git a/content/http..mathhub.info/MitM/Foundation/sets/$Functions.omdoc.xz b/content/http..mathhub.info/MitM/Foundation/sets/$Functions.omdoc.xz
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GIT binary patch
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diff --git a/content/http..mathhub.info/MitM/Foundation/sets/$Infinity.omdoc.xz b/content/http..mathhub.info/MitM/Foundation/sets/$Infinity.omdoc.xz
index 13059698c76d6c15472f91309a006bee022784cb..715f16c8dc0ffa2c5556a4c3192cd61049da488b 100644
GIT binary patch
delta 476
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delta 444
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diff --git a/content/http..mathhub.info/MitM/Foundation/sets/$Intersection.omdoc.xz b/content/http..mathhub.info/MitM/Foundation/sets/$Intersection.omdoc.xz
index 4fdb4ba997d73867dbb1bce68e12e1930e0ac823..8ca6cf095be8b5d87cd9cedca179f2b8f54cb40c 100644
GIT binary patch
delta 457
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delta 429
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diff --git a/content/http..mathhub.info/MitM/Foundation/sets/$Kuratowski$Pairs.omdoc.xz b/content/http..mathhub.info/MitM/Foundation/sets/$Kuratowski$Pairs.omdoc.xz
index c351db8bd8da9b9b9033cc13049bd2de973b4384..6bb20eaebb83d21f991f8991bf8228911fe75e21 100644
GIT binary patch
delta 342
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delta 326
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diff --git a/content/http..mathhub.info/MitM/Foundation/sets/$Lift$Omega.omdoc.xz b/content/http..mathhub.info/MitM/Foundation/sets/$Lift$Omega.omdoc.xz
index 999b1f90186e02a9064e5f0f69514bf46af04ef8..e115e2e7b04f0742252ddee78bb62b71a89d3400 100644
GIT binary patch
delta 1041
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delta 1024
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diff --git a/content/http..mathhub.info/MitM/Foundation/sets/$Lift$Product.omdoc.xz b/content/http..mathhub.info/MitM/Foundation/sets/$Lift$Product.omdoc.xz
index ccb27b74e2b14710fdf4b73d631acd9fdae0ad7b..9d06ee1375fa9f8a2cea041748714c57140efdf8 100644
GIT binary patch
delta 711
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delta 683
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diff --git a/content/http..mathhub.info/MitM/Foundation/sets/$Lift$Separation.omdoc.xz b/content/http..mathhub.info/MitM/Foundation/sets/$Lift$Separation.omdoc.xz
index ba443f75c646b063dae915208c2db1470f0aaa4f..3d9ecdac9804986f3e9b556cd623084022e360fd 100644
GIT binary patch
delta 705
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delta 681
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diff --git a/content/http..mathhub.info/MitM/Foundation/sets/$Pairing.omdoc.xz b/content/http..mathhub.info/MitM/Foundation/sets/$Pairing.omdoc.xz
index a2adec35b636d266726550b91e6f2511a4d19833..b1b4cc85119853602fc122015c230a616ad10577 100644
GIT binary patch
delta 1351
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delta 1319
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diff --git a/content/http..mathhub.info/MitM/Foundation/sets/$Powerset.omdoc.xz b/content/http..mathhub.info/MitM/Foundation/sets/$Powerset.omdoc.xz
index ba2661851a5d9b42d6f0e634c6c60c207df95d31..59a4fbd4f5a50be99c8db0bca10a5572134f84dd 100644
GIT binary patch
delta 279
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delta 262
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diff --git a/content/http..mathhub.info/MitM/Foundation/sets/$Relations.omdoc.xz b/content/http..mathhub.info/MitM/Foundation/sets/$Relations.omdoc.xz
index 51b2e6505375c09d2f4424eefdebc39b3758e060..b3979a4c19acfc9a591cc564ec5e3ec49389c297 100644
GIT binary patch
delta 684
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delta 660
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diff --git a/content/http..mathhub.info/MitM/Foundation/sets/$Replacement.omdoc.xz b/content/http..mathhub.info/MitM/Foundation/sets/$Replacement.omdoc.xz
index 7ce4609bc916e3c1277ea1933d49ebd19d2e6811..586da2075b83aa6c6fe9dc80027c41fd7f20a680 100644
GIT binary patch
delta 843
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delta 811
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diff --git a/content/http..mathhub.info/MitM/Foundation/sets/$Separation.omdoc.xz b/content/http..mathhub.info/MitM/Foundation/sets/$Separation.omdoc.xz
index 86b958d0476a5a97c972af366d32c4f966b3e529..6ee351521de057bc4c78ecd6db8f616e1b6ab6f8 100644
GIT binary patch
delta 774
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diff --git a/content/http..mathhub.info/MitM/Foundation/sets/$Set$Type$Conversions.omdoc.xz b/content/http..mathhub.info/MitM/Foundation/sets/$Set$Type$Conversions.omdoc.xz
index 29574216c829d32dc11d7ff8abb62bfa09734a8a..a1def58cb4c14bde84b1752860de4be3af3cbd3d 100644
GIT binary patch
delta 1111
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delta 1079
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diff --git a/content/http..mathhub.info/MitM/Foundation/sets/$Sets.omdoc.xz b/content/http..mathhub.info/MitM/Foundation/sets/$Sets.omdoc.xz
index 2d781a973dfa5d1eee3464ecc619229cfb6d25c5..6e52e42b62ee98bfdea569f98b1068c98476c010 100644
GIT binary patch
delta 3232
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diff --git a/content/http..mathhub.info/MitM/Foundation/sets/$Typed$Sets.omdoc.xz b/content/http..mathhub.info/MitM/Foundation/sets/$Typed$Sets.omdoc.xz
index 1c6093fca2294feb3951c2e44a4c609d185c0cca..21efe2249864d0e0644f19345682aeb216f33dce 100644
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diff --git a/content/http..mathhub.info/MitM/Foundation/sets/$Union.omdoc.xz b/content/http..mathhub.info/MitM/Foundation/sets/$Union.omdoc.xz
index 5e89f62eaa7a7fcf7a8d4ba35595d08b13edfaca..6ee01c786cc242feca40e9ebf69daccf42f3b97d 100644
GIT binary patch
delta 352
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diff --git a/content/http..mathhub.info/MitM/Foundation/sets/$Z$F.omdoc.xz b/content/http..mathhub.info/MitM/Foundation/sets/$Z$F.omdoc.xz
index a2caca1cf4989d73e7cceb2cf9085ea9fb0ff23d..f6600b14951df6e1ecd204849ede4b175d559abe 100644
GIT binary patch
delta 816
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zxm&z-YK|Mlhq%Q*TY%MjagmYfj^Q}gfwWuqvCR0h1|#;#rqxH?`h|eB#OZ%^c|-Cg
zg+R6?|Hs~JQC!rJXiWcfY?*6|5%B{2=0(cVA9?cU23B?h#!NhK_OfGXQ9YL;T=&PH
zI^I&lPu=Bs0$Wdj79(@;u1W!Cpt8(sP6sQn`L{<Ol_%?jzB(LtJn06X3CQR$7xJf7
zyBe?k)h({fqHiEuj%>DAdWC;if}TUQ4*Z~b2ASVvKTJXuq3!+R{^jW?Es{&ix#Us~
z8a8HLiVXxV%g}mi8t=rZxHfJ=!84a4I;fY3xFvoDZ824Gy;+ldBtj6|Cr5h`=t)X7
zEiV)~8Z-WMMX^)bnOX+~X*ISM_5_FZqSw9N95#y0+7VO+358AJn!SINUp|qInS42*
zV&Y}#V#vKf9-FFFO(Q8A`kwqL$si7%ek_;fnmj~U=l;e>jmgQ|g0M-D-WTVMUP&}X
zmbKB;thpk5nvOWPlh&FWzhQ~2_{~;8v{=gT&KHn$DXzaq^+knLbnG&}1b)GzY>#@M
zQ?%GS^b|&e>-TwU!3KZ()rb2bZbex>9KvTLJz@f{_H$^Iz~<!z_L1pr1M*W|KFVCt
zc~fJBrf89wUYgvPB3M(WLXS?TzL*#Q(8KIoS05M;j6+{;zlhzod&iIZ?Teb#DTL16
zFG1gYB`Ek-F}~bey(Nt^edLt}9T>XeHtG}l!$x#^Z^?<F61{&!1!gIGFqWg5MHko2
z-|Gj>Juc>FBi=CBL?E~(9NmC`<9+Xq5IsyKP;+)=R|F{q$c$Az?14+Uge7>~#i7Go
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u-Zjuh>O0gU!vG-2kdz%rK1#p<0ptqMgaH6-u0!3i#Ao{g000001X)^cL680b

delta 759
zcmV<T0to$x3(yLX83aA*1rM<uQ38KnA~5#0D_vcZ5|c>6)Q|43ZLHnwMnDO6^N^6t
zI~_M#A}n%?d0hm*f&e_&F+Ld_0f98_;Vpr;oCSCR!A8Z?ox(+qACUCzWOoUC0zwkM
z;oBrpvjrD1z@LQG?h4%t!aSK{_8&1FZxt9x&2??Pg(-PK?Q{1yem#&6rlx<X-KqXa
z&b;m*lF+Cq@2^`ajuC_0I=rwBA3K`3`5n7`ldQrGy^^ku`c+CPO?MfiyuyY}AU?tW
znV(+x=J|{p?;(5efi05}VvYf)lnS)dK^fByy#%9CMjj%CXP>p-x3Vea;=m+SG<Kyd
zDomMFW`s^SsT!O1Dhz(ixJ7@n12t)OVBed?JSQd&)m1R%fWor!;?6`J6)j1JaxNvk
zq*3h-Vk0u7cO=f=S6bIneN(dFMt&Ax{gZMCpFzkpp>LjG7WDgv0|a-5u_J1$v&2lh
ziO7tBBr{)cK4tk)T#3E&uY@|HG<YijIi3f7COd)Ds82xsLz7=;DXM?pXr~%=sZHEg
zJBuUu3+IfHPoot&yzz^a;wQ!t&Lo3Y_h(3SWbt&BnlQML$0VMNX(&QYh|kL`-2$4N
zAx5{YNo3GSkVX$YWfy*#ydW>>U>37V7l1F4lkHs$F51zA3&SxhMv2l(1@-p|t=h~7
zrld-+q0s?;LAV~#o2-9DU3P50QzQ`8T{2sT*Tlo3ET?jCs!REa*w*JeiUfT82m<xK
z*SK)f4?&ckdOG^g#`PkYSk;UV4O!nGSC0woP+naqj4;!bY^rw%ub`>-mXH8O9rG7?
zj`Su}zQ`M}BNpDA#B2-sg`DV~0a(}(7C<X3coN8E66}{J!jxwL9>D_^U6h=%MAmJY
z<G3DP#60A7#|Qpi&z~B~>Jl&q-5v!Lzy}_84XEY)YZJVx!oaQC`#+Te8_7q9fWJ61
p-aka*005JC6!GvDy@db)s|xFT007x+<fE~~XZr#G00004Sz4?uVgvvH

diff --git a/relational/http..mathhub.info/MitM/Foundation/$Description$Operator.rel b/relational/http..mathhub.info/MitM/Foundation/$Description$Operator.rel
index 1528632..138d6c2 100644
--- a/relational/http..mathhub.info/MitM/Foundation/$Description$Operator.rel
+++ b/relational/http..mathhub.info/MitM/Foundation/$Description$Operator.rel
@@ -20,6 +20,7 @@ Declares http://mathhub.info/MitM/Foundation?DescriptionOperator http://mathhub.
 constant http://mathhub.info/MitM/Foundation?DescriptionOperator?that_proof
 DependsOn http://mathhub.info/MitM/Foundation?DescriptionOperator?that_proof?type http://mathhub.info/MitM/Foundation?Logic?exists_unique?definition
 DependsOn http://mathhub.info/MitM/Foundation?DescriptionOperator?that_proof?type http://mathhub.info/MitM/Foundation?DescriptionOperator?that?type
+DependsOn http://mathhub.info/MitM/Foundation?DescriptionOperator?that_proof?type http://mathhub.info/MitM/Foundation?Logic?eq?type
 DependsOn http://mathhub.info/MitM/Foundation?DescriptionOperator?that_proof?type http://mathhub.info/MitM/Foundation?Logic?and?type
 DependsOn http://mathhub.info/MitM/Foundation?DescriptionOperator?that_proof?type http://cds.omdoc.org/urtheories?Bool?BOOL?type
 DependsOn http://mathhub.info/MitM/Foundation?DescriptionOperator?that_proof?type http://mathhub.info/MitM/Foundation?Logic?exists_unique?type
@@ -28,7 +29,9 @@ DependsOn http://mathhub.info/MitM/Foundation?DescriptionOperator?that_proof?typ
 DependsOn http://mathhub.info/MitM/Foundation?DescriptionOperator?that_proof?type http://mathhub.info/MitM/Foundation?Logic?exists?type
 DependsOn http://mathhub.info/MitM/Foundation?DescriptionOperator?that_proof?type http://mathhub.info/MitM/Foundation?Logic?ded?definition
 DependsOn http://mathhub.info/MitM/Foundation?DescriptionOperator?that_proof?type http://mathhub.info/MitM/Foundation?Logic?unique?type
+DependsOn http://mathhub.info/MitM/Foundation?DescriptionOperator?that_proof?type http://mathhub.info/MitM/Foundation?Logic?implies?type
 DependsOn http://mathhub.info/MitM/Foundation?DescriptionOperator?that_proof?type http://mathhub.info/MitM/Foundation?Logic?prop?type
+DependsOn http://mathhub.info/MitM/Foundation?DescriptionOperator?that_proof?type http://mathhub.info/MitM/Foundation?Logic?forall?type
 DependsOn http://mathhub.info/MitM/Foundation?DescriptionOperator?that_proof?type http://mathhub.info/MitM/Foundation?Logic?prop?definition
 Declares http://mathhub.info/MitM/Foundation?DescriptionOperator http://mathhub.info/MitM/Foundation?DescriptionOperator?if_then_else_exists_proof
 constant http://mathhub.info/MitM/Foundation?DescriptionOperator?if_then_else_exists_proof
@@ -60,8 +63,10 @@ DependsOn http://mathhub.info/MitM/Foundation?DescriptionOperator?if_then_else?d
 DependsOn http://mathhub.info/MitM/Foundation?DescriptionOperator?if_then_else?definition http://mathhub.info/MitM/Foundation?Logic?exists?type
 DependsOn http://mathhub.info/MitM/Foundation?DescriptionOperator?if_then_else?definition http://mathhub.info/MitM/Foundation?Logic?ded?definition
 DependsOn http://mathhub.info/MitM/Foundation?DescriptionOperator?if_then_else?definition http://mathhub.info/MitM/Foundation?Logic?unique?type
+DependsOn http://mathhub.info/MitM/Foundation?DescriptionOperator?if_then_else?definition http://mathhub.info/MitM/Foundation?Logic?implies?type
 DependsOn http://mathhub.info/MitM/Foundation?DescriptionOperator?if_then_else?definition http://mathhub.info/MitM/Foundation?Logic?prop?type
 DependsOn http://mathhub.info/MitM/Foundation?DescriptionOperator?if_then_else?definition http://mathhub.info/MitM/Foundation?Logic?or?type
+DependsOn http://mathhub.info/MitM/Foundation?DescriptionOperator?if_then_else?definition http://mathhub.info/MitM/Foundation?Logic?forall?type
 DependsOn http://mathhub.info/MitM/Foundation?DescriptionOperator?if_then_else?definition http://mathhub.info/MitM/Foundation?Logic?prop?definition
 Declares http://mathhub.info/MitM/Foundation?DescriptionOperator http://mathhub.info/MitM/Foundation?DescriptionOperator?if_then_else_case
 constant http://mathhub.info/MitM/Foundation?DescriptionOperator?if_then_else_case
diff --git a/relational/http..mathhub.info/MitM/Foundation/$Natural$Deduction.rel b/relational/http..mathhub.info/MitM/Foundation/$Natural$Deduction.rel
index 7b8faf1..5d5474b 100644
--- a/relational/http..mathhub.info/MitM/Foundation/$Natural$Deduction.rel
+++ b/relational/http..mathhub.info/MitM/Foundation/$Natural$Deduction.rel
@@ -34,12 +34,14 @@ DependsOn http://mathhub.info/MitM/Foundation?NaturalDeduction?tru_introduction?
 DependsOn http://mathhub.info/MitM/Foundation?NaturalDeduction?tru_introduction?type http://cds.omdoc.org/urtheories?Bool?BOOL?type
 DependsOn http://mathhub.info/MitM/Foundation?NaturalDeduction?tru_introduction?type http://mathhub.info/MitM/Foundation?Logic?prop?type
 DependsOn http://mathhub.info/MitM/Foundation?NaturalDeduction?tru_introduction?type http://mathhub.info/MitM/Foundation?Logic?ded?type
+DependsOn http://mathhub.info/MitM/Foundation?NaturalDeduction?tru_introduction?type http://mathhub.info/MitM/Foundation?Logic?prop?definition
 Declares http://mathhub.info/MitM/Foundation?NaturalDeduction http://mathhub.info/MitM/Foundation?NaturalDeduction?fals_elimination
 constant http://mathhub.info/MitM/Foundation?NaturalDeduction?fals_elimination
 DependsOn http://mathhub.info/MitM/Foundation?NaturalDeduction?fals_elimination?type http://mathhub.info/MitM/Foundation?Logic?ded?definition
 DependsOn http://mathhub.info/MitM/Foundation?NaturalDeduction?fals_elimination?type http://cds.omdoc.org/urtheories?Bool?BOOL?type
 DependsOn http://mathhub.info/MitM/Foundation?NaturalDeduction?fals_elimination?type http://mathhub.info/MitM/Foundation?Logic?prop?type
 DependsOn http://mathhub.info/MitM/Foundation?NaturalDeduction?fals_elimination?type http://mathhub.info/MitM/Foundation?Logic?ded?type
+DependsOn http://mathhub.info/MitM/Foundation?NaturalDeduction?fals_elimination?type http://mathhub.info/MitM/Foundation?Logic?prop?definition
 Declares http://mathhub.info/MitM/Foundation?NaturalDeduction http://mathhub.info/MitM/Foundation?NaturalDeduction?fals_introduction
 constant http://mathhub.info/MitM/Foundation?NaturalDeduction?fals_introduction
 DependsOn http://mathhub.info/MitM/Foundation?NaturalDeduction?fals_introduction?type http://mathhub.info/MitM/Foundation?Logic?not?type
diff --git a/relational/http..mathhub.info/MitM/Foundation/$Trigonometry.rel b/relational/http..mathhub.info/MitM/Foundation/$Trigonometry.rel
index 4595499..4fbf1c2 100644
--- a/relational/http..mathhub.info/MitM/Foundation/$Trigonometry.rel
+++ b/relational/http..mathhub.info/MitM/Foundation/$Trigonometry.rel
@@ -40,4 +40,3 @@ Declares http://mathhub.info/MitM/Foundation?Trigonometry http://mathhub.info/Mi
 constant http://mathhub.info/MitM/Foundation?Trigonometry?[scala://rules.mitm.mmt.kwarc.info?Acos]
 Declares http://mathhub.info/MitM/Foundation?Trigonometry http://mathhub.info/MitM/Foundation?Trigonometry?pi_num
 constant http://mathhub.info/MitM/Foundation?Trigonometry?pi_num
-DependsOn http://mathhub.info/MitM/Foundation?Trigonometry?pi_num?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type
diff --git a/relational/http..mathhub.info/MitM/Foundation/$Vectors.rel b/relational/http..mathhub.info/MitM/Foundation/$Vectors.rel
index f1510cc..09cbe64 100644
--- a/relational/http..mathhub.info/MitM/Foundation/$Vectors.rel
+++ b/relational/http..mathhub.info/MitM/Foundation/$Vectors.rel
@@ -14,6 +14,7 @@ constant http://mathhub.info/MitM/Foundation?Vectors?zerovec
 DependsOn http://mathhub.info/MitM/Foundation?Vectors?zerovec?type http://cds.omdoc.org/urtheories?NatSymbols?NAT?type
 DependsOn http://mathhub.info/MitM/Foundation?Vectors?zerovec?type http://mathhub.info/MitM/Foundation?NatLiterals?nat_lit?type
 DependsOn http://mathhub.info/MitM/Foundation?Vectors?zerovec?type http://mathhub.info/MitM/Foundation?Vectors?vector?type
+DependsOn http://mathhub.info/MitM/Foundation?Vectors?zerovec?type http://mathhub.info/MitM/Foundation?NatLiterals?nat_lit?definition
 Declares http://mathhub.info/MitM/Foundation?Vectors http://mathhub.info/MitM/Foundation?Vectors?vector_prepend
 constant http://mathhub.info/MitM/Foundation?Vectors?vector_prepend
 DependsOn http://mathhub.info/MitM/Foundation?Vectors?vector_prepend?type http://cds.omdoc.org/urtheories?NatSymbols?NAT?type
diff --git a/relational/http..mathhub.info/MitM/Foundation/sets/$Choice.rel b/relational/http..mathhub.info/MitM/Foundation/sets/$Choice.rel
index 98a8bf2..a848945 100644
--- a/relational/http..mathhub.info/MitM/Foundation/sets/$Choice.rel
+++ b/relational/http..mathhub.info/MitM/Foundation/sets/$Choice.rel
@@ -37,7 +37,6 @@ DependsOn http://mathhub.info/MitM/Foundation/sets?Choice?prop_choiceFunction?de
 DependsOn http://mathhub.info/MitM/Foundation/sets?Choice?prop_choiceFunction?definition http://cds.omdoc.org/urtheories?Ded?DED?type
 DependsOn http://mathhub.info/MitM/Foundation/sets?Choice?prop_choiceFunction?definition http://mathhub.info/MitM/Foundation/sets?Powerset?axiom_powerset?type
 DependsOn http://mathhub.info/MitM/Foundation/sets?Choice?prop_choiceFunction?definition http://mathhub.info/MitM/Foundation/sets?Sets?subset?type
-DependsOn http://mathhub.info/MitM/Foundation/sets?Choice?prop_choiceFunction?definition http://mathhub.info/MitM/Foundation/sets?Functions?function?definition
 DependsOn http://mathhub.info/MitM/Foundation/sets?Choice?prop_choiceFunction?definition http://mathhub.info/MitM/Foundation?Logic?exists?type
 DependsOn http://mathhub.info/MitM/Foundation/sets?Choice?prop_choiceFunction?definition http://mathhub.info/MitM/Foundation/sets?KuratowskiPairs?pair?type
 DependsOn http://mathhub.info/MitM/Foundation/sets?Choice?prop_choiceFunction?definition http://mathhub.info/MitM/Foundation?Logic?ded?definition
diff --git a/relational/http..mathhub.info/MitM/Foundation/sets/$Finite.rel b/relational/http..mathhub.info/MitM/Foundation/sets/$Finite.rel
index b755d3b..8e6603b 100644
--- a/relational/http..mathhub.info/MitM/Foundation/sets/$Finite.rel
+++ b/relational/http..mathhub.info/MitM/Foundation/sets/$Finite.rel
@@ -17,6 +17,7 @@ DependsOn http://mathhub.info/MitM/Foundation/sets?Finite?prop_finite?definition
 DependsOn http://mathhub.info/MitM/Foundation/sets?Finite?prop_finite?definition http://mathhub.info/MitM/Foundation/sets?Sets?prop_separation?type
 DependsOn http://mathhub.info/MitM/Foundation/sets?Finite?prop_finite?definition http://mathhub.info/MitM/Foundation/sets?Pairing?lemma_pairing_unique?type
 DependsOn http://mathhub.info/MitM/Foundation/sets?Finite?prop_finite?definition http://mathhub.info/MitM/Foundation/sets?Pairing?uopair?type
+DependsOn http://mathhub.info/MitM/Foundation/sets?Finite?prop_finite?definition http://mathhub.info/MitM/Foundation?InformalProofs?proofsketch?type
 DependsOn http://mathhub.info/MitM/Foundation/sets?Finite?prop_finite?definition http://mathhub.info/MitM/Foundation?Logic?ded?type
 DependsOn http://mathhub.info/MitM/Foundation/sets?Finite?prop_finite?definition http://mathhub.info/MitM/Foundation/sets?FunctionsExtended?prop_injective?type
 DependsOn http://mathhub.info/MitM/Foundation/sets?Finite?prop_finite?definition http://mathhub.info/MitM/Foundation/sets?BinaryUnion?binaryunion?type
diff --git a/relational/http..mathhub.info/MitM/Foundation/sets/$Functions$Extended.rel b/relational/http..mathhub.info/MitM/Foundation/sets/$Functions$Extended.rel
index a52b9e1..65bfea2 100644
--- a/relational/http..mathhub.info/MitM/Foundation/sets/$Functions$Extended.rel
+++ b/relational/http..mathhub.info/MitM/Foundation/sets/$Functions$Extended.rel
@@ -20,6 +20,7 @@ DependsOn http://mathhub.info/MitM/Foundation/sets?FunctionsExtended?prop_inject
 DependsOn http://mathhub.info/MitM/Foundation/sets?FunctionsExtended?prop_injective?definition http://mathhub.info/MitM/Foundation/sets?Sets?prop_separation?type
 DependsOn http://mathhub.info/MitM/Foundation/sets?FunctionsExtended?prop_injective?definition http://mathhub.info/MitM/Foundation/sets?Pairing?lemma_pairing_unique?type
 DependsOn http://mathhub.info/MitM/Foundation/sets?FunctionsExtended?prop_injective?definition http://mathhub.info/MitM/Foundation/sets?Pairing?uopair?type
+DependsOn http://mathhub.info/MitM/Foundation/sets?FunctionsExtended?prop_injective?definition http://mathhub.info/MitM/Foundation?InformalProofs?proofsketch?type
 DependsOn http://mathhub.info/MitM/Foundation/sets?FunctionsExtended?prop_injective?definition http://mathhub.info/MitM/Foundation?Logic?ded?type
 DependsOn http://mathhub.info/MitM/Foundation/sets?FunctionsExtended?prop_injective?definition http://mathhub.info/MitM/Foundation/sets?BinaryUnion?binaryunion?type
 DependsOn http://mathhub.info/MitM/Foundation/sets?FunctionsExtended?prop_injective?definition http://mathhub.info/MitM/Foundation/sets?Functions?function?type
@@ -65,6 +66,7 @@ DependsOn http://mathhub.info/MitM/Foundation/sets?FunctionsExtended?prop_surjec
 DependsOn http://mathhub.info/MitM/Foundation/sets?FunctionsExtended?prop_surjective?definition http://mathhub.info/MitM/Foundation/sets?Sets?prop_separation?type
 DependsOn http://mathhub.info/MitM/Foundation/sets?FunctionsExtended?prop_surjective?definition http://mathhub.info/MitM/Foundation/sets?Pairing?lemma_pairing_unique?type
 DependsOn http://mathhub.info/MitM/Foundation/sets?FunctionsExtended?prop_surjective?definition http://mathhub.info/MitM/Foundation/sets?Pairing?uopair?type
+DependsOn http://mathhub.info/MitM/Foundation/sets?FunctionsExtended?prop_surjective?definition http://mathhub.info/MitM/Foundation?InformalProofs?proofsketch?type
 DependsOn http://mathhub.info/MitM/Foundation/sets?FunctionsExtended?prop_surjective?definition http://mathhub.info/MitM/Foundation?Logic?ded?type
 DependsOn http://mathhub.info/MitM/Foundation/sets?FunctionsExtended?prop_surjective?definition http://mathhub.info/MitM/Foundation/sets?BinaryUnion?binaryunion?type
 DependsOn http://mathhub.info/MitM/Foundation/sets?FunctionsExtended?prop_surjective?definition http://mathhub.info/MitM/Foundation/sets?Functions?function?type
@@ -109,6 +111,7 @@ DependsOn http://mathhub.info/MitM/Foundation/sets?FunctionsExtended?prop_biject
 DependsOn http://mathhub.info/MitM/Foundation/sets?FunctionsExtended?prop_bijective?definition http://mathhub.info/MitM/Foundation/sets?Sets?prop_separation?type
 DependsOn http://mathhub.info/MitM/Foundation/sets?FunctionsExtended?prop_bijective?definition http://mathhub.info/MitM/Foundation/sets?Pairing?lemma_pairing_unique?type
 DependsOn http://mathhub.info/MitM/Foundation/sets?FunctionsExtended?prop_bijective?definition http://mathhub.info/MitM/Foundation/sets?Pairing?uopair?type
+DependsOn http://mathhub.info/MitM/Foundation/sets?FunctionsExtended?prop_bijective?definition http://mathhub.info/MitM/Foundation?InformalProofs?proofsketch?type
 DependsOn http://mathhub.info/MitM/Foundation/sets?FunctionsExtended?prop_bijective?definition http://mathhub.info/MitM/Foundation?Logic?ded?type
 DependsOn http://mathhub.info/MitM/Foundation/sets?FunctionsExtended?prop_bijective?definition http://mathhub.info/MitM/Foundation/sets?FunctionsExtended?prop_injective?type
 DependsOn http://mathhub.info/MitM/Foundation/sets?FunctionsExtended?prop_bijective?definition http://mathhub.info/MitM/Foundation/sets?BinaryUnion?binaryunion?type
diff --git a/relational/http..mathhub.info/MitM/Foundation/sets/$Functions.rel b/relational/http..mathhub.info/MitM/Foundation/sets/$Functions.rel
index 0d4cf23..460c427 100644
--- a/relational/http..mathhub.info/MitM/Foundation/sets/$Functions.rel
+++ b/relational/http..mathhub.info/MitM/Foundation/sets/$Functions.rel
@@ -14,7 +14,6 @@ DependsOn http://mathhub.info/MitM/Foundation/sets?Functions?prop_function?defin
 DependsOn http://mathhub.info/MitM/Foundation/sets?Functions?prop_function?definition http://mathhub.info/MitM/Foundation?Logic?implies?type
 DependsOn http://mathhub.info/MitM/Foundation/sets?Functions?prop_function?definition http://mathhub.info/MitM/Foundation/sets?Sets?element?type
 DependsOn http://mathhub.info/MitM/Foundation/sets?Functions?prop_function?definition http://mathhub.info/MitM/Foundation/sets?Sets?set?type
-DependsOn http://mathhub.info/MitM/Foundation/sets?Functions?prop_function?definition http://mathhub.info/MitM/Foundation?Logic?prop?type
 DependsOn http://mathhub.info/MitM/Foundation/sets?Functions?prop_function?definition http://mathhub.info/MitM/Foundation?Logic?forall?type
 DependsOn http://mathhub.info/MitM/Foundation/sets?Functions?prop_function?definition http://mathhub.info/MitM/Foundation?Logic?prop?definition
 Declares http://mathhub.info/MitM/Foundation/sets?Functions http://mathhub.info/MitM/Foundation/sets?Functions?function
@@ -56,6 +55,7 @@ DependsOn http://mathhub.info/MitM/Foundation/sets?Functions?theorem_setfun?type
 DependsOn http://mathhub.info/MitM/Foundation/sets?Functions?theorem_setfun?type http://mathhub.info/MitM/Foundation/sets?Sets?prop_separation?type
 DependsOn http://mathhub.info/MitM/Foundation/sets?Functions?theorem_setfun?type http://mathhub.info/MitM/Foundation/sets?Pairing?lemma_pairing_unique?type
 DependsOn http://mathhub.info/MitM/Foundation/sets?Functions?theorem_setfun?type http://mathhub.info/MitM/Foundation/sets?Pairing?uopair?type
+DependsOn http://mathhub.info/MitM/Foundation/sets?Functions?theorem_setfun?type http://mathhub.info/MitM/Foundation?InformalProofs?proofsketch?type
 DependsOn http://mathhub.info/MitM/Foundation/sets?Functions?theorem_setfun?type http://mathhub.info/MitM/Foundation?Logic?ded?type
 DependsOn http://mathhub.info/MitM/Foundation/sets?Functions?theorem_setfun?type http://mathhub.info/MitM/Foundation/sets?BinaryUnion?binaryunion?type
 DependsOn http://mathhub.info/MitM/Foundation/sets?Functions?theorem_setfun?type http://mathhub.info/MitM/Foundation/sets?Functions?function?type
diff --git a/relational/http..mathhub.info/MitM/Foundation/sets/$Infinity.rel b/relational/http..mathhub.info/MitM/Foundation/sets/$Infinity.rel
index 4b101f1..5d2be62 100644
--- a/relational/http..mathhub.info/MitM/Foundation/sets/$Infinity.rel
+++ b/relational/http..mathhub.info/MitM/Foundation/sets/$Infinity.rel
@@ -17,7 +17,6 @@ DependsOn http://mathhub.info/MitM/Foundation/sets?Infinity?prop_infinity?defini
 DependsOn http://mathhub.info/MitM/Foundation/sets?Infinity?prop_infinity?definition http://mathhub.info/MitM/Foundation?Logic?implies?type
 DependsOn http://mathhub.info/MitM/Foundation/sets?Infinity?prop_infinity?definition http://mathhub.info/MitM/Foundation/sets?Sets?element?type
 DependsOn http://mathhub.info/MitM/Foundation/sets?Infinity?prop_infinity?definition http://mathhub.info/MitM/Foundation/sets?Sets?set?type
-DependsOn http://mathhub.info/MitM/Foundation/sets?Infinity?prop_infinity?definition http://mathhub.info/MitM/Foundation?Logic?prop?type
 DependsOn http://mathhub.info/MitM/Foundation/sets?Infinity?prop_infinity?definition http://mathhub.info/MitM/Foundation?Logic?forall?type
 DependsOn http://mathhub.info/MitM/Foundation/sets?Infinity?prop_infinity?definition http://mathhub.info/MitM/Foundation?Logic?prop?definition
 Declares http://mathhub.info/MitM/Foundation/sets?Infinity http://mathhub.info/MitM/Foundation/sets?Infinity?omega
diff --git a/relational/http..mathhub.info/MitM/Foundation/sets/$Powerset.rel b/relational/http..mathhub.info/MitM/Foundation/sets/$Powerset.rel
index ef838e7..f22ad6e 100644
--- a/relational/http..mathhub.info/MitM/Foundation/sets/$Powerset.rel
+++ b/relational/http..mathhub.info/MitM/Foundation/sets/$Powerset.rel
@@ -18,6 +18,7 @@ DependsOn http://mathhub.info/MitM/Foundation/sets?Powerset?powerset?type http:/
 DependsOn http://mathhub.info/MitM/Foundation/sets?Powerset?powerset?definition http://mathhub.info/MitM/Foundation/sets?Sets?prop_powerset?type
 DependsOn http://mathhub.info/MitM/Foundation/sets?Powerset?powerset?definition http://mathhub.info/MitM/Foundation?Logic?exists_unique?definition
 DependsOn http://mathhub.info/MitM/Foundation/sets?Powerset?powerset?definition http://mathhub.info/MitM/Foundation?DescriptionOperator?that?type
+DependsOn http://mathhub.info/MitM/Foundation/sets?Powerset?powerset?definition http://mathhub.info/MitM/Foundation?Logic?eq?type
 DependsOn http://mathhub.info/MitM/Foundation/sets?Powerset?powerset?definition http://mathhub.info/MitM/Foundation?Logic?and?type
 DependsOn http://mathhub.info/MitM/Foundation/sets?Powerset?powerset?definition http://cds.omdoc.org/urtheories?Bool?BOOL?type
 DependsOn http://mathhub.info/MitM/Foundation/sets?Powerset?powerset?definition http://mathhub.info/MitM/Foundation?Logic?ded?type
@@ -27,6 +28,7 @@ DependsOn http://mathhub.info/MitM/Foundation/sets?Powerset?powerset?definition
 DependsOn http://mathhub.info/MitM/Foundation/sets?Powerset?powerset?definition http://mathhub.info/MitM/Foundation?Logic?exists?type
 DependsOn http://mathhub.info/MitM/Foundation/sets?Powerset?powerset?definition http://mathhub.info/MitM/Foundation?Logic?ded?definition
 DependsOn http://mathhub.info/MitM/Foundation/sets?Powerset?powerset?definition http://mathhub.info/MitM/Foundation?Logic?unique?type
+DependsOn http://mathhub.info/MitM/Foundation/sets?Powerset?powerset?definition http://mathhub.info/MitM/Foundation?Logic?implies?type
 DependsOn http://mathhub.info/MitM/Foundation/sets?Powerset?powerset?definition http://mathhub.info/MitM/Foundation/sets?Sets?element?type
 DependsOn http://mathhub.info/MitM/Foundation/sets?Powerset?powerset?definition http://mathhub.info/MitM/Foundation/sets?Sets?set?type
 DependsOn http://mathhub.info/MitM/Foundation/sets?Powerset?powerset?definition http://mathhub.info/MitM/Foundation?Logic?prop?type
diff --git a/relational/http..mathhub.info/MitM/Foundation/sets/$Relations.rel b/relational/http..mathhub.info/MitM/Foundation/sets/$Relations.rel
index ce36a07..f0911c0 100644
--- a/relational/http..mathhub.info/MitM/Foundation/sets/$Relations.rel
+++ b/relational/http..mathhub.info/MitM/Foundation/sets/$Relations.rel
@@ -9,7 +9,6 @@ constant http://mathhub.info/MitM/Foundation/sets?Relations?prop_relation
 DependsOn http://mathhub.info/MitM/Foundation/sets?Relations?prop_relation?definition http://mathhub.info/MitM/Foundation/sets?Sets?subset?type
 DependsOn http://mathhub.info/MitM/Foundation/sets?Relations?prop_relation?definition http://mathhub.info/MitM/Foundation/sets?CartesianProduct?product?type
 DependsOn http://mathhub.info/MitM/Foundation/sets?Relations?prop_relation?definition http://mathhub.info/MitM/Foundation/sets?Sets?set?type
-DependsOn http://mathhub.info/MitM/Foundation/sets?Relations?prop_relation?definition http://mathhub.info/MitM/Foundation?Logic?prop?type
 DependsOn http://mathhub.info/MitM/Foundation/sets?Relations?prop_relation?definition http://mathhub.info/MitM/Foundation?Logic?prop?definition
 Declares http://mathhub.info/MitM/Foundation/sets?Relations http://mathhub.info/MitM/Foundation/sets?Relations?relation
 constant http://mathhub.info/MitM/Foundation/sets?Relations?relation
diff --git a/relational/http..mathhub.info/MitM/Foundation/sets/$Separation.rel b/relational/http..mathhub.info/MitM/Foundation/sets/$Separation.rel
index 0e3ee30..98ce677 100644
--- a/relational/http..mathhub.info/MitM/Foundation/sets/$Separation.rel
+++ b/relational/http..mathhub.info/MitM/Foundation/sets/$Separation.rel
@@ -20,6 +20,7 @@ DependsOn http://mathhub.info/MitM/Foundation/sets?Separation?sep_constructor?ty
 DependsOn http://mathhub.info/MitM/Foundation/sets?Separation?sep_constructor?type http://mathhub.info/MitM/Foundation?Logic?prop?definition
 DependsOn http://mathhub.info/MitM/Foundation/sets?Separation?sep_constructor?definition http://mathhub.info/MitM/Foundation?Logic?exists_unique?definition
 DependsOn http://mathhub.info/MitM/Foundation/sets?Separation?sep_constructor?definition http://mathhub.info/MitM/Foundation?DescriptionOperator?that?type
+DependsOn http://mathhub.info/MitM/Foundation/sets?Separation?sep_constructor?definition http://mathhub.info/MitM/Foundation?Logic?eq?type
 DependsOn http://mathhub.info/MitM/Foundation/sets?Separation?sep_constructor?definition http://mathhub.info/MitM/Foundation?Logic?and?type
 DependsOn http://mathhub.info/MitM/Foundation/sets?Separation?sep_constructor?definition http://mathhub.info/MitM/Foundation/sets?Sets?prop_separation?type
 DependsOn http://mathhub.info/MitM/Foundation/sets?Separation?sep_constructor?definition http://cds.omdoc.org/urtheories?Bool?BOOL?type
@@ -29,6 +30,7 @@ DependsOn http://mathhub.info/MitM/Foundation/sets?Separation?sep_constructor?de
 DependsOn http://mathhub.info/MitM/Foundation/sets?Separation?sep_constructor?definition http://mathhub.info/MitM/Foundation?Logic?exists?type
 DependsOn http://mathhub.info/MitM/Foundation/sets?Separation?sep_constructor?definition http://mathhub.info/MitM/Foundation?Logic?ded?definition
 DependsOn http://mathhub.info/MitM/Foundation/sets?Separation?sep_constructor?definition http://mathhub.info/MitM/Foundation?Logic?unique?type
+DependsOn http://mathhub.info/MitM/Foundation/sets?Separation?sep_constructor?definition http://mathhub.info/MitM/Foundation?Logic?implies?type
 DependsOn http://mathhub.info/MitM/Foundation/sets?Separation?sep_constructor?definition http://mathhub.info/MitM/Foundation/sets?Sets?element?type
 DependsOn http://mathhub.info/MitM/Foundation/sets?Separation?sep_constructor?definition http://mathhub.info/MitM/Foundation/sets?Sets?set?type
 DependsOn http://mathhub.info/MitM/Foundation/sets?Separation?sep_constructor?definition http://mathhub.info/MitM/Foundation?Logic?prop?type
diff --git a/relational/http..mathhub.info/MitM/Foundation/sets/$Sets.rel b/relational/http..mathhub.info/MitM/Foundation/sets/$Sets.rel
index 4ebc658..8a82182 100644
--- a/relational/http..mathhub.info/MitM/Foundation/sets/$Sets.rel
+++ b/relational/http..mathhub.info/MitM/Foundation/sets/$Sets.rel
@@ -82,7 +82,6 @@ DependsOn http://mathhub.info/MitM/Foundation/sets?Sets?prop_extensionality?defi
 DependsOn http://mathhub.info/MitM/Foundation/sets?Sets?prop_extensionality?definition http://mathhub.info/MitM/Foundation?Logic?implies?type
 DependsOn http://mathhub.info/MitM/Foundation/sets?Sets?prop_extensionality?definition http://mathhub.info/MitM/Foundation/sets?Sets?element?type
 DependsOn http://mathhub.info/MitM/Foundation/sets?Sets?prop_extensionality?definition http://mathhub.info/MitM/Foundation/sets?Sets?set?type
-DependsOn http://mathhub.info/MitM/Foundation/sets?Sets?prop_extensionality?definition http://mathhub.info/MitM/Foundation?Logic?prop?type
 DependsOn http://mathhub.info/MitM/Foundation/sets?Sets?prop_extensionality?definition http://mathhub.info/MitM/Foundation?Logic?iff?type
 DependsOn http://mathhub.info/MitM/Foundation/sets?Sets?prop_extensionality?definition http://mathhub.info/MitM/Foundation?Logic?forall?type
 DependsOn http://mathhub.info/MitM/Foundation/sets?Sets?prop_extensionality?definition http://mathhub.info/MitM/Foundation?Logic?prop?definition
@@ -108,7 +107,6 @@ DependsOn http://mathhub.info/MitM/Foundation/sets?Sets?prop_regularity?definiti
 DependsOn http://mathhub.info/MitM/Foundation/sets?Sets?prop_regularity?definition http://mathhub.info/MitM/Foundation?Logic?neq?type
 DependsOn http://mathhub.info/MitM/Foundation/sets?Sets?prop_regularity?definition http://mathhub.info/MitM/Foundation/sets?Sets?element?type
 DependsOn http://mathhub.info/MitM/Foundation/sets?Sets?prop_regularity?definition http://mathhub.info/MitM/Foundation/sets?Sets?set?type
-DependsOn http://mathhub.info/MitM/Foundation/sets?Sets?prop_regularity?definition http://mathhub.info/MitM/Foundation?Logic?prop?type
 DependsOn http://mathhub.info/MitM/Foundation/sets?Sets?prop_regularity?definition http://mathhub.info/MitM/Foundation?Logic?prop?definition
 Declares http://mathhub.info/MitM/Foundation/sets?Sets http://mathhub.info/MitM/Foundation/sets?Sets?prop_pairing
 constant http://mathhub.info/MitM/Foundation/sets?Sets?prop_pairing
@@ -116,7 +114,6 @@ DependsOn http://mathhub.info/MitM/Foundation/sets?Sets?prop_pairing?definition
 DependsOn http://mathhub.info/MitM/Foundation/sets?Sets?prop_pairing?definition http://mathhub.info/MitM/Foundation?Logic?and?type
 DependsOn http://mathhub.info/MitM/Foundation/sets?Sets?prop_pairing?definition http://mathhub.info/MitM/Foundation/sets?Sets?element?type
 DependsOn http://mathhub.info/MitM/Foundation/sets?Sets?prop_pairing?definition http://mathhub.info/MitM/Foundation/sets?Sets?set?type
-DependsOn http://mathhub.info/MitM/Foundation/sets?Sets?prop_pairing?definition http://mathhub.info/MitM/Foundation?Logic?prop?type
 DependsOn http://mathhub.info/MitM/Foundation/sets?Sets?prop_pairing?definition http://mathhub.info/MitM/Foundation?Logic?prop?definition
 Declares http://mathhub.info/MitM/Foundation/sets?Sets http://mathhub.info/MitM/Foundation/sets?Sets?prop_pairing_unique
 constant http://mathhub.info/MitM/Foundation/sets?Sets?prop_pairing_unique
@@ -126,7 +123,6 @@ DependsOn http://mathhub.info/MitM/Foundation/sets?Sets?prop_pairing_unique?defi
 DependsOn http://mathhub.info/MitM/Foundation/sets?Sets?prop_pairing_unique?definition http://mathhub.info/MitM/Foundation/sets?Sets?element?type
 DependsOn http://mathhub.info/MitM/Foundation/sets?Sets?prop_pairing_unique?definition http://mathhub.info/MitM/Foundation/sets?Sets?set?type
 DependsOn http://mathhub.info/MitM/Foundation/sets?Sets?prop_pairing_unique?definition http://mathhub.info/MitM/Foundation?Logic?exists_unique?type
-DependsOn http://mathhub.info/MitM/Foundation/sets?Sets?prop_pairing_unique?definition http://mathhub.info/MitM/Foundation?Logic?prop?type
 DependsOn http://mathhub.info/MitM/Foundation/sets?Sets?prop_pairing_unique?definition http://mathhub.info/MitM/Foundation?Logic?or?type
 DependsOn http://mathhub.info/MitM/Foundation/sets?Sets?prop_pairing_unique?definition http://mathhub.info/MitM/Foundation?Logic?forall?type
 DependsOn http://mathhub.info/MitM/Foundation/sets?Sets?prop_pairing_unique?definition http://mathhub.info/MitM/Foundation?Logic?prop?definition
@@ -137,7 +133,6 @@ DependsOn http://mathhub.info/MitM/Foundation/sets?Sets?prop_union?definition ht
 DependsOn http://mathhub.info/MitM/Foundation/sets?Sets?prop_union?definition http://mathhub.info/MitM/Foundation/sets?Sets?element?type
 DependsOn http://mathhub.info/MitM/Foundation/sets?Sets?prop_union?definition http://mathhub.info/MitM/Foundation/sets?Sets?set?type
 DependsOn http://mathhub.info/MitM/Foundation/sets?Sets?prop_union?definition http://mathhub.info/MitM/Foundation?Logic?exists_unique?type
-DependsOn http://mathhub.info/MitM/Foundation/sets?Sets?prop_union?definition http://mathhub.info/MitM/Foundation?Logic?prop?type
 DependsOn http://mathhub.info/MitM/Foundation/sets?Sets?prop_union?definition http://mathhub.info/MitM/Foundation?Logic?iff?type
 DependsOn http://mathhub.info/MitM/Foundation/sets?Sets?prop_union?definition http://mathhub.info/MitM/Foundation?Logic?forall?type
 DependsOn http://mathhub.info/MitM/Foundation/sets?Sets?prop_union?definition http://mathhub.info/MitM/Foundation?Logic?prop?definition
@@ -147,7 +142,6 @@ DependsOn http://mathhub.info/MitM/Foundation/sets?Sets?prop_powerset?definition
 DependsOn http://mathhub.info/MitM/Foundation/sets?Sets?prop_powerset?definition http://mathhub.info/MitM/Foundation/sets?Sets?element?type
 DependsOn http://mathhub.info/MitM/Foundation/sets?Sets?prop_powerset?definition http://mathhub.info/MitM/Foundation/sets?Sets?set?type
 DependsOn http://mathhub.info/MitM/Foundation/sets?Sets?prop_powerset?definition http://mathhub.info/MitM/Foundation?Logic?exists_unique?type
-DependsOn http://mathhub.info/MitM/Foundation/sets?Sets?prop_powerset?definition http://mathhub.info/MitM/Foundation?Logic?prop?type
 DependsOn http://mathhub.info/MitM/Foundation/sets?Sets?prop_powerset?definition http://mathhub.info/MitM/Foundation?Logic?iff?type
 DependsOn http://mathhub.info/MitM/Foundation/sets?Sets?prop_powerset?definition http://mathhub.info/MitM/Foundation?Logic?forall?type
 DependsOn http://mathhub.info/MitM/Foundation/sets?Sets?prop_powerset?definition http://mathhub.info/MitM/Foundation?Logic?prop?definition
@@ -158,7 +152,6 @@ DependsOn http://mathhub.info/MitM/Foundation/sets?Sets?prop_replacement?definit
 DependsOn http://mathhub.info/MitM/Foundation/sets?Sets?prop_replacement?definition http://mathhub.info/MitM/Foundation/sets?Sets?element?type
 DependsOn http://mathhub.info/MitM/Foundation/sets?Sets?prop_replacement?definition http://mathhub.info/MitM/Foundation/sets?Sets?set?type
 DependsOn http://mathhub.info/MitM/Foundation/sets?Sets?prop_replacement?definition http://mathhub.info/MitM/Foundation?Logic?exists_unique?type
-DependsOn http://mathhub.info/MitM/Foundation/sets?Sets?prop_replacement?definition http://mathhub.info/MitM/Foundation?Logic?prop?type
 DependsOn http://mathhub.info/MitM/Foundation/sets?Sets?prop_replacement?definition http://mathhub.info/MitM/Foundation?Logic?iff?type
 DependsOn http://mathhub.info/MitM/Foundation/sets?Sets?prop_replacement?definition http://mathhub.info/MitM/Foundation?Logic?forall?type
 DependsOn http://mathhub.info/MitM/Foundation/sets?Sets?prop_replacement?definition http://mathhub.info/MitM/Foundation?Logic?prop?definition
diff --git a/relational/http..mathhub.info/MitM/Foundation/sets/$Union.rel b/relational/http..mathhub.info/MitM/Foundation/sets/$Union.rel
index 4b6663a..36cc9df 100644
--- a/relational/http..mathhub.info/MitM/Foundation/sets/$Union.rel
+++ b/relational/http..mathhub.info/MitM/Foundation/sets/$Union.rel
@@ -17,6 +17,7 @@ constant http://mathhub.info/MitM/Foundation/sets?Union?union
 DependsOn http://mathhub.info/MitM/Foundation/sets?Union?union?type http://mathhub.info/MitM/Foundation/sets?Sets?set?type
 DependsOn http://mathhub.info/MitM/Foundation/sets?Union?union?definition http://mathhub.info/MitM/Foundation?Logic?exists_unique?definition
 DependsOn http://mathhub.info/MitM/Foundation/sets?Union?union?definition http://mathhub.info/MitM/Foundation?DescriptionOperator?that?type
+DependsOn http://mathhub.info/MitM/Foundation/sets?Union?union?definition http://mathhub.info/MitM/Foundation?Logic?eq?type
 DependsOn http://mathhub.info/MitM/Foundation/sets?Union?union?definition http://mathhub.info/MitM/Foundation/sets?Union?axiom_union?type
 DependsOn http://mathhub.info/MitM/Foundation/sets?Union?union?definition http://mathhub.info/MitM/Foundation?Logic?and?type
 DependsOn http://mathhub.info/MitM/Foundation/sets?Union?union?definition http://cds.omdoc.org/urtheories?Bool?BOOL?type
@@ -26,6 +27,7 @@ DependsOn http://mathhub.info/MitM/Foundation/sets?Union?union?definition http:/
 DependsOn http://mathhub.info/MitM/Foundation/sets?Union?union?definition http://mathhub.info/MitM/Foundation?Logic?exists?type
 DependsOn http://mathhub.info/MitM/Foundation/sets?Union?union?definition http://mathhub.info/MitM/Foundation?Logic?ded?definition
 DependsOn http://mathhub.info/MitM/Foundation/sets?Union?union?definition http://mathhub.info/MitM/Foundation?Logic?unique?type
+DependsOn http://mathhub.info/MitM/Foundation/sets?Union?union?definition http://mathhub.info/MitM/Foundation?Logic?implies?type
 DependsOn http://mathhub.info/MitM/Foundation/sets?Union?union?definition http://mathhub.info/MitM/Foundation/sets?Sets?element?type
 DependsOn http://mathhub.info/MitM/Foundation/sets?Union?union?definition http://mathhub.info/MitM/Foundation/sets?Sets?set?type
 DependsOn http://mathhub.info/MitM/Foundation/sets?Union?union?definition http://mathhub.info/MitM/Foundation?Logic?prop?type
-- 
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