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MitM
smglom
Commits
62d5ba42
Commit
62d5ba42
authored
Oct 26, 2018
by
Dennis Müller
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update
parent
c1d4c10c
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-4
metric.mmt
source/calculus/metric.mmt
+0
-0
sequencesconvergence.mmt
source/calculus/sequencesconvergence.mmt
+2
-2
measures.mmt
source/measures/measures.mmt
+1
-1
typed_sets.mmt
source/sets/typed_sets.mmt
+1
-1
No files found.
source/calculus/
normed
metric.mmt
→
source/calculus/metric.mmt
View file @
62d5ba42
File moved
source/calculus/sequencesconvergence.mmt
View file @
62d5ba42
...
...
@@ -55,8 +55,8 @@ theory SequenceConvergence : base:?Logic =
= [G,a,l] ∀[ε : ℝ+] ∀[N : ℕ] ∃[n : ℕ] (n ≥ N) ∧ ((d (a n) l) < ε) ❙
prop_hasLimit : {G: metricSpace} G^ω ⟶ prop ❘
= [G,a] ∃![g] prop_isLimit G a g ❙
limit : {G : metricSpace, a : G^ω, p : ⊦ prop_convergent G a}
dom G
❘
= [G, a, p] that (
dom G) ([g : dom G
] prop_converges G a g) p ❘
limit : {G : metricSpace, a : G^ω, p : ⊦ prop_convergent G a}
G.universe
❘
= [G, a, p] that (
G.universe) ([g : G.universe
] prop_converges G a g) p ❘
# lim 2 %I3 ❙
❚
...
...
source/measures/measures.mmt
View file @
62d5ba42
...
...
@@ -37,7 +37,7 @@ theory Measure : base:?Logic =
measureSpace = {'
universe : type ,
sigma_algebra : sigmaAlgebra universe ,
measure : measure universe sigma_algebra
r
measure : measure universe sigma_algebra
'}❙
❚
source/sets/typed_sets.mmt
View file @
62d5ba42
...
...
@@ -138,7 +138,7 @@ theory AllSets : base:?Logic =
include ?SetStructures ❙
include ?SetRelations ❙
typeof : {A} set A ⟶ type ❘
// = [A,s] ⟨A | ([x] ⊦ x ∈ s)
⟩ ❘ # setastype 2 ❙
typeof : {A} set A ⟶ type ❘
// = [A,s] ⟨ x : A | ⊦ x ∈ s
⟩ ❘ # setastype 2 ❙
elemof : {A}{s : set A, e : A} ⊦ e ∈ s ⟶ setastype s ❘ # elem 2 3 %I4❙
❚
...
...
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