Floris van Doorn
7411011340
remove HoTT library (except init)
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Use previous commit if you want to use the HoTT library
2017-02-10 12:07:22 -05:00
Floris van Doorn
18313bfab0
feat(hott): make Type.{0} impredicative
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Warnings: - no_confusion is not generated, which means that injection and cases tactics might not work
- there are some sorry's in the init folder
- most files out of the init folder don't compile
2017-02-10 12:04:08 -05:00
Floris van Doorn
5eafb1f6b2
feat(algebra): use infinity groups
2017-02-02 21:38:48 -05:00
Floris van Doorn
25ab404781
feat(algebra): define the infinity-version of algebraic structures with one binary operator
2017-02-02 17:23:23 -05:00
Floris van Doorn
2d918bafaa
feat(pointed): some definition changes to make reasoning about them easier
2017-01-18 22:25:26 +01:00
Floris van Doorn
914addc66c
feat(homotopy): introduce notation for topological type constructors
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Also change the alternative induction/recursion principle for the smash product
2017-01-18 22:24:59 +01:00
Floris van Doorn
249d57cd02
feat(hott): small additions and fixes
2017-01-18 22:24:59 +01:00
Floris van Doorn
55bdf2764b
feat(homotopy/red_susp): prove that reduced suspension is equivalent to suspension, and some small things
2017-01-18 22:24:59 +01:00
Floris van Doorn
217035b06c
feat(hott): minor changes
2017-01-18 22:24:59 +01:00
Floris van Doorn
dbe4856cbd
fix(nat/hott): add constructor attribute for is_succ
2017-01-18 22:24:59 +01:00
Floris van Doorn
f87210fcf6
feat(hott): various small changes
2017-01-18 22:24:59 +01:00
Jeremy Avigad
bb67a3b9bf
feat(hott/algebra/homomorphism): more general treatment of homomorphisms
2017-01-11 13:45:42 -05:00
Floris van Doorn
e87a27cb4b
fix(hott/init/path): reorder arguments of whisker_right
2016-12-02 16:55:23 -08:00
Floris van Doorn
a9fc853985
feat(hott/homotopy/EM): redefine Eilenberg-Maclane spaces and prove their uniqueness
2016-12-02 16:55:23 -08:00
Floris van Doorn
4ed4fb7c67
feat(hott/homotopy): cleanup cofiber and wedge, redefine smash
2016-12-02 16:55:23 -08:00
Floris van Doorn
9342fe2716
feat(hott) move many lemmas to library, and cleanup various parts
2016-12-02 16:55:23 -08:00
Floris van Doorn
ecbe4af3c7
fix(hott:group): use only reducible definitions in instances
2016-12-02 16:55:23 -08:00
Floris van Doorn
d12a2a264b
fix(hott:group_theory): change group to has_mul
2016-12-02 16:55:23 -08:00
Floris van Doorn
d5a72f6327
feat(homotopy_group): use is_succ for homotopy groups
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Now you can use πg[n] as long as Lean can find an instance that n is a successor, you don't have to always write πg[k+1]
2016-09-22 16:00:27 -04:00
Floris van Doorn
341a53b880
feat(pointed): make the naming in the pointed library more consistent.
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Also start on a naming conventions file
2016-09-22 16:00:27 -04:00
Floris van Doorn
554abe88c2
feat(hott/algebra): define bundled additive groups as multiplicative groups
2016-09-19 22:13:42 -04:00
Floris van Doorn
c884e7bbb9
feat(hott/algebra): define additive structures to be multiplicative structures
2016-09-19 22:13:35 -04:00
Floris van Doorn
8d6010ccad
feat(pointed): use pointed equivalences instead of equalities for some lemmas
2016-09-18 02:14:32 -04:00
Floris van Doorn
e2734080c6
fix(algebra): change the reducibility of some defintions
2016-09-18 02:14:32 -04:00
Floris van Doorn
11c08c51e6
fix(algebra/group_theory): split homomorphisms into additive and multiplicative homomorphisms
2016-09-18 02:14:31 -04:00
Floris van Doorn
c68e013fcb
refactor(fin+nat): move is_succ to nat
2016-09-18 02:14:25 -04:00
Floris van Doorn
d70334d100
feat(hott/algebra/bundled): add a parameter to Group to specify whether it's an additive or multiplicative group
2016-09-18 02:13:30 -04:00
Floris van Doorn
467001c0a9
feat(hott): minor changes
2016-09-18 02:13:21 -04:00
Floris van Doorn
ddec6f77ee
feat(category.pushout): finish second way of formulating universal property
2016-09-18 02:13:03 -04:00
Floris van Doorn
fd5adb831b
feat(category.pushout): finish universal property of pushout
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In the previous commit there was still one step missing: that the natural isomorphisms are also unique.
2016-09-17 17:05:46 -04:00
Floris van Doorn
fe1fbae540
feat(category.pushout): give the universal property of the pushout of categories
2016-09-17 17:05:46 -04:00
Jakob von Raumer
c81c86a9b8
chore(hott) remove duplicate lemma, make defs private, update book.md
2016-09-08 19:34:54 -07:00
Jakob von Raumer
e79063970d
feat(hott) finish proof of lemma 9.9.4
2016-09-08 19:34:54 -07:00
Jakob von Raumer
5f06496f89
feat(hott) almost finish 9.9.4 proof
2016-09-08 19:34:54 -07:00
Jakob von Raumer
3e1ee4b714
feat(hott) add functor axioms for lemma 9.9.4 construction
2016-09-08 19:34:54 -07:00
Jakob von Raumer
d26d98531c
feat(hott) add morphism part of construction for lemma 9.9.4
2016-09-08 19:34:54 -07:00
Jakob von Raumer
8718a649c4
feat(hott) add first bit of proof of 9.9.4: construction of some gadgets and prove that they are contractible
2016-09-08 19:34:54 -07:00
Jakob von Raumer
143bd765f3
chore(hott) fix markup syntax in book.md
2016-09-08 19:34:54 -07:00
Jakob von Raumer
3416430cfa
chore(hott) update book.md
2016-09-08 19:34:54 -07:00
Jakob von Raumer
548671ce1b
feat(hott) prove lemma 9.9.2: essentially surjective and full functors induce fully faithful functors in the functor category
2016-09-08 19:34:54 -07:00
Jakob von Raumer
0ff8a96be1
feat(hott) formalize book lemma 9.9.1: essentially surjective functors induce faithful functors in the functor category
2016-09-08 19:34:54 -07:00
Jakob von Raumer
3de39200a4
chore(hott) update book.md and constructions.md to include rezk completion
2016-09-08 19:34:54 -07:00
Jakob von Raumer
cc70845332
chore(hott) update book.md and constructions.md to include rezk completion
2016-07-09 10:32:50 -07:00
Jakob von Raumer
18a27cf963
chore(hott) merge namespaces in rezk completion
2016-07-09 10:31:42 -07:00
Jakob von Raumer
82a8d137da
feat(hott) prove that rezk functor is a weak equivalence
2016-07-09 10:31:42 -07:00
Jakob von Raumer
57bf0a09dd
feat(hott) add rezk completion as univalent category
2016-07-09 10:31:42 -07:00
Jakob von Raumer
86d9a1c84d
feat(hott) add id_of_iso of rezk completion
2016-07-09 10:31:42 -07:00
Jakob von Raumer
6d6ab3f36b
feat(hott) instantiate rezk completion as precategory
2016-07-09 10:31:42 -07:00
Jakob von Raumer
64e1e5404c
feat(hott) add composition for rezk completion
2016-07-09 10:31:41 -07:00
Jakob von Raumer
5c4aac6c8a
feat(hott) add idenity for rezk completion
2016-07-09 10:31:41 -07:00