Commit graph

582 commits

Author SHA1 Message Date
Floris van Doorn
b998a49ec4 feat(red_susp): define pelim 2017-04-10 20:33:14 -04:00
Floris van Doorn
c268731093 fix(hott): small changes to pointed and susp and book.md 2017-03-30 16:51:51 -04:00
Floris van Doorn
8e2adaa5ba feat(pointed): generalize the definition of ap1 so that we can use path induction to prove properties about it 2017-03-30 16:51:20 -04:00
Floris van Doorn
540d451e01 fix(hott): small fixes 2017-03-07 22:56:47 -05:00
Floris van Doorn
8bdd699fca feat(functor.adjoint): give another way to construct an adjunction 2017-03-07 22:48:44 -05:00
Floris van Doorn
916bde4050 feat(pointed): make the definition of ap1 and ap1_con more convenient to use 2017-02-18 17:18:41 -05:00
Floris van Doorn
7430d2c73b fix(hott): fix cofiber.elim and redefine cofiber as the symmetric pushout 2017-02-16 23:31:58 -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
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
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.
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
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