Commit graph

8698 commits

Author SHA1 Message Date
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
Jeremy Avigad
2cdefbbf0c feat(library/theories/commutative_algebra/ideal.lean): add ideals and ring quotient 2016-07-27 14:19:57 -04:00
Jeremy Avigad
e72032d46a fix(library/theories/group_theory/{basic,quotient}): small fixes 2016-07-27 12:46:14 -04:00
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
Jakob von Raumer
8d4ad591c8 feat(hott) add missing pathover lemmas 2016-07-09 10:31:41 -07:00
Jakob von Raumer
a5fe82f177 feat(hott) add carrier and hom set of rezk completion 2016-07-09 10:31:41 -07:00
Leonardo de Moura
a5fb28ca78 chore(frontends/lean,tests): fix tests and style 2016-07-09 10:29:34 -07:00
Gabriel Ebner
53236718a8 refactor(library/data/pnat): make pnat a decidable_linear_order 2016-07-09 10:23:10 -07:00
Floris van Doorn
e4071639f1 fix(builtin_cmds): metavar_args should be false by default 2016-07-09 10:21:17 -07:00
Floris van Doorn
2cc8914874 feat(homotopy): add results about infty-connectedness and loops of EM-spaces 2016-07-09 10:20:22 -07:00
Floris van Doorn
3213b1b3b0 feat(EM): Prove some corollaries of Whitehead's principle, and prove that K(G,1) is unique.
Also reorder the arguments of is_equiv_compose
2016-07-09 10:20:22 -07:00
Floris van Doorn
fb81bcaeee fix(tests): fix tests after changes is the HoTT library 2016-07-09 10:20:22 -07:00
Floris van Doorn
17ccc283a9 feat(hott): move basic theorems from colimit development to library.
Most notable changes:
rename apo011 -> apd011 and apd011 -> apdt011
make an argument of pathover_of_eq explicit
2016-07-09 10:20:22 -07:00
Floris van Doorn
ae1b2e854c feat(hott): various minor changes 2016-07-09 10:20:21 -07:00
Floris van Doorn
fcf06ae2f5 feat(vankampen): prove the van Kampen theorem with basepoints 2016-07-09 10:20:21 -07:00
Floris van Doorn
e5ab514263 feat(lstlean.tex): add Omega, and fix ` and * 2016-07-09 10:20:21 -07:00
Floris van Doorn
15cdd593c1 feat(init.{equiv|ua}): remove duplicated theorem 2016-07-09 10:20:21 -07:00
Floris van Doorn
41de1a8271 feat(hit): add construction of propositional truncation to the library 2016-07-09 10:20:21 -07:00
Floris van Doorn
735230ad07 feat(hott): small changes, simplify van Kampen 2016-07-09 10:20:21 -07:00
Floris van Doorn
e96e4a677d feat(homotopy): prove the naive Seifert-Van Kampen theorem
Also define the pushout of categories and the pushout of groupoids
2016-07-09 10:20:21 -07:00
Floris van Doorn
61848c4a2e feat(hott): define pushout of groupoids 2016-07-09 10:20:21 -07:00
Floris van Doorn
9f13527c25 chore(hott): update default files and some markdown files 2016-07-09 10:20:21 -07:00