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558 commits

Author SHA1 Message Date
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
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
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
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
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
Floris van Doorn
dd5dcb1dd1 feat(hott): prove something without using ua and update book.md 2016-07-09 10:20:21 -07:00
Floris van Doorn
66ec690061 feat(book): add new theorems to book.md 2016-05-06 14:27:27 -07:00
Floris van Doorn
52dd6cf90b feat(hott): Port files from other repositories to the HoTT library. 
This commit adds truncated 2-quotients, groupoid quotients, Eilenberg MacLane spaces, chain complexes, the long exact sequence of homotopy groups, the Freudenthal Suspension Theorem, Whitehead's principle, and the computation of homotopy groups of almost all spheres which are known in HoTT.
 2016-05-06 14:27:27 -07:00
Floris van Doorn
ab7adf3084 fix(pathover): remove unused argument of loop_pathover 2016-05-06 14:27:27 -07:00
Floris van Doorn
2afdaf6906 fix(groupoid): redefine groupoid given by a group 
The composition was in the reverse order
 2016-05-06 14:27:27 -07:00
Floris van Doorn
1135d80266 feat(hott): use group isomorphisms instead of equality between groups 2016-05-06 14:27:27 -07:00