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133 commits

Author SHA1 Message Date
Floris van Doorn
fec45abda5 feat(library/hott): multiple changes in the HoTT library 
Jakob accidentally undid some of my changes in commit aad4592, reverted that;
made style changes in multiple files;
in types/sigma: finished porting Coq-HoTT, and finished unfinished proof;
in axioms/funext: rename path_forall, make arguments implicit and make instance visible
 2014-12-09 21:32:35 -05:00
Jakob von Raumer
5278f70dea feat(library/lean) add one types as instances of groupoids 2014-12-09 19:12:54 -05:00
Jakob von Raumer
86a38c6c3d feat(library/hott) prove that each group is a contractible groupoid 2014-12-09 19:12:54 -05:00
Jakob von Raumer
f023e4999c feat(library/hott) prove that a groupoid on contractible object type is a group 2014-12-09 19:12:54 -05:00
Jakob von Raumer
7bfd897f9d feat(library/hott) add groupoid definition 2014-12-09 19:12:54 -05:00
Jakob von Raumer
116e7ff82e feat(library/hott) port Jeremy's group file to use path equality 2014-12-09 10:00:37 -08:00
Jakob von Raumer
133f935fce fix(library/hott): issues resulting from merge 2014-12-05 22:21:49 -08:00
Jakob von Raumer
7c1b75c818 feat(library/hott): add proof that the type of nat trafos is a set 
The characteriszation of nat trafo by sigma types up to equivalence is still to be done (two unsuccessful proof attempts included)
 2014-12-05 22:21:36 -08:00
Jakob von Raumer
cc2de8a8d9 feat(library/hott): complete proof that object types of proper hott categories are one truncated 2014-12-05 22:21:31 -08:00
Jakob von Raumer
aad4592cad feat(library/hott): complete theorems about truncatedness of isomorphism sets 2014-12-05 22:21:26 -08:00
Jakob von Raumer
5923392395 chore(library/hott): make precategory use the isomorphic structure 2014-12-05 22:21:21 -08:00
Jakob von Raumer
63afac301c chore(library/hott): turn isomorphic into structure 2014-12-05 22:21:16 -08:00
Jakob von Raumer
dbce41114a feat(library/hott): add definition of category 2014-12-05 22:21:12 -08:00
Jakob von Raumer
39ba9429f5 chore(library/hott): make constructions.lean compile, still lots of work to do 2014-12-05 22:21:06 -08:00
Jakob von Raumer
91862926e3 chore(library/hott): change precategory to structure, fix morphism.lean 2014-12-05 22:20:57 -08:00
Jakob von Raumer
b37a77d25e chore(library/hott): move precategory definition to its own folder 2014-12-05 22:20:40 -08:00
Jakob von Raumer
9631c6b1a1 feat(library/hott): add iso_of_path lemma for precategories 2014-12-05 22:20:33 -08:00
Jakob von Raumer
a1b468d104 feat(library/hott): port a part of algebra/category/constructions.lean, slice category still to do 2014-12-05 22:20:25 -08:00
Jakob von Raumer
67f71ee376 feat(library/hott): finish porting of natural_transformation.lean 2014-12-05 22:20:18 -08:00
Jakob von Raumer
ae618c20fb fix(library/hott): finish associativity proof 2014-12-05 22:20:11 -08:00
Jakob von Raumer
d8e2206bbc feat(library/hott): try to replace the proof irrelevance 2014-12-05 22:19:50 -08:00
Jakob von Raumer
5fe8ee606f feat(library/hott): port Floris' category implementation 2014-12-05 22:19:26 -08:00
Floris van Doorn
e52157a8ea feat(hott/types): start characterization of pi-types and W-types 2014-12-03 20:29:16 -08:00
Floris van Doorn
2913035a61 style(hott/types): some style fixes in prod and sigma 2014-12-03 20:29:16 -08:00
Floris van Doorn
ff5e3d4403 style(hott/path): indent within namespace, add variables 2014-12-03 20:29:16 -08:00
Floris van Doorn
4b799a9da4 fix(hott/trunc): add explicit coercion so that the notation works if nat is not opened 2014-12-03 20:29:16 -08:00
Leonardo de Moura
06f436840f fix(library/unifier): postpone class-instance constraints whose type could not be inferred 2014-12-01 22:27:23 -08:00
Leonardo de Moura
697d4359e3 refactor(library): add 'init' folder 2014-11-30 20:34:12 -08:00
Leonardo de Moura
2281fb30c8 refactor(library): use "symbolic" precedences in the standard library 2014-11-29 19:08:37 -08:00
Leonardo de Moura
bed9467315 chore(library/hott/trunc): remove set_option 2014-11-29 08:55:47 -08:00
Jakob von Raumer
7c81044a99 chore(library/hott) change is_pointed to structure 2014-11-28 22:50:43 -08:00
Jakob von Raumer
0417c21bbb chore(library/hott) change naming in equiv_precomp 2014-11-28 22:50:43 -08:00
Jakob von Raumer
4587e46c67 chore(library/hott) change naming to leo's naming proposal 2014-11-28 22:50:43 -08:00
Jakob von Raumer
7374149758 chore(library/hott) change equiv.lean to use structures and more typeclass inference 2014-11-28 22:50:43 -08:00
Leonardo de Moura
df51ba8b7c feat(library/definitional/projection): use strict implicit inference, closes #344 2014-11-25 18:04:06 -08:00
Jakob von Raumer
53d66c91fc chore(library/hott) made ua_implies_funext a class instance 2014-11-23 17:43:55 -08:00
Jakob von Raumer
757cdcb130 feat(library/hott) funext from ua now with arbitrary universe levels for funext! 2014-11-23 17:43:55 -08:00
Jakob von Raumer
228205634d chore(library/hott) make funext more general 2014-11-23 17:43:55 -08:00
Jakob von Raumer
12429c93c8 fix(library/hott) fix equiv_precomp, doesn't look nice now 2014-11-23 17:43:55 -08:00
Jakob von Raumer
1f6b6ff8e6 chore(library/hott) adjust funext_from_ua.lea to typeclass axioms 2014-11-23 17:43:55 -08:00
Jakob von Raumer
2d9621892b fix(library/hott) fill both gaps (I don't know why it works that way), change name from funext.apply to funext.ap, since apply seems to be a tactic name? 2014-11-23 17:43:55 -08:00
Jakob von Raumer
fd47a162de chore(library/hott) adapted theories to typeclass axioms 2014-11-23 17:43:55 -08:00
Jakob von Raumer
d8d2ea998d feat(library/hott) change axioms to Leo's axioms-as-typeclass proposal 2014-11-23 17:43:55 -08:00
Floris van Doorn
3523a70b4c fix(hott/path): make recursion-like definitions reducible 2014-11-22 17:44:13 -08:00
Floris van Doorn
e97b0b4e8e feat(hott/types): port more of the sigma library from Coq 
prove theorems about interaction of sigma types and n-types, including the fact that sigmas preserve n-types
 2014-11-22 17:44:12 -08:00
Floris van Doorn
24e35a9f2c fix(hott/trunc): comment out sorry 2014-11-22 17:44:12 -08:00
Floris van Doorn
bc807212ac feat(hott/path): add notation for higher and dependent transports 2014-11-22 17:44:12 -08:00
Floris van Doorn
e8b076e460 feat(hott/types/sigma): port large part of the sigma library from the hott library 
most importantly, prove the characterization of paths in sigma types
 2014-11-22 17:44:12 -08:00
Jakob von Raumer
19d0afe160 feat(library/hott) completed the funext_from_ua proof with a somewhat restricted generality on universe levels 2014-11-21 10:46:16 -08:00
Jakob von Raumer
bc33af9f51 feat(library/hott) add universe polymorphism to paths, truncation, etc... get stuck at ua to funext proof anyway 2014-11-21 10:46:16 -08:00