Commit graph

339 commits

Author SHA1 Message Date
Floris van Doorn
5e4441cb43 fix(functor.equivalence): comment out sorry's 2015-11-08 14:04:59 -08:00
Floris van Doorn
49cb516c71 feat(category.limit): prove that the limit functor is right adjoint to the diagonal map 2015-11-08 14:04:59 -08:00
Floris van Doorn
36dfb61a3e feat(category.limits): prove that yoneda preserves limits 2015-11-08 14:04:59 -08:00
Floris van Doorn
46dba4ee5e refactor(category): move some files to subfolders, and create file with basic functors 2015-11-08 14:04:59 -08:00
Floris van Doorn
e14754a337 feat(category): start on proof of yoneda preserves limits and limit functor is left adjoint 2015-11-08 14:04:59 -08:00
Floris van Doorn
a99a99f047 feat(hit/quotient): prove the flattening lemma 2015-11-08 14:04:59 -08:00
Floris van Doorn
aa9f32a3bd fix(init/equiv): make transport not an instance 2015-11-08 14:04:59 -08:00
Floris van Doorn
f2d07ca23c feat(category): various small changes in category theory 2015-11-08 14:04:59 -08:00
Floris van Doorn
de1c47eda9 feat(categories): add exponential laws for categories
also give nicer rules to construct equalities between (pre)categories
2015-11-08 14:04:59 -08:00
Floris van Doorn
0e7b7af1da refactor(category): add new folder functor, split adjoint file into separate files 2015-11-08 14:04:59 -08:00
Floris van Doorn
3f0d8c0a8c feat(category.adjoint): prove more about functors 2015-11-08 14:04:58 -08:00
Floris van Doorn
18ec5f8b85 feat(categories): prove introduction rule for equivalences 2015-11-08 14:04:58 -08:00
Floris van Doorn
448178a045 feat(category.functor2): prove that the category of functors is complete and cocomplete if the codomain is 2015-11-08 14:04:58 -08:00
Floris van Doorn
3b7afad6ad feat(category.hset): prove that the category of sets is cocomplete 2015-11-08 14:04:58 -08:00
Floris van Doorn
c7fd29f854 feat(category): start with the introduction rule for equivalences 2015-11-08 14:04:58 -08:00
Leonardo de Moura
50186e2db3 feat(library/class_instance_resolution): add old type class resolution procedure back to be able to compile HoTT library 2015-11-08 14:04:58 -08:00
Leonardo de Moura
d1e111fd6c fix(hott,frontends/lean,library,library/tactic): make sure we can still compile the HoTT library 2015-11-08 14:04:55 -08:00
Leonardo de Moura
8ee214f133 checkpoint: new numeral encoding 2015-11-08 14:04:55 -08:00
Leonardo de Moura
744d1cba3d feat(library,hott,frontends/lean): avoid keywords with hyphen 2015-11-08 14:04:54 -08:00
Jakob von Raumer
d508ceccec feat(hott/homotpy) add join operator, and prove two basic lemmas 2015-10-13 09:59:24 -07:00
Floris van Doorn
115dedbd1c fix(hott): notation spacing and markdown files 2015-10-02 16:26:10 -07:00
Leonardo de Moura
ede23a3267 feat(hott,library): add additional spacing hints 2015-09-30 17:41:44 -07:00
Floris van Doorn
aac13a2ee7 fix(hott): minor changes to merge ulrik and my commits 2015-09-28 09:09:22 -07:00
Floris van Doorn
2264759060 feat(category): define colimits as dual of limits 2015-09-28 09:09:22 -07:00
Floris van Doorn
df73931a6d feat(category.opposite): prove that the opposite of a univalent category is univalent 2015-09-28 09:09:22 -07:00
Floris van Doorn
099bd95ebd feat(category.limits): prove that being complete is a mere proposition for categories 2015-09-28 09:09:22 -07:00
Floris van Doorn
51edd0ad1d feat(category.constructions.hset): prove that the category of sets is complete 2015-09-28 09:09:22 -07:00
Floris van Doorn
f82d1bd566 feat(category): add limits in a category 2015-09-28 09:09:22 -07:00
Floris van Doorn
6e23305c5d feat(category): define terminal, initial, indiscrete and sum category 2015-09-28 09:09:21 -07:00
Floris van Doorn
3c4c722afd feat(hott): port more from chapters 4 and 6 of the book 2015-09-28 09:09:21 -07:00
Ulrik Buchholtz
c6f3f6f3f4 feat(hott): prove HoTT book 7.5.4 and 7.5.5 2015-09-28 09:09:21 -07:00
Ulrik Buchholtz
25ed9d6e5a feat(hott): prove HoTT book Theorem 4.7.7 2015-09-28 09:09:21 -07:00
Ulrik Buchholtz
ed1029641a fix(hott/*): update book.md and clean up homotopy.connectedness 2015-09-28 09:09:21 -07:00
Ulrik Buchholtz
2c22501084 feat(hott): prove HoTT book Theorem 4.7.6 2015-09-28 09:09:21 -07:00
Leonardo de Moura
33f46fd137 feat(library/blast): parse blast tactic and invoke stub 2015-09-25 12:45:16 -07:00
Leonardo de Moura
4a6ff8058d fix(hott): import commands (some files have been moved to different directories) 2015-09-25 09:39:45 -07:00
Ulrik Buchholtz
384a366e0f refactor(hott): move homotopy hits to new homotopy folder 2015-09-24 22:52:33 -04:00
Floris van Doorn
732897340d fix(types): change some definitions to theorems 2015-09-11 23:35:21 -07:00
Floris van Doorn
fb364f8bc7 feat(types): add more equivalences between combinations of type constructors 2015-09-11 23:35:21 -07:00
Floris van Doorn
e84b22864f feat(hott): various changes in the HoTT library 2015-09-11 23:35:21 -07:00
Floris van Doorn
bd3aa9cf54 feat(category): prove Theorem 9.5.9 from the HoTT book 2015-09-11 23:35:21 -07:00
Floris van Doorn
1a3b363467 feat(category): prove that the yoneda embedding is an embedding 2015-09-11 23:35:21 -07:00
Floris van Doorn
fd89aa77a3 feat(hott): prove Yoneda lemma 2015-09-11 23:35:21 -07:00
Floris van Doorn
817d691237 fix(hott/init/nat): also define ℕ in the top-level in HoTT 2015-09-11 23:35:21 -07:00
Leonardo de Moura
cae2271818 refactor(hott/algebra/category/adjoint): rewrite expensive proof
see #815
2015-09-01 16:59:14 -07:00
Floris van Doorn
a8964adb9c fix(hott): make sure there are no sorry's visible 2015-09-01 15:17:46 -07:00
Floris van Doorn
7e52c49dce feat(hott): many changes is the HoTT library
Prove that 'is_left_adjoint F' is a mere proposition, although this proof is commented out because it takes ~10 seconds
2015-09-01 15:17:46 -07:00
Floris van Doorn
f555120428 feat(types/eq): add general encode-decode method 2015-09-01 15:17:46 -07:00
Floris van Doorn
f4892db432 feat(types.trunc): prove the principle of unique choice 2015-09-01 15:17:46 -07:00
Floris van Doorn
c24fd508b6 feat(hott/types): add more about pathovers in type constructors, prove that double negation elimination doesn't hold universally 2015-09-01 15:17:46 -07:00