Floris van Doorn
5cacebcf86
feat(hott): replace assert by have and merge namespace equiv.ops into equiv
...
The coercion A ≃ B -> (A -> B) is now in namespace equiv. The notation ⁻¹ for symmetry of equivalences is not supported anymore. Use ⁻¹ᵉ
2016-03-03 10:13:21 -08:00
Leonardo de Moura
cc8d9bc7ff
refactor(hott): replace 'assert'-expr with 'have'-expr
2016-02-29 12:11:17 -08:00
Floris van Doorn
4e2cc66061
style(*): rename is_hprop/is_hset to is_prop/is_set
2016-02-22 11:15:38 -08:00
Jakob von Raumer
62e1431f04
chore(hott): delay lemmas about smash product until I have more ideas on how to tackle the coherence there.
2016-02-09 09:58:17 -08:00
Sebastian Ullrich
2185ee7e95
feat(library/tactic): make let tactic transparent, introduce new opaque note tactic
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The new let tactic is semantically equivalent to let terms, while `note`
preserves its old opaque behavior.
2015-12-14 10:14:02 -08:00
Jakob von Raumer
cc8a5581d6
chore(hott/cubical): add lost space hints around square concatenations
2015-12-02 23:13:25 -08:00
Jakob von Raumer
68901c7788
feat(hott/homotopy): complete join associativity proof, helper lemmas for squares
2015-12-02 23:13:21 -08:00
Jakob von Raumer
bd064ef9c8
feat(hott/homotopy): prove missing helper lemmas up to cube massaging
2015-12-02 23:13:17 -08:00
Jakob von Raumer
811f3067ff
feat(hott): join associativity proof done up to small auxiliary lemmas, add transposition, inversion of cubes
2015-12-02 23:13:12 -08:00
Jakob von Raumer
1d68d57bb9
chore(hott/cubical): adapt cubovers to new order of faces
2015-12-02 23:13:07 -08:00
Jakob von Raumer
e481e541a2
feat(hott/homotopy): more progress on join associativity
2015-12-02 23:13:03 -08:00
Jakob von Raumer
6c6dde7e48
feat(hott/homotopy): progress on join associativity, many coherence lemmas about square operations needed
2015-12-02 23:12:59 -08:00
Jakob von Raumer
1b52ae8858
feat(hott/cubical): add cube concatenations
2015-12-02 23:12:54 -08:00
Jakob von Raumer
3f1cf3835f
chore(hott/cubical): change order of visible arguments in cube
2015-12-02 23:12:50 -08:00
Jakob von Raumer
54b1d1a9fe
feat(hott/homotopy): more steps towards join associativity, cube composition
2015-12-02 23:12:46 -08:00
Jakob von Raumer
e1e8680474
feat(hott/homotopy): continue defining squares for join associativity
2015-12-02 23:12:41 -08:00
Jakob von Raumer
2bc45f4de1
feat(hott/cubical): add cubes which are degenerate in one dimension
2015-12-02 23:12:37 -08:00
Jakob von Raumer
bba6ab5a6d
feat(hott/cubical): add fillers and other little lemmas for squares and cubes
2015-12-02 23:12:34 -08:00
Floris van Doorn
c44ad80e4e
feat(homotopy/torus): give recursion and induction principle for the torus
...
also change the surface of the torus to a square instead of an equality between paths
2015-11-22 18:29:37 -08:00
Floris van Doorn
ae92e8c94d
feat(hit/two_quotient): give dependent eliminator for two_quotients
2015-11-22 18:29:37 -08:00
Floris van Doorn
a99a99f047
feat(hit/quotient): prove the flattening lemma
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
3b7afad6ad
feat(category.hset): prove that the category of sets is cocomplete
2015-11-08 14:04:58 -08:00
Floris van Doorn
e84b22864f
feat(hott): various changes in the HoTT library
2015-09-11 23:35:21 -07:00
Floris van Doorn
7e52c49dce
feat(hott): many changes is the HoTT library
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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
ad5cda48a8
refactor(hott): move cubical folder and files eq2, function and hprop_trunc from types/ to the root HoTT directory
2015-08-07 13:34:41 -07:00
Floris van Doorn
06528c4791
refactor(types): create cubical subfolder, update markdown files
2015-06-04 20:14:13 -04:00
Floris van Doorn
4a29f4bdd4
feat(types): incorporate pathovers in the files of the types folder
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Conflicts:
hott/cubical/pathover.hlean
2015-05-26 21:37:01 -07:00
Floris van Doorn
0b12d51b25
feat(hott): use pathovers in all the recursors of hits
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move pathover file to the init folder
2015-05-26 21:37:01 -07:00
Floris van Doorn
50290fb81c
feat(hott): add recursor attribute to hits
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recursor attribute is added to both the dependent and nondependent elimination, is such a way that the dependent elimination is used by default
2015-05-26 21:37:01 -07:00
Jeremy Avigad
33214f0895
refactor(hott/*): remove 'Module:' lines
2015-05-23 20:52:58 +10:00
Floris van Doorn
2144036cdb
feat(hott.circle): prove that the fundamental group of the circle is equal to the integers, as groups
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Also many minor fixes at various places
2015-05-18 15:59:55 -07:00
Floris van Doorn
7cfac38eda
feat(hott): port parts of natural numbers and integers from standard library to HoTT
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This also involves:
- adding definitions about logic and natural numbers existing in the standard library to init
- porting the current algebraic hierarchy
2015-05-07 16:39:03 -07:00
Floris van Doorn
90f1a691fd
feat(hott): change notation of transport to correspond with standard library
2015-05-07 16:39:03 -07:00
Leonardo de Moura
e384894f7a
chore(hott/cubical/square): remove unnecessary annotations added in previous commit
2015-04-29 12:25:31 -07:00
Leonardo de Moura
b790ca9806
fix(library/tactic/rewrite_tactic): type check rewriting steps
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closes #550
2015-04-29 12:16:37 -07:00
Floris van Doorn
15c2ee289f
feat(hott): make some fibrations in path.hlean implicit, and a bit of renaming in init
2015-04-29 10:04:07 -07:00
Floris van Doorn
5349839fa9
feat(hott): define pathovers and squares
2015-04-29 10:04:07 -07:00
