Floris van Doorn
3d0d0947d6
various cleanup changes in library
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some of the changes are backported from the hott3 library
pi_pathover and pi_pathover' are interchanged (same for variants and for sigma)
various definitions received explicit arguments: pinverse and eq_equiv_homotopy and ***.sigma_char
eq_of_fn_eq_fn is renamed to inj
in definitions about higher loop spaces and homotopy groups, the natural number arguments are now consistently before the type arguments
2018-09-10 17:59:11 +02:00
Floris van Doorn
afdcf7cb71
backport some changes from lean 3
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ap_compose' is reversed, and is_trunc_equiv_closed and variants don't have a type class argument anymore
2018-09-10 17:05:29 +02:00
Floris van Doorn
a69a4226c6
reorder arguments of definitions about squares and squareovers
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This is to be consistent with the order of the type square. These arguments are mostly implicit, with as most notable exception the square(over) fillers.
2018-09-07 11:58:46 +02:00
Floris van Doorn
8d2da84b61
make arguments of some definitions implicit in cubical.square
2018-09-07 11:58:26 +02:00
Floris van Doorn
c5d31f76d7
move definitions from spectral repository here
2018-09-07 11:58:13 +02:00
Floris van Doorn
7d0eecc449
feat(hott): move basic lemmas from the spectral repository to the main repository
2017-06-02 12:13:20 -04:00
Floris van Doorn
540d451e01
fix(hott): small fixes
2017-03-07 22:56:47 -05:00
Floris van Doorn
249d57cd02
feat(hott): small additions and fixes
2017-01-18 22:24:59 +01:00
Floris van Doorn
55bdf2764b
feat(homotopy/red_susp): prove that reduced suspension is equivalent to suspension, and some small things
2017-01-18 22:24:59 +01:00
Floris van Doorn
e87a27cb4b
fix(hott/init/path): reorder arguments of whisker_right
2016-12-02 16:55:23 -08:00
Floris van Doorn
9342fe2716
feat(hott) move many lemmas to library, and cleanup various parts
2016-12-02 16:55:23 -08:00
Floris van Doorn
17ccc283a9
feat(hott): move basic theorems from colimit development to library.
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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
ab7adf3084
fix(pathover): remove unused argument of loop_pathover
2016-05-06 14:27:27 -07:00
Floris van Doorn
dc37ec954d
refactor(hott): rename apdo to apd
2016-04-11 09:45:59 -07:00
Ulrik Buchholtz
bd9e47c82c
feat(hott): functoriality of pushout; connectedness in is_conn namespace
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other changes:
- move result about connectedness of susp to homotopy.susp
- improved definition of circle multiplication
- improved the interface to join
2016-03-23 09:22:55 -07:00
Floris van Doorn
2d9c3985c9
feat(square): add variants of eq_pathover
2016-03-06 13:03:31 -05:00
Floris van Doorn
5cacebcf86
feat(hott): replace assert by have and merge namespace equiv.ops into equiv
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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
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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
