Floris van Doorn
c5d31f76d7
move definitions from spectral repository here
2018-09-07 11:58:13 +02:00
Floris van Doorn
39a8c7fef4
feat(pointed): define phomotopy as a dependent pointed function
...
this also requires dependent pointed functions to be generalized to the case where the type family only has a point over the basepoint of the basetype
2017-06-17 17:20:04 -04:00
Floris van Doorn
540d451e01
fix(hott): small fixes
2017-03-07 22:56:47 -05:00
Floris van Doorn
2d918bafaa
feat(pointed): some definition changes to make reasoning about them easier
2017-01-18 22:25:26 +01:00
Floris van Doorn
f87210fcf6
feat(hott): various small changes
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.
...
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
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
8db4676c46
feat(hott): various changes and additions in the HoTT library
...
Add more theorems about mapping cylinders, fibers, truncated 2-quotient, truncated univalence, pre/postcomposition with an iso in a precategory.
renamings: equiv.refl -> equiv.rfl and equiv_eq <-> equiv_eq'
2016-05-06 14:27:27 -07:00
Floris van Doorn
05b59aecf8
refactor(hott): rename apd to apdt
2016-04-11 09:45:59 -07:00
Floris van Doorn
671ef077b9
feat(hott): additions, mostly to types.trunc
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
...
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
Floris van Doorn
4e2cc66061
style(*): rename is_hprop/is_hset to is_prop/is_set
2016-02-22 11:15:38 -08:00
Floris van Doorn
cd74b6bff0
fix(hott): abstract some equivalence proofs
...
Note: this is important. I proved a quite complicated equivalence with calc, by chaining these
equivalences. Now if I want to know the underlying function of this composite equivalence, I have to
unfold all these instances. Without the abstracts, this took 14 seconds, and afterwards, it took 2
seconds.
2016-02-22 11:15:38 -08:00
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
f555120428
feat(types/eq): add general encode-decode method
2015-09-01 15:17:46 -07:00
Floris van Doorn
0ec525a8ee
feat(two_quotient): finish proof of elim_incl2
2015-08-07 13:34:40 -07:00
Floris van Doorn
7a780b1b60
feat(hott): various minor changes in the HoTT library
2015-08-04 13:01:11 +02:00
Leonardo de Moura
4b1b3e277f
feat(frontends/lean): rename '[unfold-c]' to '[unfold]' and '[unfold-f]' to '[unfold-full]'
...
see issue #693
2015-07-07 16:37:06 -07:00
Floris van Doorn
b94b66243e
feat(hott/types): add some theorems about operations of 2-paths
2015-06-25 22:31:41 -04:00
Floris van Doorn
ea0f57aef5
feat(hott): various clean-up and small additions
2015-06-25 22:31:40 -04:00
Floris van Doorn
2748525c21
feat(hit/susp): finish the proof that loop space is adjoint to the suspension
2015-06-25 22:31:40 -04:00
Floris van Doorn
124c9d3d8a
feat(hott): various cleanup and fixes, rename \~ to ~, expand types.pointed
2015-06-25 22:31:40 -04:00
Floris van Doorn
06528c4791
refactor(types): create cubical subfolder, update markdown files
2015-06-04 20:14:13 -04:00
Floris van Doorn
876aa20ad6
feat(hott): Port remainder of §6.3 and §7.2 from the HoTT book
...
Also prove a theorem similar to Lemma 7.3.1
There are still some sorry's in hit.suspension
2015-06-04 20:14:12 -04:00
Floris van Doorn
43bcdd7994
feat(hott): remove sorry's in circle.hlean, characterize pathovers in degenerate pi's
2015-05-26 21:37:01 -07:00
Floris van Doorn
95e0fbb71a
feat(hott): add interval and (start of) squareovers
2015-05-26 21:37:01 -07:00
Floris van Doorn
4a29f4bdd4
feat(types): incorporate pathovers in the files of the types folder
...
Conflicts:
hott/cubical/pathover.hlean
2015-05-26 21:37:01 -07:00
Jeremy Avigad
33214f0895
refactor(hott/*): remove 'Module:' lines
2015-05-23 20:52:58 +10:00
Leonardo de Moura
19361f0196
feat(library/unifier): do not fire type class resolution as last resort when type contains metavariables
...
see discussion at #604
2015-05-18 15:45:23 -07:00
Floris van Doorn
9893de6194
feat(hit/circle): prove partly that the fundamental group of the circle is int
...
Also add markdown files for nat and int
2015-05-07 16:39:04 -07:00
Leonardo de Moura
4e1146a2d5
refactor(hott,library): test new tactics in the HoTT and standard libraries
2015-05-02 22:22:31 -07:00
Floris van Doorn
5349839fa9
feat(hott): define pathovers and squares
2015-04-29 10:04:07 -07:00
Floris van Doorn
86012d841b
fix(hott): make f explicit in is_equiv.mk and a bit of renaming in init
2015-04-29 10:04:06 -07:00
Floris van Doorn
e769fdd9dc
feat(hott): make some arguments in init.path implicit and rename apD to apd
2015-04-29 10:04:06 -07:00
Jeremy Avigad
c09f1c4eaf
feat(*.md): create markdown files for HoTT library, update ones in standard library
2015-03-04 18:33:18 -08:00
Floris van Doorn
3d7656078d
feat(hott/types): prove that 'is_equiv f' is an hprop
2015-03-04 00:22:51 -05:00
Floris van Doorn
da9b134dd8
feat(hott/types): start with proof that is_equiv is an hprop
2015-03-04 00:14:18 -05:00
