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
52dd6cf90b
feat(hott): Port files from other repositories to the HoTT library.
...
This commit adds truncated 2-quotients, groupoid quotients, Eilenberg MacLane spaces, chain complexes, the long exact sequence of homotopy groups, the Freudenthal Suspension Theorem, Whitehead's principle, and the computation of homotopy groups of almost all spheres which are known in HoTT.
2016-05-06 14:27:27 -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
Jakob von Raumer
651df51cb7
chore(hott) the coercion doesn't seem to be the problem
2016-04-11 09:45:59 -07:00
Jakob von Raumer
7a9e1c7f4f
chore(hott) fix sum proof by adding manual coercions
2016-04-11 09:45:59 -07:00
Floris van Doorn
f983724cf6
feat(pointed): merge pointed2 into pointed
...
We move the basic notions of pointed types into init.pointed, to avoid cycles in the import graph. Also adds pointed versions of pi and sigma, with corresponding notation
2016-04-11 09:45:59 -07:00
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
e515875464
feat(hott): various additions
2016-03-03 10:13:20 -08:00
Leonardo de Moura
cc8d9bc7ff
refactor(hott): replace 'assert'-expr with 'have'-expr
2016-02-29 12:11:17 -08:00
Leonardo de Moura
1924b2884c
refactor(library/tactic): remove 'append' and 'interleave' tacticals
...
Preparation for major refactoring in the tactic framework.
2016-02-24 16:02:16 -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
c0abcc7722
chore(hott): fix signature of previous lemma
2016-02-09 09:59:03 -08:00
Jakob von Raumer
3c7536cff8
chore(hott): clean up cancellability proof a bit
2016-02-09 09:58:57 -08:00
Jakob von Raumer
4edb6d7765
feat(hott): finish cancelling law for sums with unit
2016-02-09 09:58:31 -08:00
Jakob von Raumer
0ad8131985
feat(hott): start cancellation proof for sums
2016-02-09 09:58:24 -08:00
Jakob von Raumer
1042f6c29d
feat(hott): port finite ordinal sets from the std library, with all things related to nat.mod and to fintype still missing.
...
create a logic.hlean file for further extension of the logic theory in the prelude. add distributivity lemmas for products and sums.
2016-02-09 09:58:10 -08:00
Floris van Doorn
da5f10ce63
feat(hott): minor fixes. allow the usage of numerals for trunc_index
2015-12-17 12:46:16 -08:00
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
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
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
Floris van Doorn
cfddfdfa84
feat(hott/types): add characterization of lift, prove that Type.{u} is not an hset
2015-09-01 15:17:46 -07:00
Floris van Doorn
e51ba09a27
feat(hott): add types.sum, greatly expand types.prod, minor changes in types.sigma and types.pi
2015-08-07 13:34:41 -07:00
