Floris van Doorn
66ea4a4725
fix(LES_of_homotopy_groups): make LES of homotopy groups more usable
2017-06-14 20:03:41 -04:00
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
5eafb1f6b2
feat(algebra): use infinity groups
2017-02-02 21:38:48 -05:00
Floris van Doorn
217035b06c
feat(hott): minor changes
2017-01-18 22:24:59 +01:00
Jeremy Avigad
bb67a3b9bf
feat(hott/algebra/homomorphism): more general treatment of homomorphisms
2017-01-11 13:45:42 -05:00
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
d5a72f6327
feat(homotopy_group): use is_succ for homotopy groups
...
Now you can use πg[n] as long as Lean can find an instance that n is a successor, you don't have to always write πg[k+1]
2016-09-22 16:00:27 -04:00
Floris van Doorn
341a53b880
feat(pointed): make the naming in the pointed library more consistent.
...
Also start on a naming conventions file
2016-09-22 16:00:27 -04:00
Floris van Doorn
554abe88c2
feat(hott/algebra): define bundled additive groups as multiplicative groups
2016-09-19 22:13:42 -04:00
Floris van Doorn
8d6010ccad
feat(pointed): use pointed equivalences instead of equalities for some lemmas
2016-09-18 02:14:32 -04:00
Floris van Doorn
d70334d100
feat(hott/algebra/bundled): add a parameter to Group to specify whether it's an additive or multiplicative group
2016-09-18 02:13:30 -04:00
Floris van Doorn
467001c0a9
feat(hott): minor changes
2016-09-18 02:13:21 -04:00
Floris van Doorn
3213b1b3b0
feat(EM): Prove some corollaries of Whitehead's principle, and prove that K(G,1) is unique.
...
Also reorder the arguments of is_equiv_compose
2016-07-09 10:20:22 -07:00
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
1135d80266
feat(hott): use group isomorphisms instead of equality between groups
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
Floris van Doorn
b1ed69f621
feat(hott): small changes, mostly in pointed2
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
af4ba3d2fb
feat(hott): prove that the (n+1)-sphere is n-connected
2016-03-03 10:13:20 -08:00
Floris van Doorn
e515875464
feat(hott): various additions
2016-03-03 10:13:20 -08:00
Floris van Doorn
e5d5ef9d55
feat(hott/library): various changes and additions.
...
Most notably:
Give le.refl the attribute [refl]. This simplifies tactic proofs in various places.
Redefine the order of trunc_index, and instantiate it as weak order.
Add more about pointed equivalences.
2016-03-03 10:13:20 -08:00
Floris van Doorn
facd94a1b4
feat(hott): various changes
...
more about pointed truncated types, including pointed sets.
also increase the priority of some basic instances that nat/num/pos_num/trunc_index have 0, 1 and + (in both libraries)
also move the notation + for sum into the namespace sum, to (sometimes) avoid overloading with add
2016-02-22 11:15:38 -08:00
Floris van Doorn
087c44d614
style(hott): rename instances of pType using pfoo instead of Foo
...
For example, the pointed suspension operation was called Susp before this commit, but now is called psusp
2016-02-22 11:15:38 -08:00
Floris van Doorn
bac6d99cc7
style(hott): rename Pointed to pType
...
also rename sigma_equiv_sigma_id to sigma_equiv_sigma_right and similarly for pi
2016-02-22 11:15:38 -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
816237315c
feat(hott): various additions, especially for pointed maps/homotopies/equivalences
2016-02-22 11:15:38 -08:00
Floris van Doorn
2325d23f68
feat(hott): port nat and int from the standard library
2015-12-09 12:36:11 -08:00
Floris van Doorn
45d808ce7f
feat(homotopy/circle): give all higher homotopy groups of the circle
2015-11-22 14:21:25 -08:00
Floris van Doorn
206bcd4b2a
feat(algebra/homotopy_group): define homotopy groups
2015-11-16 21:32:09 -08:00
