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126 commits

Author SHA1 Message Date
Floris van Doorn
98fb55e428 fix two errors in the hott library 2018-09-20 01:50:34 +02:00
Floris van Doorn
4b603990fc make instances in sigma explicit 2018-09-14 17:56:25 +02:00
Floris van Doorn
c534985d3f move files from Spectral 2018-09-11 19:25:32 +02:00
Floris van Doorn
9a17a244c9 move more results and make arguments explicit 
More results from the Spectral repository are moved to this library
Also make various type-class arguments of truncatedness and equivalences which were hard to synthesize explicit
 2018-09-11 17:06:08 +02:00
Floris van Doorn
2b722b3e34 use psquare for naturality squares consistently 
this commit renames some definitions and swaps some arguments around for consistency
 2018-09-10 17:59:11 +02:00
Floris van Doorn
a7b69aeb60 remove connectivity requirement for elimination out of an K(G,n) 
also correctly order the equivalence arguments of EMadd1_pequiv and variants
 2018-09-10 17:59:11 +02:00
Floris van Doorn
3d0d0947d6 various cleanup changes in library 
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 
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
86c375b0c4 make apd10_eq_of_homotopy a homotopy 2018-09-07 11:58:46 +02:00
Floris van Doorn
c5d31f76d7 move definitions from spectral repository here 2018-09-07 11:58:13 +02:00
Floris van Doorn
227fcad22a feat(hott): various small changes 
move total_image.rec, redefine hvconcat/hvinverse and change precedence of transporto notation
 2017-09-07 14:37:07 -04:00
Floris van Doorn
34dbd6c3ae fix(homotopy_group): remove type class proof which was synthesized 2017-07-22 15:03:54 +01:00
Floris van Doorn
1a26d405ef define pmap in terms of ppi 2017-07-21 15:53:34 +01:00
Floris van Doorn
9e3611fe3e move naturality of loop-susp-adjunction to standard library 2017-07-21 15:53:34 +01:00
Floris van Doorn
ddef24223b make pointed suspensions, wedges and spheres the default (in contrast to the unpointed ones), remove sphere_index 
All HITs which automatically have a point are pointed without a 'p' in front. HITs which do not automatically have a point do still have a p (e.g. pushout/ppushout).

There were a lot of annoyances with spheres being indexed by N_{-1} with almost no extra generality. We now index the spheres by nat, making sphere 0 = pbool.
 2017-07-20 15:02:09 +01:00
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
5ad4443237 feat(pointed): rename pequiv.MK2 to pequiv.MK, it is the more natural constructor 
also move some definitions from pointed or equiv to pointed2 and define transitivity so that it computes
 2017-06-14 22:47:55 -04:00
Floris van Doorn
9265094f96 feat(pointed): redefine pequiv 
Now the underlying pointed function and pointed inverse are the functions which were put in definitionally
 2017-06-14 21:28:31 -04:00
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
a588c0f205 chore(algebra): clean up some imports 
Also add some notation to lean-input.el
 2017-05-22 00:55:35 -04:00
Floris van Doorn
b998a49ec4 feat(red_susp): define pelim 2017-04-10 20:33:14 -04:00
Floris van Doorn
c268731093 fix(hott): small changes to pointed and susp and book.md 2017-03-30 16:51:51 -04:00
Floris van Doorn
8e2adaa5ba feat(pointed): generalize the definition of ap1 so that we can use path induction to prove properties about it 2017-03-30 16:51:20 -04:00
Floris van Doorn
540d451e01 fix(hott): small fixes 2017-03-07 22:56:47 -05:00
Floris van Doorn
7430d2c73b fix(hott): fix cofiber.elim and redefine cofiber as the symmetric pushout 2017-02-16 23:31:58 -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
914addc66c feat(homotopy): introduce notation for topological type constructors 
Also change the alternative induction/recursion principle for the smash product
 2017-01-18 22:24:59 +01:00
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
f87210fcf6 feat(hott): various small 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
a9fc853985 feat(hott/homotopy/EM): redefine Eilenberg-Maclane spaces and prove their uniqueness 2016-12-02 16:55:23 -08:00
Floris van Doorn
4ed4fb7c67 feat(hott/homotopy): cleanup cofiber and wedge, redefine smash 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
c884e7bbb9 feat(hott/algebra): define additive structures to be multiplicative structures 2016-09-19 22:13:35 -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
fd5adb831b feat(category.pushout): finish universal property of pushout 
In the previous commit there was still one step missing: that the natural isomorphisms are also unique.
 2016-09-17 17:05:46 -04:00
Floris van Doorn
2cc8914874 feat(homotopy): add results about infty-connectedness and loops of EM-spaces 2016-07-09 10:20:22 -07:00
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
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
fcf06ae2f5 feat(vankampen): prove the van Kampen theorem with basepoints 2016-07-09 10:20:21 -07:00
Floris van Doorn
41de1a8271 feat(hit): add construction of propositional truncation to the library 2016-07-09 10:20:21 -07:00