Floris van Doorn
c8477d28ba
generalize many results about pointed homotopies of nondependent maps to dependent maps
2017-07-21 15:53:34 +01:00
Floris van Doorn
1a26d405ef
define pmap in terms of ppi
2017-07-21 15:53:34 +01:00
Floris van Doorn
27cde0aeae
feat(hott): rename ppi_gen to 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
64327eb804
fix precedence of ->*
...
and some other small changes
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
Jeremy Avigad
519dcee739
fix(hott/algebra/homomorphism): fix typos
2017-07-01 13:08:02 +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
a1126cfcf2
feat(trunc): simplify proof further
2017-06-16 14:38:46 -04:00
Floris van Doorn
9066ee4801
feat(trunc): simplify proof
...
unreachable code was reached with the old proof in some builds
2017-06-16 14:34:52 -04:00
Floris van Doorn
123ef6ab67
fix(datatypes): further fix incorrect comment
2017-06-15 15:28:54 -04:00
ia0
cad1ed3395
fix(hott/init/datatypes): incorrect comment
2017-06-15 15:10:26 -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
8a7319244f
fix(group_theory): make group_fun an abbreviation
...
this fixes an error where the elaborator wouldn't unify `group_fun (homomorphism_compose g f) x` with `ap (group_fun g) ?M`
2017-06-14 18:41:40 -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
76a8dd1816
fix(prod): revert change with unintended consequence
2017-05-24 17:13:10 -04:00
Floris van Doorn
ba5368c4ae
feat(hott): various small changes
2017-05-22 00:56:05 -04:00
Floris van Doorn
2227d9d1be
feat(group_power): add some facts
2017-05-22 00:56:04 -04:00
Floris van Doorn
0cf04ed3f2
feat(hott): port group_power and int/order from standard library. Update markdown files
2017-05-22 00:56:04 -04:00
Floris van Doorn
a588c0f205
chore(algebra): clean up some imports
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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
8bdd699fca
feat(functor.adjoint): give another way to construct an adjunction
2017-03-07 22:48:44 -05:00
Floris van Doorn
916bde4050
feat(pointed): make the definition of ap1 and ap1_con more convenient to use
2017-02-18 17:18:41 -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
5eafb1f6b2
feat(algebra): use infinity groups
2017-02-02 21:38:48 -05:00
Floris van Doorn
25ab404781
feat(algebra): define the infinity-version of algebraic structures with one binary operator
2017-02-02 17:23:23 -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
217035b06c
feat(hott): minor changes
2017-01-18 22:24:59 +01:00
Floris van Doorn
dbe4856cbd
fix(nat/hott): add constructor attribute for is_succ
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
ecbe4af3c7
fix(hott:group): use only reducible definitions in instances
2016-12-02 16:55:23 -08:00
Floris van Doorn
d12a2a264b
fix(hott:group_theory): change group to has_mul
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.
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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
