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71 commits

Author SHA1 Message Date
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
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
04c80c477f add psquares with two constant sides 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
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
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
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
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
2d918bafaa feat(pointed): some definition changes to make reasoning about them easier 2017-01-18 22:25:26 +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
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
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
8d6010ccad feat(pointed): use pointed equivalences instead of equalities for some lemmas 2016-09-18 02:14:32 -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
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
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
Floris van Doorn
a6319118e3 feat(types.pointed): small additions 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
3887efa7c1 feat(hott): some renamings in init.path 2016-04-11 09:45:59 -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
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
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
6cdbc0f79f feat(pointed/equiv): add more theorems 
The theorems are mostly about the interaction between pointed equivalences and pointed homotopies
Some of these theorems were missing for (unpointed) equivalences, so I also added them there
 2016-02-22 11:15:39 -08:00
Floris van Doorn
eea2a1ac91 feat(hott): add some more abstracts 2016-02-22 11:15:39 -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
816237315c feat(hott): various additions, especially for pointed maps/homotopies/equivalences 2016-02-22 11:15:38 -08:00
Floris van Doorn
ecc141779a feat(init.path): update init.path to use tactics, also some additions 
Now the file hardly uses eq.rec explicitly anymore.
Also add the fact that horizontal and vertical inverses of paths are equal
Make one more argument explicit in eq.cancel_left and eq.cancel_right (to make it nicer to write 'apply cancel_right p')
 2016-02-22 11:15:38 -08:00
Floris van Doorn
7f09ba328e feat(hott): small changes 2016-02-22 11:15:38 -08:00
Floris van Doorn
78092af27f feat(hott): add some attributes 2016-02-22 11:15:38 -08:00
Jakob von Raumer
cb3bc1a311 feat(hott): add another constructor for pointed equivalences 2016-02-09 09:57:59 -08:00
Jakob von Raumer
7e02ea6cab feat(hott): add smash product of pointed types 2016-02-09 09:57:33 -08:00
Jakob von Raumer
aa5e188179 feat(hott): add symmetry of pushouts and pointed pushouts 2016-01-24 16:30:26 -08:00