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53 commits

Author SHA1 Message Date
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
Jakob von Raumer
664132b845 feat(hott): add calc lemmas for pointed equivalences, make pinl and pinr constructors 2016-01-24 16:30:16 -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
2325d23f68 feat(hott): port nat and int from the standard library 2015-12-09 12:36:11 -08:00
Floris van Doorn
88a62f8e74 feat(algebra|types): small additions 
add to markdown file for algebra, and add some definitions in types/
 2015-11-22 14:21:25 -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
Floris van Doorn
47be1e3a15 feat(types/pointed): change definition of loop space 2015-11-16 21:32:09 -08:00
Floris van Doorn
115dedbd1c fix(hott): notation spacing and markdown files 2015-10-02 16:26:10 -07:00
Floris van Doorn
3c4c722afd feat(hott): port more from chapters 4 and 6 of the book 2015-09-28 09:09:21 -07:00
Floris van Doorn
7a780b1b60 feat(hott): various minor changes in the HoTT library 2015-08-04 13:01:11 +02:00
Leonardo de Moura
a9515ac7a4 feat(library/tactic/rewrite_tactic): try to fold nested recursive applications after unfolding a recursive function 
See issue #692.
The implementation still has some rough spots.
It is not clear what the right semantic is.
Moreover, the folds in e_closure could not be eliminated automatically.
 2015-07-08 21:19:18 -04:00
Leonardo de Moura
4b1b3e277f feat(frontends/lean): rename '[unfold-c]' to '[unfold]' and '[unfold-f]' to '[unfold-full]' 
see issue #693
 2015-07-07 16:37:06 -07:00
Floris van Doorn
ea0f57aef5 feat(hott): various clean-up and small additions 2015-06-25 22:31:40 -04:00
Floris van Doorn
2748525c21 feat(hit/susp): finish the proof that loop space is adjoint to the suspension 2015-06-25 22:31:40 -04:00
Floris van Doorn
124c9d3d8a feat(hott): various cleanup and fixes, rename \~ to ~, expand types.pointed 2015-06-25 22:31:40 -04:00
Floris van Doorn
33e948d9d1 feat(hit/sphere): Prove that maps from S^n to an (n-1)-type are constant 2015-06-04 20:14:13 -04:00
Floris van Doorn
876aa20ad6 feat(hott): Port remainder of §6.3 and §7.2 from the HoTT book 
Also prove a theorem similar to Lemma 7.3.1

There are still some sorry's in hit.suspension
 2015-06-04 20:14:12 -04:00
Jeremy Avigad
33214f0895 refactor(hott/*): remove 'Module:' lines 2015-05-23 20:52:58 +10:00