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523 commits

Author SHA1 Message Date
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
15cdd593c1 feat(init.{equiv|ua}): remove duplicated theorem 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
Floris van Doorn
735230ad07 feat(hott): small changes, simplify van Kampen 2016-07-09 10:20:21 -07:00
Floris van Doorn
e96e4a677d feat(homotopy): prove the naive Seifert-Van Kampen theorem 
Also define the pushout of categories and the pushout of groupoids
 2016-07-09 10:20:21 -07:00
Floris van Doorn
61848c4a2e feat(hott): define pushout of groupoids 2016-07-09 10:20:21 -07:00
Floris van Doorn
9f13527c25 chore(hott): update default files and some markdown files 2016-07-09 10:20:21 -07:00
Floris van Doorn
dd5dcb1dd1 feat(hott): prove something without using ua and update book.md 2016-07-09 10:20:21 -07:00
Floris van Doorn
66ec690061 feat(book): add new theorems to book.md 2016-05-06 14:27:27 -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
ab7adf3084 fix(pathover): remove unused argument of loop_pathover 2016-05-06 14:27:27 -07:00
Floris van Doorn
2afdaf6906 fix(groupoid): redefine groupoid given by a group 
The composition was in the reverse order
 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
a6b5191be6 feat(pushout/susp): change definition of elim_type, so that flattening is easier to prove 2016-05-06 14:26:46 -07:00
Jakob von Raumer
651df51cb7 chore(hott) the coercion doesn't seem to be the problem 2016-04-11 09:45:59 -07:00
Jakob von Raumer
7a9e1c7f4f chore(hott) fix sum proof by adding manual coercions 2016-04-11 09:45:59 -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
4895726c54 feat(connectedness): show that if f is n-connected, then trunc_functor k f is so, too 2016-04-11 09:45:59 -07:00
Floris van Doorn
54da5bcbda feat(hott): add some [constructor] attributes 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
3240df6020 feat(book): add comments about chapter 10 2016-04-11 09:45:59 -07:00
Floris van Doorn
dc37ec954d refactor(hott): rename apdo to apd 2016-04-11 09:45:59 -07:00
Floris van Doorn
80a2e285cb feat(init/ua): add ua_symm and ua_trans 2016-04-11 09:45:59 -07:00
Floris van Doorn
05b59aecf8 refactor(hott): rename apd to apdt 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
Leonardo de Moura
226f8bafeb fix(library/tactic/rewrite_tactic): do not allow projections to be unfolded 
fixes #1032

This is just a workaround. A better fix has been implemented in the
lean3 branch.
 2016-03-28 13:02:57 -07:00
Ulrik Buchholtz
1c52062f1e chore(hott): standardize names of homotopy_of_inv_homotopy_post and friends 2016-03-23 09:22:55 -07:00
Ulrik Buchholtz
5257e282aa feat(hott/homotopy): additions to sphere and susp, improve quaternionc_hopf 2016-03-23 09:22:55 -07:00
Ulrik Buchholtz
7e8ba1440f feat(hott): update book.md and homotopy.md to reflect additions 2016-03-23 09:22:55 -07:00
Ulrik Buchholtz
f11169b8f2 feat(hott): the quaternionic hopf fibration 2016-03-23 09:22:55 -07:00
Ulrik Buchholtz
89296ec52a feat(hott): the complex hopf fibration S3 to S2 2016-03-23 09:22:55 -07:00
Ulrik Buchholtz
d53320cb0f feat(hott): the imaginaroid version of the cayley dickson construction 2016-03-23 09:22:55 -07:00
Ulrik Buchholtz
0b9084c7d2 feat(hott): hopf construction and delooping of K(G,1)s 2016-03-23 09:22:55 -07:00
Ulrik Buchholtz
bb64913e50 feat(hott): flattening lemma for susp 2016-03-23 09:22:55 -07:00
Ulrik Buchholtz
bd9e47c82c feat(hott): functoriality of pushout; connectedness in is_conn namespace 
other changes:
- move result about connectedness of susp to homotopy.susp
- improved definition of circle multiplication
- improved the interface to join
 2016-03-23 09:22:55 -07:00
Leonardo de Moura
5e14b4ebe8 fix(library,hott): avoid rewrite with patterns of the form (?M ...) 2016-03-09 15:39:17 -08:00
Floris van Doorn
003c11c917 feat(connectedness): is_conn_map -> is_conn_fun, and unbundle the P in elimination principles 2016-03-06 13:03:31 -05:00
Floris van Doorn
1e10810a1e feat(init/funext): add function extensionality as an axiom. 
This allows us to keep track of theorems which use function extensionality, but not full univalence
 2016-03-06 13:03:31 -05:00
Floris van Doorn
2d9c3985c9 feat(square): add variants of eq_pathover 2016-03-06 13:03:31 -05:00
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
058000f61d feat(homotopy/homotopy_group): add theorems in section 8.3 of the HoTT book 2016-03-03 10:13:21 -08:00
Floris van Doorn
1903601ba5 refactor(trunc): rename namespace is_trunc.trunc_index to trunc_index 2016-03-03 10:13:20 -08:00
Floris van Doorn
e2b31a9b33 feat(hott): remove multiple_instances attribute 2016-03-03 10:13:20 -08:00
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