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75 commits

Author SHA1 Message Date
Floris van Doorn
ddec6f77ee feat(category.pushout): finish second way of formulating universal property 2016-09-18 02:13:03 -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
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
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
dc37ec954d refactor(hott): rename apdo to apd 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
Leonardo de Moura
1924b2884c refactor(library/tactic): remove 'append' and 'interleave' tacticals 
Preparation for major refactoring in the tactic framework.
 2016-02-24 16:02:16 -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
43cf2ad23d style(hott): replace all other occurrences of hprop/hset 
They are replaced by either Prop/Set or prop/set
 2016-02-22 11:15:38 -08:00
Floris van Doorn
4e2cc66061 style(*): rename is_hprop/is_hset to is_prop/is_set 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
78092af27f feat(hott): add some attributes 2016-02-22 11:15:38 -08:00
Floris van Doorn
cd74b6bff0 fix(hott): abstract some equivalence proofs 
Note: this is important. I proved a quite complicated equivalence with calc, by chaining these
equivalences. Now if I want to know the underlying function of this composite equivalence, I have to
unfold all these instances. Without the abstracts, this took 14 seconds, and afterwards, it took 2
seconds.
 2016-02-22 11:15:38 -08:00
Ulrik Buchholtz
f3b2c7010f feat(hott): functoriality of quotients 2015-12-28 09:06:13 -08:00
Floris van Doorn
377755e5ab feat(types/sigma): add lemma 2015-12-09 12:34:06 -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
d402b67d25 feat(hott/function): show that a function is embedding iff it has propositional fibers 2015-11-16 21:32:09 -08:00
Floris van Doorn
a99a99f047 feat(hit/quotient): prove the flattening lemma 2015-11-08 14:04:59 -08:00
Floris van Doorn
f2d07ca23c feat(category): various small changes in category theory 2015-11-08 14:04:59 -08:00
Leonardo de Moura
744d1cba3d feat(library,hott,frontends/lean): avoid keywords with hyphen 2015-11-08 14:04:54 -08:00
Floris van Doorn
aac13a2ee7 fix(hott): minor changes to merge ulrik and my commits 2015-09-28 09:09:22 -07:00
Floris van Doorn
51edd0ad1d feat(category.constructions.hset): prove that the category of sets is complete 2015-09-28 09:09:22 -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
732897340d fix(types): change some definitions to theorems 2015-09-11 23:35:21 -07:00
Floris van Doorn
fb364f8bc7 feat(types): add more equivalences between combinations of type constructors 2015-09-11 23:35:21 -07:00
Floris van Doorn
f555120428 feat(types/eq): add general encode-decode method 2015-09-01 15:17:46 -07:00
Floris van Doorn
f4892db432 feat(types.trunc): prove the principle of unique choice 2015-09-01 15:17:46 -07:00
Floris van Doorn
c24fd508b6 feat(hott/types): add more about pathovers in type constructors, prove that double negation elimination doesn't hold universally 2015-09-01 15:17:46 -07:00
Floris van Doorn
e51ba09a27 feat(hott): add types.sum, greatly expand types.prod, minor changes in types.sigma and types.pi 2015-08-07 13:34:41 -07:00
Floris van Doorn
189293b5d4 fix(init.path): rename transport_compose to tr_compose 2015-08-07 13:34:41 -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
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
Leonardo de Moura
de90926eed refactor(hott): adjust HoTT library to new support for projections 2015-06-26 17:18:30 -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
4a29f4bdd4 feat(types): incorporate pathovers in the files of the types folder 
Conflicts:
	hott/cubical/pathover.hlean
 2015-05-26 21:37:01 -07:00
Jeremy Avigad
33214f0895 refactor(hott/*): remove 'Module:' lines 2015-05-23 20:52:58 +10:00
Leonardo de Moura
c133d26505 feat(frontends/lean/builtin_exprs): change how 'show' is processed in tactics 
Unresolved placeholders were not being reported
 2015-05-19 16:23:50 -07:00
Leonardo de Moura
e1c2340db2 fix(frontends/lean): consistent behavior for protected declarations 
see https://github.com/leanprover/lean/issues/604#issuecomment-103265608

closes #609
 2015-05-18 22:35:18 -07:00
Floris van Doorn
90f1a691fd feat(hott): change notation of transport to correspond with standard library 2015-05-07 16:39:03 -07:00
Floris van Doorn
61c1cd6840 feat(hott.init): define core namespace 2015-05-07 16:39:03 -07:00
Leonardo de Moura
4e1146a2d5 refactor(hott,library): test new tactics in the HoTT and standard libraries 2015-05-02 22:22:31 -07:00
Leonardo de Moura
9ba8b284a1 fix(library/tactic/apply_tactic): add eapply, and fix issue #361 2015-05-01 15:08:00 -07:00
Leonardo de Moura
3912bc24c8 feat(frontends/lean): nicer syntax for 'intros' 'reverts' and 'clears' 2015-04-30 11:00:39 -07:00
Floris van Doorn
15c2ee289f feat(hott): make some fibrations in path.hlean implicit, and a bit of renaming in init 2015-04-29 10:04:07 -07:00
Floris van Doorn
40086d0084 feat(hott): standardize the naming of definitions proving equality of elements of a structure 
examples:
foo_eq : Pi {A B : foo}, _ -> A = B
foo_mk_eq : Pi _, foo.mk _ = foo.mk _ (if constructor is called "bar", then this becomes "bar_eq")
foo_eq_equiv : Pi {A B : foo}, (A = B) ≃ _

also changed priority of some instances of is_trunc
 2015-04-29 10:04:06 -07:00
Floris van Doorn
b70841171a fix(hott): rename retr and sect to right_inv and left_inv 2015-04-29 10:04:06 -07:00
Floris van Doorn
23e6a3131d feat(precategory): add two redundant fields to precategory. Also some cleanup. 
In particular, all instances of "set_option apply.class_instance false" are removed
 2015-04-29 10:04:06 -07:00