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75 commits

Author SHA1 Message Date
Floris van Doorn
c44ad80e4e feat(homotopy/torus): give recursion and induction principle for the torus 
also change the surface of the torus to a square instead of an equality between paths
 2015-11-22 18:29:37 -08:00
Floris van Doorn
fe8a858d79 feat(hott): add recursor to refl_quotient 2015-11-22 18:29:37 -08:00
Floris van Doorn
ae92e8c94d feat(hit/two_quotient): give dependent eliminator for two_quotients 2015-11-22 18:29:37 -08:00
Floris van Doorn
482c68b387 feat(*/list): add some computation rules for lists in both libraries 2015-11-22 14:21:26 -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
5328486d49 feat(hit): add elimination rule to propositions 2015-11-22 14:21:25 -08:00
Floris van Doorn
5b8486a34f feat(set_quotient): add some properties for set_quotients 2015-11-22 14:21:25 -08:00
Floris van Doorn
a99a99f047 feat(hit/quotient): prove the flattening lemma 2015-11-08 14:04:59 -08:00
Leonardo de Moura
ede23a3267 feat(hott,library): add additional spacing hints 2015-09-30 17:41:44 -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
Leonardo de Moura
4a6ff8058d fix(hott): import commands (some files have been moved to different directories) 2015-09-25 09:39:45 -07:00
Ulrik Buchholtz
384a366e0f refactor(hott): move homotopy hits to new homotopy folder 2015-09-24 22:52:33 -04:00
Floris van Doorn
e84b22864f feat(hott): various changes in the HoTT library 2015-09-11 23:35:21 -07:00
Floris van Doorn
fd89aa77a3 feat(hott): prove Yoneda lemma 2015-09-11 23:35:21 -07:00
Floris van Doorn
a8964adb9c fix(hott): make sure there are no sorry's visible 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
ad5cda48a8 refactor(hott): move cubical folder and files eq2, function and hprop_trunc from types/ to the root HoTT directory 2015-08-07 13:34:41 -07:00
Floris van Doorn
d111607890 feat(hott): add file which maps sections of the HoTT book to the HoTT library 2015-08-07 13:34:41 -07:00
Floris van Doorn
0ec525a8ee feat(two_quotient): finish proof of elim_incl2 2015-08-07 13:34:40 -07:00
Floris van Doorn
e198be318f feat(circle): show that x = x in the circle is always Z 2015-08-04 13:01:11 +02:00
Floris van Doorn
7a780b1b60 feat(hott): various minor changes in the HoTT library 2015-08-04 13:01:11 +02:00
Leonardo de Moura
b3cd3efbb4 refactor(hott): fix "sorry"s at int/basic.hlean, and comment the remaining "sorry"s 2015-07-27 08:34:11 -07:00
Leonardo de Moura
584f9e3f49 fix(library/tactic/unfold_rec): support indexed families at unfold_rec 
This commit also removes many (now unnecessary) folds from the HoTT
library.

See issue #692

We still have to implement support for recursive definitions based on
brec_on that recurse over inductive families.
 2015-07-12 12:32:58 -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
24762fe843 feat(hit): add hits with 2-path constructors 
In hit.two_quotient we define a general construction to define hits with 2-dimensional path constructors, similar to quotients.
We can add 2-paths between any two 'words', where a word consists of 1-path constructors, concatenation and inverses.
We use this to define the torus, reflexive quotients and the reduced suspension.

There is still one 'sorry' in the construction
 2015-06-25 22:31:41 -04:00
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
fa1979c128 feat(datatypes): let the type of unit be the lowest non-Prop universe 
The definitional package (brec_on and cases_on) now use poly_unit instead of unit

closes #698
 2015-06-25 17:33:46 -07:00
Leonardo de Moura
8b7dc4e03a feat(frontends/lean): apply eta-reduction in postprocessing step 
Perhaps, we should add an option to disable this new feature.

Remark: this commit makes commit 46d418a redundant.
I'm keeping 46d418a because we may retract this commit in the future.
 2015-06-10 16:29:30 -07:00
Floris van Doorn
ff01774fd7 renaming(hit): rename type_quotient to quotient, and quotient to set_quotient 
This renaming is because type_quotient is a nonstandard name.  I've had a discussion with Egbert
Rijke, Steve Awodey and Dan Licata, and the consensus for a better name was 'quotient'.  I had to
make changes in src/kernel/hits/hits.cpp, I renamed g_type_quotient* by g_hit_quotient* (to avoid
name clash the standard library quotient, although I don't know whether that name clash would
matter).
 2015-06-04 20:14:13 -04:00
Floris van Doorn
06528c4791 refactor(types): create cubical subfolder, update markdown files 2015-06-04 20:14:13 -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
Floris van Doorn
883b4fedb9 feat(hott): start with proof to characterize (is_trunc n A) using iterated loop spaces 2015-06-04 20:14:12 -04:00
Floris van Doorn
4117455e97 feat(hott): redefine nat.le and nat.lt 
also some minor modifications in other files
 2015-06-04 20:14:12 -04:00
Floris van Doorn
d4a991ef84 feat(hott): define cubes and cubeovers 2015-06-04 20:13:53 -04:00
Floris van Doorn
96a4a015d9 fix(hit): make the nondependent eliminator standard for hits 2015-05-26 21:37:02 -07:00
Floris van Doorn
43bcdd7994 feat(hott): remove sorry's in circle.hlean, characterize pathovers in degenerate pi's 2015-05-26 21:37:01 -07:00
Floris van Doorn
c64d73aae4 feat(types.nat): prove that inequalities on nat are mere propositions 
Also some small changes in various other locations
 2015-05-26 21:37:01 -07:00
Floris van Doorn
95e0fbb71a feat(hott): add interval and (start of) squareovers 2015-05-26 21:37:01 -07:00
Floris van Doorn
d7c1a8f2e0 feat(hott): small fixes in hit and cubical.square 2015-05-26 21:37:01 -07:00
Floris van Doorn
0b12d51b25 feat(hott): use pathovers in all the recursors of hits 
move pathover file to the init folder
 2015-05-26 21:37:01 -07:00
Floris van Doorn
40d5f83851 feat(hit): start using induction tactic 2015-05-26 21:37:01 -07:00
Floris van Doorn
50290fb81c feat(hott): add recursor attribute to hits 
recursor attribute is added to both the dependent and nondependent elimination, is such a way that the dependent elimination is used by default
 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
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
6ca9635d53 feat(hit.trunc): replace sorry by proof 2015-05-18 15:59:55 -07:00
Floris van Doorn
2144036cdb feat(hott.circle): prove that the fundamental group of the circle is equal to the integers, as groups 
Also many minor fixes at various places
 2015-05-18 15:59:55 -07:00
Leonardo de Moura
19361f0196 feat(library/unifier): do not fire type class resolution as last resort when type contains metavariables 
see discussion at #604
 2015-05-18 15:45:23 -07:00