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211 commits

Author SHA1 Message Date
Leonardo de Moura
b790ca9806 fix(library/tactic/rewrite_tactic): type check rewriting steps 
closes #550
 2015-04-29 12:16:37 -07:00
Floris van Doorn
297d50378d feat(hott): add definitions using truncations and theorems about them 
define embedding, (split) surjection, retraction, existential quantifier, 'or' connective
also add a whole bunch of theorems about these definitions

still has two sorry's which can be solved after #564 is closed
 2015-04-29 10:04:07 -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
5349839fa9 feat(hott): define pathovers and squares 2015-04-29 10:04:07 -07:00
Floris van Doorn
dbdb8e6050 feat(circle): prove the path computation rule for the circle 2015-04-29 10:04:07 -07:00
Floris van Doorn
c23e707874 feat(circle): define circle as sphere 1, remove all but 1 sorry 2015-04-29 10:04:07 -07:00
Floris van Doorn
6c061991cc feat(hit): prove path computation rules for all hits except the circle 2015-04-29 10:04:07 -07:00
Floris van Doorn
70a2f6534c feat(hit): derive path computation rule for elim and elim_type for every hit 
also make argument of eq_of_rel implicit
also remove most sorry's for hits

path computation rule for rec still needs to be done for all hits
 2015-04-29 10:04:07 -07:00
Floris van Doorn
4173c958f7 feat(init.ua): add some useful consequences of ua 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
797a2d2047 refactor(category): merge precategory/ and category/, organize construction files differently. 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
Floris van Doorn
48f1aff848 feat(hott): add hit-markdown file 2015-04-29 10:04:06 -07:00
Floris van Doorn
052fbe0228 refactor(hott.init): remove subdirectories, merge some files 2015-04-29 10:04:06 -07:00
Floris van Doorn
86012d841b fix(hott): make f explicit in is_equiv.mk and a bit of renaming in init 2015-04-29 10:04:06 -07:00
Floris van Doorn
e769fdd9dc feat(hott): make some arguments in init.path implicit and rename apD to apd 2015-04-29 10:04:06 -07:00
Leonardo de Moura
d2c7b5c319 feat(library/tactic): add 'let' tactic 
closes #555
 2015-04-28 17:24:43 -07:00
Leonardo de Moura
a23118d357 feat(frontends/lean): add tactic_notation command 
This addresses the first part of issue #461

We still need support for tactic definitions
 2015-04-27 17:46:13 -07:00
Leonardo de Moura
ca8943f45b feat(library,hott): remove rapply tactic 2015-04-27 15:06:16 -07:00
Leonardo de Moura
dcc94dde82 refactor(kernel): rename may_reduce_later to is_stuck, and make is_stuck more precise 
It now reflects the definition used in the elaboration paper.
 2015-04-27 11:20:15 -07:00
Leonardo de Moura
9d01868361 feat(frontends/lean): use rewrite tactic to implement unfold (it has a unfold step) 
closes #502
 2015-04-24 17:23:12 -07:00
Leonardo de Moura
8241863abe feat(kernel/hits): add two builtin HITs: type_quotient and trunc 2015-04-23 15:32:31 -07:00
Floris van Doorn
591a563be3 feat(hit): For all hits, add the elimination to the universe (using ua) 2015-04-23 14:29:04 -07:00
Floris van Doorn
f41d92199a feat(hit): make type quotient primitive instead of colimit 2015-04-23 14:29:04 -07:00
Floris van Doorn
1d9c17342a feat(hit): define mapping cylinder, coequalizer and quotient in terms of colimit 2015-04-23 14:29:04 -07:00
Floris van Doorn
51e87213d0 feat(hit): define nondependent recursors for all hits, sequential colimit, and elaborate on spheres 
squash
 2015-04-23 14:29:04 -07:00
Floris van Doorn
ffe158f785 feat(hit.suspension): add definition of spheres and the circle 2015-04-23 14:29:04 -07:00
Floris van Doorn
2469b8a2f8 feat(hott): add primitive hits 2015-04-23 14:29:04 -07:00
Floris van Doorn
cb5b07093f fix(arity): remove unnecessary implicit arguments 2015-04-23 14:29:04 -07:00
Leonardo de Moura
2613e7c444 fix(frontends/lean): bug when handling identifiers in tactics 
This bug was reported by Jeremy in the Lean Google group:
https://groups.google.com/forum/?utm_medium=email&utm_source=footer#!msg/lean-discuss/ZKJ8WPPEVJA/n05x6rPRzvMJ
 2015-04-22 16:03:22 -07:00
Floris van Doorn
9d805437f0 fix(reserved_notation): lower binding power of 'iff' 2015-04-22 13:06:11 -07:00
Floris van Doorn
b86ee9dfa6 feat(precategory): add composition of nat. trans. with functor 2015-04-22 13:06:11 -07:00
Floris van Doorn
a79a3043ed feat(hott/types): a bit of cleanup 2015-04-22 13:06:11 -07:00
Floris van Doorn
ee4cba4e0b style(hott): a bit of cleanup 2015-04-22 13:06:11 -07:00
Floris van Doorn
17f3ac6ec2 fix(hott): fix binding power of 2 notations 2015-04-22 13:06:11 -07:00
Leonardo de Moura
22f6a95cc4 feat(frontends/lean): local notation override global one 2015-04-21 19:55:59 -07:00
Leonardo de Moura
3df99e514b fix(frontends/lean): problems with sections 2015-04-21 19:46:57 -07:00
Leonardo de Moura
76bf8de91a refactor(hott): remove most 'context' commands from the HoTT library 2015-04-21 19:17:59 -07:00
Leonardo de Moura
bf8a7eb9b4 fix(library/scoped_ext): bug in local metadata in sections 
The problem is described in issue #554
 2015-04-21 18:56:28 -07:00
Leonardo de Moura
6f6d106a10 feat(library/tactic): add "check_expr" tactic 
closes #486
 2015-04-19 19:00:05 -07:00
Floris van Doorn
60ae9f627c feat(hott): add core.hlean and types/default.hlean 2015-04-10 06:35:24 -07:00
Floris van Doorn
d1b98b6919 fix(reserved_notation): make is_typeof an abbreviation 2015-04-10 06:35:15 -07:00
Leonardo de Moura
2bc13f6bfd feat(library/tactic/exact): enforce goal type during elaboration when executing 'exact' tactic 
Remark: this was the behavior of the 'sexact' tactic.

This commit also adds the 'rexact' (relaxed exact) tactic which does not
enforce the goal type.

closes #495
 2015-04-06 13:23:38 -07:00
Leonardo de Moura
754276a660 feat(frontends/lean): round parenthesis for [tactic1 | tactic2] 
This commit also replaces the notation for divides
     `(` a `|` b `)`
with
      a `∣` b

The character `∣` is entered by typing \|

closes #516
 2015-04-06 09:24:09 -07:00
Leonardo de Moura
4ec0e1b07c feat(frontends/lean): improve calc mode 
Now, it automatically supports transitivity of the form
    (R a b) -> (b = c) -> R a c
    (a = b) -> (R b c) -> R a c

closes #507
 2015-04-04 08:58:35 -07:00
Soonho Kong
0d1da89cf1 chore(.gitignore): update 2015-03-28 23:29:41 -04:00
Leonardo de Moura
75621df52b feat(frontends/lean): uniform notation for lists in tactics 
closes #504
 2015-03-27 17:54:48 -07:00
Leonardo de Moura
b9e3c474c9 feat(library/tactic): add all_goals tactic 
closes #501
 2015-03-25 17:42:34 -07:00
Leonardo de Moura
74b28f6ad9 feat(library,hott): new notation for typeof 2015-03-24 18:35:21 -07:00
Leonardo de Moura
c0b4a47f63 refactor(hott/algebra/precategory/functor): remove unnecessary annotation 2015-03-24 12:06:16 -07:00
Leonardo de Moura
4817f2a18b refactor(hott/algebra/precategory/basic): improve basic.hlean compilation time 2015-03-24 12:06:16 -07:00
Leonardo de Moura
30e3049c56 feat(hott/algebra/precategory/nat_trans): reduce compilation time using rewrite tactic 2015-03-23 19:55:01 -07:00
Leonardo de Moura
5bf46d1226 fix(library/tactic/inversion_tactic): improve 'cases' tactic for HoTT mode 
closes #481
 2015-03-23 18:06:11 -07:00
Leonardo de Moura
227de07758 fix(hott/algebra/category/constructions): avoid type class resolution loop 2015-03-23 11:32:20 -07:00
Jakob von Raumer
024ce8012f fix(hott/algebra) make previously added lemma more applicable to groupoids 2015-03-23 11:17:57 -07:00
Jakob von Raumer
97a1cc8edb feat(hott/algebra) show that functors preserve inverses and isos 2015-03-23 11:17:56 -07:00
Jakob von Raumer
74824078a8 fix(hott/algebra) fix previous commit by importing 'arity' 2015-03-23 11:17:56 -07:00
Jakob von Raumer
36a102bad2 feat(hott/algebra) add another equality lemma for precategories 2015-03-23 11:17:56 -07:00
Jakob von Raumer
4e790057b3 feat(hott/algebra) add structure for strict precategories 2015-03-23 11:17:56 -07:00
Jakob von Raumer
10c0b3a3ca feat(hott/algebra) add characterization of paths between precategories 2015-03-23 11:17:56 -07:00
Jakob von Raumer
f480d67881 chore(hott/algebra) make carrier hset witness an instance 2015-03-23 11:17:56 -07:00
Floris van Doorn
8948926a07 style(hott/algebra/precategory): some cleanup 2015-03-16 17:15:51 -07:00
Floris van Doorn
57514244b1 feat(hott/algebra/precategory): add todo-file for adjoint functors, equivalences and isomorphisms 2015-03-16 17:15:51 -07:00
Floris van Doorn
c914b79341 feat(hott/algebra/category): show that functor category is univalent if codomain is 2015-03-16 17:15:51 -07:00
Floris van Doorn
ebba33057c feat(hott): add arity.hlean, about multivariate functions 2015-03-16 17:15:51 -07:00
Floris van Doorn
71f9a5d1d2 feat(hott/algebra/precategory): do lots of stuff with categories 2015-03-16 17:15:51 -07:00
Jakob von Raumer
7083f2fccd fix(hott/algebra) correct the name of a groupoid constructor 2015-03-13 15:45:46 -07:00
Jakob von Raumer
25abecaa26 chore(hott/algebra) cmall changes in category files 2015-03-13 15:45:02 -07:00
Leonardo de Moura
a24f8dce67 refactor(hott/algebra/precategory): minor cleanup 2015-03-12 20:52:00 -07:00
Leonardo de Moura
14aeac180a refactor(library/algebra/category/constructions): more rewrite tactic tests 2015-03-12 20:27:11 -07:00
Leonardo de Moura
adae95cf68 refactor(hott/algebra/precategory/functor): remove unnecessary annotations 2015-03-12 20:13:40 -07:00
Leonardo de Moura
265316a9f5 refactor(hott/algebra/precategory/basic): remove unnecessary set_option commands 2015-03-12 20:10:47 -07:00
Leonardo de Moura
0118ecf3cd refactor(hott/algebra/precategory/yoneda): remove unnecessary annotations 2015-03-12 20:06:25 -07:00
Leonardo de Moura
7accd0f1e6 feat(library/tactic/rewrite_tactic): allow rewrite with terms that contains binders 
see discussion at #470
 2015-03-12 18:07:55 -07:00
Leonardo de Moura
d7c6028a3e refactor(hott,library): use/test the rewrite tactic in more places 
The performance also improved.
 2015-03-12 17:25:31 -07:00
Leonardo de Moura
55586dcb2d refactor(hott/algebra/precategory/yoneda): reduce compilation time to 1sec using rewrite tactic 
After the latest improvements, the rewrite tactic "works" more often
at yoneda.hlean
 2015-03-12 17:07:27 -07:00
Leonardo de Moura
1490bdad49 feat(frontends/lean): add version of 'exact' tactic (sexact) that enforces goal type during term elaboration 2015-03-06 17:34:45 -08:00
Leonardo de Moura
368f9d347e refactor(frontends/lean): approach used to parse tactics 
The previous approach was too fragile

TODO: we should add separate parsing tables for tactics
 2015-03-05 18:11:21 -08:00
Leonardo de Moura
039afb4578 feat(frontends/lean): treat "proof t qed" as alias for "by exact t" 2015-03-05 11:12:39 -08:00
Leonardo de Moura
8295ef4e57 fix(library/tactic/class_instance_synth): constraint execution order at type class resolution 
We could not fix this problem before because we did not have the
[quasireducible] annotation.

Without this annotation, the fixed TC would loop in some HoTT files.
 2015-03-04 22:20:20 -08:00
Jeremy Avigad
c09f1c4eaf feat(*.md): create markdown files for HoTT library, update ones in standard library 2015-03-04 18:33:18 -08:00
Floris van Doorn
3d7656078d feat(hott/types): prove that 'is_equiv f' is an hprop 2015-03-04 00:22:51 -05:00
Floris van Doorn
704f2b2697 feat(hott/algebra/category): prove that set is a univalent category assuming is_equiv is an hprop 2015-03-04 00:22:41 -05:00
Floris van Doorn
5b922aad5c feat(init): add 'do' tactic 2015-03-04 00:17:41 -05:00
Floris van Doorn
da9b134dd8 feat(hott/types): start with proof that is_equiv is an hprop 2015-03-04 00:14:18 -05:00
Leonardo de Moura
e40e2f0677 feat(hott/init): define num.sub in the HoTT library 2015-03-03 16:22:59 -08:00
Leonardo de Moura
ca57b43698 feat(library/tactic): add 'change' tactic 2015-03-01 14:15:39 -08:00
Floris van Doorn
1559e0e58c feat(hott): some more renaming in category library 2015-02-28 01:16:23 -05:00
Floris van Doorn
326eaffafb style(hott/algebra): rename theorems in the HoTT category libraries 2015-02-28 01:16:23 -05:00
Floris van Doorn
23a248ab28 style(hott): let inverse notation have higher binding power than application 2015-02-28 01:16:23 -05:00
Floris van Doorn
219f7ae11a feat(hott/algebra/precategory): general cleanup in precategories, define uncurrying functor 2015-02-28 01:16:23 -05:00
Floris van Doorn
f513538631 feat(hott): more cleanup of HoTT library 
remove funext class,
remove a couple of sorry's,
add characterization of equality in trunctypes,
use Jeremy's format for headers everywhere in the HoTT library,
continue working on Yoneda embedding
 2015-02-26 13:19:54 -05:00
Floris van Doorn
c091acc55b feat(hott): remove funext as type class, add theorems to prove equalities between functors and natural transformations 2015-02-26 12:52:33 -05:00
Floris van Doorn
9201bd7ca6 feat (hott/init): move nat.of_num to init.num and make it reducible outside namespace nat 
This is so that init.trunc can already use nat.of_num.
Also make nat.of_num reducible in the standard library
Also make gt and ge abbreviations
 2015-02-26 12:28:57 -05:00
Leonardo de Moura
68110faa4d feat(frontends/lean/inductive_cmd): allow '|' in inductive datatype declarations 2015-02-25 17:00:10 -08:00
Leonardo de Moura
5ca52d81ec feat(frontends/lean): ML-like notation for match and recursive equations 2015-02-25 16:20:44 -08:00
Leonardo de Moura
3c24461e51 refactor(*): modify '|' binding power, use 'abs a' instead of '|a|', and '(a | b)' instead of 'a | b' 2015-02-25 15:18:21 -08:00
Leonardo de Moura
c04c610b7b feat(frontends/lean): add 'assert H : A, ...' as notation for 'have H [visible] : A, ...' 2015-02-25 14:30:42 -08:00
Jeremy Avigad
e513b0ead4 refactor(library,hott): rename theorems for decidable and inhabited 
The convention is this: we use e.g. nat.is_inhabited and nat.has_decidable_eq
for these two purposes only, to avoid clashing with "inhabited" and "decidable_eq"
in a namespace. Otherwise, we use "decidable_foo" and "inhabited_foo".
 2015-02-25 14:05:07 -08:00