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286 commits

Author SHA1 Message Date
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
Jeremy Avigad
fabdae6d54 refactor(hott/algebra/ring.lean,ordered_ring.lean): rename some theorems 2015-06-01 12:35:44 +10:00
Leonardo de Moura
ca110012d8 feat(library/tactic): automate "generalize-intro-induction/cases" idiom 
closes #645
 2015-05-30 21:57:28 -07:00
Leonardo de Moura
6f6848968d feat(frontends/lean/coercion_elaborator): "coercion lifting" for backtracking case 
closes #252
 2015-05-30 16:44:26 -07:00
Leonardo de Moura
00232e70d6 feat(hott,library): auxiliary theorems for simplifier 2015-05-27 16:35:56 -07:00
Leonardo de Moura
85409a59d3 feat(library/tactic/rewrite_tactic): add xrewrite and krewrite tactic variants 
closes #511
 2015-05-27 16:32:43 -07:00
Leonardo de Moura
dc6411b903 feat(library/inductive_unifier_plugin): restrict rule that was generating non-terminating behavior 
see issue #632
 2015-05-27 14:41:12 -07:00
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
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
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
54ed8a8e76 feat(hott): small changes in init and category 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
Floris van Doorn
8056f326d7 feat(reserved_notation): make is_typeof parsing-only, add ^ to HoTT 2015-05-26 21:37:01 -07:00
Jeremy Avigad
716da2488b fix(hott/*.md,library/*.md): use the word 'file' instead of 'module' 2015-05-25 16:50:42 -07:00
Leonardo de Moura
d0987eb3ac feat(library/tactic): add 'subtvars' tactic 2015-05-25 16:36:44 -07:00
Jeremy Avigad
33214f0895 refactor(hott/*): remove 'Module:' lines 2015-05-23 20:52:58 +10:00
Jeremy Avigad
d33c91d7b9 fix({hott,library}/algebra/*): fix names 2015-05-23 14:05:06 +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
78ee055de8 feat(library/tactic): add induction tactic with support for user defined recursors 
closes #483
closes #492
 2015-05-19 13:27:17 -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
c430d1d5ba feat(category.constructions): define comma category 2015-05-18 15:59:55 -07:00
Floris van Doorn
eedf1992bf feat(functor): prove sorry's, and shorten some proofs 2015-05-18 15:59:55 -07:00
Floris van Doorn
6ca9635d53 feat(hit.trunc): replace sorry by proof 2015-05-18 15:59:55 -07:00
Floris van Doorn
de6294a4ce feat(hott.core): add more files to core.hlean 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
Floris van Doorn
1597337c72 feat(path): add unfold-c attribute to definitions 2015-05-18 15:59:55 -07:00
Floris van Doorn
17a9bb4bc2 fix(types.W): clean-up W file, remove 'exit' 2015-05-18 15:59:54 -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
Leonardo de Moura
b1ece388a6 feat(frontends/lean,library/tactic/induction_tactic): improve induction tactic notation, expand induction tactic implementation 2015-05-18 09:25:07 -07:00
Leonardo de Moura
065a1f7501 feat(library/tactic): add 'induction' tactic skeleton 2015-05-12 20:21:25 -07:00
Leonardo de Moura
396f77aa68 fix(library,hott): comment 'exit' commands to avoid warnings during compilation 2015-05-11 11:49:23 -07:00
Leonardo de Moura
379af8a04e feat(library): avoid 'definition' hack for theorems 2015-05-09 12:15:30 -07:00
Leonardo de Moura
6c958a25e7 refactor(library/tactic/expr_to_tactic): make sure builtin tactics don't need to be marked opaque 
This modification is needed since we will remove opaque definitions from
the kernel.

see issue #576
 2015-05-08 16:06:16 -07:00
Leonardo de Moura
0b57f7d00a refactor(library/tactic): refine interface between tactic and proof-term modes 
Some constraints were being lost with the previous interface.
This is why we had a workaround in fintype.lean.

We can also remove some hacks we have used in the past.
 2015-05-07 18:02:51 -07:00
Floris van Doorn
c2c7c4f79f feat(hit.circle): finish proof that (base = base) is equivalent to int 2015-05-07 16:39:04 -07:00
Floris van Doorn
111c8e1529 feat(hott): add [unfold-c] and [constructor] attributes for HITs 2015-05-07 16:39:04 -07:00
Floris van Doorn
9893de6194 feat(hit/circle): prove partly that the fundamental group of the circle is int 
Also add markdown files for nat and int
 2015-05-07 16:39:04 -07:00
Floris van Doorn
0a8f4f6dab feat(function): add unfold hints to function.[h]lean 2015-05-07 16:39:03 -07:00
Floris van Doorn
7cfac38eda feat(hott): port parts of natural numbers and integers from standard library to HoTT 
This also involves:
- adding definitions about logic and natural numbers existing in the standard library to init
- porting the current algebraic hierarchy
 2015-05-07 16:39:03 -07:00
Floris van Doorn
e9ff925e2f feat(pi): prove that forall x, a = x is a mere proposition 2015-05-07 16:39:03 -07:00
Floris van Doorn
e5241f84ec fix(init.datatypes): make empty live in Type.{0} 2015-05-07 16:39:03 -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
8b4756f9c8 feat(hott): port nat from standard library to HoTT library; make script to port files 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
Floris van Doorn
6dfd7af0ec feat(hott.types): add theorems about booleans 2015-05-07 16:39:03 -07:00
Floris van Doorn
dce672a815 fix(hott.md): mention arity.hlean 2015-05-07 16:39:03 -07:00
Floris van Doorn
ce5f60d009 feat(hott.init.function): add more notions from the standard library 2015-05-07 16:39:03 -07:00
Floris van Doorn
43fb334914 feat(circle): prove loop != base 2015-05-07 16:39:03 -07:00
Floris van Doorn
e8e41ed745 fix(types.md): add all files, add some explanation 2015-05-07 16:39:03 -07:00
Leonardo de Moura
21ee0a5ff9 refactor(hott/algebra/category/constructions/functor): cleanup proof 2015-05-07 15:29:02 -07:00
Leonardo de Moura
b03266be70 feat(library/normalize,frontends/lean): rename '[unfold-m]' hint to '[constructor]', and allow it to be attached to constants 
closes #587
 2015-05-07 12:00:34 -07:00
Leonardo de Moura
741fca1e7b feat(hott/init/path): mark 'idp' and 'idpath' with '[unfold-m]' hint 
closes #496
 2015-05-04 14:29:22 -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
657ad3327f chore(hott): remove unnecessary '[trans]' attributes 2015-05-02 21:35:59 -07:00
Leonardo de Moura
b39fe17dee feat(library/tactic): add 'transitiviy', 'reflexivity' and 'symmetry' tactics 
closes #500
 2015-05-02 15:48:25 -07:00
Leonardo de Moura
cd17618f4a refactor(library): replace 'calc_trans', 'calc_symm', 'calc_refl' and 'calc_subst' commands with attributes '[symm]', '[refl]', '[trans]' and '[subst]' 
These attributes are used by the calc command.
They will also be used by tactics such as 'reflexivity', 'symmetry' and
'transitivity'.

See issue #500
 2015-05-02 15:15:35 -07:00
Leonardo de Moura
415ca2b93f feat(library/tactic): add 'congruence' tactic 
It is the f_equal described at issue #500.
 2015-05-02 12:58:46 -07:00
Leonardo de Moura
458d13025f refactor(library,hott): define 'congr' in the initialization files 2015-05-02 11:29:31 -07:00
Leonardo de Moura
ac8ba6a3cf feat(library/tactic): add 'subst' tactic 
see issue #500
 2015-05-01 19:31:24 -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
63eb155c7e feat(library/tactic): add 'injection' tactic 
see issue #500
 2015-05-01 12:45:21 -07:00
Leonardo de Moura
2d9c950144 feat(library/tactic/constructor_tactic): allow 'constructor' tactic without index 
see issue #500
 2015-04-30 21:15:07 -07:00
Leonardo de Moura
d152f38518 feat(library/tactic): add 'constructor', 'split', 'left', 'right' and 'existsi' tactics 
see issue #500
 2015-04-30 17:52:29 -07:00
Leonardo de Moura
1c6067bac2 feat(library/tactic): add 'exfalso' tactic 
see issue #500
 2015-04-30 15:43:07 -07:00
Leonardo de Moura
9760968b45 refactor(library,hott): use/test new 'contradiction' tactic in the standard and hott libraries 2015-04-30 13:56:12 -07:00
Leonardo de Moura
9c8a63caec feat(library/tactic): add 'contradiction' tactic 
see issue #500

Remark: this tactic also applies no_confusion to take care of a contradiction
 2015-04-30 13:47:40 -07:00
Leonardo de Moura
3233008039 feat(library/tactic): allow user to name generalized term in the 'generalize' tactic 
closes #421
 2015-04-30 11:57:40 -07:00
Leonardo de Moura
3912bc24c8 feat(frontends/lean): nicer syntax for 'intros' 'reverts' and 'clears' 2015-04-30 11:00:39 -07:00
Leonardo de Moura
e384894f7a chore(hott/cubical/square): remove unnecessary annotations added in previous commit 2015-04-29 12:25:31 -07:00
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