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1066 commits

Author SHA1 Message Date
Jeremy Avigad
566acf4b31 feat(library/data/finset/card.lean): add card_Union_of_disjoint and other theorems 2015-05-17 19:06:10 +10:00
Jeremy Avigad
6549940c63 feat(library/data/finset/bigops.lean): add Union for finsets 2015-05-17 17:50:32 +10:00
Jeremy Avigad
783dd61083 feat(library/data/finset/basic.lean): add useful calculation rules for quantifiers 2015-05-17 17:49:02 +10:00
Jeremy Avigad
9720d84095 refactor(library/algebra/group_bigops.lean,library/data/nat/bigops.lean): add ext principle, clean up file 2015-05-17 16:00:38 +10:00
Jeremy Avigad
4764f6e8ec refactor(library/algebra/group_bigops.lean,library/data/nat/bigops.lean): simplify naming scheme for bigops 2015-05-17 15:24:37 +10:00
Jeremy Avigad
6dc1cfca3c feat(library/init/nat.lean): add notation <= and >= for nat 2015-05-17 12:57:48 +10:00
Jeremy Avigad
7bde8193fe feat(library/algebra/order): add alternate names for le.antisymm etc. 2015-05-17 12:54:36 +10:00
Jeremy Avigad
981bf93ce0 feat(library/data/default.lean): add rat and vector 2015-05-17 12:19:47 +10:00
Jeremy Avigad
ff701a9812 feat(library/data/nat/bigops.lean): add finite products and sums for nat 2015-05-16 22:26:59 +10:00
Jeremy Avigad
eae047bd31 refactor,feat(library/{data,algebra}): move bigops to algebra, define sums 2015-05-16 18:42:13 +10:00
Jeremy Avigad
87e4f7a951 feat(library/algebra/group.lean): add coercions from additive (comm) monoid to (comm) monoid 2015-05-16 18:27:49 +10:00
Jeremy Avigad
63bb4b558a fix(library/data/set/{classical_inverse.lean,map.lean}): protect definitions in map, to avoid ambiguity 2015-05-16 18:24:19 +10:00
Jeremy Avigad
26ad6dde69 fix(library/data/fintype.lean): reduce imports, to avoid cyclic dependencies 2015-05-16 17:53:35 +10:00
Jeremy Avigad
daf53e4de2 fix(library/algebra/order.lean): rename decidable_eq to had_decidable_eq to avoid conflict 2015-05-16 17:53:35 +10:00
Jeremy Avigad
81d0d4aa53 fix(library/data/{set,finset}/basic.lean: delete \{{ \}}} notation (conflicts with records) 2015-05-16 17:53:35 +10:00
Sebastian Ullrich
77c20e99ff feat(library/tactic/inversion_tactic): consistent orientation of generated equalities 
Generated equalities in proof irrelevant environments were inverted
compared with the documentation and the proof relevant case, which
resulted in newly generated local vars replacing equivalent old ones
instead of the other way around.
 2015-05-14 23:32:54 +02:00
Jeremy Avigad
8de6a4bb4c feat(library/algebra/group_pow.lean,library/data/nat/power.lean): add generic power operation on monoids and groups 2015-05-13 22:19:02 -07:00
Leonardo de Moura
51a30892a1 chore(examples/ex): move example to library 2015-05-13 17:07:10 -07:00
Leonardo de Moura
065a1f7501 feat(library/tactic): add 'induction' tactic skeleton 2015-05-12 20:21:25 -07:00
Jeremy Avigad
05e28aaf19 feat(library/data/nat/{basic.lean,order.lean}): use migrate 2015-05-12 06:20:51 -07:00
Jeremy Avigad
42616f766f refactor(library/data/{nat,int,rat}/{basic.lean,order.lean}: make algebra instance declarations local 2015-05-12 06:20:47 -07:00
Leonardo de Moura
f25c301c98 fix(library/data/rat): migrate for rat 2015-05-12 04:46:34 -07:00
Leonardo de Moura
d2adf922b7 refactor(library/data/int): use "migrate" command 2015-05-12 04:24:13 -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
f59a81d744 refactor(library/data): use new 'obtain' expression 2015-05-11 09:14:48 -07:00
Jeremy Avigad
a009cf24e3 feat(library/data/finset/{basic,card,comb}.lean: add theorems, including card of an injective image 2015-05-11 09:03:57 -07:00
Jeremy Avigad
3e07716b5d feat(library/data/finset/to_set.lean): add finset/set translation theorems 2015-05-11 09:03:56 -07:00
Jeremy Avigad
efbca4c78e feat(library/data/finset/finset.md): add markdown file 2015-05-11 09:03:56 -07:00
Jeremy Avigad
9d73aa657b feat(library/data/{finset,list}/comb.lean): add 'any' for finsets 2015-05-11 09:03:56 -07:00
Leonardo de Moura
379af8a04e feat(library): avoid 'definition' hack for theorems 2015-05-09 12:15:30 -07:00
Leonardo de Moura
bd28396be0 feat(kernel): transparent theorems 
closes #576
 2015-05-09 11:42:29 -07:00
Leonardo de Moura
8086ad7461 feat(library/init): define quot.hrec_on and quot.hrec_on₂ based on heterogeneous equality 
They are easier to use than the version with nested eq.rec's
 2015-05-09 09:49:41 -07:00
Leonardo de Moura
4f0f739ea6 feat(library): remove occurrences of 'opaque' keyword 2015-05-08 16:40:03 -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
57ea660963 refactor(*): start process for eliminating of opaque definitions from the kernel 
see issue #576
 2015-05-08 16:06:04 -07:00
Leonardo de Moura
3aac370629 fix(library/data/finset/basic): type error on the finset.induction proof 2015-05-08 11:08:24 -07:00
Jeremy Avigad
624b664950 refactor(library/data/list/basic.lean): make minor renaming 2015-05-08 20:25:28 +10:00
Jeremy Avigad
75e50fd371 feat(library/data): update defaults and markdown files 2015-05-08 20:23:15 +10:00
Jeremy Avigad
b56f7a06d5 refactor(library/data/finset/bigop.lean): use inter eq empty rather than disjoint 2015-05-08 20:06:21 +10:00
Jeremy Avigad
6fce01385c feat(library/data/{finset,list}/bigop.lean: generalize bigops from group to monoid 2015-05-08 19:51:37 +10:00
Jeremy Avigad
42f2fc973a refactor(library/data/{finset,list,fintype}: rename cross_product to product 2015-05-08 19:51:37 +10:00
Jeremy Avigad
68f7afa053 feat(library/data/finset/card.lean): begin theory of cardinality 2015-05-08 19:51:37 +10:00
Jeremy Avigad
9e04d09381 feat(library/data/finset/comb.lean): add filter, diff, theorems 2015-05-08 19:51:37 +10:00
Jeremy Avigad
4db4c86d37 feat(library/data/finset/basic.lean): add lots of theorems, do minor renaming 2015-05-08 19:51:37 +10:00
Jeremy Avigad
a54a98c1ec feat(library/data/set): add distributivity, diff, uniformize with finset 2015-05-08 19:51:37 +10:00
Jeremy Avigad
9e26dddaf3 feat(library/data/list/perm): add perm_filter 2015-05-08 19:51:37 +10:00
Jeremy Avigad
86a039b6d5 feat(library/data/list/set.lean): add two theorems 2015-05-08 19:51:37 +10:00
Jeremy Avigad
e4c75ae8ae feat(library/logic/connective.lean): add distributivity laws 2015-05-08 19:51:37 +10:00
Jeremy Avigad
ba78cc42f9 fix(library/data/set/basic.lean, function.lean): fix typos 2015-05-08 19:51:37 +10:00
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
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
Leonardo de Moura
e2c1dc92a8 chore(library/data/fintype): add workaround until problem in the elaborator is fixed 2015-05-07 16:32:26 -07:00
Leonardo de Moura
aff9257c72 feat(frontends/lean): allow → to be used in calc proofs 
see issue #586
 2015-05-07 12:28:47 -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
5798ac43de fix(frontends/lean/structure_cmd): 'structure' command must set unfold-c attribute for auxiliary recursors 
fixes #582
 2015-05-07 09:09:07 -07:00
Leonardo de Moura
64cc710ff7 refactor(ordered_group): replace 'match' with 'obtain' 2015-05-06 10:34:43 -07:00
Leonardo de Moura
84deddcca9 feat(library/tactic/rewrite_tactic): apply 'reflexivity' tactic after 'rewrite' instead of hard coded solution 2015-05-05 20:23:49 -07:00
Leonardo de Moura
7aa0e466a5 test(library): test new 'obtain' expression in the standard library 2015-05-05 18:30:16 -07:00
Leonardo de Moura
616f49c2e4 feat(frontends/lean): improved 'obtains' expression 2015-05-05 18:30:16 -07:00
Jeremy Avigad
f7a610faa3 feat(library/data/set/basic,function): mark set reducible, and add theorem from Haitao Zhang 2015-05-05 08:55:58 -07:00
Leonardo de Moura
11f74363e2 refactor(library): rename 'intersection' to 'inter' in list and finset, add finset abbreviation at top level 2015-05-05 08:53:31 -07:00
Leonardo de Moura
a46abbb9ce refactor(library/data): test new tactics in the standard library 2015-05-03 21:40:33 -07:00
Leonardo de Moura
3cd8f38b8d feat(library/data/string): prove that string and char have decidable equality 2015-05-03 21:08:09 -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
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
e8affed020 refactor(library): test new tactics in the standard library 2015-05-01 18:18:29 -07:00
Leonardo de Moura
de369a0a0a feat(library/tactic/injection_tactic): improve 'injection' tactic 
see issue #500
 2015-05-01 15:49:56 -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
e948dd239c feat(library/data/list/perm): use new 'injection' tactic 2015-05-01 13:08:36 -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
1e18a76bdb chore(library/init/nat): replace 'no_confusion' with 'by contradiction' 2015-04-30 21:26:52 -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
59b11c815c refactor(library/data/list/perm): remove unnessary lambda abstractions 
The contradiction tactic takes care of it.
 2015-04-30 14:02:19 -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
f60dc8ae8f refactor(library/init/nat): cleanup 2015-04-30 10:10:13 -07:00
Leonardo de Moura
018f768555 chore(library): remove some unnecessary parentheses 2015-04-29 14:39:59 -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
17c07cdb02 feat(library/data/rat/order): define abs and sign for rat before migrate 2015-04-27 12:59:02 -07:00
Jeremy Avigad
7a1064b7e8 refactor(library/algebra/order.lean): rename a field in an order structure 2015-04-27 12:03:41 -07:00
Jeremy Avigad
d8e40d90d6 feat(library/data/rat/order.lean): make rat a linear ordered field 2015-04-27 12:03:41 -07:00
Leonardo de Moura
76c773ad3d feat(library/data/examples/depchoice): add dependent choice example 2015-04-26 12:56:23 -07:00
Leonardo de Moura
072bf0b3b4 refactor(library): make sure "choose" compute inside the kernel 2015-04-25 23:10:48 -07:00
Leonardo de Moura
d455bb4c5b feat(library/data/fintype): add decidable_exists_finite 2015-04-25 21:38:03 -07:00
Leonardo de Moura
6bb6644c25 feat(library/data/squash): define squash type using quotients 2015-04-24 18:11:25 -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
1149ead14c chore(library/logic/examples/colog88): remove unnecessary annotation 2015-04-24 12:45:06 -07:00
Leonardo de Moura
a5306e70eb feat(library/logic/examples/negative): add example showing that allowing negative inductive datatypes would lead to inconsistency 2015-04-24 09:33:09 -07:00
Leonardo de Moura
15c331591e feat(library/logic/examples/colog88): add example from COLOG-88 paper 2015-04-24 09:33:09 -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
Leonardo de Moura
670eac9d50 refactor(library): avoid 'context' command in the standard library 2015-04-21 19:13:19 -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
Leonardo de Moura
306087b5d3 refactor(library/data): rename 'countable' to 'encodable', define countable in the usual way, and prove all 'encodable' type is 'countable' 2015-04-19 14:20:47 -07:00
Jeremy Avigad
f4398115b4 feat(library/data/rat/basic.lean): begin theory of rationals, show rat is a field 2015-04-18 11:39:52 -07:00
Jeremy Avigad
6359132b67 refactor(library/algebra/field.lean): rename has_decidable_eq and declare instance 2015-04-18 11:39:52 -07:00
Jeremy Avigad
dfaeb475cc feat(library/init/reserved_notation.lean): add equiv relation symbol 2015-04-18 11:39:52 -07:00
Jeremy Avigad
5eb7fef564 feat(library/algebra/order.lean, data/int/{basic,order}.lean): add theorem, correct gt_trans 2015-04-18 11:39:52 -07:00
Jeremy Avigad
53919699bc refactor(library/logic/axioms/prop_decidable.lean): simplify proof of prop_decidable (using arbitrary instead of epsilon) 2015-04-18 11:39:52 -07:00
Leonardo de Moura
cc63a40a01 feat(library): enforce name conventions on old nat declarations 2015-04-18 10:50:30 -07:00
Leonardo de Moura
10954a073c feat(library/logic/examples): add new example from Martín Escardó paper 2015-04-17 15:22:52 -07:00
Leonardo de Moura
9cb759e0a9 feat(library/logic/axioms/examples/leftinv_of_inj): add classical example 2015-04-16 22:39:51 -07:00
Leonardo de Moura
3b84a63874 fix(library/algebra/function): terminology 2015-04-16 20:52:18 -07:00
Leonardo de Moura
2e675c1bdd feat(library/data/examples/notcountable): add example showing that nat -> nat is not countable 2015-04-16 14:54:34 -07:00
Leonardo de Moura
df8ebeeefc feat(library/logic/axioms/examples/diaconescu): remove redundant hypothesis 2015-04-16 14:04:09 -07:00
Leonardo de Moura
7529ee0a5c feat(library/data/countable): prove axiom of choice and skolem theorem for countable types and decidable relations 2015-04-16 12:36:27 -07:00
Leonardo de Moura
0dd7667836 feat(library/data/countable): choice function for countable types 2015-04-16 12:29:06 -07:00
Leonardo de Moura
7a4f43d6ab feat(library/data/nat/choose): choice function for natural numbers 2015-04-16 11:33:26 -07:00
Leonardo de Moura
b14d3dbeba chore(library/data/countable): add copyright notice 2015-04-16 09:24:53 -07:00
Leonardo de Moura
036900280d feat(library/data/countable): show that a type is countable by providing an injection to a type already known to be countable 2015-04-15 10:30:24 -07:00
Leonardo de Moura
039f1de524 fix(library/data/countable): typos 2015-04-14 21:26:56 -07:00
Leonardo de Moura
9534cfe92f feat(library/data/countable): prove that (list A) is countable if A is countable 2015-04-14 21:17:18 -07:00
Leonardo de Moura
a7db8a2bac theorem(library/data/countable): prove that the product of two countable types is countable 2015-04-14 20:39:58 -07:00
Leonardo de Moura
38b880b939 feat(library/data/nat/pairing): add unpair_mkpair theorem 2015-04-14 20:28:20 -07:00
Leonardo de Moura
f7a43c7997 feat(library/data/nat/sqrt): generalize sqrt_eq theorem 2015-04-14 20:10:18 -07:00
Leonardo de Moura
faca0acd26 feat(library/data/nat/sqrt): add sqrt_eq theorem 2015-04-14 15:38:54 -07:00
Leonardo de Moura
11dbcda9d2 feat(library/data/nat/pairing): add "elegant" pairing/unpairing function 2015-04-14 09:01:15 -07:00
Leonardo de Moura
2eb7538c96 fix(library/data/nat/sqrt): adjust to reflect recent changes 2015-04-14 09:01:15 -07:00
Leonardo de Moura
4180b80df6 feat(library/data/nat/power): define power and add basic theorems 2015-04-14 09:01:15 -07:00
Leonardo de Moura
ff72a520ff feat(library/data/nat/div): add mul_cancel theorems 2015-04-14 09:01:15 -07:00
Leonardo de Moura
c73c1dbb63 feat(library/data/nat/sub): add two extra theorems 2015-04-14 09:01:15 -07:00
Leonardo de Moura
11c9bb4626 feat(library/data/nat): naive square root function 2015-04-14 09:01:15 -07:00
Leonardo de Moura
2453a6ab45 feat(library/data/countable): define countable type class 2015-04-14 09:01:15 -07:00
Leonardo de Moura
a24d4e47cd feat(library/init/nat): add missing decidable_ge and decidable_lt 2015-04-14 09:01:15 -07:00
Leonardo de Moura
82eada7d56 feat(library/data/list/basic): add find nth theorem 2015-04-14 09:01:15 -07:00
Leonardo de Moura
07e195e9f1 feat(library/data/fintype): add decidable_finite_pred instance 2015-04-12 20:07:04 -07:00
Leonardo de Moura
00d68cadc8 refactor(library/data/fintype): cleanup and mark location that exposes bug in the 'cases' tactic 2015-04-12 17:52:41 -07:00
Leonardo de Moura
f523d3a995 feat(library/data): add structure for converting a list of elements into a type, and then show the resultant type is a finite type 2015-04-12 17:33:58 -07:00
Leonardo de Moura
d9f8b0f3d7 feat(library/data/finset/comb): add cross_product to finset 2015-04-11 19:46:04 -07:00
Leonardo de Moura
4c827293a8 feat(library/data/list/perm): add perm_cross_product theorem 2015-04-11 19:13:34 -07:00
Leonardo de Moura
41ddc97e0d feat(library/data/list): define filter function for lists 2015-04-11 18:22:22 -07:00
Leonardo de Moura
c437fbe0bc feat(library/data/fintype): prove that A->B has decidable equality when A is a finite type and B has decidable equality 2015-04-11 16:45:27 -07:00
Leonardo de Moura
3df7fe120c feat(library/algebra/function): define curry and uncurry functions 2015-04-11 16:45:07 -07:00
Leonardo de Moura
3edf0dffdf feat(library/data/finset): define subset for finsets 2015-04-11 15:29:12 -07:00
Leonardo de Moura
dfef4c5daf feat(library/data): define fintype type class 2015-04-11 14:55:41 -07:00
Leonardo de Moura
06d4ae971d feat(library/data/list): add nodup_cross_product theorem 2015-04-11 14:31:01 -07:00
Leonardo de Moura
54a2d9750e refactor(library/data): simplify definition of disjoint 2015-04-11 14:04:09 -07:00