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169 commits

Author SHA1 Message Date
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
065a1f7501 feat(library/tactic): add 'induction' tactic skeleton 2015-05-12 20:21:25 -07:00
Leonardo de Moura
379af8a04e feat(library): avoid 'definition' hack for theorems 2015-05-09 12:15:30 -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
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
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
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
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
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
072bf0b3b4 refactor(library): make sure "choose" compute inside the kernel 2015-04-25 23:10:48 -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
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
Jeremy Avigad
dfaeb475cc feat(library/init/reserved_notation.lean): add equiv relation symbol 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
a24d4e47cd feat(library/init/nat): add missing decidable_ge and decidable_lt 2015-04-14 09:01:15 -07:00
Leonardo de Moura
3edf0dffdf feat(library/data/finset): define subset for finsets 2015-04-11 15:29:12 -07:00
Floris van Doorn
d1b98b6919 fix(reserved_notation): make is_typeof an abbreviation 2015-04-10 06:35:15 -07:00
Jeremy Avigad
1f4ddd7a0f refactor(library/init/funext.lean): break out definition of equivalence, and hide auxiliary theorems 2015-04-08 09:46:34 -07:00
Leonardo de Moura
1d87016f03 refactor(library): move some theorems to init 2015-04-07 07:46:11 -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
Jeremy Avigad
74ff43a543 refactor(library/init/{funext,quot}.lean): adjust comments and headers 2015-04-05 10:11:53 -04:00
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
Leonardo de Moura
44ba0e10c0 feat(library/init/logic): add rewrite rules for decidable 2015-04-02 23:31:40 -07:00
Leonardo de Moura
7b64a47221 refactor(library/init): add auxiliary function mk_equivalence 2015-04-01 17:30:20 -07:00
Leonardo de Moura
4fcb560ea7 feat(library/init/funext): add subsingleton_pi instance using funext 2015-04-01 13:05:05 -07:00
Leonardo de Moura
ced742083a feat(library/init/quot): add helper function quot.rec_on_subsingleton₂ 2015-04-01 13:04:41 -07:00
Leonardo de Moura
ed1acd9fb0 feat(library/init): move propext to init/quot, add Jeremy's funext theorem 2015-04-01 12:36:33 -07:00
Leonardo de Moura
0da4f191fc feat(library/init/quot): add rec_on for subsingleton types 2015-04-01 11:57:39 -07:00
Leonardo de Moura
ce5e83eb3e refactor(library/init): move subsingleton to init folder 2015-04-01 11:57:29 -07:00
Leonardo de Moura
b960e123b1 feat(kernel): add experimental support for quotient types 2015-03-31 22:04:16 -07:00
Leonardo de Moura
a52cb009dc refactor(library): reorganize init folder and add setoid 2015-03-31 19:56:05 -07:00
Leonardo de Moura
ec1a60b02c feat(library/init/logic): add helper function for proving decidable equality 2015-03-30 02:14:26 -07:00
Leonardo de Moura
75621df52b feat(frontends/lean): uniform notation for lists in tactics 
closes #504
 2015-03-27 17:54:48 -07:00
Jeremy Avigad
e019ab5500 fix(library/init/logic.lean): rename inhabited_imp_nonempty 2015-03-25 18:29:06 -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
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
cc2d988aea feat(library/data/num): prove many theorems for pos_num.lt and pos_num.le 2015-03-04 18:30:31 -08:00
Floris van Doorn
5b922aad5c feat(init): add 'do' tactic 2015-03-04 00:17:41 -05:00
Leonardo de Moura
efd096e85c feat(library/init/num): define sub and le for binary numerals 2015-03-03 15:55:16 -08:00
Leonardo de Moura
ca57b43698 feat(library/tactic): add 'change' tactic 2015-03-01 14:15:39 -08:00
Leonardo de Moura
9c0375b6e2 feat(library/init/logic): add transitivity theorems for = + <-> 2015-03-01 10:09:46 -08:00
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
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
Leonardo de Moura
3ede8e9150 refactor(library): use [] binder annotation when declaring instances 2015-02-24 16:12:39 -08:00
Leonardo de Moura
1cd44e894b feat(library/tactic/class_instance_synth): conservative class-instance resolution: expand only definitions marked as reducible 
closes #442
 2015-02-24 16:12:35 -08:00
Leonardo de Moura
a35cce38b3 feat(frontends/lean): new semantics for "protected" declarations 
closes #426
 2015-02-11 14:09:25 -08:00
Leonardo de Moura
b4dd2cc729 refactor(library/tactic/rewrite_tactic): more general rewrite step 
The rule can be an arbitrary expression.
Allow user to provide a pattern that restricts the application of the rule.
 2015-02-04 11:51:39 -08:00
Leonardo de Moura
c845e44777 feat(frontends/lean): parse rewrite tactic 2015-02-04 11:51:39 -08:00
Jeremy Avigad
90da0290f4 fix(library/init/{prod,sigma},library/data/sum): move notation in/out of namespaces 2015-02-01 11:17:45 -08:00
Jeremy Avigad
3e92cd4922 feat(library/data,init/prod,sigma,sum): make more notation available at top level 2015-02-01 11:17:45 -08:00
Jeremy Avigad
928fc3ab81 feat(library/algebra/order,library/data/{nat,int}/order): make gt, ge reducible, add transitivity rules 2015-01-26 20:38:21 -05:00
Jeremy Avigad
ba15da8d83 refactor(library/init/reserved_notation): increase binding strength of ^-1 to max+10 2015-01-26 20:38:21 -05:00
Leonardo de Moura
e2c41fca75 feat(frontends/lean): modify syntax for local notation 
The idea is to make it uniform with the syntax for defining local
attributes.
 2015-01-26 11:51:17 -08:00
Leonardo de Moura
b4d6f6e3ed feat(frontends/lean): 'attribute' command is persistent by default 2015-01-26 11:51:17 -08:00
Leonardo de Moura
4f2e0c6d7f refactor(frontends/lean): add 'attribute' command 
The new command provides a uniform way to set declaration attributes.
It replaces the commands: class, instance, coercion, multiple_instances,
reducible, irreducible
 2015-01-24 20:23:21 -08:00
Leonardo de Moura
2e4a2451e6 refactor(library/reducible): simplify reducible/irreducible semantics 2015-01-08 18:52:18 -08:00
Leonardo de Moura
a23f3e9102 refactor(library/init/nat): use recursive equations to prove nat.has_decidable_eq 2015-01-08 12:38:44 -08:00
Leonardo de Moura
4e49e73585 refactor(library/init/logic): add inhabited related functions, rename inhabited.default to default 2015-01-07 18:45:58 -08:00
Leonardo de Moura
1fab144aa7 refactor(library/init/nat): rename constants 
closes #387
 2015-01-07 18:26:51 -08:00
Jeremy Avigad
50f03c5a09 refactor(library/data/nat/order): make nat order an instance of linear_ordered_semigroup, rename various theorems 2015-01-07 18:18:28 -08:00
Leonardo de Moura
d8f3bcec67 feat(library/init/logic): add 'arbitrary' 
It is identical to default, but it is opaque.
That is, when we use 'arbitrary A', we cannot rely on the particular
value selected.
 2015-01-05 13:27:09 -08:00
Leonardo de Moura
23fa16a23d refactor(library/init): move num.succ to init.datatypes 2015-01-05 10:29:06 -08:00
Leonardo de Moura
4781fc8365 fix(library/init/logic): eq.symm should not use eq.subst 
Reason: eq.symm is used by definitional package, and eq.subst is opaque.
Thus, computation will get stuck if it depends on eq.subst.
 2015-01-02 22:20:08 -08:00
Leonardo de Moura
1e2fc54f2f refactor(library/init/sigma): rename sigma.dpair->sigma.mk, sigma.dpr1->sigma.pr1, sigma.dpr2->sigma.pr2 2014-12-19 18:23:08 -08:00
Leonardo de Moura
9eea32b076 refactor(library/init/datatypes): change implicit arguments of sum.inl and sum.inr 2014-12-19 18:07:13 -08:00
Leonardo de Moura
8ad9b84c85 feat(init): reserve notation for "not in" 2014-12-15 19:22:17 -08:00
Leonardo de Moura
abe129aa4f refactor(library): rename theorems "iff.flip_sign -> not_iff_not_of_iff" and "decidable_iff_equiv -> decidable_of_decidable_of_iff" 2014-12-15 19:17:51 -08:00
Leonardo de Moura
5cf8064269 refactor(library): rename exists_elim and exists_intro to exists.elim 
and exists.intro
 2014-12-15 19:07:38 -08:00