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74 commits

Author SHA1 Message Date
Rob Lewis
458725e63f feat(library/algebra): add missing theorems to group and ordered ring 2016-01-04 14:45:39 -05:00
Leonardo de Moura
712e19e22a fix(library/blast/forward/ematch): bug in the ematching procedure 2015-12-31 21:26:44 -08:00
Leonardo de Moura
54f2c0f254 feat(library/blast/forward): inst_simp should use the left-hand-side as a pattern (if none is provided by the user) 
The motivation is to reduce the number of instances generated by ematching.

For example, given

   inv_inv:  forall a, (a⁻¹)⁻¹ = a

the new heuristic uses ((a⁻¹)⁻¹) as the pattern.
This matches the intuition that inv_inv should be used a simplification
rule.

The default pattern inference procedure would use (a⁻¹). This is bad
because it generates an infinite chain of instances whenever there is a
term (a⁻¹) in the proof state.
By using (a⁻¹), we get
   (a⁻¹)⁻¹ = a
Now that we have (a⁻¹)⁻¹, we can match again and generate
   ((a⁻¹)⁻¹)⁻¹ = a⁻¹
and so on
 2015-12-31 20:20:39 -08:00
Leonardo de Moura
b35abcc6a8 refactor(library): rename strategy "msimp" ==> "inst_simp" 
"inst_simp" means "instantiate simplification lemmas"
The idea is to make it clear that this strategy is *not* a simplifier.
 2015-12-31 12:45:48 -08:00
Leonardo de Moura
41a01bb606 feat(library/blast/forward/ematch): add option 'blast.ematch.max_instances' 2015-12-29 20:36:11 -08:00
Leonardo de Moura
0148bb08fd feat(library/blast): add 'ematch_simp' strategy for blast and msimp shortcut for it. 
This strategy is based on ematching and congruence closure, but it uses
the [simp] lemmas instead of [forward] lemmas.
 2015-12-29 20:04:31 -08:00
Leonardo de Moura
3557bd36e7 refactor(library/algebra/group): cleanup proofs using simp and add [simp] attribute 2015-12-29 10:48:47 -08:00
Soonho Kong
f1daf8f24e fix(algebra/group.lean): remove unnecessary use of add.assoc from theorem bit0_add_bit1_helper 2015-12-22 09:12:57 -05:00
Floris van Doorn
da5f10ce63 feat(hott): minor fixes. allow the usage of numerals for trunc_index 2015-12-17 12:46:16 -08:00
Leonardo de Moura
49eae56db4 test(library/theories/group_theory): test auto-include in the group theory library 2015-12-13 13:40:54 -08:00
Leonardo de Moura
ef546c5c5b refactor(library): use anonymous instance implicit arguments 2015-12-13 11:46:48 -08:00
Floris van Doorn
46739c8b70 feat(hott/algebra): port abstract structures 2015-12-09 12:34:06 -08:00
Leonardo de Moura
b94e31a72c refactor(library): remove algebra namespace 2015-12-05 23:50:01 -08:00
Leonardo de Moura
fa938bb94c feat(frontends/lean/decl_cmds): allow modifier to be provided after the 'attribute' keyword, test 'at' keyword 2015-12-05 11:50:08 -08:00
Daniel Selsam
934b502c6f refactor(algebra/numeral): prove lemmas incrementally 2015-12-05 08:56:56 -08:00
Daniel Selsam
a04c28d4c9 refactor(library/algebra): construct simplifier sets incrementally 2015-12-04 18:28:56 -08:00
Leonardo de Moura
564e8f947d refactor(library): cleanup 2015-11-22 14:10:02 -08:00
Leonardo de Moura
9bedbbb739 refactor(library,hott): remove coercions between algebraic structures 
They are classes, and mixing coercion with type class resolution is a
recipe for disaster (aka counterintuitive behavior).
 2015-11-11 11:57:44 -08:00
Leonardo de Moura
6df31d3406 refactor(library/data/nat/basic): mark some theorems as protected to avoid overloading 2015-11-08 14:04:56 -08:00
Leonardo de Moura
8ee214f133 checkpoint: new numeral encoding 2015-11-08 14:04:55 -08:00
Leonardo de Moura
744d1cba3d feat(library,hott,frontends/lean): avoid keywords with hyphen 2015-11-08 14:04:54 -08:00
Leonardo de Moura
a618bd7d6c refactor(library): use type classes for encoding all arithmetic operations 
Before this commit we were using overloading for concrete structures and
type classes for abstract ones.

This is the first of series of commits that implement this modification
 2015-11-08 14:04:54 -08:00
Sebastian Ullrich
d1b5031dbd feat(library): add some spacing hints 2015-09-30 17:36:32 -07:00
Rob Lewis
f5dcb1e0a9 feat(library/algebra): add missing theorems to algebra library 2015-09-16 08:28:11 -07:00
François G. Dorais
155e22c92c feat(library/algebra/group_power): add times (additive variant of power) 2015-08-04 16:23:31 -04:00
François G. Dorais
131b344519 feat(library/algebra/group_power): add times (additive variant of power) 2015-08-04 01:58:57 +02:00
Rob Lewis
e004ed8cba feat(library/algebra): add one directional versions of iff theorems 2015-08-03 17:16:18 -04:00
Rob Lewis
82a9bc757a feat(library/algebra): move theorems from real to algebra 2015-08-03 15:01:32 -04:00
Rob Lewis
1693932c9f feat(library/algebra/group): add theorem to comm group 2015-07-31 08:28:37 -07:00
Haitao Zhang
5ffcd2a2d8 feat(library/algebra/group): add definitions and lemmas of conjugation 2015-07-15 19:36:18 -07:00
Haitao Zhang
f4cbd98692 feat(library/algebra/group): add theorem eq_inv_of_mul_eq_one 2015-07-15 18:43:47 -07:00
Leonardo de Moura
77d5657813 refactor(library/algebra/function): move function.lean to init folder 
Motivation: this file defines basic things such as function composition.
In the HoTT library, it is located in the init folder.
 2015-07-06 07:29:56 -07:00
Leonardo de Moura
cf574d0127 feat(library): assign priorities to notation declarations in the standard library 
Now, even if the user opens the namespaces in the "wrong" order, the
notation + coercions will behave as expected.
 2015-06-30 17:38:13 -07:00
Leonardo de Moura
3215af3926 feat(frontends/lean): add '[trans-instance]' attribute 
see issue #666
 2015-06-27 14:07:29 -07:00
Leonardo de Moura
7ffabeb245 refactor(library/algebra/group): avoid abuse of rewrite tactic 
The two instances are relying on the fact that (a - b) reduces to (a + -b)
 2015-06-22 15:11:14 -07:00
Leonardo de Moura
cfafc90cc0 refactor(hott,library): make sure files compile even without using "projection macros" 2015-06-22 12:22:11 -07:00
Jeremy Avigad
3b010b8c92 feat({library,hott}/algebra/group): add abbreviations e.g. for mul.cancel_left 2015-06-15 22:53:11 +10:00
Rob Lewis
7822ba9dee feat(library/algebra): add lemmas to group and ordered group 2015-06-09 16:14:21 +10:00
Jeremy Avigad
df69bb4cfc feat(library/*): add theorems from Haitao on sets and functions, clean up 2015-06-04 11:55:25 -07:00
Jeremy Avigad
d33c91d7b9 fix({hott,library}/algebra/*): fix names 2015-05-23 14:05:06 +10:00
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
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
Leonardo de Moura
87f6fc6b6a feat(library/algebra/ring): remove sorrys 2015-03-30 11:55:48 -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
Leonardo de Moura
fa201bce9b feat(library/algebra/group): cleanup some proofs 2015-03-05 18:46:07 -08:00
Leonardo de Moura
b254c78c44 refactor(library/algebra): move bundled structures to separate module 
Motivation: performance.
After this commit, the bundled instances do not participate in the
class/instance resolution if we do not import algebra.bundled.
 2015-03-02 18:45:08 -08:00
Jeremy Avigad
7a57908d62 feat/refactor(library/data/int): revise and add theorems 2015-02-25 14:05:07 -08:00
Jeremy Avigad
a607e7dd57 feat(library/algebra/group): add rules for sub equalities 2015-02-25 14:05:06 -08:00
Leonardo de Moura
3197e6d403 feat(frontends/lean/parse_rewrite_tactic): improve rewrite tactic parser 2015-02-23 19:40:03 -08:00