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1033 commits

Author SHA1 Message Date
Leonardo de Moura
afc75f141c refactor(library/data/list/perm): prove auxiliary theorems using 'match-with' 2015-04-08 09:43:17 -07:00
Leonardo de Moura
56d20852aa refactor(library/data/list/perm): remove dead code 2015-04-08 09:32:28 -07:00
Leonardo de Moura
ef1b057b63 refactor(library/data/list/perm): cleanup theorem 2015-04-08 09:29:40 -07:00
Leonardo de Moura
e0e65705db feat(library/data/list/perm): add perm inversion theorems 2015-04-07 18:54:02 -07:00
Leonardo de Moura
c6a35e718d refactor(library/data/list/perm): use by_cases instead of dependent-if 2015-04-07 09:26:24 -07:00
Leonardo de Moura
9306830d8c feat(library/data/list): perm is decidable 2015-04-07 09:12:10 -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
Leonardo de Moura
3b959c9e6c refactor(library/data): move perm to list folder 2015-04-05 12:01:32 -07:00
Jeremy Avigad
c563548980 feat(library/data/set/basic.lean): add definitions and simplify proofs 2015-04-05 12:36:54 -04:00
Jeremy Avigad
e76e445ece feat(library/logic/connectives.lean): add calculation rules for true and false, and move exists unique to quantifiers 2015-04-05 12:15:21 -04:00
Jeremy Avigad
c6c50a61b3 refactor(library/data/set/basic.lean): take advantage of extensionality in sets 2015-04-05 10:12:27 -04:00
Jeremy Avigad
74ff43a543 refactor(library/init/{funext,quot}.lean): adjust comments and headers 2015-04-05 10:11:53 -04:00
Jeremy Avigad
6596217a84 refactor(library/data/set): expand set.lean to set directory 2015-04-05 09:27:15 -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
f1b7021ed0 feat(library/data/list/basic): add more theorems for disjoint predicate 2015-04-03 22:55:16 -07:00
Leonardo de Moura
23a1f5fa4b feat(library/data/list/basic): define nodup and disjoint 2015-04-03 15:44:07 -07:00
Leonardo de Moura
3b0f666646 feat(library/algebra/function): define injective 2015-04-03 15:43:44 -07:00
Leonardo de Moura
01f5dd9fa8 feat(library/data/list): add "erase" function lemmas 2015-04-03 13:18:48 -07:00
Leonardo de Moura
fc0ed5e46c feat(library/data/list/basic): define erase and prove basic theorems 2015-04-02 23:58:47 -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
9f3ba66295 feat(library/data/perm): add more theorems 2015-04-02 20:00:46 -07:00
Leonardo de Moura
e47c8c2d9e feat(library/data/list/basic): add quasiequality predicate l₁≈a|l₂, l₁ is equal to l₂ with 'a' inserted somewhere 2015-04-02 20:00:46 -07:00
Leonardo de Moura
5a394ac7ea feat(library/data/perm): add more theorems 2015-04-02 09:21:20 -07:00
Leonardo de Moura
92d6e93971 feat(library/data/perm): cleanup and add calculational proof support to perm 2015-04-02 08:50:05 -07:00
Leonardo de Moura
54136c1ec0 feat(library/data/perm): add list permutation module 2015-04-01 23:00:02 -07:00
Leonardo de Moura
dbe54c4fb5 feat(library/data): define unordered pairs using quotients 2015-04-01 17:30:49 -07:00
Leonardo de Moura
3951b50282 feat(library/data/prod): define swap 2015-04-01 17:30:37 -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
6e6cc749a8 feat(library/logic/axioms): break prop_complete into propext and em 
The user may want to use propext without assuming em.
 2015-03-31 18:51:43 -07:00
Leonardo de Moura
e35de54cee feat(library/data/list/basic): add aux theorems 2015-03-31 18:38:05 -07:00
Leonardo de Moura
4c0ce9a619 feat(library/data/list/basic): missing theorems 2015-03-30 19:11:45 -07:00
Leonardo de Moura
87f6fc6b6a feat(library/algebra/ring): remove sorrys 2015-03-30 11:55:48 -07:00
Leonardo de Moura
56af7ba535 feat(library/algebra/ordered_ring): remove sorry 2015-03-30 11:01:26 -07:00
Leonardo de Moura
3d4a02089a feat(library/logic/examples/propositional): add different encoding 2015-03-30 07:13:19 -07:00
Leonardo de Moura
9d34431bb6 feat(library/logic/examples/propositional/soundness): cleanup precedence levels 2015-03-30 05:42:47 -07:00
Leonardo de Moura
5ef88bfbc8 feat(library/logic/examples/propositional): add example based on Floris Coq files formalizing propositional Calculus 2015-03-30 05:12:29 -07:00
Leonardo de Moura
299cbe4b25 feat(library/data/bool): add auxiliary theorems for bool 2015-03-30 04:55:28 -07:00
Leonardo de Moura
42fe87d7cc feat(library/data/list/basic): add sublist predicate 2015-03-30 03:20:42 -07:00
Leonardo de Moura
66bb22f268 feat(library/data/list/basic): cleanup 2015-03-30 02:14:33 -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
5b9d52c0dd refactor(library/data/int/order): cleanup 2015-03-28 12:58:40 -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
Rob Lewis
abcc56a2a7 feat(library/algebra):refactor field and ordered_field more appropriately 2015-03-27 11:54:11 -07:00
Rob Lewis
b79f600fbc style(library/algebra/ordered_field):fix indentation, shorten calc statements 2015-03-27 11:52:30 -07:00
Rob Lewis
94b9aaea45 feat(library/algebra/ordered_field): prove more theorems 2015-03-27 11:52:30 -07:00
Rob Lewis
a1028922bd feat(library/algebra/ordered_field): complete proofs of many theorems. Define discrete linear ordered field 2015-03-27 11:52:30 -07:00
Rob Lewis
4099de7754 feat(library/algebra/field): redefine field so that 1/0=0. Many theorems lose hypotheses in discrete setting. 2015-03-27 11:52:29 -07:00
Rob Lewis
365f1ebcb6 feat(library/algebra/ordered_field): prove more theorems for ordered field 2015-03-27 11:45:57 -07:00
Rob Lewis
11f82eacfb feat(library/algebra/ordered_field.lean): add ordered fields 2015-03-27 11:45:57 -07:00
Jeremy Avigad
e019ab5500 fix(library/init/logic.lean): rename inhabited_imp_nonempty 2015-03-25 18:29:06 -07:00
Jeremy Avigad
8e007b3441 feat(library/logic/axioms/hilbert.lean): add 'some' operator 2015-03-25 18:29:06 -07:00
Jeremy Avigad
765f6f21f8 fix(library/algebra/ring.lean): allow degenerate semirings and rings, but not degenerate ordered_semirings and ordered_rings. Closes #478. 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
9b577a7b3e feat(frontends/lean): add 'migrate' command 2015-03-14 21:48:00 -07:00
Leonardo de Moura
ba913876e0 feat(library/data/list/basic): enforce name conventions, add foldl_eq_foldr theorem 2015-03-14 13:06:09 -07:00
Leonardo de Moura
bed0d6df6b fix(frontends/lean/elaborator): inaccessible over coercion 2015-03-13 23:04:45 -07:00
Leonardo de Moura
27e58dc534 refactor(library/data): cleanup vector and list modules 2015-03-13 22:25:21 -07:00
Jeremy Avigad
ec05e83a2a feat(library/data/int/div.lean): add theorems about div 2015-03-12 20:54:49 -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
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
167675a397 feat(library/data/vector): add nth and decidable_eq 2015-03-09 08:41:36 -07:00
Leonardo de Moura
a628836f28 feat(library/data/vector): add theorems 2015-03-08 22:51:11 -07:00
Leonardo de Moura
f6cd604a44 chore(library/data/bool): enforce naming conventions 2015-03-06 19:20:48 -08:00
Leonardo de Moura
4fdac068b0 chore(library/data/vector): cleanup vector proofs 2015-03-06 17:37:03 -08:00
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
78d8e79000 fix(library/data/num): naming convention 2015-03-05 23:48:08 -08:00
Leonardo de Moura
fa201bce9b feat(library/algebra/group): cleanup some proofs 2015-03-05 18:46:07 -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
57ec52b6f1 refactor(library/data/fin): cleanup pattern matching equations 2015-03-05 14:42:42 -08:00
Leonardo de Moura
e4060a5614 feat(frontends/lean): do not force user to type the function name in the left-hand-side of recursive equations 2015-03-05 12:08:36 -08:00
Leonardo de Moura
53df3d86ee feat(library/data/list/basic): use 'show' instead of 'change' tactic 2015-03-04 20:40:06 -08:00
Leonardo de Moura
b8afba47ad feat(library/data/list/basic): add some map, foldl, foldl, zip and unzip 2015-03-04 20:30:19 -08:00
Leonardo de Moura
c78734874d feat(library/data/list/basic): list A has decidable equality if A has 2015-03-04 18:48:13 -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
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
Leonardo de Moura
f60fc5183a feat(library/data/bool): add auxiliary theorems 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
6ad469e717 fix(library/algebra/order): duplicate argument 2015-03-03 17:04:26 -08:00
Leonardo de Moura
e2bef88a33 fix(library/algebra/order): duplicate arguments 
There is a 'include s' in the section
 2015-03-03 16:52:12 -08:00
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
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
Leonardo de Moura
02d3f7c37c refactor(library/data/list): use 'change' tactic 2015-03-01 14:27:22 -08:00
Leonardo de Moura
df13588b93 chore(library/data): remove unnecessary parentheses 2015-03-01 14:18:36 -08:00
Leonardo de Moura
ca57b43698 feat(library/tactic): add 'change' tactic 2015-03-01 14:15:39 -08:00
Leonardo de Moura
a1066ebdf4 feat(library/algebra/ordered_group): improve performance using rewrite tactic 2015-03-01 11:38:27 -08:00
Leonardo de Moura
18ab9ce4e1 feat(library/algebra/ordered_ring): improve performance using rewrite tactic 2015-03-01 10:10:44 -08:00
Leonardo de Moura
9c0375b6e2 feat(library/init/logic): add transitivity theorems for = + <-> 2015-03-01 10:09:46 -08:00
Leonardo de Moura
e8ef1f97b6 feat(library/data/set): use Prop instead of bool when defining set 2015-03-01 08:23:39 -08:00
Leonardo de Moura
25df44ea43 refactor(library/algebra/category/morphism): restore previous (and more readable) proofs 2015-03-01 06:54:52 -08:00
Rob Lewis
10f1232296 feat(library/algebra/field): fix broken theorems 2015-02-28 08:49:28 -08:00
Rob Lewis
8ef2849b67 feat(library/algebra/fields): prove more theorems about division rings 2015-02-28 08:49:28 -08:00
Jeremy Avigad
a8cf58d97c feat(library/algebra/field): define discrete field 2015-02-28 08:49:28 -08:00
Rob Lewis
eef2e99a1c feat(library/algebra/field): add theorems about division rings 2015-02-28 08:49:05 -08:00
Rob Lewis
b8f0341119 feat(library/algebra): add field.lean 2015-02-28 08:48:48 -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
Jeremy Avigad
e555531eb6 feat(library/data/int/div): start on div for integers 2015-02-25 14:05:07 -08:00
Jeremy Avigad
7a57908d62 feat/refactor(library/data/int): revise and add theorems 2015-02-25 14:05:07 -08:00
Jeremy Avigad
cfdaffb6f5 feat/refactor(library/data/nat): do some housecleaning, add facts to div 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
577a6da119 refactor(library/algebra/category/morphism): reduce compilation time using rewrite tactic 2015-02-25 14:04:17 -08:00
Leonardo de Moura
4f79d12da7 refactor(library/algebra/category/morphism): improve performance using rewrite tactic 2015-02-24 18:28:49 -08:00
Leonardo de Moura
909ebfc5f1 feat(frontends/lean/elaborator): try coercions after each overload 
We try only the easy cases since the more general case is too expensive.

closes #444
 2015-02-24 17:41:20 -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
3197e6d403 feat(frontends/lean/parse_rewrite_tactic): improve rewrite tactic parser 2015-02-23 19:40:03 -08:00
Leonardo de Moura
74b8499fa9 refactor(library/data/nat/div): simplify proof of dvd_of_dvd_add_left 2015-02-17 18:55:44 -08:00
Leonardo de Moura
421a30d75c feat(library): export [reducible] annotations from function namespace to top-level 
see issue #433
 2015-02-16 18:52:41 -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
c7ee831c69 refactor(library/algebra/ordered_group): use rewrite tactic at ordered_group 2015-02-08 17:35:28 -08:00
Leonardo de Moura
f9ff4ee6bd refactor(library/algebra/ring): use rewrite tactic at ring module 2015-02-08 17:35:01 -08:00
Leonardo de Moura
d143b525f7 feat(library/algebra/ordered_group): reduce compilation time 2015-02-06 18:34:41 -08:00
Leonardo de Moura
96c161a659 feat(library/algebra/ring): simplify ring theorems using rewrite tactic 2015-02-05 18:48:02 -08:00
Leonardo de Moura
0ae6e2b3e4 feat(library/algebra/group): use rewrite tactic in the algebraic hierarchy 2015-02-05 18:03:02 -08:00
Leonardo de Moura
2ffdbba8b0 feat(library): replace same 'calc' proofs with 'rewrite' 2015-02-05 10:39:25 -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
77e8439012 feat(library/data/nat/div): add theorems for coprime, etc. 2015-02-03 13:50:59 -08:00
Leonardo de Moura
7e5fb3e493 fix(library/algebra/function): remove notation that conflicts with top-level notation for dependent pairs 2015-02-01 11:35:01 -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
d48a332876 refactor(library/data/prod): move specialized theorems to quotient 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
5ef510f290 feat(library/logic/axioms/prop_complete): add by_cases, by_contradiction 2015-02-01 11:17:45 -08:00
Jeremy Avigad
003a2c1e2c refactor(library/logic/axioms): rename files, import logic.axioms.classical now imports all classical axioms 2015-02-01 11:17:45 -08:00
Jeremy Avigad
e5c25ff7a3 refactor(library/data/nat,int): use nicer definitions of structure instances 2015-02-01 11:17:45 -08:00
Jeremy Avigad
95d79e7bda refactor(library/data/nat): merge comm_semiring, make minor fixes 2015-02-01 11:17:44 -08:00
Jeremy Avigad
8d5a7a96b6 feat(library/data/nat/div): revise theorems, add lcm 2015-01-31 21:52:35 -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
0c04c7b0d2 fix(library/data/nat,int): make structure instances reducible 2015-01-26 20:38:21 -05:00
Jeremy Avigad
85ef7c5151 refactor(library/algebra/group): rename neg_add_distrib to neg_add, etc. 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
ae7b5a9bc9 fix(library/algebra): add missing [reducible] 
It addresses issues raised at #403
 2015-01-21 15:53:56 -08:00
Jeremy Avigad
44642a4285 feat(library/algebra/ordered_ring,library/data/int/): add sign and theorems about abs, make int an instance, port theorems 2015-01-21 15:46:17 -08:00
Jeremy Avigad
58057c5d99 feat(library/algebra/ordered_group): add abs 2015-01-21 15:46:17 -08:00
Leonardo de Moura
abc64fbab8 refactor(library/algebra/group): remove unnecessary symm 2015-01-20 16:20:47 -08:00
Leonardo de Moura
8323d580b1 refactor(library/algebra/order): factor out proofs 2015-01-20 15:28:46 -08:00
Leonardo de Moura
21a3d918ff refactor(library/algebra/ordered_ring): use cleaner hack for improving performance 2015-01-19 17:41:11 -08:00
Leonardo de Moura
2e13e81fe0 refactor(library/data/nat/order): use record/structure instance expression 
Motivation: do not rely on a specific argument ordering
 2015-01-19 17:39:59 -08:00
Leonardo de Moura
2717adde94 feat(library/unifier): add option 'unifier.conservative', use option by default in the calc_assistant 2015-01-19 16:23:29 -08:00
Leonardo de Moura
7149c49553 refactor(library/algebra): factor out proofs from coercions 
Coercions/instances should be simple definitions
 2015-01-19 13:00:24 -08:00
Leonardo de Moura
edcc92d9c7 feat(frontends/lean): remove 'using' from structure instance command 2015-01-17 09:38:10 -08:00
Leonardo de Moura
50fe085374 refactor(library/algebra/ordered_ring): using new structure instance syntax sugar to define instances 2015-01-16 18:01:08 -08:00
Leonardo de Moura
3d63c0b5dc refactor(library/algebra/ring): using new structure instance syntax sugar to define instance 2015-01-16 17:42:30 -08:00
Leonardo de Moura
a86661f42c refactor(library/algebra/ordered_group): using new structure instance syntax sugar to define instances 2015-01-16 17:37:08 -08:00
Leonardo de Moura
ebc1878028 refactor(library/algebra/group): using new structure instance syntax sugar to define instances 2015-01-16 17:23:41 -08:00
Leonardo de Moura
8246feff67 refactor(library/logic/eq): cleanup proof 2015-01-13 17:12:21 -08:00
Leonardo de Moura
e4b9a89f5f refactor(library/data/fin): remove unnecessary import 2015-01-13 16:35:59 -08:00
Jeremy Avigad
b68ce77650 refactor/feat(library/data/nat): fix up sub and div, rename theorems, add theorems 2015-01-13 11:56:25 -05:00
Jeremy Avigad
0dcf06000b refactor(library/data/int/sub): rename theorems, add theorems, clean up 2015-01-12 16:28:42 -05:00
Leonardo de Moura
08a7997a97 refactor(library/data/string): put is_inhabited theorems on the toplevel 2015-01-10 14:07:20 -08:00
Leonardo de Moura
f053330755 refactor(library/data/sum): simplify has_decidable_eq proof using recursive equations and match expressions 2015-01-10 12:45:05 -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
7a3a73d931 refactor(library/data/nat): move nat.comm_semiring to separate file 2015-01-08 12:12:30 -08:00
Leonardo de Moura
05e1fc21f6 refactor(library/data/vector): define vector functions using recursive equations 2015-01-08 11:22:56 -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
42c328e781 refactor(library/data/nat/basic): rename pred.zero and pred.succ 2015-01-07 18:18:28 -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
7b9758ac14 feat(library/data/fin): add of_nat_to_nat theorem 2015-01-07 17:46:47 -08:00
Leonardo de Moura
98412ee942 refactor(library/data/fin): redo fin using recursive equations 2015-01-07 17:38:00 -08:00
Leonardo de Moura
597f7385e8 fix(library/unifier): incorrect fix 2015-01-07 16:57:02 -08:00
Leonardo de Moura
4b47d22d05 refactor(library/data/list): use recursive equations 2015-01-07 13:38:11 -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
Jeremy Avigad
b11064a90e fix(library/data/nat,int): fix instance declarations for nat and int 2015-01-03 22:27:21 -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
Jeremy Avigad
53f486835e fix(library/data/nat/order): delete unused material at end of file 2014-12-26 16:57:10 -05:00
Jeremy Avigad
1eea75b6fc fix(library/data/nat/div,tests/lean/run/ppbeta): make decidable for dvd transparent, name change in ppbeta 2014-12-26 16:44:43 -05:00
Jeremy Avigad
cecabbb401 refactor(library/data/int,library/algebra): make int an instnance of ordered ring, rename theorems 2014-12-26 16:25:05 -05:00
Jeremy Avigad
25394dddb7 refactor(library): change mul.left_id to mul_one, and similarly for mul.right_id, add.left_id, add.right_id 2014-12-23 21:14:36 -05:00
Jeremy Avigad
5bc6dd84cf feat(library/data/nat): make nat an instance of comm_semiring 2014-12-23 21:14:35 -05:00
Jeremy Avigad
486bc321ff refactor(library/data/nat): rename theorems 2014-12-23 21:14:35 -05:00
Jeremy Avigad
e587449a6d refactor(library/data): remove folders with a single file 2014-12-23 21:14:35 -05:00
Jeremy Avigad
6ad091d7bf refactor(library): clean up headers and markdown files 2014-12-22 15:33:42 -05:00
Jeremy Avigad
fe424add26 refactor(library/logic/axioms): rename theorems 2014-12-22 15:33:42 -05:00
Jeremy Avigad
0f0da64264 refactor(library/data/int): make int instance of integral domain 2014-12-22 15:33:42 -05:00
Jeremy Avigad
da7a403b6c refactor(library/algebra/ring): make dvd a definition 2014-12-22 15:33:41 -05:00
Leonardo de Moura
d2958044fd feat(frontends/lean): add multiple_instances command 
After this commit, Lean "cuts" the search after the first instance is
computed. To obtain the previous behavior, we must use the new command

          multiple_instances <class-name>

closes #370
 2014-12-21 17:28:44 -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
235894cec5 fix(data/int/basic): move decidable theorems 2014-12-17 18:27:39 -08:00
Jeremy Avigad
5a2f81e962 fix(library/data/int): define sub from algebra.sub 2014-12-17 18:02:55 -08:00
Jeremy Avigad
9d2587c79b refactor(library/data/int/basic): make the integers an instance of ring 2014-12-17 13:32:38 -05:00
Jakob von Raumer
25a5e29b7c chore(hott) delete old hott lib 2014-12-16 13:11:32 -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
Jeremy Avigad
2b56a2b891 feat(library/init): create markdown directory file 2014-12-15 16:43:42 -05:00
Jeremy Avigad
da719e6ee4 refactor(library/logic): rename theorems 2014-12-15 16:13:04 -05:00
Jeremy Avigad
3e9a484851 refactor(library/logic/connectives): rename theorems 2014-12-15 15:05:44 -05:00
Leonardo de Moura
7c8ab81cc6 feat(library/logic/quantifiers): add decidable_forall_eq and decidable_exists_eq theorems 2014-12-13 15:48:04 -08:00
Leonardo de Moura
c6ebe9456e feat(library/data/nat): add "bounded" quantifiers 
Later, we will add support for arbitrary well-founded relations
 2014-12-13 15:42:38 -08:00
Leonardo de Moura
6e84696960 fix(library/init/logic): expose inhabited basic instances 2014-12-13 14:26:44 -08:00
Leonardo de Moura
628faa10eb refactor(library/algebra/ordered_ring): add workarounds to improve performance 2014-12-13 13:12:25 -08:00
Jeremy Avigad
6f775be1b6 feat(library/algebra/ordered_ring): start on ordered_ring, and minor changes elsewhere 2014-12-13 11:35:35 -08:00
Leonardo de Moura
477d79ae47 refactor(library/init): move more theorems to logic 2014-12-12 13:50:53 -08:00
Leonardo de Moura
d6c8e23b03 refactor(library/init/logic): move theorems to library/logic 2014-12-12 13:24:17 -08:00
Leonardo de Moura
d50b7a8ba1 refactor(library/init/logic): move theorems to logic/cast 2014-12-12 12:39:16 -08:00
Leonardo de Moura
b900e9171d refactor(library/init/sigma): simplify lex.accessible proof using 'cases' tactic 2014-12-12 12:36:51 -08:00
Leonardo de Moura
b01cf73a91 feat(library/init/logic): add is_true and is_false 2014-12-11 18:14:03 -08:00
Leonardo de Moura
97552a8cfe refactor(library/sigma): fix/use sigma notation 2014-12-11 15:50:44 -08:00
Floris van Doorn
fec45abda5 feat(library/hott): multiple changes in the HoTT library 
Jakob accidentally undid some of my changes in commit aad4592, reverted that;
made style changes in multiple files;
in types/sigma: finished porting Coq-HoTT, and finished unfinished proof;
in axioms/funext: rename path_forall, make arguments implicit and make instance visible
 2014-12-09 21:32:35 -05:00
Jakob von Raumer
5278f70dea feat(library/lean) add one types as instances of groupoids 2014-12-09 19:12:54 -05:00
Jakob von Raumer
86a38c6c3d feat(library/hott) prove that each group is a contractible groupoid 2014-12-09 19:12:54 -05:00
Jakob von Raumer
f023e4999c feat(library/hott) prove that a groupoid on contractible object type is a group 2014-12-09 19:12:54 -05:00
Jakob von Raumer
7bfd897f9d feat(library/hott) add groupoid definition 2014-12-09 19:12:54 -05:00
Leonardo de Moura
05f27b8f0e feat(frontends/lean/structure): add option for controlling whether we automatically generate eta and projection-over-intro theorems for structures 
It seems most of the time these theorems are not used at all.
They are just polluting the namespace.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-12-09 12:40:09 -08:00
Jakob von Raumer
116e7ff82e feat(library/hott) port Jeremy's group file to use path equality 2014-12-09 10:00:37 -08:00
Jeremy Avigad
057615532e feat(library/data/int): replace int definition with structure and better computational behavior 2014-12-05 22:24:42 -08:00
Jakob von Raumer
133f935fce fix(library/hott): issues resulting from merge 2014-12-05 22:21:49 -08:00
Jakob von Raumer
7c1b75c818 feat(library/hott): add proof that the type of nat trafos is a set 
The characteriszation of nat trafo by sigma types up to equivalence is still to be done (two unsuccessful proof attempts included)
 2014-12-05 22:21:36 -08:00
Jakob von Raumer
cc2de8a8d9 feat(library/hott): complete proof that object types of proper hott categories are one truncated 2014-12-05 22:21:31 -08:00
Jakob von Raumer
aad4592cad feat(library/hott): complete theorems about truncatedness of isomorphism sets 2014-12-05 22:21:26 -08:00
Jakob von Raumer
5923392395 chore(library/hott): make precategory use the isomorphic structure 2014-12-05 22:21:21 -08:00
Jakob von Raumer
63afac301c chore(library/hott): turn isomorphic into structure 2014-12-05 22:21:16 -08:00
Jakob von Raumer
dbce41114a feat(library/hott): add definition of category 2014-12-05 22:21:12 -08:00
Jakob von Raumer
39ba9429f5 chore(library/hott): make constructions.lean compile, still lots of work to do 2014-12-05 22:21:06 -08:00
Jakob von Raumer
91862926e3 chore(library/hott): change precategory to structure, fix morphism.lean 2014-12-05 22:20:57 -08:00
Jakob von Raumer
6124b87870 fix(library/hott): adjust expliciteness of arguments 2014-12-05 22:20:51 -08:00
Jakob von Raumer
cda828bfe8 chore(library/algebra): change category to be a structure 2014-12-05 22:20:46 -08:00
Jakob von Raumer
b37a77d25e chore(library/hott): move precategory definition to its own folder 2014-12-05 22:20:40 -08:00
Jakob von Raumer
9631c6b1a1 feat(library/hott): add iso_of_path lemma for precategories 2014-12-05 22:20:33 -08:00
Jakob von Raumer
a1b468d104 feat(library/hott): port a part of algebra/category/constructions.lean, slice category still to do 2014-12-05 22:20:25 -08:00
Jakob von Raumer
67f71ee376 feat(library/hott): finish porting of natural_transformation.lean 2014-12-05 22:20:18 -08:00
Jakob von Raumer
ae618c20fb fix(library/hott): finish associativity proof 2014-12-05 22:20:11 -08:00
Jakob von Raumer
d8e2206bbc feat(library/hott): try to replace the proof irrelevance 2014-12-05 22:19:50 -08:00
Jakob von Raumer
5fe8ee606f feat(library/hott): port Floris' category implementation 2014-12-05 22:19:26 -08:00
Leonardo de Moura
e72c4977f0 feat(frontends/lean): nicer notation for dependent if-then-else 2014-12-04 11:13:09 -08:00
Leonardo de Moura
7d19b5b743 refactor(library/data/vector): cleanup 2014-12-03 21:06:17 -08:00
Floris van Doorn
e52157a8ea feat(hott/types): start characterization of pi-types and W-types 2014-12-03 20:29:16 -08:00
Floris van Doorn
2913035a61 style(hott/types): some style fixes in prod and sigma 2014-12-03 20:29:16 -08:00
Floris van Doorn
ff5e3d4403 style(hott/path): indent within namespace, add variables 2014-12-03 20:29:16 -08:00
Floris van Doorn
4b799a9da4 fix(hott/trunc): add explicit coercion so that the notation works if nat is not opened 2014-12-03 20:29:16 -08:00
Floris van Doorn
b62b4754cb feat(library/algebra): modify categories to use definitions, prove basic theorems about discrete categories 2014-12-03 20:29:16 -08:00
Leonardo de Moura
811bc6a31f feat(library/init/measurable): add 'measurable' type class 2014-12-03 18:54:24 -08:00
Leonardo de Moura
af978e40e8 refactor(library/data/option): move 'option' declaration to init.datatypes 2014-12-03 18:53:23 -08:00
Leonardo de Moura
fca97d5bb2 feat(library/definitional): add brec_on construction, closes #272 2014-12-03 10:39:32 -08:00
Jeremy Avigad
57effaf1a9 refactor(library/algebra): use new naming conventions, add information to speed up proofs 2014-12-02 12:14:14 -08:00
Jeremy Avigad
1bffd8dd21 refactor(library/algebra/order): change strong order pair, adopt new naming conventions 2014-12-02 12:14:14 -08:00
Leonardo de Moura
73429547ba fix(init/reserved_notation): remove "invisible" character at \/ 2014-12-02 12:06:39 -08:00
Leonardo de Moura
06f436840f fix(library/unifier): postpone class-instance constraints whose type could not be inferred 2014-12-01 22:27:23 -08:00
Leonardo de Moura
e6672b958f fix(library/tactic/inversion_tactic): add missing case 2014-12-01 19:11:44 -08:00
Leonardo de Moura
b094c1cf43 refactor(library/init): move num->nat coercion to init 2014-12-01 08:23:31 -08:00
Leonardo de Moura
5d4b6a3de2 chore(library/logic/logic.md): adjust documentation 2014-11-30 21:19:56 -08:00
Leonardo de Moura
697d4359e3 refactor(library): add 'init' folder 2014-11-30 20:34:12 -08:00
Leonardo de Moura
8dfd22e66c feat(frontends/lean): add 'prelude' command, and init directory 2014-11-30 17:03:08 -08:00
Leonardo de Moura
7dc055cfc9 chore(library/data/nat/decl): remove leftover 2014-11-30 15:10:10 -08:00
Leonardo de Moura
dad94eafbe refactor(data/nat/decl): use new naming convention at data/nat/decl.lean 2014-11-30 15:07:09 -08:00
Leonardo de Moura
f24eed50af refactor(library/logic/heq): minor change 2014-11-30 13:52:34 -08:00
Leonardo de Moura
c08f4672e4 feat(library/tactic): add 'assert' tactic, closes #349 2014-11-29 21:34:49 -08:00
Leonardo de Moura
1a7dd56f0f fix(library/tools/tactic): 'cases' argument precedence 2014-11-29 21:03:45 -08:00
Leonardo de Moura
f51fa93292 feat(library/tactic): add 'fapply' tactic, closes #356 2014-11-29 19:20:41 -08:00
Leonardo de Moura
2281fb30c8 refactor(library): use "symbolic" precedences in the standard library 2014-11-29 19:08:37 -08:00
Leonardo de Moura
2c0472252e feat(frontends/lean): allow expressions to be used to define precedence, closes #335 2014-11-29 18:29:48 -08:00
Leonardo de Moura
bed9467315 chore(library/hott/trunc): remove set_option 2014-11-29 08:55:47 -08:00
Leonardo de Moura
d7042c4618 fix(library/logic/heq): heq.to_eq must be transparent because it is needed in the 'inversion' tactic used by definitional package 2014-11-28 23:49:17 -08:00
Leonardo de Moura
cab99e2e22 refactor(library/data/vector): simplify 'vector' using new 'inversion' tactic 2014-11-28 23:19:53 -08:00
Leonardo de Moura
ae0daf9639 fix(library/data/prod/decl): give preference to unicode version when pretty printing 2014-11-28 23:02:19 -08:00
Jeremy Avigad
a9001166fd fix(library/algebra/category/morphism): remove sorry that was introduced by accident 2014-11-28 22:54:15 -08:00
Jeremy Avigad
bb8d436e75 refactor(library/algebra/relation, library/logic/instances): revise equivalence relations and congruences to use structure command 2014-11-28 22:54:15 -08:00
Jeremy Avigad
7571f50870 feat(library/binary, library/relation): introduce general properties for binary operations and relations 2014-11-28 22:54:15 -08:00
Jeremy Avigad
89380f088e feat(library): reorganize and declare some notation 2014-11-28 22:54:15 -08:00
Jeremy Avigad
58e325f0af feat(library/algebra): add to developments of group, ordered_group, and ring 2014-11-28 22:54:15 -08:00
Jeremy Avigad
f923d6a24c feat(library/data/sum): use + notation for sum 2014-11-28 22:54:15 -08:00
Jakob von Raumer
7c81044a99 chore(library/hott) change is_pointed to structure 2014-11-28 22:50:43 -08:00
Jakob von Raumer
0417c21bbb chore(library/hott) change naming in equiv_precomp 2014-11-28 22:50:43 -08:00
Jakob von Raumer
4587e46c67 chore(library/hott) change naming to leo's naming proposal 2014-11-28 22:50:43 -08:00
Jakob von Raumer
7374149758 chore(library/hott) change equiv.lean to use structures and more typeclass inference 2014-11-28 22:50:43 -08:00
Leonardo de Moura
011e955fed refactor(library/data/fin): simplify 'fin' module using new inversion tactic 2014-11-28 22:46:06 -08:00
Leonardo de Moura
e0debca771 feat(library/tactic/inversion_tactic): add 'case ... with ...' variant that allows user to specify names for new hypotheses 2014-11-28 22:25:37 -08:00
Leonardo de Moura
c2602baf2b feat(library/tools/tactic): add 'cases' alias for 'inversion' tactic 2014-11-28 19:33:11 -08:00
Leonardo de Moura
ebd320a6b3 feat(library/tactic): add first step of 'inversion' tactic 2014-11-26 21:28:00 -08:00
Leonardo de Moura
f7deabfd19 feat(library/rename): add notation for rename 2014-11-26 19:02:11 -08:00
Leonardo de Moura
e55397d422 feat(library/tactic): add 'clears' and 'reverts' variants 2014-11-26 14:49:48 -08:00
Leonardo de Moura
2bd8f969d5 feat(library/tactic): add 'revert' tactic, closes #346 2014-11-26 14:23:42 -08:00
Leonardo de Moura
df51ba8b7c feat(library/definitional/projection): use strict implicit inference, closes #344 2014-11-25 18:04:06 -08:00
Jakob von Raumer
53d66c91fc chore(library/hott) made ua_implies_funext a class instance 2014-11-23 17:43:55 -08:00
Jakob von Raumer
757cdcb130 feat(library/hott) funext from ua now with arbitrary universe levels for funext! 2014-11-23 17:43:55 -08:00
Jakob von Raumer
228205634d chore(library/hott) make funext more general 2014-11-23 17:43:55 -08:00
Jakob von Raumer
12429c93c8 fix(library/hott) fix equiv_precomp, doesn't look nice now 2014-11-23 17:43:55 -08:00
Jakob von Raumer
1f6b6ff8e6 chore(library/hott) adjust funext_from_ua.lea to typeclass axioms 2014-11-23 17:43:55 -08:00