Commit graph

863 commits

Author SHA1 Message Date
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
Jakob von Raumer
2d9621892b fix(library/hott) fill both gaps (I don't know why it works that way), change name from funext.apply to funext.ap, since apply seems to be a tactic name? 2014-11-23 17:43:55 -08:00
Jakob von Raumer
fd47a162de chore(library/hott) adapted theories to typeclass axioms 2014-11-23 17:43:55 -08:00
Jakob von Raumer
d8d2ea998d feat(library/hott) change axioms to Leo's axioms-as-typeclass proposal 2014-11-23 17:43:55 -08:00
Leonardo de Moura
64686c1278 feat(frontends/lean): allow user to associate precedence to binders, closes #323 2014-11-23 17:30:46 -08:00
Leonardo de Moura
7231a36ec7 refactor(library/data/nat/div): remove unnecessary annotations 2014-11-23 17:30:46 -08:00
Leonardo de Moura
13fba433b0 feat(library/tactic/generalize): add 'generalizes' syntax sugar, closes #327 2014-11-23 17:30:22 -08:00
Floris van Doorn
3523a70b4c fix(hott/path): make recursion-like definitions reducible 2014-11-22 17:44:13 -08:00
Floris van Doorn
e97b0b4e8e feat(hott/types): port more of the sigma library from Coq
prove theorems about interaction of sigma types and n-types, including the fact that sigmas preserve n-types
2014-11-22 17:44:12 -08:00
Floris van Doorn
25f5c56bb2 refactor(data/sigma): move notation from sigma.thms to sigma.decl 2014-11-22 17:44:12 -08:00
Floris van Doorn
7bfbe039d9 refactor(data.prod): move theorems about products from data.quotient.util to data.prod.thms 2014-11-22 17:44:12 -08:00
Floris van Doorn
24e35a9f2c fix(hott/trunc): comment out sorry 2014-11-22 17:44:12 -08:00
Floris van Doorn
bc807212ac feat(hott/path): add notation for higher and dependent transports 2014-11-22 17:44:12 -08:00
Floris van Doorn
e8b076e460 feat(hott/types/sigma): port large part of the sigma library from the hott library
most importantly, prove the characterization of paths in sigma types
2014-11-22 17:44:12 -08:00
Leonardo de Moura
616f2d9b82 fix(library/data/nat/div): notation should be local 2014-11-22 17:33:42 -08:00
Leonardo de Moura
ab9c51bd4b refactor(library/data/nat/div): simplify 'gcd' definition 2014-11-22 17:19:24 -08:00
Leonardo de Moura
2af5ce364d feat(library/data/nat/decl): add 'measure' 2014-11-22 17:19:03 -08:00
Leonardo de Moura
d07481f60f feat(library/data/nat/div): remove some 'sorry's 2014-11-22 14:59:35 -08:00
Leonardo de Moura
9368b879bf refactor(library/data/nat/div): use well-founded library for defining div, mod and gcd 2014-11-22 13:26:55 -08:00
Leonardo de Moura
21b16fd97c feat(library/data/nat): add more basic theorems for definitional package 2014-11-22 13:25:46 -08:00
Leonardo de Moura
faf736a9d2 feat(library/logic/default): add wf_k 2014-11-22 13:25:46 -08:00
Leonardo de Moura
a3daff702a fix(library/logic/wf): typo 2014-11-22 13:25:46 -08:00
Leonardo de Moura
47b6cfb28d feat(library/logic/if): add dependent if-then-else: dite 2014-11-22 09:56:32 -08:00
Leonardo de Moura
9c9f5bba1a refactor(library/data/nat): prove auxiliary theorems about < and sub asap for the definitional package 2014-11-22 09:36:33 -08:00
Leonardo de Moura
29a0d3109b refactor(library/logic/connectives): mark theorems used to prove 'decidable' theorems as transparent
if we don't this, then 'if-then-else' expressions depending on theorems
such as 'and_decidable', 'or_decidable' will not compute inside the kernel
2014-11-22 09:32:43 -08:00
Leonardo de Moura
064ecd3e3d refactor(library/data/nat): declare lt and le asap using inductive definitions, and make key theorems transparent for definitional package
We also define key theorems that will be used to generate the
automatically generated a well-founded subterm relation for inductive
datatypes.
We also prove decidability and wf theorems asap.
2014-11-22 00:19:39 -08:00
Leonardo de Moura
7c54dbce10 refactor(library/logic/if): mark basic theorem transparent 2014-11-22 00:19:05 -08:00
Leonardo de Moura
acf1c501ad refactor(library/logic/prop): allow 'absurd' to generate Type 2014-11-22 00:19:05 -08:00
Leonardo de Moura
2e121182de refactor(library/logic/decidable): rename decidable_rel -> decidable_pred, and decidable_rel2 -> decidable_rel 2014-11-21 11:49:31 -08:00
Jakob von Raumer
19d0afe160 feat(library/hott) completed the funext_from_ua proof with a somewhat restricted generality on universe levels 2014-11-21 10:46:16 -08:00
Jakob von Raumer
bc33af9f51 feat(library/hott) add universe polymorphism to paths, truncation, etc... get stuck at ua to funext proof anyway 2014-11-21 10:46:16 -08:00
Leonardo de Moura
47e3f0e770 fix(library/logic/wf_k): missing file 2014-11-21 10:03:20 -08:00
Leonardo de Moura
dbb3b7c72a refactor(library/data/nat/sub): cleanup 'max' theorems 2014-11-18 17:56:42 -08:00
Leonardo de Moura
e77cd59368 refactor(library/logic): add basic definitions for relations at logic/relation.lean
We need them for wf and definitional package
2014-11-18 17:32:22 -08:00
Leonardo de Moura
99c30db805 feat(library/data/fin): add fin type 2014-11-17 23:44:57 -08:00
Leonardo de Moura
e2ceb86884 feat(library/data/nat/order): add calc_trans commands for lt and le 2014-11-17 23:44:27 -08:00
Leonardo de Moura
5dc42762de feat(library/data): define 'nat.addl' addition using recursion on the first argument, prove it to be equivalent to 'add', and use it to define vector.append 2014-11-17 22:03:39 -08:00
Jakob von Raumer
fdafb1c11f fix(library/hott) adapt trunc.lean to missing equiv coercion 2014-11-17 18:39:02 -08:00
Jakob von Raumer
59fbe8b53e chore(library/hott) fix universe issue. note: this should be fixed when contr is not bound to universe level 1 anymore 2014-11-17 18:39:02 -08:00
Jakob von Raumer
992aad9661 feat(library/hott) postcomposition from ua lemma is done up to the last gap 2014-11-17 18:39:02 -08:00
Jeremy Avigad
4420f0dc0c feat(library/algebra/group): add ordered semigroups 2014-11-17 18:32:14 -08:00
Leonardo de Moura
3cd3da5a84 refactor(library/data/prod/wf): remove duplication, and import wf's for sigma and prod 2014-11-16 21:19:10 -08:00
Leonardo de Moura
b7725c2949 feat(library/data/sigma/wf): define 'lex' for 'sigma' types and prove wf theorem 2014-11-16 20:08:52 -08:00
Leonardo de Moura
dd0b1ecdbf refactor(library/data/sigma): break file into smaller pieces to reduce dependencies 2014-11-16 18:22:03 -08:00
Leonardo de Moura
53ac754328 refactor(library/data/option): cleanup using 'no_confusion' 2014-11-16 17:56:51 -08:00
Leonardo de Moura
de209f929e feat(library/data/prod/wf): define relational product and prove wf theorem for it 2014-11-16 17:47:07 -08:00
Leonardo de Moura
bf5f48730c refactor(library/data/subtype): define subtype using 'structure' command 2014-11-16 15:01:14 -08:00
Leonardo de Moura
b5404cd979 refactor(library/data/vector): cleanup, use variables, add concat 2014-11-15 22:36:52 -08:00
Leonardo de Moura
85f24e4c80 feat(library/data/vector): add 'zip' and 'unzip' functions 2014-11-15 22:19:23 -08:00
Leonardo de Moura
a7adfde84f feat(library/data/vector): use 'mechanical' definitions, and add 'last' function
The 'mechanical' definitions are "mimicking" what the definitional
package will do.
2014-11-15 20:21:18 -08:00
Leonardo de Moura
627c7cb531 chore(library/logic/wf): remove unnecessary :max 2014-11-14 17:37:05 -08:00
Jeremy Avigad
0d982cceed feat(library/algebra/ring): begin theory of semirings and rings 2014-11-14 17:27:35 -08:00
Leonardo de Moura
e7a7458922 feat(library/general_notation): reserve unary minus 2014-11-13 22:08:20 -08:00
Jeremy Avigad
1ed7794264 feat(library/algebra/group): add theorems for calculation 2014-11-13 20:44:58 -08:00
Jakob von Raumer
e740fbe8c4 chore(library/hott) remove hott.axoims.ua from imports of funext_from_ua.lean 2014-11-13 20:43:46 -08:00
Jakob von Raumer
b514a978b2 fix(library/hott) changed pointed.lean to use trunc.lean correctly 2014-11-13 20:43:46 -08:00
Jakob von Raumer
8dfa78e070 feat(library/hott) almost completed portin UnivalenceImpliesFunext.v 2014-11-13 20:43:46 -08:00
Jakob von Raumer
df4a8db23d feat(library/hott) add to trunc.lean: contractible types are equivalent to unit 2014-11-13 20:43:46 -08:00
Jakob von Raumer
3ee703f5d5 feat(library/hott) Ported part of UnivalenceImpliesFunext.v 2014-11-13 20:43:46 -08:00
Jakob von Raumer
2ed7032997 chore(library/hott) cleaned up the proof a bit 2014-11-13 20:43:46 -08:00
Jakob von Raumer
b5d564431a feat(library/hott) port the rest of Funext_Varieties.v 2014-11-13 20:43:46 -08:00
Jakob von Raumer
6296f8e092 feat(library/hott) port a good portion of FunextVarieties.v 2014-11-13 20:43:46 -08:00
Jakob von Raumer
be8c758be1 feat(library/hott) ported Pointed.v 2014-11-13 20:43:45 -08:00
Leonardo de Moura
edd04881ee fix(library/logic): import prod and unit declarations in logic
Reason: we need them for automatically generating constructions needed
by the definitional package
2014-11-12 16:54:50 -08:00
Leonardo de Moura
6bc89f0916 feat(library/definitional): define ibelow and below
These are helper definitions for brec_on and binduction_on
2014-11-12 16:38:46 -08:00
Leonardo de Moura
ef5a3e83ad feat(library/data/vector): expand 'vector' module 2014-11-11 22:33:47 -08:00
Leonardo de Moura
21b93bd2e5 chore(library/data/prod/wf): remove dependency on opaque theorem 2014-11-11 00:39:53 -08:00
Leonardo de Moura
54213b48dc feat(library/data/prod/wf): lex of well-founded relations is well-founded 2014-11-11 00:29:21 -08:00
Leonardo de Moura
76711d00c1 feat(library/data/nat/wf): define measure using inverse image 2014-11-11 00:28:46 -08:00
Leonardo de Moura
4623a62ec3 feat(library/data/nat/wf): predecessor relation is well-founded 2014-11-10 22:15:15 -08:00
Leonardo de Moura
9c93816211 chore(library/logic/wf): cleanup 2014-11-10 21:19:38 -08:00