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Author SHA1 Message Date
Haitao Zhang
679bb8b862 feat(library/data/fin): add more theorems on finite ordinals 
Add defintional equalities, properties of lifting and lowering functions, and definitions of madd.
 2015-06-14 20:49:47 -07:00
Haitao Zhang
844d59c2ae feat(library/data/fintype/function): add theorems of all nodup lists and all injective functions 2015-06-14 20:49:47 -07:00
Leonardo de Moura
ff5022c2f4 feat(library/data/axioms): add 'type_decidable' 
In Lean standard mode, Hilbert choice implies that all types are
decidable.
 2015-06-14 17:33:22 -07:00
Haitao Zhang
ef4b4d19ce feat(library/data/list/basic): add cons related equalities 2015-06-14 16:59:56 -07:00
Haitao Zhang
798b240149 fix(library/data/list/comb): adjust dmap related names to comply with convention 2015-06-14 16:59:56 -07:00
Haitao Zhang
6105263222 feat(library/data/list/comb): add theorem on dmap and adjust names 2015-06-11 15:29:52 -07:00
Haitao Zhang
1a9521dc9c fix(library/data/fintype/function): convert line endings from crlf to lf 2015-06-11 15:29:43 -07:00
Leonardo de Moura
1b5d1136d9 refactor(library/data/finset/card): remove unnecessary xrewrite 
We can use the default 'rewrite' tactic after the commits pushed today.
 2015-06-10 18:46:16 -07:00
Leonardo de Moura
dc8768627c refactor(library/data/fintype/function): cleanup proof 2015-06-10 18:21:15 -07:00
Leonardo de Moura
8fbe22f263 refactor(library/data/finset/basic): cleanup proof 2015-06-10 18:19:16 -07:00
Leonardo de Moura
226a5800dd fix(library/data/rat/order): adjust file to recent changes 2015-06-10 16:56:17 -07:00
Jeremy Avigad
3c1f5f4e33 feat(library/data/{set,finset}): add more cardinality facts, rename, and add a lemma from Haitao 2015-06-10 16:39:17 -07:00
Jeremy Avigad
658c5a2c49 feat(library/rat/basic.lean): add reduce for rat, and num and denom 2015-06-10 16:39:17 -07:00
Leonardo de Moura
4b91cfccff feat(frontends/lean/builtin_exprs): make notation ( e : T ) builtin 
In the previous approach, the following (definitionally equal) term was being generated

       (fun (A : Type) (a : A), a) T e
 2015-06-10 14:52:59 -07:00
Leonardo de Moura
1bffb89126 fix(library/algebra/function): lean was failing to infer that injective is a decidable predicate for finite types with decidable equality 
This is an issue reported by Haitao.
 2015-06-09 15:30:58 -07:00
Rob Lewis
d287b20018 chore(library/data/real): move more lemmas to algebra 2015-06-09 16:27:55 +10:00
Rob Lewis
01f0bb827c feat(library/data/real): use new algebra lemmas in completeness proof 2015-06-09 16:14:52 +10:00
Rob Lewis
7822ba9dee feat(library/algebra): add lemmas to group and ordered group 2015-06-09 16:14:21 +10:00
Rob Lewis
b1aea149db chore(library/data/real): update md 2015-06-09 15:43:43 +10:00
Rob Lewis
e112468f99 feat(library/data/real): prove reals are Cauchy complete 2015-06-09 15:39:51 +10:00
Rob Lewis
3749a8ad04 chore(library/data/real): update real.md 2015-06-09 15:39:51 +10:00
Leonardo de Moura
1c5c79fbc1 refactor(library/data/list/perm): use improved 'obtain' to cleanup proof 2015-06-08 11:58:21 -07:00
Haitao Zhang
6949e2d422 feat(library/data/fintype): add finite function related theories 
develop kth related techniques, all_lists_of_len, all_funs, map between lists and functions, finite inverse and cardinality
remove function module from default import list for now
 2015-06-08 10:48:22 -07:00
Leonardo de Moura
35eae96aa5 chore(library/data/int/gcd): remove 'TODO' 
The 'TODO' was fixed by commit 496189feed
 2015-06-08 10:45:05 -07:00
Jeremy Avigad
e59400b58c feat(library/data/int/{div,gcd}): add some theorems, to reduce rationals 2015-06-08 22:43:51 +10:00
Jeremy Avigad
1c93c5bbb2 feat(library/logic/{connectives.lean,quantiers.lean}): add iff congruence rules 2015-06-08 16:58:08 +10:00
Jeremy Avigad
feb385748f refactor(library/data/set/map.lean): put map into set namespace 
This is needed to repair a conflict in the tutorial, but it is the right thing to do anyhow. The type "map A B" should not be a top-level identifier.
 2015-06-06 18:58:33 -07:00
Leonardo de Moura
17f2c240e1 refactor(library/init/wf): cleanup wf proofs using tactics 
add dependent elimination for acc.
 2015-06-06 16:58:24 -07:00
Leonardo de Moura
7db84c7036 refactor(library/data): replace 'fin' with Haitao's 'less_than' 
The commit also fixes vector to use the new definition.
 2015-06-05 10:33:19 -07:00
Jeremy Avigad
453da48dd5 feat(library/data/less_than.lean): add finite ordinals from Haitao Zhang 2015-06-05 09:32:00 -07:00
Jeremy Avigad
370860e1b0 feat(library/data/fintype,finset): add cardinality for finite types from Haitao Zhang 2015-06-05 09:32:00 -07:00
Jeremy Avigad
f475408f4c feat(library/data/list/*): add theorems from Haitao Zhang and clean up 2015-06-05 09:32:00 -07:00
Jeremy Avigad
4db89e16dc feat(library/theories): create theories folder 2015-06-05 09:32:00 -07:00
Jeremy Avigad
c2aa8c6720 feat(library/data/finset/partition.lean): add theory of partitions into finsets by Haitao Zhang 2015-06-05 09:32:00 -07:00
Leonardo de Moura
4d52d4c790 fix(library/init/quot): prove quot.exact 2015-06-05 08:04:55 -07:00
Floris van Doorn
dce257bccb fix(init/nat): remove exit 2015-06-04 20:23:44 -04:00
Floris van Doorn
ff41886a32 feat(nat/bquant): give instances for quantification bounded with le 
also add theorems c_iff_c to logic/connectives, where c is a connective
 2015-06-04 20:14:13 -04:00
Floris van Doorn
7f5caab694 feat(nat): redefine le and lt in the standard library 2015-06-04 20:14:13 -04:00
Floris van Doorn
37995edbd7 fix(tools.md): remove missing link 2015-06-04 20:14:13 -04:00
Floris van Doorn
876aa20ad6 feat(hott): Port remainder of §6.3 and §7.2 from the HoTT book 
Also prove a theorem similar to Lemma 7.3.1

There are still some sorry's in hit.suspension
 2015-06-04 20:14:12 -04:00
Leonardo de Moura
63f61a35f4 feat(library/data/list/set): cleanup nodup_map proof 2015-06-04 15:21:40 -07:00
Leonardo de Moura
9a7cff0e89 feat(library/data/list/comb): add length_product theorem 2015-06-04 15:11:09 -07:00
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
03952ae12c feat(library/logic/{connectives,identities},library/algebra/function): cleanup and some additions from Haitao Zhang 2015-06-04 11:55:25 -07:00
Leonardo de Moura
dce86b3a84 feat(library/init/logic): add 'eq.drec' (in standard Lean) with a signature very similar to eq.rec in the HoTT library 2015-06-03 17:29:26 -07:00
Leonardo de Moura
c841e63649 refactor(library/data/fintype): create 'fintype' subdirectory 2015-06-03 16:43:55 -07:00
Leonardo de Moura
2a6ea2c6fb feat(library/data/finset/to_set): add to_set.inj 2015-06-03 14:05:43 -07:00
Leonardo de Moura
16d03c17ee refactor(library/logic/eq): use 'substvars' tactic 2015-06-02 23:55:51 -07:00
Leonardo de Moura
a8c9121d2e feat(library/data/vec): add vector as list subtype 2015-06-02 22:09:23 -07:00
Leonardo de Moura
7a39d5aaa3 feat(library/data): add auxiliary definitions 2015-06-02 22:08:25 -07:00
Leonardo de Moura
228a99af7e feat(library/data/subtype): cleanup proof 2015-06-02 19:51:28 -07:00
Leonardo de Moura
70d0dea02d feat(library/init/logic): add more congruence theorems 
Remark: the simplifier should be able to select the "right" one.
 2015-06-02 14:06:15 -07:00
Leonardo de Moura
2f9005827c feat(library/init/logic): 'if-then-else' and 'dependent-if-then-else' congruence theorems 
We will use these theorems to test the new simplifier.
 2015-06-02 13:27:50 -07:00
Leonardo de Moura
50fe4ec6c0 feat(library/data/encodable): add quot.rep definition for choosing equivalence class representative for equivalence classes of encodable types 2015-06-02 11:03:24 -07:00
Leonardo de Moura
e7448ca77e feat(library/init/quot): add exists_rep theorem for quotients 2015-06-02 10:52:07 -07:00
Leonardo de Moura
1ea56038e3 feat(library/init/quot): add has_decidable_eq definition for quotients 2015-06-02 10:47:20 -07:00
Rob Lewis
b1404c5943 feat(library/data/real): fill in sorrys in proof that R is l.o. field 2015-06-01 23:00:53 +10:00
Rob Lewis
9843e61583 feat(library/data/real): define inverses of reals, prove (classically) that R is a discrete linear ordered field 2015-06-01 23:00:53 +10:00
Jeremy Avigad
82142b60f0 refactor(library/data/finset/basic.lean): remove finset / finset.finset duplicate 2015-06-01 12:35:44 +10:00
Jeremy Avigad
dcae29a253 feat(library/data/int/gcd.lean): add gcd for the integers 2015-06-01 12:35:44 +10:00
Jeremy Avigad
ffa648a090 feat/refactor(library/*): various additions and improvements 2015-06-01 12:35:44 +10:00
Jeremy Avigad
cdecc309b3 fix(library/data/finset/to_set.lean): to_set does not require decidable equality 2015-06-01 12:35:44 +10:00
Leonardo de Moura
1238f43575 feat(library/logic/examples): add "double-negation translation" example 2015-05-31 18:18:10 -07:00
Leonardo de Moura
ca110012d8 feat(library/tactic): automate "generalize-intro-induction/cases" idiom 
closes #645
 2015-05-30 21:57:28 -07:00
Jeremy Avigad
b76445df39 feat(library/data/{nat,int}/div.lean,*): improve and extend div in nat and int 2015-05-30 22:10:21 +10:00
Jeremy Avigad
c986ee305b refactor(library/data/nat/gcd.lean): move gcd to a new file 2015-05-30 22:10:21 +10:00
Jeremy Avigad
cc0a620db1 feat(library/data/{nat,int}/div.lean): add to and improve div library 2015-05-30 22:10:21 +10:00
Rob Lewis
82f85a574d feat(library/data/real): prove reals form an ordered ring 2015-05-29 14:11:51 +10:00
Rob Lewis
2273dc669e feat(library/data): fill in sorrys in int and rat orderings 2015-05-29 14:11:51 +10:00
Rob Lewis
6dfcc4610b feat(data): update orderings on int and nat to conform to new algebraic hierarchy 2015-05-29 14:11:51 +10:00
Rob Lewis
4b67cd1f97 feat(library/algebra): update algebraic hierarchy to be more constructive 2015-05-29 14:11:50 +10:00
Leonardo de Moura
00232e70d6 feat(hott,library): auxiliary theorems for simplifier 2015-05-27 16:35:56 -07:00
Leonardo de Moura
85409a59d3 feat(library/tactic/rewrite_tactic): add xrewrite and krewrite tactic variants 
closes #511
 2015-05-27 16:32:43 -07:00
Leonardo de Moura
dc6411b903 feat(library/inductive_unifier_plugin): restrict rule that was generating non-terminating behavior 
see issue #632
 2015-05-27 14:41:12 -07:00
Leonardo de Moura
5da4922397 feat(library/data/list/perm): cleanup proofs 
refl and symm were refering to the setoid.refl and setoid.symm.
Moreover, they were producing harder elaboration problems
 2015-05-27 12:30:56 -07:00
Leonardo de Moura
47e5633498 feat(frontends/lean/calc_proof_elaborator): avoid unnecessary unfolding in the calc tactic 2015-05-27 12:07:39 -07:00
Floris van Doorn
8056f326d7 feat(reserved_notation): make is_typeof parsing-only, add ^ to HoTT 2015-05-26 21:37:01 -07:00
Floris van Doorn
0c7e16e017 feat(library.data.int.basic): move theorems about successor and predecessor from HoTT to standard library 2015-05-26 21:37:01 -07:00
Leonardo de Moura
7f0951b8e7 feat(library/tactic): improve assumption tactic performance 2015-05-25 20:22:37 -07:00
Rob Lewis
393cefcf97 feat(library/data/real): define real numbers, prove they form a commutative ring 2015-05-26 12:05:53 +10:00
Rob Lewis
681f431d4b feat(library/data/rat): make rat subtraction reducible, fix migration of min/max 2015-05-26 11:52:34 +10:00
Rob Lewis
eb537daa1c feat(library/algebra): add min/max to ordered algebraic structures 2015-05-26 11:45:09 +10:00
Leonardo de Moura
4152ebfa23 refactor(library/data/nat): use new tactics 2015-05-25 18:14:52 -07:00
Jeremy Avigad
39129f112b refactor(library/*): do various renamings 2015-05-25 16:50:42 -07:00
Jeremy Avigad
a64c0ea845 feat/refactor(library/data/{int,rat}/*): improve casting from nat to int to rat 2015-05-25 16:50:42 -07:00
Jeremy Avigad
4ed9e46532 refactor(library/data/int/*): use better direction for of_nat theorems 2015-05-25 16:50:42 -07:00
Jeremy Avigad
fdc89cd285 refactor(library/algebra/order.lean,library/{data,algebra}/*): use better names for order theorems 2015-05-25 16:50:42 -07:00
Jeremy Avigad
81c0ef8c89 refactor(library/data/nat/*): cleanup, additions, renaming 2015-05-25 16:50:42 -07:00
Jeremy Avigad
7c92161e49 refactor(library/data/finset/basic.lean): change order of arguments to induction tactic 2015-05-25 16:50:42 -07:00
Jeremy Avigad
716da2488b fix(hott/*.md,library/*.md): use the word 'file' instead of 'module' 2015-05-25 16:50:42 -07:00
Leonardo de Moura
6db08c5519 test(library): test new tactics in the standard library 2015-05-25 16:48:33 -07:00
Leonardo de Moura
d0987eb3ac feat(library/tactic): add 'subtvars' tactic 2015-05-25 16:36:44 -07:00
Leonardo de Moura
7e875c8d85 refactor(library): simplify theorems using improved tactics 2015-05-25 10:43:28 -07:00
Leonardo de Moura
88975927e6 fix(library/tactic/relation_tactics): beta-reduce goal before trying to extract head symbol 2015-05-24 18:56:35 -07:00
Leonardo de Moura
c453bb52a9 feat(library/data/stream): add notation and commonly used definitions 2015-05-24 16:53:58 -07:00
Leonardo de Moura
880027ea0e feat(library/data/stream): define stream mem predicate and prove basic theorems 2015-05-24 15:47:33 -07:00
Leonardo de Moura
607a5fbb86 feat(library/data/stream): define cycle, inits, tails for streams and prove basic theorems 2015-05-24 13:42:51 -07:00
Leonardo de Moura
3181471024 feat(library/data/list/basic): add nth_eq_some aux theorem 2015-05-24 10:10:23 -07:00
Leonardo de Moura
32a2425e02 feat(library/data/stream): prove take lemma for infinite streams 2015-05-23 23:01:54 -07:00
Leonardo de Moura
75901157a1 feat(library/data/stream): add more declarations and examples demonstrating how to use eq_of_bisim 2015-05-23 22:03:17 -07:00
Leonardo de Moura
d987d6cc84 feat(library/data/stream): simplify corecursion proofs, define interleave operation by corecursion, add one example of proof by bisimulation 2015-05-23 16:00:08 -07:00
Leonardo de Moura
8685e8ad7e feat(library/data/stream): define corec for infinite streams 2015-05-23 14:32:52 -07:00
Leonardo de Moura
dd4dd154ec feat(library/data/stream): add bisimulation for streams 2015-05-23 12:07:27 -07:00
Jeremy Avigad
8bebd104ff refactor(library/*): remove 'Module:' lines 2015-05-23 20:52:23 +10:00
Jeremy Avigad
db7bdce451 refactor(logic/funext.lean, algebra/function.lean): delete logic/funext, merge into algebra/function 2015-05-23 16:16:36 +10:00
Jeremy Avigad
f65a49b2c3 feat/fix(library/data/nat,int): add power to int, add trans attributes, power notation 2015-05-23 15:38:42 +10:00
Jeremy Avigad
a662f925cb refactor(library/data/quotient.lean): improve comments 2015-05-23 14:21:16 +10:00
Jeremy Avigad
d33c91d7b9 fix({hott,library}/algebra/*): fix names 2015-05-23 14:05:06 +10:00
Jeremy Avigad
4bc93b59e3 feat(library/data/rat/{basic,order}.lean): add property of of_int 2015-05-23 12:34:07 +10:00
Jeremy Avigad
59c1801921 refactor(library/data/{list,set,finset}/basic.lean): make subset reserved notation 2015-05-23 12:34:07 +10:00
Leonardo de Moura
fe32b9fa7f feat(library/data/stream): add infinite streams 2015-05-22 18:08:11 -07:00
Leonardo de Moura
1665ee39e8 feat(library/data/finset/card): test 'induction' tactic at finset 2015-05-19 15:56:51 -07:00
Leonardo de Moura
3e87f09d78 feat(library/tactic/induction_tactic): add support for user-defined recursors that contain parameters that should be synthesized by type class resolution 2015-05-19 15:33:46 -07:00
Leonardo de Moura
e1c2340db2 fix(frontends/lean): consistent behavior for protected declarations 
see https://github.com/leanprover/lean/issues/604#issuecomment-103265608

closes #609
 2015-05-18 22:35:18 -07:00
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
Leonardo de Moura
b1ece388a6 feat(frontends/lean,library/tactic/induction_tactic): improve induction tactic notation, expand induction tactic implementation 2015-05-18 09:25:07 -07:00
Jeremy Avigad
566acf4b31 feat(library/data/finset/card.lean): add card_Union_of_disjoint and other theorems 2015-05-17 19:06:10 +10:00
Jeremy Avigad
6549940c63 feat(library/data/finset/bigops.lean): add Union for finsets 2015-05-17 17:50:32 +10:00
Jeremy Avigad
783dd61083 feat(library/data/finset/basic.lean): add useful calculation rules for quantifiers 2015-05-17 17:49:02 +10:00
Jeremy Avigad
9720d84095 refactor(library/algebra/group_bigops.lean,library/data/nat/bigops.lean): add ext principle, clean up file 2015-05-17 16:00:38 +10:00
Jeremy Avigad
4764f6e8ec refactor(library/algebra/group_bigops.lean,library/data/nat/bigops.lean): simplify naming scheme for bigops 2015-05-17 15:24:37 +10:00
Jeremy Avigad
6dc1cfca3c feat(library/init/nat.lean): add notation <= and >= for nat 2015-05-17 12:57:48 +10:00
Jeremy Avigad
7bde8193fe feat(library/algebra/order): add alternate names for le.antisymm etc. 2015-05-17 12:54:36 +10:00
Jeremy Avigad
981bf93ce0 feat(library/data/default.lean): add rat and vector 2015-05-17 12:19:47 +10:00
Jeremy Avigad
ff701a9812 feat(library/data/nat/bigops.lean): add finite products and sums for nat 2015-05-16 22:26:59 +10:00
Jeremy Avigad
eae047bd31 refactor,feat(library/{data,algebra}): move bigops to algebra, define sums 2015-05-16 18:42:13 +10:00
Jeremy Avigad
87e4f7a951 feat(library/algebra/group.lean): add coercions from additive (comm) monoid to (comm) monoid 2015-05-16 18:27:49 +10:00
Jeremy Avigad
63bb4b558a fix(library/data/set/{classical_inverse.lean,map.lean}): protect definitions in map, to avoid ambiguity 2015-05-16 18:24:19 +10:00
Jeremy Avigad
26ad6dde69 fix(library/data/fintype.lean): reduce imports, to avoid cyclic dependencies 2015-05-16 17:53:35 +10:00
Jeremy Avigad
daf53e4de2 fix(library/algebra/order.lean): rename decidable_eq to had_decidable_eq to avoid conflict 2015-05-16 17:53:35 +10:00
Jeremy Avigad
81d0d4aa53 fix(library/data/{set,finset}/basic.lean: delete \{{ \}}} notation (conflicts with records) 2015-05-16 17:53:35 +10:00
Sebastian Ullrich
77c20e99ff feat(library/tactic/inversion_tactic): consistent orientation of generated equalities 
Generated equalities in proof irrelevant environments were inverted
compared with the documentation and the proof relevant case, which
resulted in newly generated local vars replacing equivalent old ones
instead of the other way around.
 2015-05-14 23:32:54 +02:00
Jeremy Avigad
8de6a4bb4c feat(library/algebra/group_pow.lean,library/data/nat/power.lean): add generic power operation on monoids and groups 2015-05-13 22:19:02 -07:00
Leonardo de Moura
51a30892a1 chore(examples/ex): move example to library 2015-05-13 17:07:10 -07:00
Leonardo de Moura
065a1f7501 feat(library/tactic): add 'induction' tactic skeleton 2015-05-12 20:21:25 -07:00
Jeremy Avigad
05e28aaf19 feat(library/data/nat/{basic.lean,order.lean}): use migrate 2015-05-12 06:20:51 -07:00
Jeremy Avigad
42616f766f refactor(library/data/{nat,int,rat}/{basic.lean,order.lean}: make algebra instance declarations local 2015-05-12 06:20:47 -07:00
Leonardo de Moura
f25c301c98 fix(library/data/rat): migrate for rat 2015-05-12 04:46:34 -07:00
Leonardo de Moura
d2adf922b7 refactor(library/data/int): use "migrate" command 2015-05-12 04:24:13 -07:00
Leonardo de Moura
396f77aa68 fix(library,hott): comment 'exit' commands to avoid warnings during compilation 2015-05-11 11:49:23 -07:00
Leonardo de Moura
f59a81d744 refactor(library/data): use new 'obtain' expression 2015-05-11 09:14:48 -07:00
Jeremy Avigad
a009cf24e3 feat(library/data/finset/{basic,card,comb}.lean: add theorems, including card of an injective image 2015-05-11 09:03:57 -07:00
Jeremy Avigad
3e07716b5d feat(library/data/finset/to_set.lean): add finset/set translation theorems 2015-05-11 09:03:56 -07:00
Jeremy Avigad
efbca4c78e feat(library/data/finset/finset.md): add markdown file 2015-05-11 09:03:56 -07:00
Jeremy Avigad
9d73aa657b feat(library/data/{finset,list}/comb.lean): add 'any' for finsets 2015-05-11 09:03:56 -07:00
Leonardo de Moura
379af8a04e feat(library): avoid 'definition' hack for theorems 2015-05-09 12:15:30 -07:00
Leonardo de Moura
bd28396be0 feat(kernel): transparent theorems 
closes #576
 2015-05-09 11:42:29 -07:00
Leonardo de Moura
8086ad7461 feat(library/init): define quot.hrec_on and quot.hrec_on₂ based on heterogeneous equality 
They are easier to use than the version with nested eq.rec's
 2015-05-09 09:49:41 -07:00
Leonardo de Moura
4f0f739ea6 feat(library): remove occurrences of 'opaque' keyword 2015-05-08 16:40:03 -07:00
Leonardo de Moura
6c958a25e7 refactor(library/tactic/expr_to_tactic): make sure builtin tactics don't need to be marked opaque 
This modification is needed since we will remove opaque definitions from
the kernel.

see issue #576
 2015-05-08 16:06:16 -07:00
Leonardo de Moura
57ea660963 refactor(*): start process for eliminating of opaque definitions from the kernel 
see issue #576
 2015-05-08 16:06:04 -07:00
Leonardo de Moura
3aac370629 fix(library/data/finset/basic): type error on the finset.induction proof 2015-05-08 11:08:24 -07:00
Jeremy Avigad
624b664950 refactor(library/data/list/basic.lean): make minor renaming 2015-05-08 20:25:28 +10:00
Jeremy Avigad
75e50fd371 feat(library/data): update defaults and markdown files 2015-05-08 20:23:15 +10:00
Jeremy Avigad
b56f7a06d5 refactor(library/data/finset/bigop.lean): use inter eq empty rather than disjoint 2015-05-08 20:06:21 +10:00
Jeremy Avigad
6fce01385c feat(library/data/{finset,list}/bigop.lean: generalize bigops from group to monoid 2015-05-08 19:51:37 +10:00
Jeremy Avigad
42f2fc973a refactor(library/data/{finset,list,fintype}: rename cross_product to product 2015-05-08 19:51:37 +10:00
Jeremy Avigad
68f7afa053 feat(library/data/finset/card.lean): begin theory of cardinality 2015-05-08 19:51:37 +10:00
Jeremy Avigad
9e04d09381 feat(library/data/finset/comb.lean): add filter, diff, theorems 2015-05-08 19:51:37 +10:00
Jeremy Avigad
4db4c86d37 feat(library/data/finset/basic.lean): add lots of theorems, do minor renaming 2015-05-08 19:51:37 +10:00
Jeremy Avigad
a54a98c1ec feat(library/data/set): add distributivity, diff, uniformize with finset 2015-05-08 19:51:37 +10:00
Jeremy Avigad
9e26dddaf3 feat(library/data/list/perm): add perm_filter 2015-05-08 19:51:37 +10:00
Jeremy Avigad
86a039b6d5 feat(library/data/list/set.lean): add two theorems 2015-05-08 19:51:37 +10:00
Jeremy Avigad
e4c75ae8ae feat(library/logic/connective.lean): add distributivity laws 2015-05-08 19:51:37 +10:00
Jeremy Avigad
ba78cc42f9 fix(library/data/set/basic.lean, function.lean): fix typos 2015-05-08 19:51:37 +10:00
Leonardo de Moura
0b57f7d00a refactor(library/tactic): refine interface between tactic and proof-term modes 
Some constraints were being lost with the previous interface.
This is why we had a workaround in fintype.lean.

We can also remove some hacks we have used in the past.
 2015-05-07 18:02:51 -07:00
Floris van Doorn
9893de6194 feat(hit/circle): prove partly that the fundamental group of the circle is int 
Also add markdown files for nat and int
 2015-05-07 16:39:04 -07:00
Floris van Doorn
0a8f4f6dab feat(function): add unfold hints to function.[h]lean 2015-05-07 16:39:03 -07:00
Floris van Doorn
7cfac38eda feat(hott): port parts of natural numbers and integers from standard library to HoTT 
This also involves:
- adding definitions about logic and natural numbers existing in the standard library to init
- porting the current algebraic hierarchy
 2015-05-07 16:39:03 -07:00
Leonardo de Moura
e2c1dc92a8 chore(library/data/fintype): add workaround until problem in the elaborator is fixed 2015-05-07 16:32:26 -07:00
Leonardo de Moura
aff9257c72 feat(frontends/lean): allow → to be used in calc proofs 
see issue #586
 2015-05-07 12:28:47 -07:00
Leonardo de Moura
b03266be70 feat(library/normalize,frontends/lean): rename '[unfold-m]' hint to '[constructor]', and allow it to be attached to constants 
closes #587
 2015-05-07 12:00:34 -07:00
Leonardo de Moura
5798ac43de fix(frontends/lean/structure_cmd): 'structure' command must set unfold-c attribute for auxiliary recursors 
fixes #582
 2015-05-07 09:09:07 -07:00
Leonardo de Moura
64cc710ff7 refactor(ordered_group): replace 'match' with 'obtain' 2015-05-06 10:34:43 -07:00
Leonardo de Moura
84deddcca9 feat(library/tactic/rewrite_tactic): apply 'reflexivity' tactic after 'rewrite' instead of hard coded solution 2015-05-05 20:23:49 -07:00
Leonardo de Moura
7aa0e466a5 test(library): test new 'obtain' expression in the standard library 2015-05-05 18:30:16 -07:00
Leonardo de Moura
616f49c2e4 feat(frontends/lean): improved 'obtains' expression 2015-05-05 18:30:16 -07:00
Jeremy Avigad
f7a610faa3 feat(library/data/set/basic,function): mark set reducible, and add theorem from Haitao Zhang 2015-05-05 08:55:58 -07:00
Leonardo de Moura
11f74363e2 refactor(library): rename 'intersection' to 'inter' in list and finset, add finset abbreviation at top level 2015-05-05 08:53:31 -07:00
Leonardo de Moura
a46abbb9ce refactor(library/data): test new tactics in the standard library 2015-05-03 21:40:33 -07:00
Leonardo de Moura
3cd8f38b8d feat(library/data/string): prove that string and char have decidable equality 2015-05-03 21:08:09 -07:00
Leonardo de Moura
4e1146a2d5 refactor(hott,library): test new tactics in the HoTT and standard libraries 2015-05-02 22:22:31 -07:00
Leonardo de Moura
b39fe17dee feat(library/tactic): add 'transitiviy', 'reflexivity' and 'symmetry' tactics 
closes #500
 2015-05-02 15:48:25 -07:00
Leonardo de Moura
cd17618f4a refactor(library): replace 'calc_trans', 'calc_symm', 'calc_refl' and 'calc_subst' commands with attributes '[symm]', '[refl]', '[trans]' and '[subst]' 
These attributes are used by the calc command.
They will also be used by tactics such as 'reflexivity', 'symmetry' and
'transitivity'.

See issue #500
 2015-05-02 15:15:35 -07:00
Leonardo de Moura
415ca2b93f feat(library/tactic): add 'congruence' tactic 
It is the f_equal described at issue #500.
 2015-05-02 12:58:46 -07:00
Leonardo de Moura
458d13025f refactor(library,hott): define 'congr' in the initialization files 2015-05-02 11:29:31 -07:00
Leonardo de Moura
ac8ba6a3cf feat(library/tactic): add 'subst' tactic 
see issue #500
 2015-05-01 19:31:24 -07:00
Leonardo de Moura
e8affed020 refactor(library): test new tactics in the standard library 2015-05-01 18:18:29 -07:00
Leonardo de Moura
de369a0a0a feat(library/tactic/injection_tactic): improve 'injection' tactic 
see issue #500
 2015-05-01 15:49:56 -07:00
Leonardo de Moura
9ba8b284a1 fix(library/tactic/apply_tactic): add eapply, and fix issue #361 2015-05-01 15:08:00 -07:00
Leonardo de Moura
e948dd239c feat(library/data/list/perm): use new 'injection' tactic 2015-05-01 13:08:36 -07:00
Leonardo de Moura
63eb155c7e feat(library/tactic): add 'injection' tactic 
see issue #500
 2015-05-01 12:45:21 -07:00
Leonardo de Moura
1e18a76bdb chore(library/init/nat): replace 'no_confusion' with 'by contradiction' 2015-04-30 21:26:52 -07:00
Leonardo de Moura
2d9c950144 feat(library/tactic/constructor_tactic): allow 'constructor' tactic without index 
see issue #500
 2015-04-30 21:15:07 -07:00
Leonardo de Moura
d152f38518 feat(library/tactic): add 'constructor', 'split', 'left', 'right' and 'existsi' tactics 
see issue #500
 2015-04-30 17:52:29 -07:00
Leonardo de Moura
1c6067bac2 feat(library/tactic): add 'exfalso' tactic 
see issue #500
 2015-04-30 15:43:07 -07:00
Leonardo de Moura
59b11c815c refactor(library/data/list/perm): remove unnessary lambda abstractions 
The contradiction tactic takes care of it.
 2015-04-30 14:02:19 -07:00
Leonardo de Moura
9760968b45 refactor(library,hott): use/test new 'contradiction' tactic in the standard and hott libraries 2015-04-30 13:56:12 -07:00
Leonardo de Moura
9c8a63caec feat(library/tactic): add 'contradiction' tactic 
see issue #500

Remark: this tactic also applies no_confusion to take care of a contradiction
 2015-04-30 13:47:40 -07:00
Leonardo de Moura
3233008039 feat(library/tactic): allow user to name generalized term in the 'generalize' tactic 
closes #421
 2015-04-30 11:57:40 -07:00
Leonardo de Moura
3912bc24c8 feat(frontends/lean): nicer syntax for 'intros' 'reverts' and 'clears' 2015-04-30 11:00:39 -07:00
Leonardo de Moura
f60dc8ae8f refactor(library/init/nat): cleanup 2015-04-30 10:10:13 -07:00
Leonardo de Moura
018f768555 chore(library): remove some unnecessary parentheses 2015-04-29 14:39:59 -07:00
Leonardo de Moura
d2c7b5c319 feat(library/tactic): add 'let' tactic 
closes #555
 2015-04-28 17:24:43 -07:00
Leonardo de Moura
a23118d357 feat(frontends/lean): add tactic_notation command 
This addresses the first part of issue #461

We still need support for tactic definitions
 2015-04-27 17:46:13 -07:00
Leonardo de Moura
ca8943f45b feat(library,hott): remove rapply tactic 2015-04-27 15:06:16 -07:00
Leonardo de Moura
17c07cdb02 feat(library/data/rat/order): define abs and sign for rat before migrate 2015-04-27 12:59:02 -07:00
Jeremy Avigad
7a1064b7e8 refactor(library/algebra/order.lean): rename a field in an order structure 2015-04-27 12:03:41 -07:00
Jeremy Avigad
d8e40d90d6 feat(library/data/rat/order.lean): make rat a linear ordered field 2015-04-27 12:03:41 -07:00
Leonardo de Moura
76c773ad3d feat(library/data/examples/depchoice): add dependent choice example 2015-04-26 12:56:23 -07:00
Leonardo de Moura
072bf0b3b4 refactor(library): make sure "choose" compute inside the kernel 2015-04-25 23:10:48 -07:00
Leonardo de Moura
d455bb4c5b feat(library/data/fintype): add decidable_exists_finite 2015-04-25 21:38:03 -07:00
Leonardo de Moura
6bb6644c25 feat(library/data/squash): define squash type using quotients 2015-04-24 18:11:25 -07:00
Leonardo de Moura
9d01868361 feat(frontends/lean): use rewrite tactic to implement unfold (it has a unfold step) 
closes #502
 2015-04-24 17:23:12 -07:00
Leonardo de Moura
1149ead14c chore(library/logic/examples/colog88): remove unnecessary annotation 2015-04-24 12:45:06 -07:00
Leonardo de Moura
a5306e70eb feat(library/logic/examples/negative): add example showing that allowing negative inductive datatypes would lead to inconsistency 2015-04-24 09:33:09 -07:00
Leonardo de Moura
15c331591e feat(library/logic/examples/colog88): add example from COLOG-88 paper 2015-04-24 09:33:09 -07:00
Leonardo de Moura
2613e7c444 fix(frontends/lean): bug when handling identifiers in tactics 
This bug was reported by Jeremy in the Lean Google group:
https://groups.google.com/forum/?utm_medium=email&utm_source=footer#!msg/lean-discuss/ZKJ8WPPEVJA/n05x6rPRzvMJ
 2015-04-22 16:03:22 -07:00
Floris van Doorn
9d805437f0 fix(reserved_notation): lower binding power of 'iff' 2015-04-22 13:06:11 -07:00
Leonardo de Moura
670eac9d50 refactor(library): avoid 'context' command in the standard library 2015-04-21 19:13:19 -07:00
Leonardo de Moura
bf8a7eb9b4 fix(library/scoped_ext): bug in local metadata in sections 
The problem is described in issue #554
 2015-04-21 18:56:28 -07:00
Leonardo de Moura
6f6d106a10 feat(library/tactic): add "check_expr" tactic 
closes #486
 2015-04-19 19:00:05 -07:00
Leonardo de Moura
306087b5d3 refactor(library/data): rename 'countable' to 'encodable', define countable in the usual way, and prove all 'encodable' type is 'countable' 2015-04-19 14:20:47 -07:00
Jeremy Avigad
f4398115b4 feat(library/data/rat/basic.lean): begin theory of rationals, show rat is a field 2015-04-18 11:39:52 -07:00
Jeremy Avigad
6359132b67 refactor(library/algebra/field.lean): rename has_decidable_eq and declare instance 2015-04-18 11:39:52 -07:00
Jeremy Avigad
dfaeb475cc feat(library/init/reserved_notation.lean): add equiv relation symbol 2015-04-18 11:39:52 -07:00
Jeremy Avigad
5eb7fef564 feat(library/algebra/order.lean, data/int/{basic,order}.lean): add theorem, correct gt_trans 2015-04-18 11:39:52 -07:00
Jeremy Avigad
53919699bc refactor(library/logic/axioms/prop_decidable.lean): simplify proof of prop_decidable (using arbitrary instead of epsilon) 2015-04-18 11:39:52 -07:00
Leonardo de Moura
cc63a40a01 feat(library): enforce name conventions on old nat declarations 2015-04-18 10:50:30 -07:00
Leonardo de Moura
10954a073c feat(library/logic/examples): add new example from Martín Escardó paper 2015-04-17 15:22:52 -07:00
Leonardo de Moura
9cb759e0a9 feat(library/logic/axioms/examples/leftinv_of_inj): add classical example 2015-04-16 22:39:51 -07:00
Leonardo de Moura
3b84a63874 fix(library/algebra/function): terminology 2015-04-16 20:52:18 -07:00
Leonardo de Moura
2e675c1bdd feat(library/data/examples/notcountable): add example showing that nat -> nat is not countable 2015-04-16 14:54:34 -07:00
Leonardo de Moura
df8ebeeefc feat(library/logic/axioms/examples/diaconescu): remove redundant hypothesis 2015-04-16 14:04:09 -07:00
Leonardo de Moura
7529ee0a5c feat(library/data/countable): prove axiom of choice and skolem theorem for countable types and decidable relations 2015-04-16 12:36:27 -07:00
Leonardo de Moura
0dd7667836 feat(library/data/countable): choice function for countable types 2015-04-16 12:29:06 -07:00
Leonardo de Moura
7a4f43d6ab feat(library/data/nat/choose): choice function for natural numbers 2015-04-16 11:33:26 -07:00
Leonardo de Moura
b14d3dbeba chore(library/data/countable): add copyright notice 2015-04-16 09:24:53 -07:00
Leonardo de Moura
036900280d feat(library/data/countable): show that a type is countable by providing an injection to a type already known to be countable 2015-04-15 10:30:24 -07:00
Leonardo de Moura
039f1de524 fix(library/data/countable): typos 2015-04-14 21:26:56 -07:00
Leonardo de Moura
9534cfe92f feat(library/data/countable): prove that (list A) is countable if A is countable 2015-04-14 21:17:18 -07:00
Leonardo de Moura
a7db8a2bac theorem(library/data/countable): prove that the product of two countable types is countable 2015-04-14 20:39:58 -07:00
Leonardo de Moura
38b880b939 feat(library/data/nat/pairing): add unpair_mkpair theorem 2015-04-14 20:28:20 -07:00
Leonardo de Moura
f7a43c7997 feat(library/data/nat/sqrt): generalize sqrt_eq theorem 2015-04-14 20:10:18 -07:00
Leonardo de Moura
faca0acd26 feat(library/data/nat/sqrt): add sqrt_eq theorem 2015-04-14 15:38:54 -07:00
Leonardo de Moura
11dbcda9d2 feat(library/data/nat/pairing): add "elegant" pairing/unpairing function 2015-04-14 09:01:15 -07:00
Leonardo de Moura
2eb7538c96 fix(library/data/nat/sqrt): adjust to reflect recent changes 2015-04-14 09:01:15 -07:00
Leonardo de Moura
4180b80df6 feat(library/data/nat/power): define power and add basic theorems 2015-04-14 09:01:15 -07:00
Leonardo de Moura
ff72a520ff feat(library/data/nat/div): add mul_cancel theorems 2015-04-14 09:01:15 -07:00
Leonardo de Moura
c73c1dbb63 feat(library/data/nat/sub): add two extra theorems 2015-04-14 09:01:15 -07:00
Leonardo de Moura
11c9bb4626 feat(library/data/nat): naive square root function 2015-04-14 09:01:15 -07:00
Leonardo de Moura
2453a6ab45 feat(library/data/countable): define countable type class 2015-04-14 09:01:15 -07:00
Leonardo de Moura
a24d4e47cd feat(library/init/nat): add missing decidable_ge and decidable_lt 2015-04-14 09:01:15 -07:00
Leonardo de Moura
82eada7d56 feat(library/data/list/basic): add find nth theorem 2015-04-14 09:01:15 -07:00
Leonardo de Moura
07e195e9f1 feat(library/data/fintype): add decidable_finite_pred instance 2015-04-12 20:07:04 -07:00
Leonardo de Moura
00d68cadc8 refactor(library/data/fintype): cleanup and mark location that exposes bug in the 'cases' tactic 2015-04-12 17:52:41 -07:00
Leonardo de Moura
f523d3a995 feat(library/data): add structure for converting a list of elements into a type, and then show the resultant type is a finite type 2015-04-12 17:33:58 -07:00
Leonardo de Moura
d9f8b0f3d7 feat(library/data/finset/comb): add cross_product to finset 2015-04-11 19:46:04 -07:00
Leonardo de Moura
4c827293a8 feat(library/data/list/perm): add perm_cross_product theorem 2015-04-11 19:13:34 -07:00
Leonardo de Moura
41ddc97e0d feat(library/data/list): define filter function for lists 2015-04-11 18:22:22 -07:00
Leonardo de Moura
c437fbe0bc feat(library/data/fintype): prove that A->B has decidable equality when A is a finite type and B has decidable equality 2015-04-11 16:45:27 -07:00
Leonardo de Moura
3df7fe120c feat(library/algebra/function): define curry and uncurry functions 2015-04-11 16:45:07 -07:00
Leonardo de Moura
3edf0dffdf feat(library/data/finset): define subset for finsets 2015-04-11 15:29:12 -07:00
Leonardo de Moura
dfef4c5daf feat(library/data): define fintype type class 2015-04-11 14:55:41 -07:00
Leonardo de Moura
06d4ae971d feat(library/data/list): add nodup_cross_product theorem 2015-04-11 14:31:01 -07:00
Leonardo de Moura
54a2d9750e refactor(library/data): simplify definition of disjoint 2015-04-11 14:04:09 -07:00
Leonardo de Moura
ee895e00dd feat(library/data/list): define cross_product for lists 2015-04-11 13:52:50 -07:00
Leonardo de Moura
fefddcd0f9 fix(library/data/list/perm): broken theorem 2015-04-11 09:42:24 -07:00
Leonardo de Moura
1b34f40f36 feat(library/data/list/set): add decidable_nodup 2015-04-11 09:39:26 -07:00
Leonardo de Moura
dff05557a3 feat(library/data/finset): add all combinator theorems 2015-04-11 09:28:27 -07:00
Leonardo de Moura
5304c5afb8 feat(library/data/list/set): add 'all' theorems 2015-04-11 09:28:05 -07:00
Leonardo de Moura
32b07c4561 feat(library/data/finset): define map for finset 2015-04-10 17:14:10 -07:00
Leonardo de Moura
a24c0bf1db feat(library/data/finset): define intersection for finsets 2015-04-10 16:45:25 -07:00
Leonardo de Moura
49d6d43926 feat(library/data/list): define intersection for lists 2015-04-10 16:31:44 -07:00
Leonardo de Moura
d59c671054 feat(library/data/list/comb): define upto list generator 2015-04-10 15:32:44 -07:00
Leonardo de Moura
9d8b5aa347 feat(library/data/list/comb): add any/all theorems 2015-04-10 07:01:14 -07:00
Floris van Doorn
d1b98b6919 fix(reserved_notation): make is_typeof an abbreviation 2015-04-10 06:35:15 -07:00
Leonardo de Moura
5caa983919 feat(library/data/finset): redefine bigop for finset 2015-04-10 06:13:32 -07:00
Leonardo de Moura
53f730ec82 feat(library/data/list/bigop): add bigop perm theorem 2015-04-10 06:01:23 -07:00
Leonardo de Moura
608e2838bf feat(library/data/list): define bigop for lists 2015-04-10 05:52:19 -07:00
Leonardo de Moura
4be8741a39 feat(library/data/list): break list/basic.lean into smaller files 2015-04-10 05:19:52 -07:00
Leonardo de Moura
a223b9b1f7 feat(library/data/finset): add bigop for finset + commutative groups 2015-04-09 20:00:00 -07:00
Leonardo de Moura
795acc70a6 refactor(library/data/finset): move finset to its own directory 2015-04-09 19:30:09 -07:00
Leonardo de Moura
ca377e5f8b feat(library/data/list/basic): add foldr/foldl theorems 2015-04-09 18:48:04 -07:00
Leonardo de Moura
b209f442f7 refactor(library/data/list) fix theorem name, and do not rely on implementation of mem 2015-04-09 16:27:48 -07:00
Leonardo de Moura
2ab2f7dc9d feat(library/data/finset): add basic support for finite sets 2015-04-09 15:51:23 -07:00
Leonardo de Moura
571ff76080 feat(library/data/list/perm): add perm_ext theorem 2015-04-09 15:27:32 -07:00
Leonardo de Moura
64173ddf93 feat(library/data/list/basic): more nodup theorems 2015-04-09 14:50:00 -07:00
Leonardo de Moura
b4611ba33d feat(library/data/list/basic): add mem erase theorems 2015-04-09 13:19:51 -07:00
Leonardo de Moura
5ba5e66665 feat(library/algebra/binary): add auxiliary theorems 2015-04-09 11:00:59 -07:00
Leonardo de Moura
d5176ebae5 refactor(library/algebra/binary): define right_commutative and left_commutative 2015-04-09 10:54:28 -07:00
Leonardo de Moura
8522fbec4b feat(library/data/list): more general theorems for perm foldl and foldr, and other minor improvements 2015-04-09 09:29:58 -07:00
Leonardo de Moura
07ff0900aa feat(library/data/list): add permutation theorems for union and insert 2015-04-08 19:02:35 -07:00
Leonardo de Moura
33422a387a feat(library/data/list/basic): define 'union' and 'insert' for lists 2015-04-08 18:12:51 -07:00
Leonardo de Moura
c95bd8ba61 feat(library/data/list): add erase_dup and theorems 2015-04-08 12:28:48 -07:00
Leonardo de Moura
05bd6b5fe7 feat(library/data/list): add foldr/foldl equality theorems for permutations 2015-04-08 10:36:05 -07:00
Jeremy Avigad
eb5089bf27 feat(library/data/set): add theory of functions and maps between sets 2015-04-08 09:46:34 -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
Jeremy Avigad
5812b35d93 feat(library/data/set/function.lean): begin theory of functions on sets 2015-04-08 09:46:34 -07:00
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