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