Jeremy Avigad
9249ebdaab
feat(library/data/{nat,int}/div.lean): add properties of add and mod
2015-06-15 22:53:11 +10:00
Jeremy Avigad
a4a8253f50
refactor(library,hott,tests): rename succ_inj to succ.inj, add abbreviation eq_of_succ_eq_succ
2015-06-15 22:52:38 +10:00
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
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
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
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
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
c2aa8c6720
feat(library/data/finset/partition.lean): add theory of partitions into finsets by Haitao Zhang
2015-06-05 09:32:00 -07:00
Floris van Doorn
ff41886a32
feat(nat/bquant): give instances for quantification bounded with le
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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
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
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
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
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
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
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
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
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
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
Leonardo de Moura
6db08c5519
test(library): test new tactics in the standard library
2015-05-25 16:48:33 -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
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
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
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
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
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