Leonardo de Moura
3b742c5d69
refactor(library/data/real/complete): use 'em' instead of 'decidable.em'
...
It is slightly faster since it avoids type class resolution.
It looks more readable too.
Note that em is not axiom anymore. It is a theorem based on choce.
2015-07-31 10:57:53 -07:00
Leonardo de Moura
381c3d5e35
feat(library/data/vec): transfer more theorems from list to vec
2015-07-31 09:59:58 -07:00
Leonardo de Moura
a53ac25ca8
chore(library): remove outdated comments
2015-07-31 08:37:24 -07:00
Rob Lewis
01af780b6e
feat(library/data/real): clean up proof of supremum property
2015-07-31 08:28:37 -07:00
Rob Lewis
1693932c9f
feat(library/algebra/group): add theorem to comm group
2015-07-31 08:28:37 -07:00
Rob Lewis
0c65468db3
feat(library/data/real): remove remaining sorrys from proof of supremum property
2015-07-31 08:28:36 -07:00
Rob Lewis
25aa5b3939
feat(library/data/nat): define least function for nat
2015-07-31 08:28:36 -07:00
Rob Lewis
7d6b595289
feat(library/data/real): complete proof of the supremum property pending two integer theorems
2015-07-31 08:28:36 -07:00
Rob Lewis
954e30b59a
feat(library/data/real): add more theorems to reals
2015-07-31 08:28:36 -07:00
Rob Lewis
f929f82cb4
feat(library/data/real): fill in remaining sorrys in supremum property proof
2015-07-31 08:28:36 -07:00
Rob Lewis
f88038c3e7
feat(library/algebra/field): add missing theorems to field
2015-07-31 08:28:36 -07:00
Rob Lewis
b4b08aca32
feat(library/data/real): more progress toward supremum property
2015-07-31 08:28:26 -07:00
Rob Lewis
2fdf1e599e
feat(library/algebra/ordered_group): add missing theorems to ordered group
2015-07-31 09:10:57 -04:00
Rob Lewis
ebbad9e70d
chore(library/data/real): fill in sorrys in supremum property proof
2015-07-31 09:10:57 -04:00
Rob Lewis
c9daf7cbb9
feat(library/algebra/ordered_field): add missing theorems to ordered field
2015-07-31 09:10:57 -04:00
Rob Lewis
7a4947cfe1
feat(library/algebra/real): significant progress toward supremum property
2015-07-31 09:10:57 -04:00
Rob Lewis
601f824baf
feat(library/data/real): compare a real and a sequence pointwise to compare two reals
2015-07-31 09:10:57 -04:00
Rob Lewis
d63010b7df
feat(library/data/real): prove more about embedding Q into R
2015-07-31 09:10:57 -04:00
Rob Lewis
a670f21e78
feat(library/data/real): begin proving supremum property
2015-07-31 09:10:57 -04:00
Rob Lewis
3a97079920
feat(library/data/real): finish coercions from rat to real
2015-07-31 09:10:56 -04:00
Leonardo de Moura
811bae5566
feat(library/data/vec): expand vec
2015-07-30 23:17:01 -07:00
Leonardo de Moura
8dc2246a83
refactor(library/theories/group_theory/action): improve compilation time
2015-07-30 20:58:38 -07:00
Leonardo de Moura
44518fcab1
refactor(library/theories/group_theory): move diff to nat
2015-07-30 20:14:48 -07:00
Leonardo de Moura
0a29581b0e
feat(library/data/vec): add more theorems to vec (vectors as subtypes)
2015-07-30 18:09:10 -07:00
Leonardo de Moura
be61fb0566
feat(frontends/lean/elaborator): add "noncomputable theory" command, display "noncomputable" when printing definitions
...
When the command "noncomputable theory" is used, Lean will not sign an
error when a noncomputable definition is not marked as noncomputable
2015-07-29 17:54:35 -07:00
Leonardo de Moura
88c659c54e
feaf(library): make sure basic standard library can be compiled with option "--to_axiom"
...
We use this option to erase proofs when generating the javascript
version. The proofs are erased to minimize the size of the file that
must be downloaded by users
2015-07-29 16:11:23 -07:00
Leonardo de Moura
82836fe9e0
feat(library/init/logic): make sure standard library can be compiled when proofs are erased
2015-07-29 15:00:50 -07:00
Leonardo de Moura
bbd6946a15
refactor(library/logic/axioms): we have only one extra axiom
2015-07-29 13:36:23 -07:00
Leonardo de Moura
6dbcf86fd4
feat(library/logic/axioms): use diaconescu to prove em
...
With the new "noncomputable" feature we can use Hilbert's choice without
being concerned it may accidentaly "leak" inside definitions we don't
want to use it.
2015-07-29 13:01:07 -07:00
Leonardo de Moura
0bda39c8ac
feat(frontends/lean): check for noncomputability when moving theorems from theorem_queue to environment
2015-07-29 13:01:07 -07:00
Leonardo de Moura
69ead0ddd8
feat(frontends/lean/decl_cmds): reject unnecessary "noncomputable" annotations
2015-07-29 13:01:07 -07:00
Leonardo de Moura
308af87b69
feat(library): add 'noncomputable' keyword for the standard library
2015-07-28 21:56:35 -07:00
Leonardo de Moura
cfa9412f96
fix(frontends/lean): "show goal" localization, add "position", support "by tactic"
2015-07-28 12:48:12 -07:00
Jeremy Avigad
d02b83b6d6
feat(library/theories/number_theory/prime_factorization): prove that n is equal to its prime factorization
2015-07-27 15:16:16 -07:00
Jeremy Avigad
6355670ac4
fix(library/data/nat/nat.md): add 'find' to markdown file
2015-07-27 07:46:59 -07:00
Jeremy Avigad
3fc74c2ba8
feat(library/theories/combinatorics/choose): show the number of subsets of s of size k is choose (card s) k
2015-07-27 07:46:59 -07:00
Jeremy Avigad
471c9058eb
fix/feat(library/logic/connectives,library/data/{finset,set}): fix names or.left_distrib etc., fix implicit arguments, and make small additions
2015-07-27 07:46:59 -07:00
Leonardo de Moura
a124bc246a
feat(library/data/fin): add equivalences between fin types
2015-07-26 15:42:39 -07:00
Leonardo de Moura
d95e3c1e1d
feat(library/data/equiv): basic equivalences
2015-07-26 13:06:01 -07:00
Leonardo de Moura
72d6550a7a
feat(library/data/bag): show that subbag predicate is decidable when A has decidable equality
2015-07-25 17:44:03 -07:00
Leonardo de Moura
31b1606658
feat(library/data/bag): add subbag predicate
2015-07-25 14:31:24 -07:00
Leonardo de Moura
a883b72a25
fix(library/data): 'choose' -> 'find' renaming problems
2015-07-25 11:25:04 -07:00
Jeremy Avigad
1cc6be6052
feat(library/data/finset/comb): define powerset
2015-07-25 14:02:44 -04:00
Jeremy Avigad
c9d6cc5255
feat(library/data/{finset,set}): various basic facts
2015-07-25 14:02:44 -04:00
Jeremy Avigad
9cd7db3fea
fix(library/data/list/perm): fix typo in theorem names
2015-07-25 14:02:44 -04:00
Jeremy Avigad
d3cd0bb8ff
refactor(library/data/nat/find): rename 'choose' to 'find' to avoid conflict with combinatorics 'choose'
2015-07-25 14:02:44 -04:00
Leonardo de Moura
43f5f70414
feat(library/data/bag): add basic properties for bag intersection and union
2015-07-25 08:37:30 -07:00
Leonardo de Moura
ebf8c7fbdb
feat(library/data): define bag using quotients
2015-07-24 23:45:08 -07:00
Leonardo de Moura
8be82d7405
feat(data/list): add count for lists
2015-07-24 23:44:11 -07:00
Leonardo de Moura
99a9dec93f
refactor(library/data/real/basic): declare 'real' in the toplevel like 'nat', 'int' and 'rat'
2015-07-24 11:59:46 -07:00
Leonardo de Moura
5c7a20e5bd
fix(library/unifier): crash when unifying constraints of the form (pr t =?= s)
...
where pr is a projection and t is a stuck term
see issue #737
2015-07-24 11:52:46 -07:00
Leonardo de Moura
0f2c0b6512
feat(library/data/real/basic): replace 'have ... [visible]' with 'assert ...'
...
Remove comments about "sorry"s. Mario has fixed all of them.
2015-07-24 10:07:16 -07:00
Mario Carneiro
066b0fcdf9
feat(library): clean up "sorry"s in library
...
Breaking changes: pnat was redefined to use subtype instead of a custom inductive type, which affects the notation for pnat 2 and 3
2015-07-24 12:21:33 -04:00
Leonardo de Moura
e221d38790
feat(library/tactic/assert_tactic): allow duplicate names for hypotheses in assert tactic
2015-07-23 18:52:59 -07:00
Leonardo de Moura
946308b187
feat(frontends/lean): allow anonymous 'have'-expressions in tactic mode
2015-07-23 18:52:59 -07:00
Leonardo de Moura
86e9002b66
doc(library/logic/axioms/examples): add alternative proof for has_left_inverse_of_injective
2015-07-22 22:11:13 -07:00
Leonardo de Moura
18dd7c13f9
feat(frontends/lean): add '[congr]' attribute
2015-07-22 17:21:47 -07:00
Leonardo de Moura
cc396cba76
feat(frontends/lean): allow backticks in binder declarations
2015-07-22 13:54:47 -07:00
Leonardo de Moura
fbaa8b21f6
refactor(library/data/nat): cleanup for the tutorial
2015-07-22 13:41:50 -07:00
Leonardo de Moura
e969c7a8d6
refactor(library): remove 'simp' hack
2015-07-22 10:13:19 -07:00
Leonardo de Moura
092c8d05b9
feat(frontends/lean,library): rename '[rewrite]' to '[simp]'
2015-07-22 09:01:42 -07:00
Leonardo de Moura
0de715ae54
refactor(library/data): cleanup proofs using new features
2015-07-21 09:57:10 -07:00
Leonardo de Moura
3e3d37905c
refactor(library/data): cleanup proofs using new features
2015-07-21 08:26:44 -07:00
Leonardo de Moura
ff425b66e7
feat(library/data/list): test type notation in the standard library
2015-07-20 22:00:05 -07:00
Leonardo de Moura
b9451549d1
feat(frontends/lean): add type notation for referencing hypotheses
2015-07-20 21:43:47 -07:00
Leonardo de Moura
10e5b182b5
refactor(library/data): use "suppose"-expressions to cleanup proofs
2015-07-20 19:45:54 -07:00
Leonardo de Moura
8ad6312764
feat(library/hlist): add helper eq.rec lemmas
2015-07-20 14:56:50 -07:00
Leonardo de Moura
0a8bab14ee
feat(library/data/vector): add helper lemmas for proving v == w when v and w are vectors
2015-07-20 11:59:03 -07:00
Leonardo de Moura
48f8b8f18d
refactor(library): use new 'suppose'-expression
2015-07-19 21:15:20 -07:00
Leonardo de Moura
c2fc612ec1
fix(library/data/nat/order): add missing theorems back
2015-07-19 20:21:25 -07:00
Leonardo de Moura
6936d71030
feat(library/data/list/basic): add 'firstn' definition and theorems
2015-07-19 20:15:40 -07:00
Leonardo de Moura
d2f64d7744
feat(library/data/nat/order): add 'max/min' auxiliary theorems
2015-07-19 20:15:11 -07:00
Leonardo de Moura
d91627ebec
refactor(library): move 'max/min' to 'data/nat'
2015-07-19 19:47:14 -07:00
Leonardo de Moura
01169ca2a8
feat(library/data/hlist): add heterogeneous lists
2015-07-19 14:33:15 -07:00
Leonardo de Moura
73f665dce3
refactor(library/data/list/perm): use anonymous 'suppose' and 'have' expressions
2015-07-19 12:35:12 -07:00
Leonardo de Moura
812ddf1ef5
feat(frontends/lean): add 'suppose'-expression
...
It is a variant of 'assume' that allow anonymous declarations.
2015-07-19 12:15:12 -07:00
Leonardo de Moura
92f8eb173b
feat(frontends/lean): use 'this' as the name for anonymous 'have'-expression
2015-07-18 13:36:05 -05:00
Leonardo de Moura
784184a137
chore(library/theories/number_theory/primes): remove unnecessary "have"
2015-07-18 12:48:07 -05:00
Leonardo de Moura
ade60278d0
refactor(library): rename iff.mp' to iff.mpr
2015-07-18 08:52:58 -05:00
Leonardo de Moura
16f50d9aea
feat(library/data/list/basic): add list.is_inhabited
2015-07-17 06:52:43 -04:00
Leonardo de Moura
c0cd72fc8d
chore(library/theories/group_theory): remove dangling "check"s
2015-07-16 22:50:02 -04:00
Leonardo de Moura
9d83361fdc
refactor(library): use subtype instead of sigma
2015-07-16 22:48:33 -04:00
Leonardo de Moura
d70c79f4e3
refactor(library/data/fin,library/theories/group_theory/cyclic): fixes #735
2015-07-16 19:39:12 -04:00
Haitao Zhang
ca895e4901
fix(library/data/finset/partition): improve lemmas on binary partition
2015-07-16 14:13:06 -07:00
Haitao Zhang
a04c6b0c7d
feat(library/theories/group_theory): Group and finite group theories
...
subgroup.lean : general subgroup theories, quotient group using quot
finsubg.lean : finite subgroups (finset and fintype), Lagrange theorem,
finite cosets and lcoset_type, normalizer for finite groups, coset product
and quotient group based on lcoset_type, semidirect product
hom.lean : homomorphism and isomorphism, kernel, first isomorphism theorem
perm.lean : permutation group
cyclic.lean : cyclic subgroup, finite generator, order of generator, sequence and rotation
action.lean : fixed point, action, stabilizer, orbit stabilizer theorem, orbit partition,
Cayley theorem, action on lcoset, cardinality of permutation group
pgroup.lean : subgroup with order of prime power, Cauchy theorem, first Sylow theorem
2015-07-15 20:02:11 -07:00
Haitao Zhang
5ffcd2a2d8
feat(library/algebra/group): add definitions and lemmas of conjugation
2015-07-15 19:36:18 -07:00
Haitao Zhang
f4cbd98692
feat(library/algebra/group): add theorem eq_inv_of_mul_eq_one
2015-07-15 18:43:47 -07:00
Haitao Zhang
9ba350098f
feat(library/data): add a few convenience lemmas
2015-07-15 17:44:37 -07:00
Haitao Zhang
8dc45686ff
feat(library/data/finset/partition): add theory of binary partition
2015-07-15 17:44:36 -07:00
Leonardo de Moura
89f69630b6
feat(library): use sigma instead of exists (experimental)
2015-07-15 15:49:47 -04:00
Haitao Zhang
721d3781ca
feat(library/data/list/basic): add a lemma length_pos_of_mem
2015-07-15 14:49:53 -04:00
Haitao Zhang
9d523bae6b
feat(library/data/fin): add more fin definition and lemmas
2015-07-15 14:49:53 -04:00
Haitao Zhang
516333ad65
feat(library/algebra/group_bigops): add Prodl theorems
2015-07-15 14:49:53 -04:00
Leonardo de Moura
3ab0e07ba9
feat(frontends/lean): add simp tactic frontend stub
...
This commit also removes the fake_simplifier. It doesn't work anymore
because simp is now a reserved word.
2015-07-14 09:54:53 -04:00
Haitao Zhang
5034de9c4e
feat(library/data/nat/power): add nat power divide theorems
2015-07-13 22:02:17 -04:00
Haitao Zhang
fae8176363
feat(library/data/list/comb): add map theorems
2015-07-13 22:02:17 -04:00
Leonardo de Moura
267545ca0c
feat(frontends/lean): parse 'with_options' tactical
...
see issue #492
2015-07-13 19:13:41 -04:00
Leonardo de Moura
6ab5cf214c
feat(library,hott): add simp tactic reference
2015-07-13 18:01:40 -04:00
Leonardo de Moura
ebe6ec0017
feat(library): add '[rewrite]' annotation some some theorems
2015-07-13 16:39:53 -04:00
Leonardo de Moura
1881ad0aef
feat(library/logic/weak_fan): add weak_fan theorem
2015-07-13 10:18:12 -04:00
Leonardo de Moura
ea62a27b6b
feat(library/data/stream): define lex-order for streams
2015-07-12 16:55:04 -04:00
Jeremy Avigad
98cace9bf8
fix(library/data/finset/bigops): remove extraneous parameter
2015-07-11 19:01:44 -04:00
Jeremy Avigad
9810105a2a
refactor(library/data/finste/basic): rename non_empty_of_card_succ to ne_empty_of_card_eq_succ
2015-07-11 19:01:44 -04:00
Jeremy Avigad
d443b25dee
fix(library/data/{finset,set}/basic: change notation from {[a, b, c]} to '{a, b, c}
2015-07-11 19:01:44 -04:00
Jeremy Avigad
e8ad284ead
feat(library/data/finset/{bigops,comb}): add two theorems for Haitao
2015-07-11 19:01:43 -04:00
Jeremy Avigad
70407473c2
feat(library/theories/combinatorics/choose): begin theory of binomial coefficients
2015-07-11 19:01:43 -04:00
Leonardo de Moura
8e8e08cfe7
feat(library/tactic): use occurrence object in unfold tactic family
2015-07-11 18:53:45 -04:00
Leonardo de Moura
d939509135
doc(library/data/nat/examples): add tail recursive fib example
2015-07-10 20:38:07 -04:00
Leonardo de Moura
fc82b46171
chore(library/data/nat/examples/fib): cleanup example
2015-07-10 08:18:30 -04:00
Leonardo de Moura
32cc2e917b
doc(library/data/nat/examples): add examples
2015-07-09 21:56:48 -04:00
Leonardo de Moura
a9515ac7a4
feat(library/tactic/rewrite_tactic): try to fold nested recursive applications after unfolding a recursive function
...
See issue #692 .
The implementation still has some rough spots.
It is not clear what the right semantic is.
Moreover, the folds in e_closure could not be eliminated automatically.
2015-07-08 21:19:18 -04:00
Jeremy Avigad
7f1993be41
feat(library/theories/number_theory/prime_factorization): begin theory, with multiplicity and prime_factors
2015-07-07 21:05:48 -07:00
Jeremy Avigad
ac7f7cee63
refactor(library/theories/number_theory/primes): add some minor theorems, and rename some theorems
2015-07-07 21:05:48 -07:00
Jeremy Avigad
d9098ff4e5
fix(library/theories/number_theory/bezout): make duplicate proof of prime -> irreducible an example
2015-07-07 21:05:48 -07:00
Jeremy Avigad
2e3b1b04cd
feat(library/algebra/ring_power): add properties of power in ring structures
2015-07-07 21:05:48 -07:00
Jeremy Avigad
31aeff95d5
refactor(library/algebra/ordered_ring): remove 0 ~= 1 from ordered_semiring, add 0 < 1 to linear_ordered_semiring
2015-07-07 21:05:48 -07:00
Jeremy Avigad
e35f05ad47
feat(library/data/nat/order): add greatest i < n st P i
2015-07-07 21:05:48 -07:00
Leonardo de Moura
4b1b3e277f
feat(frontends/lean): rename '[unfold-c]' to '[unfold]' and '[unfold-f]' to '[unfold-full]'
...
see issue #693
2015-07-07 16:37:06 -07:00
Leonardo de Moura
0828ca775c
feat(library/data): add type equivalence lemmas for subtype and vector
2015-07-06 12:44:51 -07:00
Leonardo de Moura
9f7c4aac69
feat(library): add helper lemmas for equivalent types
2015-07-06 12:17:57 -07:00
Leonardo de Moura
01ba0b4747
feat(library/logic/equiv): add equivalence between types
...
This is a good test for the simplifier
2015-07-06 11:17:03 -07:00
Leonardo de Moura
77d5657813
refactor(library/algebra/function): move function.lean to init folder
...
Motivation: this file defines basic things such as function composition.
In the HoTT library, it is located in the init folder.
2015-07-06 07:29:56 -07:00
Leonardo de Moura
9ccd8ff700
feat(library/data/nat/parity): cleanup proofs
2015-07-05 09:35:15 -07:00
Leonardo de Moura
db1fae0461
feat(library/theories/number_theory/primes): cleanup proofs
2015-07-05 08:21:16 -07:00
Leonardo de Moura
d1b5a6be54
feat(library/theories/number_theory/primes): add Haitao's divisor_of_prime_pow lemma
2015-07-04 13:27:10 -07:00
François G. Dorais
10b55bd785
feat(library/data/fin): add proof of finite choice
2015-07-04 09:58:18 -07:00
Leonardo de Moura
f4f77e7f0b
feat(library): move data/nat/primes to theories/number_theory
2015-07-04 09:49:14 -07:00
Jeremy Avigad
a776e13c3b
feat(library/theories/number_theory/bezout): for nat, irreducible implies prime
2015-07-04 22:56:55 +10:00
Leonardo de Moura
aee8bd8b0c
feat(library/data/nat): add coprime_primes theorem
2015-07-04 00:37:09 -07:00
Leonardo de Moura
e630511184
feat(library/data/nat/primes): add more simple theorems for primes
2015-07-03 23:31:04 -07:00
Leonardo de Moura
30ef971bc0
feat(library/data/nat): add basic facts about parity
2015-07-03 17:38:23 -07:00
Leonardo de Moura
1bdc9e0747
feat(library/data/finset/card): add dvd_Sum_of_dvd
2015-07-03 14:01:15 -07:00
Leonardo de Moura
339a7334f8
feat(library/data/finset/card): add exists_two_of_card_gt_one
2015-07-03 14:01:15 -07:00
Leonardo de Moura
aa2a5b6282
feat(library/data/nat/primes): add infinite primes theorem
2015-07-03 00:31:54 -07:00
Leonardo de Moura
372d17ab96
refactor(library/data/nat/primes): rename is_prime to prime
2015-07-02 23:21:10 -07:00
Leonardo de Moura
d76edf331b
feat(library/data/nat/bquant): add not bex and not ball lemmas
2015-07-02 23:18:02 -07:00
Leonardo de Moura
e811bb1a66
chore(library/data/nat/default): add new files to nat/default
2015-07-02 22:28:51 -07:00
Leonardo de Moura
5917a26554
feat(library/data/nat/primes): add is_prime
2015-07-02 22:27:51 -07:00
Leonardo de Moura
072fa7ec49
feat(library/data/nat): add aux lemmas
2015-07-02 22:27:21 -07:00
Leonardo de Moura
e33946ff02
feat(library/data/nat/fact): define factorial
2015-07-02 20:25:34 -07:00
Leonardo de Moura
4ae9f3ea81
feat(library/coercion): new coercion manager
...
closes #668
2015-07-01 16:32:34 -07:00
Leonardo de Moura
0f64a6e545
feat(library/data/rat/order): use 'trans-instance' to improve performance of migrate command
2015-07-01 08:57:10 -07:00
Leonardo de Moura
14f7e3de94
fix(library/algebra): missing file
2015-06-30 18:15:13 -07:00
Leonardo de Moura
cf574d0127
feat(library): assign priorities to notation declarations in the standard library
...
Now, even if the user opens the namespaces in the "wrong" order, the
notation + coercions will behave as expected.
2015-06-30 17:38:13 -07:00
Leonardo de Moura
b5444c1314
refactor(frontends/lean/builtin_cmds): allow "constant" edges in the instance transitive closure graph
2015-06-29 18:57:05 -07:00
Jeremy Avigad
e6ce5d9b72
refactor(library/data/fin): put fin.val coercion in fin namespace
2015-06-29 21:24:38 +10:00
Jeremy Avigad
a54fb42f87
refactor(library/data/int/basic): put int.of_nat coercion in int namespace
2015-06-29 21:00:42 +10:00
Jeremy Avigad
130eb3f6d9
fix(library/data/int/basic): change notation from -[n+1] to -[1+n] to avoid conflict e.g. with -[coercions]
2015-06-29 15:23:11 +10:00
Jeremy Avigad
3bf18c174e
feat(library/algebra/ordered_group): define abs in terms of max, make some theorems constructively valid
2015-06-29 15:23:11 +10:00
Jeremy Avigad
b19331f28f
feat(library/data/nat/order): add theorems for max and min
2015-06-29 15:23:11 +10:00
