Commit graph

1206 commits

Author SHA1 Message Date
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