Jeremy Avigad
4a36f843f7
refactor(library/algebra/group_power,library/*): change definition of pow
...
I changed the definition of pow so that a^(succ n) reduces to a * a^n rather than a^n * a.
This has the nice effect that on nat and int, where multiplication is defined by recursion on the right,
a^1 reduces to a, and a^2 reduces to a * a.
The change was a pain in the neck, and in retrospect maybe not worth it, but oh, well.
2015-08-14 18:49:57 -07:00
Leonardo de Moura
aa2a417483
feat(library/data/hf): add induction and total order for hf
2015-08-13 14:11:44 -07:00
Leonardo de Moura
f4a81fdd73
fix(library/data): powerset notation
2015-08-13 09:04:00 -07:00
Leonardo de Moura
51c48277c8
feat(library/data/hf): add hf.powerset
2015-08-13 08:52:45 -07:00
Leonardo de Moura
d2eb99bf11
refactor(library/logic): move logic/choice.lean to init/classical.lean
...
choice axiom is now in the classical namespace.
2015-08-12 18:37:33 -07:00
Leonardo de Moura
6fd3affeb1
feat(library/data/finset/equiv): show that (finset nat) is isomorphic to nat
2015-08-11 15:54:14 -07:00
Leonardo de Moura
a5615a6ea7
feat(library/data/finset/equiv): start bijection from (finset nat) to nat
2015-08-10 19:42:09 -07:00
Jeremy Avigad
8f815cabc0
refactor(library/data/finset/comb,library/data/set/basic,library/*): rename 'filter' to 'sep' to free up 'set.filter'
2015-08-08 18:10:44 -04:00
Jeremy Avigad
eaf886cb5a
refactor(library/algebra/group_bigops,library/*): put group_bigops in 'finset' namespace, in preparation for set versions
2015-08-08 04:23:52 -07:00
Jeremy Avigad
31eed7faea
feat(library/data/set,finset): finish porting properties of card to sets
2015-08-08 04:23:52 -07:00
Leonardo de Moura
06f20694c8
fix(frontends/lean/builtin_exprs): fixes #768
2015-08-08 04:20:17 -07:00
Jeremy Avigad
7df59d8b12
feat(library/data/set/finite): add more finiteness facts
2015-08-07 13:45:16 -07:00
Jeremy Avigad
d6bde18b46
feat,refactor(library/data/{finset,set}/*,src/emacs/lean-input.el): add powerset and notation, and some tidying
2015-08-07 13:45:15 -07:00
Jeremy Avigad
7b4ebb9866
feat,refactor(library/data/finset/*): add priorities for finset notation, add some theorems
2015-08-07 13:45:15 -07:00
Leonardo de Moura
1f304ad4b9
fix(frontends/lean/pp): pretty printing 'binder'
...
This commit also replaces many occurrences of 'binders' with 'binder'.
2015-07-31 11:27:38 -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
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
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
Mario Carneiro
066b0fcdf9
feat(library): clean up "sorry"s in library
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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
946308b187
feat(frontends/lean): allow anonymous 'have'-expressions in tactic mode
2015-07-23 18:52:59 -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
3e3d37905c
refactor(library/data): cleanup proofs using new features
2015-07-21 08:26:44 -07:00
Leonardo de Moura
ade60278d0
refactor(library): rename iff.mp' to iff.mpr
2015-07-18 08:52:58 -05:00
Haitao Zhang
ca895e4901
fix(library/data/finset/partition): improve lemmas on binary partition
2015-07-16 14:13:06 -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
ebe6ec0017
feat(library): add '[rewrite]' annotation some some theorems
2015-07-13 16:39:53 -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
Leonardo de Moura
9f7c4aac69
feat(library): add helper lemmas for equivalent types
2015-07-06 12:17:57 -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
Jeremy Avigad
7d204fdd91
refactor(library/data/finset/card.lean): add useful facts, shorter proof of eq_card_of_eq_subset
2015-06-20 21:13:00 -07:00
Leonardo de Moura
ee0d919c6f
feat(library/data/finset/card): add eq_of_card_eq_of_subset theorem
2015-06-19 20:05:32 -07:00
Leonardo de Moura
2910c780d0
feat(library/data/finset/basic): add auxiliary card lemma
2015-06-19 20:05:32 -07:00
Leonardo de Moura
4246a64913
feat(library/data/finset/basic): add more theorems for finset erase
2015-06-19 20:05:32 -07:00
Leonardo de Moura
70fc05294b
refactor(library/local_context): avoid hack in local_context
2015-06-18 15:41:00 -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
8fbe22f263
refactor(library/data/finset/basic): cleanup proof
2015-06-10 18:19:16 -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
370860e1b0
feat(library/data/fintype,finset): add cardinality for finite types from Haitao Zhang
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
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
2a6ea2c6fb
feat(library/data/finset/to_set): add to_set.inj
2015-06-03 14:05:43 -07:00
Jeremy Avigad
82142b60f0
refactor(library/data/finset/basic.lean): remove finset / finset.finset duplicate
2015-06-01 12:35:44 +10:00
Jeremy Avigad
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
7c92161e49
refactor(library/data/finset/basic.lean): change order of arguments to induction tactic
2015-05-25 16:50:42 -07:00