Jeremy Avigad
de83a68667
refactor(library/data/{int,rat}/*): clean up casts between nat, int, and rat
2015-09-12 21:46:09 -04:00
Jeremy Avigad
7d72c9b6b5
refactor(library/algebra/{field,ordered_field}, library/*): more renaming, setting implicit arguments
...
Many theorems for division rings and fields have stronger versions for discrete fields, where we
assume x / 0 = 0. Before, we used primes to distinguish the versions, but that has the downside
that e.g. for rat and real, all the theorems are equally present. Now, I qualified the weaker ones
with division_ring.foo or field.foo. Maybe that is not ideal, but let's try it.
I also set implicit arguments with the following convention: an argument to a theorem should be
explicit unless it can be inferred from the other arguments and hypotheses.
2015-09-01 14:47:19 -07:00
Jeremy Avigad
7dda69fec7
feat/refactor(library/theories/number_theory/irrational_roots,library/*): show nth roots irrational, and add lots of missing theorems
2015-08-16 23:23:23 -04:00
Jeremy Avigad
c83d592c17
feat(library/theories/number_theory/square_root_irrational): add proof that sqrt 2 is irrational
2015-08-14 18:49:57 -07:00
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
Jeremy Avigad
244052b413
refactor(library/data/set/*): rename setext to ext
2015-08-09 22:14:25 -04:00
Jeremy Avigad
209d7b07aa
feat(library/data/set/basic): add a few theorems
2015-08-09 22:13:18 -04:00
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
Leonardo de Moura
06f20694c8
fix(frontends/lean/builtin_exprs): fixes #768
2015-08-08 04:20:17 -07:00
Jeremy Avigad
0def951efa
refactor(library/data/nat/sub,*): get rid of diff, tidy some max and min theorems
2015-08-03 22:41:56 -04:00
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
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
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
c9d6cc5255
feat(library/data/{finset,set}): various basic facts
2015-07-25 14:02:44 -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
cc396cba76
feat(frontends/lean): allow backticks in binder declarations
2015-07-22 13:54:47 -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
b9451549d1
feat(frontends/lean): add type notation for referencing hypotheses
2015-07-20 21:43:47 -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
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
Leonardo de Moura
89f69630b6
feat(library): use sigma instead of exists (experimental)
2015-07-15 15:49:47 -04:00
Jeremy Avigad
70407473c2
feat(library/theories/combinatorics/choose): begin theory of binomial coefficients
2015-07-11 19:01:43 -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
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
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
Jeremy Avigad
54128eb45f
feat(library/theories/number_theory/bezout): add Bezout's theorem, adapted from William Peterson's project
2015-06-27 19:13:36 +10:00
Jeremy Avigad
4db89e16dc
feat(library/theories): create theories folder
2015-06-05 09:32:00 -07:00
