Commit graph

35 commits

Author SHA1 Message Date
Leonardo de Moura
ce21996635 feat(library): define custom recursors for nat, and minimize the use of krewrite 2015-11-08 14:04:55 -08:00
Leonardo de Moura
724aacb2c1 fix(library): remove "-[notations]" hack at "open -[notations] algebra" 2015-11-08 14:04:55 -08:00
Leonardo de Moura
26eb6fa849 feat(*): new numeral encoding 2015-11-08 14:04:55 -08:00
Leonardo de Moura
07b33ec75e fix(library/data/int,library/data/rat): int and rat 2015-11-08 14:04:54 -08:00
Leonardo de Moura
27b4eb2058 fix(library/data): hf, int, nat, pnat 2015-11-08 14:04:54 -08:00
Leonardo de Moura
3369152559 fix(library/data,library/theories): fin, bag, finset, hf, list, ... 2015-11-08 14:04:54 -08:00
Leonardo de Moura
e6d7e89419 fix(library/data/int,library/data/nat): nat and int 2015-11-08 14:04:54 -08:00
Jeremy Avigad
d9e166f77f feat/refactor(library/data/real/*): add / improve casts to real from nat, int, rat 2015-09-12 21:46:09 -04:00
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
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
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
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
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
9d83361fdc refactor(library): use subtype instead of sigma 2015-07-16 22:48:33 -04:00
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