Daniel Selsam
e7890fb456
feat(algebra/simplifier): useful simp rule sets
2015-11-12 21:23:28 -08:00
Rob Lewis
44a099f6f1
feat(norm_num): performance and style fixes
2015-11-12 20:53:37 -08:00
Rob Lewis
4bf0519843
feat(norm_num): numeral normalizer works for +, -, *, /
2015-11-12 20:53:37 -08:00
Rob Lewis
616450be64
feat(library/norm_num): extend norm_num to handle subtraction
2015-11-12 20:53:37 -08:00
Leonardo de Moura
9bedbbb739
refactor(library,hott): remove coercions between algebraic structures
...
They are classes, and mixing coercion with type class resolution is a
recipe for disaster (aka counterintuitive behavior).
2015-11-11 11:57:44 -08:00
Jeremy Avigad
697df0e68c
refactor(library/*): use type classes for div and mod
2015-11-08 14:04:59 -08:00
Jeremy Avigad
da5bd03656
refactor(library/init/nat,library/data/nat/*): chagne dots to underscores in protected names
2015-11-08 14:04:59 -08:00
Jeremy Avigad
6dfaf1863c
refactor(library/data/int/{basic,order}): protect theorem names
2015-11-08 14:04:59 -08:00
Jeremy Avigad
dc8858d764
refactor(library/init/nat,library/): protect more nat theorems
2015-11-08 14:04:59 -08:00
Jeremy Avigad
7bb2ffb79a
refactor(library/data/nat/*): protect some theorems in nat
2015-11-08 14:04:59 -08:00
Leonardo de Moura
c2ed5d3f1f
fix(library/algebra/category/constructions): make proof more robust
2015-11-08 14:04:58 -08:00
Leonardo de Moura
65d7c05737
fix(library/algebra/complete_lattice): avoid looping instances
2015-11-08 14:04:57 -08:00
Rob Lewis
958add9ef8
feat(library/norm_num): fix numeral normalization to work on new numeral structure; add support for multiplication
2015-11-08 14:04:56 -08:00
Leonardo de Moura
6df31d3406
refactor(library/data/nat/basic): mark some theorems as protected to avoid overloading
2015-11-08 14:04:56 -08:00
Leonardo de Moura
26eb6fa849
feat(*): new numeral encoding
2015-11-08 14:04:55 -08:00
Leonardo de Moura
8ee214f133
checkpoint: 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
744d1cba3d
feat(library,hott,frontends/lean): avoid keywords with hyphen
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
Leonardo de Moura
a618bd7d6c
refactor(library): use type classes for encoding all arithmetic operations
...
Before this commit we were using overloading for concrete structures and
type classes for abstract ones.
This is the first of series of commits that implement this modification
2015-11-08 14:04:54 -08:00
Leonardo de Moura
06e35b4863
fix(library/algebra/numeral): remove redundant definitions
2015-11-08 14:04:54 -08:00
Leonardo de Moura
e4f0f6a9b4
feat(library): numeral normalization skeleton
2015-10-08 12:49:12 -07:00
Sebastian Ullrich
d1b5031dbd
feat(library): add some spacing hints
2015-09-30 17:36:32 -07:00
Jeremy Avigad
aa8dfba5a5
feat/fix(library/algebra/*): add some useful theorems, fix implicit arguments
2015-09-20 20:47:30 -04:00
Rob Lewis
8fef4a95d4
chore(library/algebra/ordered_field): generalize theorem from reals
2015-09-17 16:23:22 -04:00
Rob Lewis
f5dcb1e0a9
feat(library/algebra): add missing theorems to algebra library
2015-09-16 08:28:11 -07:00
Jeremy Avigad
948cdee366
feat(library/algebra/ordered_group): add variant of triangle inequality
2015-09-12 21:46:09 -04:00
Jeremy Avigad
1affeec3c6
fix(library/algebra/ordered_filed): rename theorems
2015-09-12 21:46:09 -04:00
Rob Lewis
8d1f449491
refactor(library/data/real): move and rename theorems
2015-09-11 08:52:53 -07:00
Leonardo de Moura
3c1d6ec67a
feat(library/algebra/algebra): add link to complete lattices module
2015-09-04 13:04:36 -07:00
Sebastian Reuße
f8a773be11
chore(library/algebra): remove obsolete link.
2015-09-04 09:41:34 +02:00
Jeremy Avigad
2ab7928257
refactor(library/data/set/basic): standardize intro and elim theorem names
2015-09-03 15:38:27 -07:00
Jeremy Avigad
51e0d31304
refactor(library/algebra/ordered_ring,ordered_field): move theorems from ordered_field to ordered_ring
2015-09-01 14:47:19 -07:00
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
93c2d1e9d0
refactor(library/algebra/ordered_field): rename theorems to maintain consistency with other parts of the library
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
e416291135
feat(library/algebra/*,library/data/*): small additions and changes
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
f9f4cd2197
feat(library/algebra/ordered_field,library/data/int/div): prove sign a = a / abs a
2015-08-14 18:49:57 -07:00
Leonardo de Moura
cb9830beaf
refactor(library/logic/choice): move prop_decidable instance into namespace 'classical'
2015-08-12 17:06:15 -07:00
Leonardo de Moura
f9b2b93f7a
refactor(library/algebra/complete_lattice): add alternative definitions of complete_lattice and convertions between them
2015-08-09 20:40:07 -07:00
Jeremy Avigad
b130a144c8
feat(library/data/set/filter): add filters, show they form a complete lattice
2015-08-09 22:14:25 -04:00
Jeremy Avigad
eca3437388
refactor(library/algebra/ring): add alternate names for dvd.intro, dvd.intro_left
2015-08-09 22:13:18 -04:00
Leonardo de Moura
7ddcfa5225
feat(library/algebra/complete_lattice): add basic theorems for complete_lattices
2015-08-08 23:18:36 -07:00
Jeremy Avigad
f97298394b
feat(library/data/nat/bigops,library/data/set/card,library/*): add set versions of bigops for nat
...
This required splitting data/set/card.lean from data/set/finite.lean, to avoid dependencies
2015-08-08 17:20:23 -04:00
Leonardo de Moura
ecf9c825ac
feat(library/algebra/complete_lattice): add 'complete_lattice' structure
2015-08-08 07:38:49 -07:00
Jeremy Avigad
fce042ef79
feat(library/algebra/group_set_bigops.lean): add set versions of bigops
2015-08-08 04:23:52 -07:00
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
Rob Lewis
00262e4e47
feat(library/algebra): finish adding one-directional versions of iff theorems
2015-08-07 13:30:23 -07:00
