Daniel Selsam
30b1b79c4e
fix(algebra/simplifier): update numeral simp rules
2015-11-16 09:12:29 -08:00
Leonardo de Moura
0dc31227f8
feat(library/init/logic): mark ne reducible
2015-11-15 15:09:02 -08:00
Daniel Selsam
4ba6b4f3f1
fix(algebra/simplifier): reference norm_num namespace
2015-11-12 21:28:11 -08:00
Daniel Selsam
00a5cd519e
feat(algebra/simplifier): simp rule set for units
2015-11-12 21:23:28 -08:00
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
François G. Dorais
fc6b41ee0e
fix(algebra/group_power): change notation suggested by @avigad
2015-08-04 16:23:31 -04:00
François G. Dorais
155e22c92c
feat(library/algebra/group_power): add times (additive variant of power)
2015-08-04 16:23:31 -04:00
Jeremy Avigad
9ff0097223
refactor(library/algebra/{lattice,order},library/data/nat): split lattice from order, make nat an instance of discrete linear order
2015-08-03 22:41:56 -04:00
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
François G. Dorais
131b344519
feat(library/algebra/group_power): add times (additive variant of power)
2015-08-04 01:58:57 +02:00
Rob Lewis
e004ed8cba
feat(library/algebra): add one directional versions of iff theorems
2015-08-03 17:16:18 -04:00
Rob Lewis
82a9bc757a
feat(library/algebra): move theorems from real to algebra
2015-08-03 15:01:32 -04:00
Leonardo de Moura
a53ac25ca8
chore(library): remove outdated comments
2015-07-31 08:37:24 -07:00
Rob Lewis
1693932c9f
feat(library/algebra/group): add theorem to comm group
2015-07-31 08:28:37 -07:00
Rob Lewis
f929f82cb4
feat(library/data/real): fill in remaining sorrys in supremum property proof
2015-07-31 08:28:36 -07:00
Rob Lewis
f88038c3e7
feat(library/algebra/field): add missing theorems to field
2015-07-31 08:28:36 -07:00
Rob Lewis
2fdf1e599e
feat(library/algebra/ordered_group): add missing theorems to ordered group
2015-07-31 09:10:57 -04:00
Rob Lewis
c9daf7cbb9
feat(library/algebra/ordered_field): add missing theorems to ordered field
2015-07-31 09:10:57 -04:00
Rob Lewis
d63010b7df
feat(library/data/real): prove more about embedding Q into R
2015-07-31 09:10:57 -04:00
Leonardo de Moura
88c659c54e
feaf(library): make sure basic standard library can be compiled with option "--to_axiom"
...
We use this option to erase proofs when generating the javascript
version. The proofs are erased to minimize the size of the file that
must be downloaded by users
2015-07-29 16:11:23 -07:00
Leonardo de Moura
308af87b69
feat(library): add 'noncomputable' keyword for the standard library
2015-07-28 21:56:35 -07:00
Mario Carneiro
066b0fcdf9
feat(library): clean up "sorry"s in library
...
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
0de715ae54
refactor(library/data): cleanup proofs using new features
2015-07-21 09:57:10 -07:00
Leonardo de Moura
48f8b8f18d
refactor(library): use new 'suppose'-expression
2015-07-19 21:15:20 -07:00
Leonardo de Moura
ade60278d0
refactor(library): rename iff.mp' to iff.mpr
2015-07-18 08:52:58 -05:00
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
516333ad65
feat(library/algebra/group_bigops): add Prodl theorems
2015-07-15 14:49:53 -04:00
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
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
14f7e3de94
fix(library/algebra): missing file
2015-06-30 18:15:13 -07:00
Leonardo de Moura
cf574d0127
feat(library): assign priorities to notation declarations in the standard library
...
Now, even if the user opens the namespaces in the "wrong" order, the
notation + coercions will behave as expected.
2015-06-30 17:38:13 -07:00
Jeremy Avigad
130eb3f6d9
fix(library/data/int/basic): change notation from -[n+1] to -[1+n] to avoid conflict e.g. with -[coercions]
2015-06-29 15:23:11 +10:00
Jeremy Avigad
3bf18c174e
feat(library/algebra/ordered_group): define abs in terms of max, make some theorems constructively valid
2015-06-29 15:23:11 +10:00
Jeremy Avigad
1a164d8fc9
feat(library/algebra/ordered_group): add theorems for max and min
2015-06-29 15:23:11 +10:00
Jeremy Avigad
70e551c6d6
feat(library/algebra/order,library/data/nat/order,library/*): instantiate nat to lattice, add theorems
2015-06-29 15:23:11 +10:00
Jeremy Avigad
93e5124d71
feat(library/algebra/order): add lattices, min, max
2015-06-29 15:23:11 +10:00
Jeremy Avigad
0d25831111
refactor(library/algebra/order): cleanup, and remove unused class
2015-06-29 15:23:11 +10:00
Leonardo de Moura
52564ecc0f
refactor(library/algebra/group_power): open namespaces in the "right" order
2015-06-27 14:51:00 -07:00
Leonardo de Moura
ca0aa4eb47
feat(library/composition_manager): simplify compositions of the form (mk ... (proj (mk ...)) ...)
...
closes #666
2015-06-27 14:07:32 -07:00
Leonardo de Moura
3215af3926
feat(frontends/lean): add '[trans-instance]' attribute
...
see issue #666
2015-06-27 14:07:29 -07:00
Leonardo de Moura
c9f3b766f8
refactor(library/algebra/category/constructions): modify proof
...
It was affected by the new way of handling projections that we will implement
2015-06-25 17:48:26 -07:00
Rob Lewis
82950e1c52
chore(library/algebra/ordered_field): remove redundant line in calc
2015-06-25 17:30:12 -07:00
Leonardo de Moura
018518f0cf
refactor(library/algebra/ring): more robust proofs
2015-06-22 15:31:03 -07:00
Leonardo de Moura
7ffabeb245
refactor(library/algebra/group): avoid abuse of rewrite tactic
...
The two instances are relying on the fact that (a - b) reduces to (a + -b)
2015-06-22 15:11:14 -07:00
Leonardo de Moura
cfafc90cc0
refactor(hott,library): make sure files compile even without using "projection macros"
2015-06-22 12:22:11 -07:00
Leonardo de Moura
5f293cee9c
refactor(library/algebra/ordered_field): improve compilation time
2015-06-18 16:12:24 -07:00
Rob Lewis
f7ab2780d4
feat(library/algebra): move more theorems from reals to algebra)
2015-06-16 11:30:12 -07:00
Rob Lewis
b94d0a948d
chore(library/data/real): replace theorems with more general versions from algebra
2015-06-16 11:30:12 -07:00
Rob Lewis
b23e23061f
feat(library/algebra): finish/move more general theorems from reals to algebra)
2015-06-16 11:30:12 -07:00
