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
