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
Rob Lewis
ff0ba6687e
feat(library/algebra/ordered_field): move identity about abs to ordered_field
2015-06-16 11:30:12 -07:00
Rob Lewis
1f4765e30a
feat(library/algebra/ordered_ring): add theorems used for rational upper bounds
2015-06-16 11:30:12 -07:00
Rob Lewis
4b38e14586
feat(library/algebra/ordered_field): add a couple missing theorems to ordered_field
2015-06-16 11:30:12 -07:00
Jeremy Avigad
3b010b8c92
feat({library,hott}/algebra/group): add abbreviations e.g. for mul.cancel_left
2015-06-15 22:53:11 +10:00
Leonardo de Moura
1bffb89126
fix(library/algebra/function): lean was failing to infer that injective is a decidable predicate for finite types with decidable equality
...
This is an issue reported by Haitao.
2015-06-09 15:30:58 -07:00
Rob Lewis
d287b20018
chore(library/data/real): move more lemmas to algebra
2015-06-09 16:27:55 +10:00
Rob Lewis
7822ba9dee
feat(library/algebra): add lemmas to group and ordered group
2015-06-09 16:14:21 +10:00
Jeremy Avigad
e59400b58c
feat(library/data/int/{div,gcd}): add some theorems, to reduce rationals
2015-06-08 22:43:51 +10:00
Jeremy Avigad
df69bb4cfc
feat(library/*): add theorems from Haitao on sets and functions, clean up
2015-06-04 11:55:25 -07:00
Jeremy Avigad
03952ae12c
feat(library/logic/{connectives,identities},library/algebra/function): cleanup and some additions from Haitao Zhang
2015-06-04 11:55:25 -07:00
Jeremy Avigad
ffa648a090
feat/refactor(library/*): various additions and improvements
2015-06-01 12:35:44 +10:00
Jeremy Avigad
b76445df39
feat(library/data/{nat,int}/div.lean,*): improve and extend div in nat and int
2015-05-30 22:10:21 +10:00
Jeremy Avigad
cc0a620db1
feat(library/data/{nat,int}/div.lean): add to and improve div library
2015-05-30 22:10:21 +10:00
Rob Lewis
4b67cd1f97
feat(library/algebra): update algebraic hierarchy to be more constructive
2015-05-29 14:11:50 +10:00
Rob Lewis
eb537daa1c
feat(library/algebra): add min/max to ordered algebraic structures
2015-05-26 11:45:09 +10:00
Jeremy Avigad
39129f112b
refactor(library/*): do various renamings
2015-05-25 16:50:42 -07:00
Jeremy Avigad
fdc89cd285
refactor(library/algebra/order.lean,library/{data,algebra}/*): use better names for order theorems
2015-05-25 16:50:42 -07:00
Jeremy Avigad
7c92161e49
refactor(library/data/finset/basic.lean): change order of arguments to induction tactic
2015-05-25 16:50:42 -07:00
Jeremy Avigad
8bebd104ff
refactor(library/*): remove 'Module:' lines
2015-05-23 20:52:23 +10:00
Jeremy Avigad
db7bdce451
refactor(logic/funext.lean, algebra/function.lean): delete logic/funext, merge into algebra/function
2015-05-23 16:16:36 +10:00
Jeremy Avigad
d33c91d7b9
fix({hott,library}/algebra/*): fix names
2015-05-23 14:05:06 +10:00
Leonardo de Moura
e1c2340db2
fix(frontends/lean): consistent behavior for protected declarations
...
see https://github.com/leanprover/lean/issues/604#issuecomment-103265608
closes #609
2015-05-18 22:35:18 -07:00
Floris van Doorn
2144036cdb
feat(hott.circle): prove that the fundamental group of the circle is equal to the integers, as groups
...
Also many minor fixes at various places
2015-05-18 15:59:55 -07:00
Leonardo de Moura
19361f0196
feat(library/unifier): do not fire type class resolution as last resort when type contains metavariables
...
see discussion at #604
2015-05-18 15:45:23 -07:00
Jeremy Avigad
566acf4b31
feat(library/data/finset/card.lean): add card_Union_of_disjoint and other theorems
2015-05-17 19:06:10 +10:00
Jeremy Avigad
6549940c63
feat(library/data/finset/bigops.lean): add Union for finsets
2015-05-17 17:50:32 +10:00
Jeremy Avigad
9720d84095
refactor(library/algebra/group_bigops.lean,library/data/nat/bigops.lean): add ext principle, clean up file
2015-05-17 16:00:38 +10:00
Jeremy Avigad
4764f6e8ec
refactor(library/algebra/group_bigops.lean,library/data/nat/bigops.lean): simplify naming scheme for bigops
2015-05-17 15:24:37 +10:00
Jeremy Avigad
7bde8193fe
feat(library/algebra/order): add alternate names for le.antisymm etc.
2015-05-17 12:54:36 +10:00
Jeremy Avigad
ff701a9812
feat(library/data/nat/bigops.lean): add finite products and sums for nat
2015-05-16 22:26:59 +10:00
Jeremy Avigad
eae047bd31
refactor,feat(library/{data,algebra}): move bigops to algebra, define sums
2015-05-16 18:42:13 +10:00
Jeremy Avigad
87e4f7a951
feat(library/algebra/group.lean): add coercions from additive (comm) monoid to (comm) monoid
2015-05-16 18:27:49 +10:00
Jeremy Avigad
daf53e4de2
fix(library/algebra/order.lean): rename decidable_eq to had_decidable_eq to avoid conflict
2015-05-16 17:53:35 +10:00
Jeremy Avigad
8de6a4bb4c
feat(library/algebra/group_pow.lean,library/data/nat/power.lean): add generic power operation on monoids and groups
2015-05-13 22:19:02 -07:00
Floris van Doorn
0a8f4f6dab
feat(function): add unfold hints to function.[h]lean
2015-05-07 16:39:03 -07:00
Leonardo de Moura
64cc710ff7
refactor(ordered_group): replace 'match' with 'obtain'
2015-05-06 10:34:43 -07:00
Leonardo de Moura
cd17618f4a
refactor(library): replace 'calc_trans', 'calc_symm', 'calc_refl' and 'calc_subst' commands with attributes '[symm]', '[refl]', '[trans]' and '[subst]'
...
These attributes are used by the calc command.
They will also be used by tactics such as 'reflexivity', 'symmetry' and
'transitivity'.
See issue #500
2015-05-02 15:15:35 -07:00
Leonardo de Moura
3912bc24c8
feat(frontends/lean): nicer syntax for 'intros' 'reverts' and 'clears'
2015-04-30 11:00:39 -07:00
Leonardo de Moura
018f768555
chore(library): remove some unnecessary parentheses
2015-04-29 14:39:59 -07:00
Jeremy Avigad
7a1064b7e8
refactor(library/algebra/order.lean): rename a field in an order structure
2015-04-27 12:03:41 -07:00