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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
a6bbcd901139579f203cd2f563889af5bb91f91e | fc086f79b20cf002d6f34b023749998408e94fbf | /test/forwards_reasoning.lean | 5d9602577878daaca0037abb00195b1f6c62148a | [] | no_license | semorrison/lean-tidy | f039460136b898fb282f75efedd92f2d5c5d90f8 | 6c1d46de6cff05e1c2c4c9692af812bca3e13b6c | refs/heads/master | 1,624,461,332,392 | 1,559,655,744,000 | 1,559,655,744,000 | 96,569,994 | 9 | 4 | null | 1,538,287,895,000 | 1,499,455,306,000 | Lean | UTF-8 | Lean | false | false | 981 | lean | import tidy.forwards_reasoning
lemma G (n : ℕ) : list ℕ := [n]
lemma F : ℕ := 0
section
local attribute [forward] G
example : 1 = 1 :=
begin
success_if_fail { forwards_library_reasoning },
refl
end
local attribute [forward] F
example : 1 = 1 :=
begin
forwards_library_reasoning,
forwards_library_reasoning,... |
eed0cced1a0ad6e2abefbd72acc3ca48bd0eada9 | 9d2e3d5a2e2342a283affd97eead310c3b528a24 | /src/solutions/thursday/afternoon/category_theory/exercise9.lean | 3d9e0a61568bcead0222574cf1ab26f626dafefc | [] | permissive | Vtec234/lftcm2020 | ad2610ab614beefe44acc5622bb4a7fff9a5ea46 | bbbd4c8162f8c2ef602300ab8fdeca231886375d | refs/heads/master | 1,668,808,098,623 | 1,594,989,081,000 | 1,594,990,079,000 | 280,423,039 | 0 | 0 | MIT | 1,594,990,209,000 | 1,594,990,209,000 | null | UTF-8 | Lean | false | false | 2,683 | lean | import category_theory.limits.shapes.biproducts
/-!
Let's show that every preadditive category embeds into a preadditive category with biproducts,
and identify a good universal property.
This is a more advanced exercise, for which I've indicated a suggested structure,
but not written a full solution. I hope this stru... |
39a3e19c3a077e62010294ea0d770bebd6359fa1 | 7cef822f3b952965621309e88eadf618da0c8ae9 | /src/category/functor.lean | c3f703c91e6150b91b0bafda53283b0650ea912a | [
"Apache-2.0"
] | permissive | rmitta/mathlib | 8d90aee30b4db2b013e01f62c33f297d7e64a43d | 883d974b608845bad30ae19e27e33c285200bf84 | refs/heads/master | 1,585,776,832,544 | 1,576,874,096,000 | 1,576,874,096,000 | 153,663,165 | 0 | 2 | Apache-2.0 | 1,544,806,490,000 | 1,539,884,365,000 | Lean | UTF-8 | Lean | false | false | 4,290 | lean | /-
Copyright (c) 2017 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Simon Hudon
Standard identity and composition functors
-/
import tactic.ext tactic.lint category.basic
universe variables u v w
section functor
variables {F : Type u → Type v}
variable... |
e8432e18d55efd5014dd0912088ee5a9d8f40044 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/combinatorics/simple_graph/coloring.lean | 9440e95fe8aa370543e6f75cbbae0accade3fc64 | [
"Apache-2.0"
] | permissive | jcommelin/mathlib | d8456447c36c176e14d96d9e76f39841f69d2d9b | ee8279351a2e434c2852345c51b728d22af5a156 | refs/heads/master | 1,664,782,136,488 | 1,663,638,983,000 | 1,663,638,983,000 | 132,563,656 | 0 | 0 | Apache-2.0 | 1,663,599,929,000 | 1,525,760,539,000 | Lean | UTF-8 | Lean | false | false | 15,554 | lean | /-
Copyright (c) 2021 Arthur Paulino. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Arthur Paulino, Kyle Miller
-/
import combinatorics.simple_graph.subgraph
import combinatorics.simple_graph.clique
import data.nat.lattice
import data.setoid.partition
import order.an... |
f2040f5ce39f8fac72fd92ee3cad642cb64e1d92 | b1e80085f6d9158c0b431ffc4fa9d0d53cbac8e4 | /src/contract.lean | 9fe36b27900bed5394fba6ef623345bfb5665cf3 | [] | no_license | dwarn/nielsen-schreier-2 | d73c20e4d2a8ae537fe4f8063272d0b72c58276a | e51a8c6511d374dc584698c7fa236a5be47e7dbe | refs/heads/master | 1,679,911,740,113 | 1,615,656,058,000 | 1,615,656,058,000 | 344,111,212 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,706 | lean | import free quiver misc
open_locale classical
open category_theory is_free_groupoid
universe u
variables {G : Type u} [groupoid.{u u} G] [is_free_groupoid G] [inhabited G]
(T : subquiver (symmy gpd_gens : quiver G))
def path_to_hom : Π {a : G}, (¡T).path (default G) a → ((default G) ⟶ a)
| _ quiver.path.nil := 𝟙... |
735f90a14bb2fb6fb3f281b2b499fabe8c495f5c | 77c5b91fae1b966ddd1db969ba37b6f0e4901e88 | /src/group_theory/p_group.lean | 9b5777106bacb3909f112b370825132c94e4f012 | [
"Apache-2.0"
] | permissive | dexmagic/mathlib | ff48eefc56e2412429b31d4fddd41a976eb287ce | 7a5d15a955a92a90e1d398b2281916b9c41270b2 | refs/heads/master | 1,693,481,322,046 | 1,633,360,193,000 | 1,633,360,193,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 9,495 | lean | /-
Copyright (c) 2018 . All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Thomas Browning
-/
import group_theory.index
import group_theory.perm.cycle_type
import group_theory.quotient_group
/-!
# p-groups
This file contains a proof that if `G` is a `p`-gr... |
2ccf694b7e64c8e31d7970435fb771f7115b00ad | 94e33a31faa76775069b071adea97e86e218a8ee | /src/topology/connected.lean | 8e4c4755dfecf5415b6b5e31d07d4f009fe12391 | [
"Apache-2.0"
] | permissive | urkud/mathlib | eab80095e1b9f1513bfb7f25b4fa82fa4fd02989 | 6379d39e6b5b279df9715f8011369a301b634e41 | refs/heads/master | 1,658,425,342,662 | 1,658,078,703,000 | 1,658,078,703,000 | 186,910,338 | 0 | 0 | Apache-2.0 | 1,568,512,083,000 | 1,557,958,709,000 | Lean | UTF-8 | Lean | false | false | 62,487 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro, Yury Kudryashov
-/
import data.int.succ_pred
import data.nat.succ_pred
import order.partial_sups
import order.succ_pred.relation
import topology.subset_... |
c3af9da30603ea1703152a7756dc3c0aa6cd91e4 | d9d511f37a523cd7659d6f573f990e2a0af93c6f | /src/data/set/intervals/unordered_interval.lean | 0109a9b3352001057106e926faaf131d2f6e52bd | [
"Apache-2.0"
] | permissive | hikari0108/mathlib | b7ea2b7350497ab1a0b87a09d093ecc025a50dfa | a9e7d333b0cfd45f13a20f7b96b7d52e19fa2901 | refs/heads/master | 1,690,483,608,260 | 1,631,541,580,000 | 1,631,541,580,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 8,911 | lean | /-
Copyright (c) 2020 Zhouhang Zhou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Zhouhang Zhou
-/
import order.bounds
import data.set.intervals.image_preimage
/-!
# Intervals without endpoints ordering
In any decidable linear order `α`, we define the set of elemen... |
96cd12b1e957e15cd1613bf75e6e91de6732334a | 947fa6c38e48771ae886239b4edce6db6e18d0fb | /src/ring_theory/graded_algebra/basic.lean | 9d837835353784875b481dcd69b35c6f477be7ef | [
"Apache-2.0"
] | permissive | ramonfmir/mathlib | c5dc8b33155473fab97c38bd3aa6723dc289beaa | 14c52e990c17f5a00c0cc9e09847af16fabbed25 | refs/heads/master | 1,661,979,343,526 | 1,660,830,384,000 | 1,660,830,384,000 | 182,072,989 | 0 | 0 | null | 1,555,585,876,000 | 1,555,585,876,000 | null | UTF-8 | Lean | false | false | 11,676 | lean | /-
Copyright (c) 2021 Eric Wieser. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Eric Wieser, Kevin Buzzard, Jujian Zhang
-/
import algebra.direct_sum.algebra
import algebra.direct_sum.decomposition
import algebra.direct_sum.internal
import algebra.direct_sum.ring
imp... |
c1b9472284f1265a888f149a61b7d1bd8a9d54c3 | bbecf0f1968d1fba4124103e4f6b55251d08e9c4 | /src/field_theory/perfect_closure.lean | 8df3d17a41cb3024acdfdaa57369fb6ac8a6fe0a | [
"Apache-2.0"
] | permissive | waynemunro/mathlib | e3fd4ff49f4cb43d4a8ded59d17be407bc5ee552 | 065a70810b5480d584033f7bbf8e0409480c2118 | refs/heads/master | 1,693,417,182,397 | 1,634,644,781,000 | 1,634,644,781,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 17,396 | lean | /-
Copyright (c) 2018 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau, Yury Kudryashov
-/
import algebra.char_p.basic
import data.equiv.ring
import algebra.group_with_zero.power
import algebra.iterate_hom
/-!
# The perfect closure of a field
-/
un... |
9dc3fa156b4372ccbaac1ebd2ef6637c9c144dbf | aa2345b30d710f7e75f13157a35845ee6d48c017 | /data/real/ennreal.lean | f174106c8bbcf6bc9855823ebab3c1b3f92f6e3f | [
"Apache-2.0"
] | permissive | CohenCyril/mathlib | 5241b20a3fd0ac0133e48e618a5fb7761ca7dcbe | a12d5a192f5923016752f638d19fc1a51610f163 | refs/heads/master | 1,586,031,957,957 | 1,541,432,824,000 | 1,541,432,824,000 | 156,246,337 | 0 | 0 | Apache-2.0 | 1,541,434,514,000 | 1,541,434,513,000 | null | UTF-8 | Lean | false | false | 16,557 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Johannes Hölzl
Extended non-negative reals
-/
import data.real.nnreal order.bounds
noncomputable theory
open classical set lattice
local attribute [instance] prop_decidable
variables ... |
958d8d9627a3db2d25228c7e448fb2a2f0517c93 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/data/opposite.lean | f74f353803b89439613d92ccba2b2a6cb2447fce | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 4,729 | lean | /-
Copyright (c) 2018 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison, Reid Barton, Simon Hudon, Kenny Lau
-/
import logic.equiv.defs
/-!
# Opposites
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file require a corresp... |
c08d865ea372d86ac2c8b2483d13305ea525d99c | 01ae0d022f2e2fefdaaa898938c1ac1fbce3b3ab | /categories/adjunctions/examples/fixed_points.lean | 7b4dbf340d2c332c0db335de79ad84a1f042251e | [] | no_license | PatrickMassot/lean-category-theory | 0f56a83464396a253c28a42dece16c93baf8ad74 | ef239978e91f2e1c3b8e88b6e9c64c155dc56c99 | refs/heads/master | 1,629,739,187,316 | 1,512,422,659,000 | 1,512,422,659,000 | 113,098,786 | 0 | 0 | null | 1,512,424,022,000 | 1,512,424,022,000 | null | UTF-8 | Lean | false | false | 1,028 | lean | -- Copyright (c) 2017 Scott Morrison. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Authors: Scott Morrison
import ...adjunctions
import ...full_subcategory
open categories
open categories.functor
open categories.natural_transformation
open categories.products
open cat... |
1bdd14b18a511b507d78fdfb31005f03fa03d170 | 07c76fbd96ea1786cc6392fa834be62643cea420 | /hott/hit/coeq.hlean | 4fee13f54d4e3b197264fa9ce63195978ff514ab | [
"Apache-2.0"
] | permissive | fpvandoorn/lean2 | 5a430a153b570bf70dc8526d06f18fc000a60ad9 | 0889cf65b7b3cebfb8831b8731d89c2453dd1e9f | refs/heads/master | 1,592,036,508,364 | 1,545,093,958,000 | 1,545,093,958,000 | 75,436,854 | 0 | 0 | null | 1,480,718,780,000 | 1,480,718,780,000 | null | UTF-8 | Lean | false | false | 5,141 | hlean | /-
Copyright (c) 2015 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn
Declaration of the coequalizer
-/
import types.equiv .quotient
open quotient eq equiv is_trunc sigma sigma.ops
namespace coeq
section
universe u
parameters {A B... |
3567e39717b097bc85b0259576eb35f6af9cc72c | 30b012bb72d640ec30c8fdd4c45fdfa67beb012c | /tactic/auto_cases.lean | d0da24af416a92db360854e76c83d1df394aa034 | [
"Apache-2.0"
] | permissive | kckennylau/mathlib | 21fb810b701b10d6606d9002a4004f7672262e83 | 47b3477e20ffb5a06588dd3abb01fe0fe3205646 | refs/heads/master | 1,634,976,409,281 | 1,542,042,832,000 | 1,542,319,733,000 | 109,560,458 | 0 | 0 | Apache-2.0 | 1,542,369,208,000 | 1,509,867,494,000 | Lean | UTF-8 | Lean | false | false | 1,642 | lean | -- Copyright (c) 2017 Scott Morrison. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Authors: Scott Morrison
import logic.basic
import tactic.basic
import data.option
open tactic
meta def auto_cases_at (h : expr) : tactic string :=
do t' ← infer_type h,
t' ← whnf t',... |
7ce3337a3cb8cd2eaac1d77a65fe1f016e440252 | 3bdd27ffdff3ffa22d4bb010eba695afcc96bc4a | /src/combinatorics/simplicial_complex/exposed.lean | f506924aa2047cf1bf631486d8d47d8583393d72 | [] | no_license | mmasdeu/brouwerfixedpoint | 684d712c982c6a8b258b4e2c6b2eab923f2f1289 | 548270f79ecf12d7e20a256806ccb9fcf57b87e2 | refs/heads/main | 1,690,539,793,996 | 1,631,801,831,000 | 1,631,801,831,000 | 368,139,809 | 4 | 3 | null | 1,624,453,250,000 | 1,621,246,034,000 | Lean | UTF-8 | Lean | false | false | 3,119 | lean | /-
Copyright (c) 2021 Yaël Dillies, Bhavik Mehta. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yaël Dillies, Bhavik Mehta
-/
import analysis.convex.exposed
import combinatorics.simplicial_complex.extreme
open_locale classical affine big_operators
open set
--TODO: Ge... |
c84caa1c4e20946501e986eafa8df995c2844fd2 | 137c667471a40116a7afd7261f030b30180468c2 | /src/topology/instances/nnreal.lean | 70afafc88ce77ac1e0c41a7b2a2a58ab58a3c3df | [
"Apache-2.0"
] | permissive | bragadeesh153/mathlib | 46bf814cfb1eecb34b5d1549b9117dc60f657792 | b577bb2cd1f96eb47031878256856020b76f73cd | refs/heads/master | 1,687,435,188,334 | 1,626,384,207,000 | 1,626,384,207,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 7,552 | lean | /-
Copyright (c) 2018 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin
-/
import topology.algebra.infinite_sum
import topology.algebra.group_with_zero
/-!
# Topology on `ℝ≥0`
The natural topology on `ℝ≥0` (the one induced from `ℝ`), and a... |
d66dc53fafe375bfc6751c729027b39576a9e2e5 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/tactic/reserved_notation.lean | c1acfa18f34d12796c3718990a5a2565195607b2 | [
"Apache-2.0"
] | permissive | jjgarzella/mathlib | 96a345378c4e0bf26cf604aed84f90329e4896a2 | 395d8716c3ad03747059d482090e2bb97db612c8 | refs/heads/master | 1,686,480,124,379 | 1,625,163,323,000 | 1,625,163,323,000 | 281,190,421 | 2 | 0 | Apache-2.0 | 1,595,268,170,000 | 1,595,268,169,000 | null | UTF-8 | Lean | false | false | 1,354 | lean | /-
Copyright (c) 2020 Bryan Gin-ge Chen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Bryan Gin-ge Chen
-/
/-!
# Reserved notation
This file is imported by `logic.basic` and `logic.relator` to place it at the top of the
import graph.
We place all of `mathlib`'s re... |
07be9c54ff76de71711bbbe1b0f9d57e3a9bbf4c | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/run/rewriter3.lean | cdb82749f99fc390cfd9783f87c7acdb475bc3f0 | [
"Apache-2.0"
] | permissive | soonhokong/lean | cb8aa01055ffe2af0fb99a16b4cda8463b882cd1 | 38607e3eb57f57f77c0ac114ad169e9e4262e24f | refs/heads/master | 1,611,187,284,081 | 1,450,766,737,000 | 1,476,122,547,000 | 11,513,992 | 2 | 0 | null | 1,401,763,102,000 | 1,374,182,235,000 | C++ | UTF-8 | Lean | false | false | 487 | lean | import data.nat
open algebra
constant f {A : Type} : A → A → A
theorem test1 {A : Type} [s : comm_ring A] (a b c : A) (H : a + 0 = 0) : f a a = f 0 0 :=
begin
rewrite add_zero at H,
rewrite H
end
theorem test2 {A : Type} [s : comm_ring A] (a b c : A) (H : a + 0 = 0) : f a a = f 0 0 :=
begin
rewrite [add_zero a... |
ef6f0497c61cf6c673b51dc731c0363b085e4cb5 | 7007bb645068e0b6b859aab9da7cf5c1c79e98be | /library/init/data/set.lean | d7c24e0025c5c3268fdffd468cf73cbcd1af233b | [
"Apache-2.0"
] | permissive | EdAyers/lean | 7d3fb852380bc386545ebc119b7d03c128c3ce1c | be72c8dc527a062e243a408480f487a55b06cb0a | refs/heads/master | 1,624,443,179,694 | 1,592,837,958,000 | 1,592,837,958,000 | 154,972,348 | 0 | 0 | Apache-2.0 | 1,557,768,267,000 | 1,540,649,772,000 | C++ | UTF-8 | Lean | false | false | 2,336 | lean | /-
Copyright (c) 2016 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
prelude
import init.meta.interactive
import init.control.lawful
universes u v
def set (α : Type u) := α → Prop
def set_of {α : Type u} (p : α → Prop) : se... |
44a8c4c68510164deb5b881141041788a7c5cb74 | 7cef822f3b952965621309e88eadf618da0c8ae9 | /src/data/equiv/list.lean | 7c3ddc70bccee2de3987f7fc490a881b5c05205e | [
"Apache-2.0"
] | permissive | rmitta/mathlib | 8d90aee30b4db2b013e01f62c33f297d7e64a43d | 883d974b608845bad30ae19e27e33c285200bf84 | refs/heads/master | 1,585,776,832,544 | 1,576,874,096,000 | 1,576,874,096,000 | 153,663,165 | 0 | 2 | Apache-2.0 | 1,544,806,490,000 | 1,539,884,365,000 | Lean | UTF-8 | Lean | false | false | 9,197 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Mario Carneiro
Additional equiv and encodable instances for lists and finsets.
-/
import data.equiv.denumerable data.nat.pairing order.order_iso
data.array.lemmas data.fintype
open ... |
0901afceb096bc5ce552952154ee2a4f4acfe124 | 4f643cce24b2d005aeeb5004c2316a8d6cc7f3b1 | /src/for_mathlib/boolean_subalgebra.lean | 678764f92b3d4635e359710e0b8ba3fe9728dd0d | [] | no_license | rwbarton/lean-omin | da209ed061d64db65a8f7f71f198064986f30eb9 | fd733c6d95ef6f4743aae97de5e15df79877c00e | refs/heads/master | 1,674,408,673,325 | 1,607,343,535,000 | 1,607,343,535,000 | 285,150,399 | 9 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,712 | lean | import order.boolean_algebra
import for_mathlib.closure
variables {B : Type*} [boolean_algebra B]
-- Main example of interest: B = set α, or a boolean subalgebra.
-- Other descriptions are possible (the dual one using ⊤ and ⊓, for a start);
-- we could provide alternate constructors for these.
structure is_boolean_su... |
e13666865148812fb24edd4ec760f60a8181aaa9 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/measure_theory/function/special_functions.lean | a98bc5f9a6224ee9afec6fc3416b7f4f738336f6 | [
"Apache-2.0"
] | permissive | AntoineChambert-Loir/mathlib | 64aabb896129885f12296a799818061bc90da1ff | 07be904260ab6e36a5769680b6012f03a4727134 | refs/heads/master | 1,693,187,631,771 | 1,636,719,886,000 | 1,636,719,886,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 9,534 | lean | /-
Copyright (c) 2020 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov
-/
import analysis.special_functions.pow
import analysis.special_functions.trigonometric.arctan
import analysis.inner_product_space.basic
import measure_theory.constr... |
30c0e4b82af2029355a3481bd0a5430084c2542c | e151e9053bfd6d71740066474fc500a087837323 | /src/hott/init/path.lean | 7f9f454b3c325d87d7f8c01246ecfa717fc2fa5a | [
"Apache-2.0"
] | permissive | daniel-carranza/hott3 | 15bac2d90589dbb952ef15e74b2837722491963d | 913811e8a1371d3a5751d7d32ff9dec8aa6815d9 | refs/heads/master | 1,610,091,349,670 | 1,596,222,336,000 | 1,596,222,336,000 | 241,957,822 | 0 | 0 | Apache-2.0 | 1,582,222,839,000 | 1,582,222,838,000 | null | UTF-8 | Lean | false | false | 33,462 | lean | /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Jakob von Raumer, Floris van Doorn
Ported from Coq HoTT
-/
import .meta.support .meta.simp_attr .meta.induction .path0
universes u v w
hott_theory
namespace ho... |
1fa525deaec3121ae5e08151f61d816d6a27b01b | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/order/succ_pred/limit.lean | 295cf5ed677a1783a576a4c66dca305806b1fbe7 | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 11,395 | lean | /-
Copyright (c) 2022 Violeta Hernández Palacios. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Violeta Hernández Palacios
-/
import order.succ_pred.basic
/-!
# Successor and predecessor limits
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file r... |
7c26c1bec20328ba633a76b27976ab3127d8065b | ce89339993655da64b6ccb555c837ce6c10f9ef4 | /ukikagi/top39-2.lean | e391c59a1a59a48c6ac77c5fff67f73c1c2f3034 | [] | no_license | zeptometer/LearnLean | ef32dc36a22119f18d843f548d0bb42f907bff5d | bb84d5dbe521127ba134d4dbf9559b294a80b9f7 | refs/heads/master | 1,625,710,824,322 | 1,601,382,570,000 | 1,601,382,570,000 | 195,228,870 | 2 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 329 | lean | example: (∀ P Q R, (P ↔ Q) ∨ (Q ↔ R) ∨ (R ↔ P)) → ∀ P, P ∨ ¬P
:=
begin
intros h P,
cases h true false P with h1 h23,
exfalso,
apply h1.1,
trivial,
cases h23 with h2 h3,
right,
exact h2.2,
-- case h3
left,
apply h3.2,
trivial,
end
|
dac69e0cc8ee86ee2637edf51afa727bac25e6f5 | 4efff1f47634ff19e2f786deadd394270a59ecd2 | /src/category_theory/monoidal/functor.lean | bf621d01dccc0ffe6806884fe6d3a8b18182caed | [
"Apache-2.0"
] | permissive | agjftucker/mathlib | d634cd0d5256b6325e3c55bb7fb2403548371707 | 87fe50de17b00af533f72a102d0adefe4a2285e8 | refs/heads/master | 1,625,378,131,941 | 1,599,166,526,000 | 1,599,166,526,000 | 160,748,509 | 0 | 0 | Apache-2.0 | 1,544,141,789,000 | 1,544,141,789,000 | null | UTF-8 | Lean | false | false | 7,135 | lean | /-
Copyright (c) 2018 Michael Jendrusch. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Michael Jendrusch, Scott Morrison
-/
import category_theory.monoidal.category
open category_theory
universes v₁ v₂ v₃ u₁ u₂ u₃
open category_theory.category
open category_theory.... |
7b23182d48f2fa3211ee919357b7ea80a87fb1f7 | fbf512ee44de430e3d3c5869751ad95325c938d7 | /form.lean | 367c154ae8e84c78f74633f3d96421d7a4621ec0 | [] | no_license | skbaek/clausify | 4858c9005fb86a5e410bfcaa77524f82d955f655 | d09b071bdcce7577c3fffacd0893b776285b1590 | refs/heads/master | 1,588,360,590,818 | 1,553,553,880,000 | 1,553,553,880,000 | 177,644,542 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 6,386 | lean | import .term tactic.basic .list .arity .tactic .logic .nat
open tactic
variables {α β : Type}
@[derive has_reflect]
inductive form : Type
| false : form
| true : form
| prd : nat → list term → form
| not : form → form
| or : form → form → form
| and : form → form → form
| fa : form → form
| ex : form → form
... |
afae3bf16a69265f8e11d028f0905415df4e0af3 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/category_theory/essentially_small.lean | 9e43ff04afaeac421e4c25e0a9776a5f6f730d22 | [
"Apache-2.0"
] | permissive | jcommelin/mathlib | d8456447c36c176e14d96d9e76f39841f69d2d9b | ee8279351a2e434c2852345c51b728d22af5a156 | refs/heads/master | 1,664,782,136,488 | 1,663,638,983,000 | 1,663,638,983,000 | 132,563,656 | 0 | 0 | Apache-2.0 | 1,663,599,929,000 | 1,525,760,539,000 | Lean | UTF-8 | Lean | false | false | 7,541 | lean | /-
Copyright (c) 2021 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import logic.small
import category_theory.category.ulift
import category_theory.skeletal
/-!
# Essentially small categories.
A category given by `(C : Type u) [cate... |
0bfac6738fb86d499ea10aae958573af0950dadb | 94e33a31faa76775069b071adea97e86e218a8ee | /src/analysis/convex/stone_separation.lean | 982fa58bd1e8dcc38bc2ca665a57517e7231ad73 | [
"Apache-2.0"
] | permissive | urkud/mathlib | eab80095e1b9f1513bfb7f25b4fa82fa4fd02989 | 6379d39e6b5b279df9715f8011369a301b634e41 | refs/heads/master | 1,658,425,342,662 | 1,658,078,703,000 | 1,658,078,703,000 | 186,910,338 | 0 | 0 | Apache-2.0 | 1,568,512,083,000 | 1,557,958,709,000 | Lean | UTF-8 | Lean | false | false | 5,108 | lean | /-
Copyright (c) 2022 Yaël Dillies. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yaël Dillies
-/
import analysis.convex.join
/-!
# Stone's separation theorem
This file prove Stone's separation theorem. This tells us that any two disjoint convex sets can be
separate... |
ac32aee48fffffc999833f92c2f0255f02e61047 | e0f9ba56b7fedc16ef8697f6caeef5898b435143 | /src/data/prod.lean | 8b193adf68926a410ffec3bef0064d0b2659528e | [
"Apache-2.0"
] | permissive | anrddh/mathlib | 6a374da53c7e3a35cb0298b0cd67824efef362b4 | a4266a01d2dcb10de19369307c986d038c7bb6a6 | refs/heads/master | 1,656,710,827,909 | 1,589,560,456,000 | 1,589,560,456,000 | 264,271,800 | 0 | 0 | Apache-2.0 | 1,589,568,062,000 | 1,589,568,061,000 | null | UTF-8 | Lean | false | false | 4,096 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
-/
import tactic.ext
/-!
# Extra facts about `prod`
This file defines `prod.swap : α × β → β × α` and proves various simple lemmas about `prod`.
-/
variables {α : Typ... |
aa786ad9072ae504e7d74f5cc5d286cbce46fd34 | 3af272061d36e7f3f0521cceaa3a847ed4e03af9 | /src/modular_forms.lean | 937b578c3003f5c0faa9a6c83c6d81af32d8c68d | [] | no_license | semorrison/kbb | fdab0929d21dca880d835081814225a95f946187 | 229bd06e840bc7a7438b8fee6802a4f8024419e3 | refs/heads/master | 1,585,351,834,355 | 1,539,848,241,000 | 1,539,848,241,000 | 147,323,315 | 2 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 4,044 | lean | import tactic.ring
import group_theory.group_action
import algebra.module
import algebra.pi_instances
import linear_algebra.subtype_module
import .holomorphic_functions
import .upper_half_space
universes u v
open complex
local notation `ℍ` := upper_half_space
def is_Petersson_weight_ (k : ℕ) := { f : ℍ → ℂ | ∀ M : ... |
1845e9c7de52a0ef439ff79dc2867ed8373966c9 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/linear_algebra/affine_space/basic_auto.lean | 2f38aa87b372501aabfdfb64b7b748c7336818dc | [] | no_license | AurelienSaue/Mathlib4_auto | f538cfd0980f65a6361eadea39e6fc639e9dae14 | 590df64109b08190abe22358fabc3eae000943f2 | refs/heads/master | 1,683,906,849,776 | 1,622,564,669,000 | 1,622,564,669,000 | 371,723,747 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,767 | lean | /-
Copyright (c) 2020 Joseph Myers. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Joseph Myers
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.algebra.add_torsor
import Mathlib.PostPort
namespace Mathlib
/-!
# Affine space
In this file ... |
1beadbe194b17f8645ed246783825c4356485757 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/topology/fiber_bundle/constructions.lean | 4b3df9b72c90e655c360e23ceb43e24055f2818f | [
"Apache-2.0"
] | permissive | alreadydone/mathlib | dc0be621c6c8208c581f5170a8216c5ba6721927 | c982179ec21091d3e102d8a5d9f5fe06c8fafb73 | refs/heads/master | 1,685,523,275,196 | 1,670,184,141,000 | 1,670,184,141,000 | 287,574,545 | 0 | 0 | Apache-2.0 | 1,670,290,714,000 | 1,597,421,623,000 | Lean | UTF-8 | Lean | false | false | 16,737 | lean | /-
Copyright © 2022 Nicolò Cavalleri. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Nicolò Cavalleri, Sébastien Gouëzel, Heather Macbeth, Floris van Doorn
-/
import topology.fiber_bundle.basic
/-!
# Standard constructions on fiber bundles
This file contains several ... |
542ce2695522c9645ad8dded2859193adbce7f3f | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/algebra/group_power/ring.lean | 41b643ef7bf7faf51a71b2a36c274462f146fe65 | [
"Apache-2.0"
] | permissive | jcommelin/mathlib | d8456447c36c176e14d96d9e76f39841f69d2d9b | ee8279351a2e434c2852345c51b728d22af5a156 | refs/heads/master | 1,664,782,136,488 | 1,663,638,983,000 | 1,663,638,983,000 | 132,563,656 | 0 | 0 | Apache-2.0 | 1,663,599,929,000 | 1,525,760,539,000 | Lean | UTF-8 | Lean | false | false | 7,525 | lean | /-
Copyright (c) 2015 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Robert Y. Lewis
-/
import algebra.group_power.basic
import algebra.hom.ring
/-!
# Power operations on monoids with zero, semirings, and rings
This file provides additio... |
dad303298edbf0374917d6d6e17d76a594d7327c | d9d511f37a523cd7659d6f573f990e2a0af93c6f | /src/linear_algebra/bilinear_form.lean | 69113f03fccfb03d28ba0fe844f5ec177b77607d | [
"Apache-2.0"
] | permissive | hikari0108/mathlib | b7ea2b7350497ab1a0b87a09d093ecc025a50dfa | a9e7d333b0cfd45f13a20f7b96b7d52e19fa2901 | refs/heads/master | 1,690,483,608,260 | 1,631,541,580,000 | 1,631,541,580,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 66,599 | lean | /-
Copyright (c) 2018 Andreas Swerdlow. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Andreas Swerdlow, Kexing Ying
-/
import linear_algebra.dual
import linear_algebra.matrix.basis
import linear_algebra.matrix.nonsingular_inverse
import linear_algebra.tensor_product
... |
618f8b365c9b4a052d765c34c31040a52b441017 | 94e33a31faa76775069b071adea97e86e218a8ee | /src/category_theory/sites/left_exact.lean | 6081c333e841b1daa3bfe44bf5f6c8149bf89af8 | [
"Apache-2.0"
] | permissive | urkud/mathlib | eab80095e1b9f1513bfb7f25b4fa82fa4fd02989 | 6379d39e6b5b279df9715f8011369a301b634e41 | refs/heads/master | 1,658,425,342,662 | 1,658,078,703,000 | 1,658,078,703,000 | 186,910,338 | 0 | 0 | Apache-2.0 | 1,568,512,083,000 | 1,557,958,709,000 | Lean | UTF-8 | Lean | false | false | 10,101 | lean | /-
Copyright (c) 2021 Adam Topaz. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Adam Topaz
-/
import category_theory.sites.sheafification
import category_theory.sites.limits
import category_theory.limits.functor_category
import category_theory.limits.filtered_colimit_... |
350eb5cef8b939d911066a8d02e6788d94562bc0 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/order/cover.lean | 1c6491555929182acfe99f6d64bd5246726a4f12 | [
"Apache-2.0"
] | permissive | jcommelin/mathlib | d8456447c36c176e14d96d9e76f39841f69d2d9b | ee8279351a2e434c2852345c51b728d22af5a156 | refs/heads/master | 1,664,782,136,488 | 1,663,638,983,000 | 1,663,638,983,000 | 132,563,656 | 0 | 0 | Apache-2.0 | 1,663,599,929,000 | 1,525,760,539,000 | Lean | UTF-8 | Lean | false | false | 12,863 | lean | /-
Copyright (c) 2021 Yaël Dillies. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yaël Dillies, Violeta Hernández Palacios, Grayson Burton, Floris van Doorn
-/
import data.set.intervals.ord_connected
/-!
# The covering relation
This file defines the covering relatio... |
18a2adb92bce5c7d099b6275d3f21feb36741341 | 75c54c8946bb4203e0aaf196f918424a17b0de99 | /src/reflect_test.lean | 567c2838d395fb238f70674c6283d1f5fcc85494 | [
"Apache-2.0"
] | permissive | urkud/flypitch | 261e2a45f1038130178575406df8aea78255ba77 | 2250f5eda14b6ef9fc3e4e1f4a9ac4005634de5c | refs/heads/master | 1,653,266,469,246 | 1,577,819,679,000 | 1,577,819,679,000 | 259,862,235 | 1 | 0 | Apache-2.0 | 1,588,147,244,000 | 1,588,147,244,000 | null | UTF-8 | Lean | false | false | 7,539 | lean | import .fol .abel
universe u
-- section weekdays
-- @[derive has_reflect]
-- inductive weekday : Type
-- | monday : weekday
-- | another_day : weekday → weekday
-- open weekday
-- meta def dump_weekday (f : weekday) : tactic unit :=
-- tactic.trace $ to_string (expr.to_raw_fmt (reflect f).to_expr)
--... |
d7826689d03cf28e83518764cd0987871ada0bbe | ece1fcd81204f318535500cde1f3c6433de98f46 | /src/abstract_V_and_I.lean | 8228668ba0e6ae32290cf921f71140d0c3f83c84 | [
"Apache-2.0"
] | permissive | stjordanis/M4P33 | ab5d90bda269428aee16885dbd33f0d21d7d2f79 | d3b56421fcb03b935d9012e5a5b35e1c1ad0b0b4 | refs/heads/master | 1,607,921,471,294 | 1,579,298,081,000 | 1,579,298,081,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 9,257 | lean | /-
Thoughts about how much of the 𝕍 and 𝕀 theory
goes through abstractly.
-/
-- This is set theory. But we want to do some type theory as well.
-- Types are a convenient way of gathering mathematical objects
-- into well-defined collections, such as rings.
import data.type.basic
-- We want to prove that the image... |
f429f879d360a7a142de5b24359d4a0b924122a2 | 2eab05920d6eeb06665e1a6df77b3157354316ad | /src/analysis/calculus/deriv.lean | 0dd18d0c7a51db3aa3dd1a52b7175a04cb4f9ec2 | [
"Apache-2.0"
] | permissive | ayush1801/mathlib | 78949b9f789f488148142221606bf15c02b960d2 | ce164e28f262acbb3de6281b3b03660a9f744e3c | refs/heads/master | 1,692,886,907,941 | 1,635,270,866,000 | 1,635,270,866,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 85,897 | lean | /-
Copyright (c) 2019 Gabriel Ebner. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gabriel Ebner, Sébastien Gouëzel
-/
import analysis.calculus.fderiv
import data.polynomial.derivative
/-!
# One-dimensional derivatives
This file defines the derivative of a function... |
251bdc077f8bede927a4134bcbc24aa075759e1a | 6e8de6b43162bef473b4a0bd93b71db886df98ce | /src/pregeom/basis_family.lean | 941cb1ac5c4f96641b4647c4c21c1ac0f86557b9 | [
"Unlicense"
] | permissive | adamtopaz/comb_geom | 38ec6fde8d2543f56227ec50cdfb86cac6ac33c1 | e16b629d6de3fbdea54a528755e7305dfb51e902 | refs/heads/master | 1,668,613,552,530 | 1,593,199,940,000 | 1,593,199,940,000 | 269,824,442 | 6 | 0 | Unlicense | 1,593,119,545,000 | 1,591,404,975,000 | Lean | UTF-8 | Lean | false | false | 3,292 | lean | import data.set
import .basis
import .basic
/-!
# What is going on here?
Here we define the notion of spanning, independence, and basis for a family of terms in a pregeometry.
By a family, we just mean a function `ι : S → T` from some other type `S`.
The following lemmas help in going back and forth between the defi... |
39ad7d44cb229a28687ad2f90430c30a5116b4d0 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/ring_theory/polynomial/content.lean | d35c17b4bf2d85015355601409f8c53f1ba23851 | [] | no_license | AurelienSaue/Mathlib4_auto | f538cfd0980f65a6361eadea39e6fc639e9dae14 | 590df64109b08190abe22358fabc3eae000943f2 | refs/heads/master | 1,683,906,849,776 | 1,622,564,669,000 | 1,622,564,669,000 | 371,723,747 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 9,028 | lean | /-
Copyright (c) 2020 Aaron Anderson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Aaron Anderson
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.data.finset.gcd
import Mathlib.data.polynomial.default
import Mathlib.data.polynomial.erase_... |
9021c94b7971f05f96010a2115de36350dbababf | 6dc0c8ce7a76229dd81e73ed4474f15f88a9e294 | /tests/bench/binarytrees.lean | 32a0a143db88d11d847de9f570cdf4a54faaf384 | [
"Apache-2.0"
] | permissive | williamdemeo/lean4 | 72161c58fe65c3ad955d6a3050bb7d37c04c0d54 | 6d00fcf1d6d873e195f9220c668ef9c58e9c4a35 | refs/heads/master | 1,678,305,356,877 | 1,614,708,995,000 | 1,614,708,995,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,706 | lean | inductive Tree
| Nil
| Node (l r : Tree) : Tree
open Tree
instance : Inhabited Tree := ⟨Nil⟩
-- This Function has an extra argument to suppress the
-- common sub-expression elimination optimization
partial def make' : UInt32 -> UInt32 -> Tree
| n, d =>
if d = 0 then Node Nil Nil
else Node (make' n (d - 1)) (make' ... |
3fdd4de040b86fe520e7da81842c9d622eb41d3b | 432d948a4d3d242fdfb44b81c9e1b1baacd58617 | /src/field_theory/polynomial_galois_group.lean | 17e89b869e37b3289eeccf0b02b65f41cfbf40e1 | [
"Apache-2.0"
] | permissive | JLimperg/aesop3 | 306cc6570c556568897ed2e508c8869667252e8a | a4a116f650cc7403428e72bd2e2c4cda300fe03f | refs/heads/master | 1,682,884,916,368 | 1,620,320,033,000 | 1,620,320,033,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 19,236 | lean | /-
Copyright (c) 2020 Thomas Browning, Patrick Lutz. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Thomas Browning, Patrick Lutz
-/
import analysis.complex.polynomial
import field_theory.galois
import group_theory.perm.cycle_type
import ring_theory.eisenstein_criteri... |
88369a5903a02fbde13f2b7b1fe1f78f31d045c3 | 367134ba5a65885e863bdc4507601606690974c1 | /src/linear_algebra/tensor_algebra.lean | 205075040de9773caf9b24b0a2c336771a1b42c4 | [
"Apache-2.0"
] | permissive | kodyvajjha/mathlib | 9bead00e90f68269a313f45f5561766cfd8d5cad | b98af5dd79e13a38d84438b850a2e8858ec21284 | refs/heads/master | 1,624,350,366,310 | 1,615,563,062,000 | 1,615,563,062,000 | 162,666,963 | 0 | 0 | Apache-2.0 | 1,545,367,651,000 | 1,545,367,651,000 | null | UTF-8 | Lean | false | false | 7,206 | lean | /-
Copyright (c) 2020 Adam Topaz. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Adam Topaz.
-/
import algebra.free_algebra
import algebra.ring_quot
import algebra.triv_sq_zero_ext
/-!
# Tensor Algebras
Given a commutative semiring `R`, and an `R`-module `M`, we const... |
2abf682cfb147ea847c6c0f6b18614d3e8aebba1 | 05f637fa14ac28031cb1ea92086a0f4eb23ff2b1 | /tests/lean/eq4.lean | 7767741f5d3ad5af785ab02a6632c2d95184cdee | [
"Apache-2.0"
] | permissive | codyroux/lean0.1 | 1ce92751d664aacff0529e139083304a7bbc8a71 | 0dc6fb974aa85ed6f305a2f4b10a53a44ee5f0ef | refs/heads/master | 1,610,830,535,062 | 1,402,150,480,000 | 1,402,150,480,000 | 19,588,851 | 2 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 58 | lean | import Int
import Real
eval 1 = 1.0
eval 1 = nat_to_int 1
|
4e361c73b4d18b1b2b5ec5a0c149dd3926dc426c | 5d166a16ae129621cb54ca9dde86c275d7d2b483 | /tests/lean/interactive/my_tac_class.lean | ee2707c7f05ed6c8d854bd8e20e6386a5c315fa2 | [
"Apache-2.0"
] | permissive | jcarlson23/lean | b00098763291397e0ac76b37a2dd96bc013bd247 | 8de88701247f54d325edd46c0eed57aeacb64baf | refs/heads/master | 1,611,571,813,719 | 1,497,020,963,000 | 1,497,021,515,000 | 93,882,536 | 1 | 0 | null | 1,497,029,896,000 | 1,497,029,896,000 | null | UTF-8 | Lean | false | false | 1,774 | lean | meta def mytac :=
state_t nat tactic
meta instance : monad mytac :=
state_t.monad _ _
meta instance : monad.has_monad_lift tactic mytac :=
monad.monad_transformer_lift (state_t nat) tactic
meta instance (α : Type) : has_coe (tactic α) (mytac α) :=
⟨monad.monad_lift⟩
namespace mytac
meta def step {α : Type} (t : my... |
08c2ec40a8440c3934151bb3b608b5616b4444a3 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/category_theory/opposites_auto.lean | 248a59511e324df907947863dd786cd47c7eb30d | [] | no_license | AurelienSaue/Mathlib4_auto | f538cfd0980f65a6361eadea39e6fc639e9dae14 | 590df64109b08190abe22358fabc3eae000943f2 | refs/heads/master | 1,683,906,849,776 | 1,622,564,669,000 | 1,622,564,669,000 | 371,723,747 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 16,128 | lean | /-
Copyright (c) 2017 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Stephen Morgan, Scott Morrison
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.category_theory.types
import Mathlib.category_theory.equivalence
import Mat... |
4ca1febcb3e4963f90199a4bf9585a064584096f | 88fb7558b0636ec6b181f2a548ac11ad3919f8a5 | /tests/lean/run/dunfold3.lean | 3684d94daa0e072ac8beb685cd30d7bf201155fe | [
"Apache-2.0"
] | permissive | moritayasuaki/lean | 9f666c323cb6fa1f31ac597d777914aed41e3b7a | ae96ebf6ee953088c235ff7ae0e8c95066ba8001 | refs/heads/master | 1,611,135,440,814 | 1,493,852,869,000 | 1,493,852,869,000 | 90,269,903 | 0 | 0 | null | 1,493,906,291,000 | 1,493,906,291,000 | null | UTF-8 | Lean | false | false | 887 | lean | open tactic
def g : nat → nat := λ x, x + 5
example (a b : nat) (p : nat → Prop) (h : p (g (nat.succ (nat.succ a)))) : p (g (a + 2)) :=
begin
unfold g at h,
do { h ← get_local `h >>= infer_type, t ← to_expr `(p (nat.succ (nat.succ a) + 5)), guard (h = t) },
unfold has_add.add bit0 has_one.one nat.add,
unfold ... |
f4942c8052a0d05a6ea4111698c3c052a9874ff7 | ea6a4a10943d0b1966364cc23dbea151403b12cb | /src/transport.lean | 440a976e11a3d91e6ad81d5e73eecb635ae7a73b | [] | no_license | cipher1024/transport | 4ec290275f540261dd6ae86247eecc99abe0218a | 147a1ba17c1e4c0b19b7625a1a70f87458a7f705 | refs/heads/master | 1,584,163,354,251 | 1,530,778,876,000 | 1,530,778,876,000 | 131,463,521 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 24,268 | lean | import data.list.basic
import data.equiv.basic
import tactic
import meta.expr
import tactic.refine
universes u v w
open function
class canonical_equiv (α : Sort*) (β : Sort*) extends equiv α β.
def equiv.injective {α : Sort*} {β : Sort*} (eq : α ≃ β) :
injective eq :=
injective_of_left_inverse eq.left_inv
#print... |
1af73a2c3a0d478c972fa0faf3a800f2d584af5a | 5e3548e65f2c037cb94cd5524c90c623fbd6d46a | /AIME_2021_3.lean | c14917f25ddb99d5e3f37699ff7406c288da68ad | [] | no_license | ahayat16/lean_exos | d4f08c30adb601a06511a71b5ffb4d22d12ef77f | 682f2552d5b04a8c8eb9e4ab15f875a91b03845c | refs/heads/main | 1,693,101,073,585 | 1,636,479,336,000 | 1,636,479,336,000 | 415,000,441 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 166 | lean | import data.finset.basic
theorem AIME_2021_3 (S:finset ℕ)(h:∀(n:ℕ), n∈S ↔ (n≤ 1000 ∧ ∃ (a b :ℕ),n=2^a-2^b)): finset.card S=50 :=
begin
sorry
end |
738f1c88839afba3964ed4573ffd0e5fa2d4f432 | da3a76c514d38801bae19e8a9e496dc31f8e5866 | /tests/lean/interactive/my_tac_class.lean | 057712882f711dd9cd86ab9ab51d199f5a12bbdd | [
"Apache-2.0"
] | permissive | cipher1024/lean | 270c1ac5781e6aee12f5c8d720d267563a164beb | f5cbdff8932dd30c6dd8eec68f3059393b4f8b3a | refs/heads/master | 1,611,223,459,029 | 1,487,566,573,000 | 1,487,566,573,000 | 83,356,543 | 0 | 0 | null | 1,488,229,336,000 | 1,488,229,336,000 | null | UTF-8 | Lean | false | false | 1,755 | lean | meta def mytac :=
state_t nat tactic
meta instance : monad mytac :=
state_t.monad _ _
meta instance : monad.has_monad_lift tactic mytac :=
monad.monad_transformer_lift (state_t nat) tactic
meta instance (α : Type) : has_coe (tactic α) (mytac α) :=
⟨monad.monad_lift⟩
namespace mytac
meta def step {α : Type} (t : my... |
e4b9ab6b4bc210b77a71a8689c3dfdd6c56cd9c8 | 4fa161becb8ce7378a709f5992a594764699e268 | /src/topology/basic.lean | d77c03b91517362d24c80fe41d17fd5baa233d19 | [
"Apache-2.0"
] | permissive | laughinggas/mathlib | e4aa4565ae34e46e834434284cb26bd9d67bc373 | 86dcd5cda7a5017c8b3c8876c89a510a19d49aad | refs/heads/master | 1,669,496,232,688 | 1,592,831,995,000 | 1,592,831,995,000 | 274,155,979 | 0 | 0 | Apache-2.0 | 1,592,835,190,000 | 1,592,835,189,000 | null | UTF-8 | Lean | false | false | 37,554 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro, Jeremy Avigad
-/
import order.filter.ultrafilter
import order.filter.partial
import order.filter.bases
/-!
# Basic theory of topological spaces.
The m... |
986ecf299df86f311a47d00a2b6123dfdd90b5e0 | 05b503addd423dd68145d68b8cde5cd595d74365 | /src/linear_algebra/multilinear.lean | decbd85148de6d2c4b61d2a7b0a1a33162ae6fa2 | [
"Apache-2.0"
] | permissive | aestriplex/mathlib | 77513ff2b176d74a3bec114f33b519069788811d | e2fa8b2b1b732d7c25119229e3cdfba8370cb00f | refs/heads/master | 1,621,969,960,692 | 1,586,279,279,000 | 1,586,279,279,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 32,998 | lean | /-
Copyright (c) 2020 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import linear_algebra.basic tactic.omega data.fintype.card
/-!
# Multilinear maps
We define multilinear maps as maps from `Π(i : ι), M₁ i` to `M₂` which are ... |
3f7bfdf8a8abd0a660e5fbeb707d45791431b36e | 94e33a31faa76775069b071adea97e86e218a8ee | /src/topology/algebra/module/basic.lean | f3289be68a0ebdad5ee3adb5bfd01f09ba62c739 | [
"Apache-2.0"
] | permissive | urkud/mathlib | eab80095e1b9f1513bfb7f25b4fa82fa4fd02989 | 6379d39e6b5b279df9715f8011369a301b634e41 | refs/heads/master | 1,658,425,342,662 | 1,658,078,703,000 | 1,658,078,703,000 | 186,910,338 | 0 | 0 | Apache-2.0 | 1,568,512,083,000 | 1,557,958,709,000 | Lean | UTF-8 | Lean | false | false | 88,585 | lean | /-
Copyright (c) 2019 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jan-David Salchow, Sébastien Gouëzel, Jean Lo, Yury Kudryashov, Frédéric Dupuis,
Heather Macbeth
-/
import topology.algebra.ring
import topology.algebra.mul_action
import topology... |
79be8cbfb5c5b21d85352adeb1a23c628851ab65 | b147e1312077cdcfea8e6756207b3fa538982e12 | /tactic/rcases.lean | cfa1d7776739b8bc0d86d6538a8d1f3048d05d67 | [
"Apache-2.0"
] | permissive | SzJS/mathlib | 07836ee708ca27cd18347e1e11ce7dd5afb3e926 | 23a5591fca0d43ee5d49d89f6f0ee07a24a6ca29 | refs/heads/master | 1,584,980,332,064 | 1,532,063,841,000 | 1,532,063,841,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 5,688 | lean | /-
Copyright (c) 2017 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
import data.dlist tactic.cache
open lean lean.parser
namespace tactic
/-
These synonyms for `list` are used to clarify the meanings of the many
usages of lists in ... |
8814437e87fb74c1e845341a422fd06fc4fd84a9 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/tactic/transform_decl.lean | d76cd58479a3d621f55181fd32b5fda88e9b91f7 | [
"Apache-2.0"
] | permissive | Vierkantor/mathlib | 0ea59ac32a3a43c93c44d70f441c4ee810ccceca | 83bc3b9ce9b13910b57bda6b56222495ebd31c2f | refs/heads/master | 1,658,323,012,449 | 1,652,256,003,000 | 1,652,256,003,000 | 209,296,341 | 0 | 1 | Apache-2.0 | 1,568,807,655,000 | 1,568,807,655,000 | null | UTF-8 | Lean | false | false | 7,898 | lean | /-
Copyright (c) 2017 Mario Carneiro All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Floris van Doorn
-/
import tactic.core
namespace tactic
/-- `copy_attribute' attr_name src tgt p d_name` copy (user) attribute `attr_name` from
`src` to `tgt` if it... |
a4443b88802776d807c49299dedd812287ffdaa2 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/algebra/category/CommRing/pushout.lean | 1dbada8e8df6463d38531c07bf0e940f0368e724 | [
"Apache-2.0"
] | permissive | AntoineChambert-Loir/mathlib | 64aabb896129885f12296a799818061bc90da1ff | 07be904260ab6e36a5769680b6012f03a4727134 | refs/heads/master | 1,693,187,631,771 | 1,636,719,886,000 | 1,636,719,886,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,199 | lean | /-
Copyright (c) 2020 Andrew Yang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Andrew Yang
-/
import category_theory.limits.shapes.pullbacks
import ring_theory.tensor_product
import algebra.category.CommRing.basic
/-!
# Explicit pushout cocone for CommRing
In this... |
f4a04b06616219fc914fd4d5dd878b2185f30a42 | 8d65764a9e5f0923a67fc435eb1a5a1d02fd80e3 | /src/linear_algebra/free_module_pid.lean | 7c202dddbfc12d71edeb78f7490647ebc89b6316 | [
"Apache-2.0"
] | permissive | troyjlee/mathlib | e18d4b8026e32062ab9e89bc3b003a5d1cfec3f5 | 45e7eb8447555247246e3fe91c87066506c14875 | refs/heads/master | 1,689,248,035,046 | 1,629,470,528,000 | 1,629,470,528,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 36,622 | lean | /-
Copyright (c) 2020 Anne Baanen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Anne Baanen
-/
import linear_algebra.basis
import linear_algebra.finsupp_vector_space
import ring_theory.principal_ideal_domain
import ring_theory.finiteness
/-! # Free modules over PID
... |
dfd9156e53897bf2b522b94d57c9bb5fab05a062 | f00cc9c04d77f9621aa57d1406d35c522c3ff82c | /tests/lean/structure_segfault.lean | 7c0dc2a0cda2d505f47f3d6b33ecaebb822d87d4 | [
"Apache-2.0"
] | permissive | shonfeder/lean | 444c66a74676d74fb3ef682d88cd0f5c1bf928a5 | 24d5a1592d80cefe86552d96410c51bb07e6d411 | refs/heads/master | 1,619,338,440,905 | 1,512,842,340,000 | 1,512,842,340,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 250 | lean | universes u
namespace hide
structure group (α : Type u) : Type u
structure T (α : extends group α := ()
structure ring (α : Type u) : Type u
class T (α : Type*) extends ring x α
class S (α : Type*) extends ((λ x, group x) α)
end hide
|
6e1d1d6fa443a309d4ba52f2e8c950d99c94666a | 892c0ca8b8ddfe17a2c64fb7b721f9e2d9287539 | /partial_fun.lean | 676a4bf466aa844d26ce9a24e8ff1a4f0f8346e3 | [] | no_license | ssomayyajula/stlc | f7ef96de541f9519b00912337332366317282dce | cf92bf387b4418f9a6261c7ea4876db4e4280dd2 | refs/heads/master | 1,630,729,373,254 | 1,516,045,347,000 | 1,516,045,347,000 | 115,835,353 | 5 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,243 | lean | def partial_fun (α β) := α → option β
universes u v
variables {α : Type u} {β : Type v}
def emptyf : partial_fun α β
| _ := none
instance : has_emptyc (partial_fun α β) :=
⟨emptyf⟩
inductive dom (f : partial_fun α β) : set α
| intro (a) (b) : f a = some b → dom a
variable [decidable_eq α]
-- Destructive addition ... |
79c8314d7207d40e27734b5fb573674c093a8373 | ec5a7ae10c533e1b1f4b0bc7713e91ecf829a3eb | /ijcar16/examples/cc10.lean | 2c261c40c0c969503684e3eb1a3f1b9faef78c9c | [
"MIT"
] | permissive | leanprover/leanprover.github.io | cf248934af7c7e9aeff17cf8df3c12c5e7e73f1a | 071a20d2e059a2c3733e004c681d3949cac3c07a | refs/heads/master | 1,692,621,047,417 | 1,691,396,994,000 | 1,691,396,994,000 | 19,366,263 | 18 | 27 | MIT | 1,693,989,071,000 | 1,399,006,345,000 | Lean | UTF-8 | Lean | false | false | 413 | lean | /-
Example/test file for the congruence closure procedure described in the paper:
"Congruence Closure for Intensional Type Theory"
Daniel Selsam and Leonardo de Moura
The tactic `by blast` has been configured in this file to use just
the congruence closure procedure using the command
set_option blast.strategy... |
bcab737d47262e04b4f4e2f9459254895f1b437e | 9c1ad797ec8a5eddb37d34806c543602d9a6bf70 | /universal/transport.lean | 7eb85ca08e68a33a41f0e335ea5725de3da50070 | [] | no_license | timjb/lean-category-theory | 816eefc3a0582c22c05f4ee1c57ed04e57c0982f | 12916cce261d08bb8740bc85e0175b75fb2a60f4 | refs/heads/master | 1,611,078,926,765 | 1,492,080,000,000 | 1,492,080,000,000 | 88,348,246 | 0 | 0 | null | 1,492,262,499,000 | 1,492,262,498,000 | null | UTF-8 | Lean | false | false | 624 | lean | set_option pp.all true
#check prod.rec
lemma transport_refl { α : Type } ( a b : α ) ( p : a = b ) : @eq.rec α a _ (eq.refl a) b p = eq.refl b :=
begin
simp
end
lemma transport_refl' { α : Type } ( a b c : α ) ( p : b = c ) : @eq.rec α b _ (eq.refl (a, b)) c p = eq.refl (a, c) :=
begin
simp
end
lemma transport_... |
377a32c9748420bd4a195c0228037343acf471c3 | 55c7fc2bf55d496ace18cd6f3376e12bb14c8cc5 | /src/topology/subset_properties.lean | 7c059119adb5df9a7d49d816efd1949ac01bd3fa | [
"Apache-2.0"
] | permissive | dupuisf/mathlib | 62de4ec6544bf3b79086afd27b6529acfaf2c1bb | 8582b06b0a5d06c33ee07d0bdf7c646cae22cf36 | refs/heads/master | 1,669,494,854,016 | 1,595,692,409,000 | 1,595,692,409,000 | 272,046,630 | 0 | 0 | Apache-2.0 | 1,592,066,143,000 | 1,592,066,142,000 | null | UTF-8 | Lean | false | false | 54,818 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro, Yury Kudryashov
-/
import topology.continuous_on
import data.finset.order
/-!
# Properties of subsets of topological spaces
## Main definitions
`comp... |
e91257453b3fb4111e8a3b0723742fbf39552d21 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/group_theory/submonoid/operations.lean | 23efc1e7ead18821d59e061139cde90c5308eedd | [
"Apache-2.0"
] | permissive | AntoineChambert-Loir/mathlib | 64aabb896129885f12296a799818061bc90da1ff | 07be904260ab6e36a5769680b6012f03a4727134 | refs/heads/master | 1,693,187,631,771 | 1,636,719,886,000 | 1,636,719,886,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 35,691 | lean | /-
Copyright (c) 2018 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Kenny Lau, Johan Commelin, Mario Carneiro, Kevin Buzzard,
Amelia Livingston, Yury Kudryashov
-/
import group_theory.submonoid.basic
import data.equiv.mul_add
import al... |
9bcf3b98efc44da7c18d3f6fcadff98efe5762ee | 9028d228ac200bbefe3a711342514dd4e4458bff | /src/data/num/bitwise.lean | 604f03d7bd4bbfcaf80ed1efa35dacefb906b72a | [
"Apache-2.0"
] | permissive | mcncm/mathlib | 8d25099344d9d2bee62822cb9ed43aa3e09fa05e | fde3d78cadeec5ef827b16ae55664ef115e66f57 | refs/heads/master | 1,672,743,316,277 | 1,602,618,514,000 | 1,602,618,514,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 7,784 | lean | /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Mario Carneiro
-/
import data.num.basic
import data.bitvec.core
/-!
# Bitwise operations using binary representation of integers
## Definitions
* bitwise operations for `pos_n... |
30ed36f71b9bf778fe97dbd4f9e9a6f6f689bfa5 | 624f6f2ae8b3b1adc5f8f67a365c51d5126be45a | /stage0/src/Init/Lean/Elab/Term.lean | f35c18a14ae6db34b2d2729fffea7f8444f1e2f2 | [
"Apache-2.0"
] | permissive | mhuisi/lean4 | 28d35a4febc2e251c7f05492e13f3b05d6f9b7af | dda44bc47f3e5d024508060dac2bcb59fd12e4c0 | refs/heads/master | 1,621,225,489,283 | 1,585,142,689,000 | 1,585,142,689,000 | 250,590,438 | 0 | 2 | Apache-2.0 | 1,602,443,220,000 | 1,585,327,814,000 | C | UTF-8 | Lean | false | false | 54,827 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
prelude
import Init.Lean.Util.Sorry
import Init.Lean.Structure
import Init.Lean.Meta.ExprDefEq
import Init.Lean.Meta.AppBuilder
import Init.Lean.Meta.SynthI... |
f232ba84a65ae7987b5f0e5313ba993a25f6ca9e | 5fbbd711f9bfc21ee168f46a4be146603ece8835 | /lean/natural_number_game/inequality/09.lean | 28b49cefb0a366549b66fb1cea292a077db47e11 | [
"LicenseRef-scancode-warranty-disclaimer"
] | no_license | goedel-gang/maths | 22596f71e3fde9c088e59931f128a3b5efb73a2c | a20a6f6a8ce800427afd595c598a5ad43da1408d | refs/heads/master | 1,623,055,941,960 | 1,621,599,441,000 | 1,621,599,441,000 | 169,335,840 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 288 | lean | theorem le_total (a b : mynat) : a ≤ b ∨ b ≤ a :=
begin
-- this feels too long
induction b with n hn,
right,
exact zero_le a,
cases hn,
left,
exact le_succ a n hn,
cases hn with d hd,
cases d with t,
left,
use succ 0,
rw hd,
ring,
right,
use t,
end
|
71c6b17744baf9bafe0d3c86e3900917b4a70fdb | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/algebra/char_p/algebra.lean | c7467d2660728c0b7ea2e71717b4ea58c15eb7a0 | [
"Apache-2.0"
] | permissive | robertylewis/mathlib | 3d16e3e6daf5ddde182473e03a1b601d2810952c | 1d13f5b932f5e40a8308e3840f96fc882fae01f0 | refs/heads/master | 1,651,379,945,369 | 1,644,276,960,000 | 1,644,276,960,000 | 98,875,504 | 0 | 0 | Apache-2.0 | 1,644,253,514,000 | 1,501,495,700,000 | Lean | UTF-8 | Lean | false | false | 3,662 | lean | /-
Copyright (c) 2021 Jon Eugster. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jon Eugster, Eric Wieser
-/
import algebra.char_p.basic
import ring_theory.localization
import algebra.free_algebra
/-!
# Characteristics of algebras
In this file we describe the chara... |
4ba8135dd8beda61cc4769e613dfb6fbdcb97038 | 6dc0c8ce7a76229dd81e73ed4474f15f88a9e294 | /tests/lean/run/monadControl.lean | d007ab27d05600f56a33306fb1ee8d6d8a7257d3 | [
"Apache-2.0"
] | permissive | williamdemeo/lean4 | 72161c58fe65c3ad955d6a3050bb7d37c04c0d54 | 6d00fcf1d6d873e195f9220c668ef9c58e9c4a35 | refs/heads/master | 1,678,305,356,877 | 1,614,708,995,000 | 1,614,708,995,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,214 | lean |
@[inline] def f {α} (s : String) (x : IO α) : IO α := do
IO.println "started";
IO.println s;
let a ← x;
IO.println ("ended");
pure a
@[inline] def f'' {α m} [MonadControlT IO m] [Monad m] (msg : String) (x : m α) : m α := do
controlAt IO fun runInBase => f msg (runInBase x)
abbrev M := StateT Bool $ ExceptT String ... |
31b8fe02863d5749c2edd1625c4b3877385ac3e1 | 69d4931b605e11ca61881fc4f66db50a0a875e39 | /src/algebra/homology/homological_complex.lean | d498bcd9b470fb4d3daaa12e9f0eebcabbc3fe59 | [
"Apache-2.0"
] | permissive | abentkamp/mathlib | d9a75d291ec09f4637b0f30cc3880ffb07549ee5 | 5360e476391508e092b5a1e5210bd0ed22dc0755 | refs/heads/master | 1,682,382,954,948 | 1,622,106,077,000 | 1,622,106,077,000 | 149,285,665 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 29,952 | lean | /-
Copyright (c) 2021 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin, Scott Morrison
-/
import algebra.homology.complex_shape
import category_theory.subobject.limits
/-!
# Homological complexes.
A `homological_complex V c` with a "shape... |
43a7103c432e1c9cfc6bcc74d3e1e3da1e88531a | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/data/rat/order_auto.lean | e6dc440afc40717ea3864aec57e8bd3b94fa56f2 | [] | no_license | AurelienSaue/Mathlib4_auto | f538cfd0980f65a6361eadea39e6fc639e9dae14 | 590df64109b08190abe22358fabc3eae000943f2 | refs/heads/master | 1,683,906,849,776 | 1,622,564,669,000 | 1,622,564,669,000 | 371,723,747 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 7,072 | lean | /-
Copyright (c) 2019 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.data.rat.basic
import Mathlib.PostPort
namespace Mathlib
/-!
# Order for ... |
ba694cd6485d9db437e306bd1a385aa4c62708e3 | 5d166a16ae129621cb54ca9dde86c275d7d2b483 | /tests/lean/run/dsimp_test.lean | fd8d3c5571666341d4407426038fbf6aac978e13 | [
"Apache-2.0"
] | permissive | jcarlson23/lean | b00098763291397e0ac76b37a2dd96bc013bd247 | 8de88701247f54d325edd46c0eed57aeacb64baf | refs/heads/master | 1,611,571,813,719 | 1,497,020,963,000 | 1,497,021,515,000 | 93,882,536 | 1 | 0 | null | 1,497,029,896,000 | 1,497,029,896,000 | null | UTF-8 | Lean | false | false | 1,414 | lean | def f : nat → nat
| 0 := 10
| (n+1) := 20 + n
open list tactic
local attribute [-simp] map head
example (a b c : nat) : head (map f [1, 2, 3]) = 20 :=
begin
dsimp [map],
guard_target head [f 1, f 2, f 3] = 20,
dsimp [f],
guard_target head [20 + 0, 20 + 1, 20 + 2] = 20,
dsimp [head],
guard_target 20 ... |
c1d00d27ec21ac058c1181efafb519405f495864 | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/category_theory/preadditive/default.lean | e15f25d832c62986b5d12d4c38932a1508b2663c | [
"Apache-2.0"
] | permissive | Lix0120/mathlib | 0020745240315ed0e517cbf32e738d8f9811dd80 | e14c37827456fc6707f31b4d1d16f1f3a3205e91 | refs/heads/master | 1,673,102,855,024 | 1,604,151,044,000 | 1,604,151,044,000 | 308,930,245 | 0 | 0 | Apache-2.0 | 1,604,164,710,000 | 1,604,163,547,000 | null | UTF-8 | Lean | false | false | 7,845 | lean | /-
Copyright (c) 2020 Markus Himmel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Markus Himmel
-/
import algebra.group.hom
import category_theory.limits.shapes.kernels
import algebra.big_operators.basic
/-!
# Preadditive categories
A preadditive category is a cate... |
17816311989633016ba26e8d9bfb2394a4678b09 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/lake/Lake/CLI/Help.lean | f94491a5c1696ed620695e3972de546c2d47c78b | [
"Apache-2.0",
"LLVM-exception",
"NCSA",
"LGPL-3.0-only",
"LicenseRef-scancode-inner-net-2.0",
"BSD-3-Clause",
"LGPL-2.0-or-later",
"Spencer-94",
"LGPL-2.1-or-later",
"HPND",
"LicenseRef-scancode-pcre",
"ISC",
"LGPL-2.1-only",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | leanprover/lean4 | 4bdf9790294964627eb9be79f5e8f6157780b4cc | f1f9dc0f2f531af3312398999d8b8303fa5f096b | refs/heads/master | 1,693,360,665,786 | 1,693,350,868,000 | 1,693,350,868,000 | 129,571,436 | 2,827 | 311 | Apache-2.0 | 1,694,716,156,000 | 1,523,760,560,000 | Lean | UTF-8 | Lean | false | false | 8,239 | lean | /-
Copyright (c) 2017 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gabriel Ebner, Sebastian Ullrich, Mac Malone
-/
import Lake.Version
namespace Lake
def usage :=
uiVersionString ++ "
USAGE:
lake [OPTIONS] <COMMAND>
OPTIONS:
--version ... |
812c4c6149883659a8cc2794d0cec08187992e0e | 271e26e338b0c14544a889c31c30b39c989f2e0f | /tests/lean/run/typeclass_coerce.lean | 4c669381dc338ae43e4edfe2f9928a9bb2a57dc0 | [
"Apache-2.0"
] | permissive | dgorokho/lean4 | 805f99b0b60c545b64ac34ab8237a8504f89d7d4 | e949a052bad59b1c7b54a82d24d516a656487d8a | refs/heads/master | 1,607,061,363,851 | 1,578,006,086,000 | 1,578,006,086,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,809 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Daniel Selsam, Leonardo de Moura
Declare new, simpler coercion class without the special support for transitivity.
Test that new tabled typeclass resolution deals with loops an... |
732a4eca2bb325fb0b0128594691cb5186d4826d | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/data/nat/choose/bounds.lean | 113353b97d516449f8af342a10d171fab24a4da9 | [
"Apache-2.0"
] | permissive | jcommelin/mathlib | d8456447c36c176e14d96d9e76f39841f69d2d9b | ee8279351a2e434c2852345c51b728d22af5a156 | refs/heads/master | 1,664,782,136,488 | 1,663,638,983,000 | 1,663,638,983,000 | 132,563,656 | 0 | 0 | Apache-2.0 | 1,663,599,929,000 | 1,525,760,539,000 | Lean | UTF-8 | Lean | false | false | 1,295 | lean | /-
Copyright (c) 2021 Yaël Dillies. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yaël Dillies, Eric Rodriguez
-/
import algebra.group_power.lemmas
import algebra.order.field
import data.nat.cast
import data.nat.choose.basic
/-!
# Inequalities for binomial coefficie... |
fb8f13efdffebfca7081d93be9ccbfa4fe39c42e | 46125763b4dbf50619e8846a1371029346f4c3db | /src/topology/metric_space/antilipschitz.lean | 59b7c1d1f20f633b381b093ea0696a49b62e57f3 | [
"Apache-2.0"
] | permissive | thjread/mathlib | a9d97612cedc2c3101060737233df15abcdb9eb1 | 7cffe2520a5518bba19227a107078d83fa725ddc | refs/heads/master | 1,615,637,696,376 | 1,583,953,063,000 | 1,583,953,063,000 | 246,680,271 | 0 | 0 | Apache-2.0 | 1,583,960,875,000 | 1,583,960,875,000 | null | UTF-8 | Lean | false | false | 4,060 | lean | /-
Copyright (c) 2020 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov
-/
import topology.metric_space.lipschitz
/-!
# Antilipschitz functions
We say that a map `f : α → β` between two (extended) metric spaces is
`antilipschitz_with K`,... |
a543610020add948981cc17a9c144ac2697c4118 | 2fbe653e4bc441efde5e5d250566e65538709888 | /src/analysis/asymptotics.lean | 40e6c19cea94ac4acbb23fd4da4c791d3a6d42df | [
"Apache-2.0"
] | permissive | aceg00/mathlib | 5e15e79a8af87ff7eb8c17e2629c442ef24e746b | 8786ea6d6d46d6969ac9a869eb818bf100802882 | refs/heads/master | 1,649,202,698,930 | 1,580,924,783,000 | 1,580,924,783,000 | 149,197,272 | 0 | 0 | Apache-2.0 | 1,537,224,208,000 | 1,537,224,207,000 | null | UTF-8 | Lean | false | false | 40,162 | lean | /-
Copyright (c) 2019 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Yury Kudryashov
-/
import analysis.normed_space.basic tactic.alias
/-!
# Asymptotics
We introduce these relations:
* `is_O_with c f g l` : "f is big O of g along l wi... |
3a5dcaf67326e5ddfbcb1cbbc74f81207d39f679 | 64874bd1010548c7f5a6e3e8902efa63baaff785 | /tests/lean/run/class5.lean | 23a89b7f6f5578ebd5fe19714a4b6fc6dc9e98c5 | [
"Apache-2.0"
] | permissive | tjiaqi/lean | 4634d729795c164664d10d093f3545287c76628f | d0ce4cf62f4246b0600c07e074d86e51f2195e30 | refs/heads/master | 1,622,323,796,480 | 1,422,643,069,000 | 1,422,643,069,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,359 | lean | import logic
namespace experiment
namespace algebra
inductive mul_struct [class] (A : Type) : Type :=
mk : (A → A → A) → mul_struct A
definition mul {A : Type} [s : mul_struct A] (a b : A)
:= mul_struct.rec (λ f, f) s a b
infixl `*` := mul
end algebra
open algebra
namespace nat
inductive nat : Type :=
... |
514c7e9ab044b85a8f063f16daaae284fde301d9 | c86b74188c4b7a462728b1abd659ab4e5828dd61 | /stage0/src/Init/Data/Hashable.lean | 4a4188851444b489661c3864d4cc69fb3fc4032e | [
"Apache-2.0"
] | permissive | cwb96/lean4 | 75e1f92f1ba98bbaa6b34da644b3dfab2ce7bf89 | b48831cda76e64f13dd1c0edde7ba5fb172ed57a | refs/heads/master | 1,686,347,881,407 | 1,624,483,842,000 | 1,624,483,842,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,039 | lean | /-
Copyright (c) 2016 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
prelude
import Init.Data.UInt
import Init.Data.String
universes u
instance : Hashable Nat where
hash n := UInt64.ofNat n
instance [Hashable α] [Hashable... |
a4174685b6bed307e62c9562be34f5a5e9297052 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/algebra/algebra/basic.lean | 9194f766831e193704e3a29130d8497a02bfbde3 | [
"Apache-2.0"
] | permissive | alreadydone/mathlib | dc0be621c6c8208c581f5170a8216c5ba6721927 | c982179ec21091d3e102d8a5d9f5fe06c8fafb73 | refs/heads/master | 1,685,523,275,196 | 1,670,184,141,000 | 1,670,184,141,000 | 287,574,545 | 0 | 0 | Apache-2.0 | 1,670,290,714,000 | 1,597,421,623,000 | Lean | UTF-8 | Lean | false | false | 71,959 | lean | /-
Copyright (c) 2018 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau, Yury Kudryashov
-/
import algebra.module.basic
import algebra.module.ulift
import algebra.ne_zero
import algebra.ring.aut
import algebra.ring.ulift
import algebra.char_zero.lemma... |
0ab2d3ee10c4301bb8cace4681cb9b95195ecf10 | 82e44445c70db0f03e30d7be725775f122d72f3e | /test/lift.lean | a9461a9d43227141d513ae5577f59af42cc32192 | [
"Apache-2.0"
] | permissive | stjordanis/mathlib | 51e286d19140e3788ef2c470bc7b953e4991f0c9 | 2568d41bca08f5d6bf39d915434c8447e21f42ee | refs/heads/master | 1,631,748,053,501 | 1,627,938,886,000 | 1,627,938,886,000 | 228,728,358 | 0 | 0 | Apache-2.0 | 1,576,630,588,000 | 1,576,630,587,000 | null | UTF-8 | Lean | false | false | 3,795 | lean | import tactic.lift
import data.set.basic
import data.int.basic
/-! Some tests of the `lift` tactic. -/
example (n m k x z u : ℤ) (hn : 0 < n) (hk : 0 ≤ k + n) (hu : 0 ≤ u)
(h : k + n = 2 + x) (f : false) :
k + n = m + x :=
begin
lift n to ℕ using le_of_lt hn,
guard_target (k + ↑n = m + x), guard_hyp hn : (0... |
28139232eedda28a608c4d47c0be3f9f7dc9d16a | b074a51e20fdb737b2d4c635dd292fc54685e010 | /src/analysis/convex.lean | a5f41b295721c3d8e6bb31f5f7b091d2534b0acb | [
"Apache-2.0"
] | permissive | minchaowu/mathlib | 2daf6ffdb5a56eeca403e894af88bcaaf65aec5e | 879da1cf04c2baa9eaa7bd2472100bc0335e5c73 | refs/heads/master | 1,609,628,676,768 | 1,564,310,105,000 | 1,564,310,105,000 | 99,461,307 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 27,711 | lean | /-
Copyright (c) 2019 Alexander Bentkamp. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Alexander Bentkamp
Convex sets and functions on real vector spaces
-/
import analysis.normed_space.basic
import data.complex.basic
import data.set.intervals
import tactic.interac... |
23a12734916ddb71b879f75fa2e65f9dbc692cfa | e1da55f4222dac91b940ca052928eaace09762da | /src/witness.lean | 8ef553a2aaea1362bd67cbc48f17f5bc917c8e3e | [] | no_license | b-mehta/regularity-lemma | c5826e22c280d0b073a4e62dba731f4dd3d1b69f | cf26082b0c88fa54276e6fdc3338c15e607c52c6 | refs/heads/master | 1,658,209,524,267 | 1,644,406,456,000 | 1,644,406,456,000 | 457,327,371 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,528 | lean | /-
Copyright (c) 2021 Yaël Dillies, Bhavik Mehta. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yaël Dillies, Bhavik Mehta
-/
import .mathlib
/-!
# Witnesses of non uniformity
-/
open_locale classical
variables {α : Type*}
namespace simple_graph
variables (G : sim... |
e5cee6cc6c2999f7974142be1109ae4a555d5d78 | d7189ea2ef694124821b033e533f18905b5e87ef | /galois/list/filter_some.lean | 85be4577d5f14184293cccf8035110d81215b693 | [
"Apache-2.0"
] | permissive | digama0/lean-protocol-support | eaa7e6f8b8e0d5bbfff1f7f52bfb79a3b11b0f59 | cabfa3abedbdd6fdca6e2da6fbbf91a13ed48dda | refs/heads/master | 1,625,421,450,627 | 1,506,035,462,000 | 1,506,035,462,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 551 | lean | universes u
namespace list
def filter_some {A : Type u} : list (option A) → list A
| [] := []
| (mx :: xs) := (match mx with
| none := λ l, l
| some x := list.cons x
end) (filter_some xs)
lemma map_filter_some {A B} (f : A → B) (xs : list (option A))
: filter_some (map (option.map f) xs)
= map f (filter_so... |
faa55138b3e27e052fcf341152031551cb910d4d | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/data/polynomial/laurent.lean | d89c24a6a75f0aba250c86c3751d40a96576c425 | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 20,134 | lean | /-
Copyright (c) 2022 Damiano Testa. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Damiano Testa
-/
import data.polynomial.algebra_map
import ring_theory.localization.basic
/-! # Laurent polynomials
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this ... |
d5544724e00354465b83f381ca6e5e3303140776 | 94e33a31faa76775069b071adea97e86e218a8ee | /src/category_theory/preadditive/eilenberg_moore.lean | 6f7c657336dc473a99b2b58ac1a472ef59255075 | [
"Apache-2.0"
] | permissive | urkud/mathlib | eab80095e1b9f1513bfb7f25b4fa82fa4fd02989 | 6379d39e6b5b279df9715f8011369a301b634e41 | refs/heads/master | 1,658,425,342,662 | 1,658,078,703,000 | 1,658,078,703,000 | 186,910,338 | 0 | 0 | Apache-2.0 | 1,568,512,083,000 | 1,557,958,709,000 | Lean | UTF-8 | Lean | false | false | 3,177 | lean | /-
Copyright (c) 2022 Julian Kuelshammer. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Julian Kuelshammer
-/
import category_theory.preadditive.default
import category_theory.monad.algebra
import category_theory.preadditive.additive_functor
/-!
# Preadditive struct... |
0740bb019fbd057c46815d95a0fd4ea4377320df | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/ring_theory/roots_of_unity/basic.lean | 1af2919d9c7438e9be87b658d6b223e42a4fa6cb | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 38,044 | lean | /-
Copyright (c) 2020 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin
-/
import algebra.char_p.two
import algebra.ne_zero
import algebra.gcd_monoid.integrally_closed
import data.polynomial.ring_division
import field_theory.finite.basic
im... |
0ef0e0776e103a32adf06aee4fe4b3fb7400aca0 | b00eb947a9c4141624aa8919e94ce6dcd249ed70 | /stage0/src/Init/Core.lean | bf0495da2c68d5f475fe02dc54f4c49b5626bff2 | [
"Apache-2.0"
] | permissive | gebner/lean4-old | a4129a041af2d4d12afb3a8d4deedabde727719b | ee51cdfaf63ee313c914d83264f91f414a0e3b6e | refs/heads/master | 1,683,628,606,745 | 1,622,651,300,000 | 1,622,654,405,000 | 142,608,821 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 34,931 | lean | /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
notation, basic datatypes and type classes
-/
prelude
import Init.Prelude
import Init.SizeOf
universes u v w
def inline {α : Sort u} (a : α) : α := a
@[inl... |
93425f0e57d52060192174097d5d085f8f880788 | 246309748072bf9f8da313401699689ebbecd94d | /src/linear_algebra/affine_space/finite_dimensional.lean | 28de424121529caf6e96b3c575ff81e0d4bf5b67 | [
"Apache-2.0"
] | permissive | YJMD/mathlib | b703a641e5f32a996f7842f7c0043bab2b462ee2 | 7310eab9fa8c1b1229dca42682f1fa6bfb7dbbf9 | refs/heads/master | 1,670,714,479,314 | 1,599,035,445,000 | 1,599,035,445,000 | 292,279,930 | 0 | 0 | null | 1,599,050,561,000 | 1,599,050,560,000 | null | UTF-8 | Lean | false | false | 4,321 | lean | /-
Copyright (c) 2020 Joseph Myers. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Joseph Myers.
-/
import linear_algebra.affine_space.independent
import linear_algebra.finite_dimensional
noncomputable theory
open_locale big_operators
open_locale classical
/-!
# Finit... |
5582dec3c3994b5dec52951818f36b05d9d303d2 | 9dd3f3912f7321eb58ee9aa8f21778ad6221f87c | /tests/lean/run/opt_param_cc.lean | 1d1596b92ba161b67308d52be7f06cea10ce9266 | [
"Apache-2.0"
] | permissive | bre7k30/lean | de893411bcfa7b3c5572e61b9e1c52951b310aa4 | 5a924699d076dab1bd5af23a8f910b433e598d7a | refs/heads/master | 1,610,900,145,817 | 1,488,006,845,000 | 1,488,006,845,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 733 | lean | def f (a : nat) (b : nat := a) (c : nat := a) :=
a + b + c
lemma ex1 (a a' b c d : nat) (h : b = c) (h2 : a = a') : f a b d = f a' c d :=
by cc
lemma ex2 (a a' b c d : nat) (h : b = c) (h2 : a = a') : f a b d = f a' c d :=
by rw [h, h2]
set_option pp.beta true
set_option pp.all true
lemma ex3 (a a' b c d : nat) (h ... |
deebf6891efe4f308f5a34c6a5d6856eee0d1e3f | 618003631150032a5676f229d13a079ac875ff77 | /src/linear_algebra/basis.lean | ee2099716466801292c0ba9b19744b317d8e2640 | [
"Apache-2.0"
] | permissive | awainverse/mathlib | 939b68c8486df66cfda64d327ad3d9165248c777 | ea76bd8f3ca0a8bf0a166a06a475b10663dec44a | refs/heads/master | 1,659,592,962,036 | 1,590,987,592,000 | 1,590,987,592,000 | 268,436,019 | 1 | 0 | Apache-2.0 | 1,590,990,500,000 | 1,590,990,500,000 | null | UTF-8 | Lean | false | false | 53,189 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro, Alexander Bentkamp
-/
import linear_algebra.finsupp
import linear_algebra.projection
import order.zorn
import data.fintype.card
/-!
# Linear independe... |
3426ce3ef56adb25e649f8fe9055317baff88b3d | d1bbf1801b3dcb214451d48214589f511061da63 | /src/analysis/specific_limits.lean | 1447b2ff4f7a3ca68e06241d9c07b2c6623c71b6 | [
"Apache-2.0"
] | permissive | cheraghchi/mathlib | 5c366f8c4f8e66973b60c37881889da8390cab86 | f29d1c3038422168fbbdb2526abf7c0ff13e86db | refs/heads/master | 1,676,577,831,283 | 1,610,894,638,000 | 1,610,894,638,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 29,354 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
-/
import algebra.geom_sum
import order.filter.archimedean
import order.iterate
import topology.instances.ennreal
import tactic.ring_exp
import analysis.asymptotics
/-!... |
1f18574a833e6151c35ca08a7d3351fea5a45509 | fe84e287c662151bb313504482b218a503b972f3 | /src/algebra/convolution.lean | 7f72dc07b26de705633a835edf3d0bbeaf87f38e | [] | no_license | NeilStrickland/lean_lib | 91e163f514b829c42fe75636407138b5c75cba83 | 6a9563de93748ace509d9db4302db6cd77d8f92c | refs/heads/master | 1,653,408,198,261 | 1,652,996,419,000 | 1,652,996,419,000 | 181,006,067 | 4 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 19,351 | lean | /-
Copyright (c) 2019 Neil Strickland. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Neil Strickland
This file sets up a framework for convolution. The first ingredient
is an additive monoid `M` with the property that for any `m ∈ M`, the
set `{⟨x,y⟩ : x + y = m}` i... |
dfa548da9ebe15be9d38c40b4a9ff38be8cc9e2a | 0c0281448f624a53333195786d9730b1592ee3ac | /Relation.lean | 90eee9756ac2cb4381bad08bc6168e9c04b273ff | [] | no_license | kindaro/lean_study | ce788f8dd1adaef2e12d6f94ab88685da34b0877 | 8219865eb9f068f132fe4ce0ae4a2fb76b1f5865 | refs/heads/master | 1,693,155,825,536 | 1,634,312,849,000 | 1,634,312,849,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,668 | lean | import Automation
open tactic
def ℙ := Prop
class Same (φ: Type) := (same: φ → φ → ℙ)
notation x `≡` y := Same.same x y
instance Same_arrow (α β: Type) [Same β]: Same (α → β) := Same.mk (λ f₁ f₂, ∀ x, f₁ x ≡ f₂ x)
instance Same_proposition: Same ℙ := Same.mk (λ p q, p ↔ q)
notation α `~` β := α → β → ℙ
def identity {... |
64207b3d51c19c9246a8e4e84ebe040059d88a6f | 206422fb9edabf63def0ed2aa3f489150fb09ccb | /src/data/zmod/basic.lean | a756c365694b1a09beddca5f1f6a69f09c93ff5b | [
"Apache-2.0"
] | permissive | hamdysalah1/mathlib | b915f86b2503feeae268de369f1b16932321f097 | 95454452f6b3569bf967d35aab8d852b1ddf8017 | refs/heads/master | 1,677,154,116,545 | 1,611,797,994,000 | 1,611,797,994,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 28,034 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Chris Hughes
-/
import data.int.modeq
import algebra.char_p.basic
import data.nat.totient
import ring_theory.ideal.operations
/-!
# Integers mod `n`
Definition of the integers mod n, a... |
c350376f1d88a7c23b3292c44c2d6b06ddf1e9b5 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/tactic/norm_num.lean | 9da27cf51910fe19ca6349d60415082e10ad1bf7 | [] | no_license | AurelienSaue/Mathlib4_auto | f538cfd0980f65a6361eadea39e6fc639e9dae14 | 590df64109b08190abe22358fabc3eae000943f2 | refs/heads/master | 1,683,906,849,776 | 1,622,564,669,000 | 1,622,564,669,000 | 371,723,747 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 25,188 | lean | /-
Copyright (c) 2017 Simon Hudon All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon, Mario Carneiro
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.data.rat.cast
import Mathlib.data.rat.meta_defs
import Mathlib.PostPort
universes... |
a24c0c7d9ca1f97329613b6833e764c32b4cfd67 | 437dc96105f48409c3981d46fb48e57c9ac3a3e4 | /src/ring_theory/power_series.lean | f9e84ec9ebe7e81fceeafbcbfdcbcd05b8811900 | [
"Apache-2.0"
] | permissive | dan-c-k/mathlib | 08efec79bd7481ee6da9cc44c24a653bff4fbe0d | 96efc220f6225bc7a5ed8349900391a33a38cc56 | refs/heads/master | 1,658,082,847,093 | 1,589,013,201,000 | 1,589,013,201,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 57,842 | lean | /-
Copyright (c) 2019 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin, Kenny Lau
-/
import data.mv_polynomial
import ring_theory.ideal_operations
import tactic.linarith
/-!
# Formal power series
This file defines (multivariate) formal po... |
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