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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
bbe0f556863cb96f7d3e30b4a8d57b831db7e0c7 | b3fced0f3ff82d577384fe81653e47df68bb2fa1 | /src/measure_theory/outer_measure.lean | 608799a9da3177f91bca99e36e6a38d49772252e | [
"Apache-2.0"
] | permissive | ratmice/mathlib | 93b251ef5df08b6fd55074650ff47fdcc41a4c75 | 3a948a6a4cd5968d60e15ed914b1ad2f4423af8d | refs/heads/master | 1,599,240,104,318 | 1,572,981,183,000 | 1,572,981,183,000 | 219,830,178 | 0 | 0 | Apache-2.0 | 1,572,980,897,000 | 1,572,980,896,000 | null | UTF-8 | Lean | false | false | 19,571 | 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
Outer measures -- overapproximations of measures
-/
import algebra.big_operators algebra.module
topology.instances.ennreal analysis.specific_lim... |
5c311668ff3ac94c3d0e70df4c22fb52c9958d42 | c5b07d17b3c9fb19e4b302465d237fd1d988c14f | /src/functors/polynomial.lean | 90ecc988c308af3e5584138c281e98ad7fbd6024 | [
"MIT"
] | permissive | skaslev/papers | acaec61602b28c33d6115e53913b2002136aa29b | f15b379f3c43bbd0a37ac7bb75f4278f7e901389 | refs/heads/master | 1,665,505,770,318 | 1,660,378,602,000 | 1,660,378,602,000 | 14,101,547 | 0 | 1 | MIT | 1,595,414,522,000 | 1,383,542,702,000 | Lean | UTF-8 | Lean | false | false | 1,357 | lean | import data.iso
import functors.family
-- Polynomial functor
-- poly(c) = Σ i:c, x^c(i)
def poly (c : fam Type*) (X : Type*) :=
Σ i : c, c i → X
-- qpf(c,r) = Σ i:c, x^c(i) / r(i)
def qpf (c : fam Type*) (r : Π i X, rel (c i → X)) (X : Type*) :=
Σ i : c, quot (r i X)
-- poly(c) ↪ qpf(c, ordered)
def poly.lift_qpf {c... |
216bfb5b411e94fc2de4d18bdea0ebf647e649c4 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/Lean/Compiler/LCNF/Probing.lean | 8817b5ba44da5bbe2d7e0b54a824de075a2ec684 | [
"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 | 7,062 | lean | /-
Copyright (c) 2022 Henrik Böving. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Henrik Böving
-/
import Lean.Compiler.LCNF.CompilerM
import Lean.Compiler.LCNF.PassManager
import Lean.Compiler.LCNF.PhaseExt
import Lean.Compiler.LCNF.ForEachExpr
namespace Lean.Compi... |
d9b09150b36c6105f6737d69b4006be8ef407861 | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /hott/algebra/category/constructions/product.hlean | 777488013d33c2acc049c3d91df28d42a0a76345 | [
"Apache-2.0"
] | permissive | soonhokong/lean-osx | 4a954262c780e404c1369d6c06516161d07fcb40 | 3670278342d2f4faa49d95b46d86642d7875b47c | refs/heads/master | 1,611,410,334,552 | 1,474,425,686,000 | 1,474,425,686,000 | 12,043,103 | 5 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 5,458 | 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, Jakob von Raumer
Product precategory and (TODO) category
-/
import ..category ..nat_trans hit.trunc
open eq prod is_trunc functor sigma trunc iso prod.ops nat_tr... |
8563b6e4756a2648b0d49069d2c77230c05b26bb | ae1e94c332e17c7dc7051ce976d5a9eebe7ab8a5 | /src/Lean/Elab/Frontend.lean | aec916031dfb69a9d07db46103c2ca2020173d84 | [
"Apache-2.0"
] | permissive | dupuisf/lean4 | d082d13b01243e1de29ae680eefb476961221eef | 6a39c65bd28eb0e28c3870188f348c8914502718 | refs/heads/master | 1,676,948,755,391 | 1,610,665,114,000 | 1,610,665,114,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,203 | 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, Sebastian Ullrich
-/
import Lean.Elab.Import
import Lean.Elab.Command
import Lean.Util.Profile
namespace Lean.Elab.Frontend
structure State where
commandS... |
f8b718d4d30036746d507e433828e8b072abb240 | bb31430994044506fa42fd667e2d556327e18dfe | /src/number_theory/arithmetic_function.lean | 2d05ecfe97d50c408143c3774e02d984f109f126 | [
"Apache-2.0"
] | permissive | sgouezel/mathlib | 0cb4e5335a2ba189fa7af96d83a377f83270e503 | 00638177efd1b2534fc5269363ebf42a7871df9a | refs/heads/master | 1,674,527,483,042 | 1,673,665,568,000 | 1,673,665,568,000 | 119,598,202 | 0 | 0 | null | 1,517,348,647,000 | 1,517,348,646,000 | null | UTF-8 | Lean | false | false | 35,812 | lean | /-
Copyright (c) 2020 Aaron Anderson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Aaron Anderson
-/
import algebra.big_operators.ring
import algebra.module.big_operators
import number_theory.divisors
import data.nat.squarefree
import data.nat.gcd.big_operators
impor... |
60c748bf84e0ab4a4589393962955915bd9828b0 | 80cc5bf14c8ea85ff340d1d747a127dcadeb966f | /src/category_theory/functor_category.lean | b32ad84014db5186fa78aac3c2d95fc3aeb4dcda | [
"Apache-2.0"
] | permissive | lacker/mathlib | f2439c743c4f8eb413ec589430c82d0f73b2d539 | ddf7563ac69d42cfa4a1bfe41db1fed521bd795f | refs/heads/master | 1,671,948,326,773 | 1,601,479,268,000 | 1,601,479,268,000 | 298,686,743 | 0 | 0 | Apache-2.0 | 1,601,070,794,000 | 1,601,070,794,000 | null | UTF-8 | Lean | false | false | 4,412 | lean | /-
Copyright (c) 2017 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Tim Baumann, Stephen Morgan, Scott Morrison, Floris van Doorn
-/
import category_theory.natural_transformation
namespace category_theory
universes v₁ v₂ v₃ u₁ u₂ u₃ -- declare the `v... |
8808bf76142a0246ad9c896c2f5cb526ed5b07bb | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/algebra/lie/direct_sum.lean | c75c66f22566df65e013bec14c9a8d6e5bc9b358 | [
"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 | 9,115 | lean | /-
Copyright (c) 2020 Oliver Nash. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Oliver Nash
-/
import algebra.lie.basic
import algebra.lie.submodule
import algebra.lie.of_associative
import linear_algebra.direct_sum.finsupp
/-!
# Direct sums of Lie algebras and Lie ... |
d41b73ca265b5a419263cf99d5f96535f18f039a | c777c32c8e484e195053731103c5e52af26a25d1 | /src/linear_algebra/cross_product.lean | 67f47a6f8ec055b9eac2c1381ffa3590598b53f3 | [
"Apache-2.0"
] | permissive | kbuzzard/mathlib | 2ff9e85dfe2a46f4b291927f983afec17e946eb8 | 58537299e922f9c77df76cb613910914a479c1f7 | refs/heads/master | 1,685,313,702,744 | 1,683,974,212,000 | 1,683,974,212,000 | 128,185,277 | 1 | 0 | null | 1,522,920,600,000 | 1,522,920,600,000 | null | UTF-8 | Lean | false | false | 5,352 | lean | /-
Copyright (c) 2021 Martin Dvorak. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Martin Dvorak, Kyle Miller, Eric Wieser
-/
import data.matrix.notation
import linear_algebra.bilinear_map
import linear_algebra.matrix.determinant
import algebra.lie.basic
/-!
# Cross... |
3f8ad0034905a74dacd0da83bd95120fccaf4f32 | 302c785c90d40ad3d6be43d33bc6a558354cc2cf | /src/algebra/ring/basic.lean | e9cca497ba4231959cf7591b4b41cb1f2f4c467a | [
"Apache-2.0"
] | permissive | ilitzroth/mathlib | ea647e67f1fdfd19a0f7bdc5504e8acec6180011 | 5254ef14e3465f6504306132fe3ba9cec9ffff16 | refs/heads/master | 1,680,086,661,182 | 1,617,715,647,000 | 1,617,715,647,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 41,136 | lean | /-
Copyright (c) 2014 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Leonardo de Moura, Floris van Doorn, Amelia Livingston, Yury Kudryashov,
Neil Strickland
-/
import algebra.divisibility
import data.set.basic
/-!
# Properties and homomo... |
9412c4d7e06070facf2fc73d46b9838d100f4526 | 7b66d83f3b69dae0a3dfb684d7ebe5e9e3f3c913 | /src/exercises_sources/thursday/afternoon/category_theory/exercise6.lean | 0cd8f15e8db14ea1e116f7183307f644e0790d1a | [] | permissive | dpochekutov/lftcm2020 | 58a09e10f0e638075b97884d3c2612eb90296adb | cdfbf1ac089f21058e523db73f2476c9c98ed16a | refs/heads/master | 1,669,226,265,076 | 1,594,629,725,000 | 1,594,629,725,000 | 279,213,346 | 1 | 0 | MIT | 1,594,622,757,000 | 1,594,615,843,000 | null | UTF-8 | Lean | false | false | 1,316 | lean | import algebra.category.Module.basic
import linear_algebra.finite_dimensional
/-!
Every monomorphism in fdVec splits.
This is not-so-secretly an exercise in using the linear algebra library
-/
variables (𝕜 : Type) [field 𝕜]
open category_theory
abbreviation Vec := Module 𝕜
@[derive category]
def fdVec := { V :... |
ba8c898e70c303371e17c9c5fac96d9c8f7144c5 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/linear_algebra/matrix/zpow.lean | fb7ff4cc6d15f69d56d0aa53d6de8bdf39d04da1 | [
"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 | 12,547 | lean | /-
Copyright (c) 2021 Yakov Pechersky. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yakov Pechersky
-/
import linear_algebra.matrix.nonsingular_inverse
/-!
# Integer powers of square matrices
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file req... |
85e417b15a69d869d55ed47d00ba5dfe53aa935d | 44023683920a51f2416cf51eeab3fc51c3ff0765 | /tests/lean/run/rb_map1.lean | 2c1ce172f11a8765281df63650b2dac15cc7063e | [
"Apache-2.0"
] | permissive | pirocks/lean | e6e3e3fd20c5e7877f7efc3b50e5e20271e8d0cf | 368f17d0b1392a5a72c9eb974f15b14462cc1475 | refs/heads/master | 1,620,671,385,768 | 1,516,152,564,000 | 1,516,152,564,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 742 | lean | import system.io
open io
section
open native.nat_map
#eval size (insert (insert (mk nat) 10 20) 10 21)
meta definition m := (insert (insert (insert (mk nat) 10 20) 5 50) 10 21)
#eval find m 10
#eval find m 5
#eval find m 8
#eval contains m 5
#eval contains m 8
open list
meta definition m2 := of_list [((1:nat), "on... |
1c8a1c8e243a97cebeef76d9e166327ff55848e1 | 05f637fa14ac28031cb1ea92086a0f4eb23ff2b1 | /tests/lean/lua8.lean | 7713ad357afb1653800cdc49b9ce7261345c0218 | [
"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 | 242 | lean | import Int.
variable x : Int
(*
local env = get_environment()
ty_x = env:type_check(Const("x"))
c = context()
c = context(c, "x", ty_x)
c = context(c, "y", ty_x)
print(c)
o = env:find_object("x")
print(o)
o = env:find_object("y")
print(o)
*) |
46f475ae79bc3ea7a592d7c1231c73233143c802 | 4bcaca5dc83d49803f72b7b5920b75b6e7d9de2d | /src/Lean/Elab/PreDefinition/Main.lean | 1559c6e987e5386d3f24c5ef4e5557425dfdf24b | [
"Apache-2.0"
] | permissive | subfish-zhou/leanprover-zh_CN.github.io | 30b9fba9bd790720bd95764e61ae796697d2f603 | 8b2985d4a3d458ceda9361ac454c28168d920d3f | refs/heads/master | 1,689,709,967,820 | 1,632,503,056,000 | 1,632,503,056,000 | 409,962,097 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,847 | lean | /-
Copyright (c) 2020 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Elab.PreDefinition.Basic
import Lean.Elab.PreDefinition.Structural
import Lean.Elab.PreDefinition.WF
namespace Lean.Elab
open Meta
open Term
pr... |
d31e6f31cefa980dba1d89ffedcd74042c394e60 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/lake/test/precompileArgs/lakefile.lean | b52d6f25b8d1cb3121702141446bb67fbd4ec44b | [
"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 | 144 | lean | import Lake
open Lake DSL
package precompileArgs
@[default_target]
lean_lib Foo {
precompileModules := true
moreLinkArgs := #["-lBaz"]
}
|
e9f91f982c65d02f76fb3a5934b6e788500ebb06 | f3a5af2927397cf346ec0e24312bfff077f00425 | /src/tactic/clear_leaks.lean | b880f6bb40c5e9c240e30a84f65a09b41ff241da | [
"Apache-2.0"
] | permissive | ImperialCollegeLondon/natural_number_game | 05c39e1586408cfb563d1a12e1085a90726ab655 | f29b6c2884299fc63fdfc81ae5d7daaa3219f9fd | refs/heads/master | 1,688,570,964,990 | 1,636,908,242,000 | 1,636,908,242,000 | 195,403,790 | 277 | 84 | Apache-2.0 | 1,694,547,955,000 | 1,562,328,792,000 | Lean | UTF-8 | Lean | false | false | 33 | lean | -- not sure this is ever imported |
7c2b741f37c95746d366546d6c709e871e84f6db | 969dbdfed67fda40a6f5a2b4f8c4a3c7dc01e0fb | /src/algebra/category/Semigroup/basic.lean | 94ffe60cb45a210f026abaeb8e282f0c2e2a071c | [
"Apache-2.0"
] | permissive | SAAluthwela/mathlib | 62044349d72dd63983a8500214736aa7779634d3 | 83a4b8b990907291421de54a78988c024dc8a552 | refs/heads/master | 1,679,433,873,417 | 1,615,998,031,000 | 1,615,998,031,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 6,324 | lean | /-
Copyright (c) 2021 Julian Kuelshammer. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Julian Kuelshammer (heavily based on `Mon.basic` by Scott Morrison)
-/
import category_theory.concrete_category.bundled_hom
import category_theory.concrete_category.reflects_isomor... |
5a7a3cea4e0d2111b309f1d87c30c664c7a150f5 | 75db7e3219bba2fbf41bf5b905f34fcb3c6ca3f2 | /hott/types/pi.hlean | 32affc0866b566ffbdbb53196de8e393db753b06 | [
"Apache-2.0"
] | permissive | jroesch/lean | 30ef0860fa905d35b9ad6f76de1a4f65c9af6871 | 3de4ec1a6ce9a960feb2a48eeea8b53246fa34f2 | refs/heads/master | 1,586,090,835,348 | 1,455,142,203,000 | 1,455,142,277,000 | 51,536,958 | 1 | 0 | null | 1,455,215,811,000 | 1,455,215,811,000 | null | UTF-8 | Lean | false | false | 11,776 | hlean | /-
Copyright (c) 2014-15 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Floris van Doorn
Partially ported from Coq HoTT
Theorems about pi-types (dependent function spaces)
-/
import types.sigma arity
open eq equiv is_equiv funext sigma unit bool is_... |
cdefded269cb1940a3149cd9c049c762bb16a552 | 94e33a31faa76775069b071adea97e86e218a8ee | /src/analysis/normed_space/weak_dual.lean | 36408415a2d67c75f2a9a010684b293bd929a36a | [
"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 | 10,011 | lean | /-
Copyright (c) 2021 Kalle Kytölä. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kalle Kytölä, Yury Kudryashov
-/
import topology.algebra.module.weak_dual
import analysis.normed_space.dual
import analysis.normed_space.operator_norm
/-!
# Weak dual of normed space
L... |
0920028515af6d3eadc22e5f6333ee55dd47e2f6 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/matcherElimUniv.lean | 0df5d48760ad5d2e398104614864b739782ca7d0 | [
"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 | 163 | lean |
universe u
def len {α : Type u} : List α → List α → Nat
| [], bs => bs.length
| a::as, bs => len as bs + 1
theorem ex1 : len [1, 2] [3, 4] = 4 :=
rfl
|
3fe7535b56e5645488a744c88a6d129dad823e33 | 6fca17f8d5025f89be1b2d9d15c9e0c4b4900cbf | /src/game/world9/level1.lean | 18c94dd00dc8124344912de9f5fd990b500db22f | [
"Apache-2.0"
] | permissive | arolihas/natural_number_game | 4f0c93feefec93b8824b2b96adff8b702b8b43ce | 8e4f7b4b42888a3b77429f90cce16292bd288138 | refs/heads/master | 1,621,872,426,808 | 1,586,270,467,000 | 1,586,270,467,000 | 253,648,466 | 0 | 0 | null | 1,586,219,694,000 | 1,586,219,694,000 | null | UTF-8 | Lean | false | false | 1,324 | lean | import game.world8.level13 -- hide
import game.world3.level9
namespace mynat -- hide
/-
# Advanced Multiplication World
## Level 1: `mul_pos`
Welcome to Advanced Multiplication World! Before attempting this
world you should have completed seven other worlds, including
Multiplication World and Advanced Addition World... |
006184f78b0ec8315b2bf84d9d523141fe9e4a07 | d1a52c3f208fa42c41df8278c3d280f075eb020c | /src/Lean/Widget/InteractiveDiagnostic.lean | 77692265f8d13f336e895e1e0ba36d56734c4a37 | [
"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 | cipher1024/lean4 | 6e1f98bb58e7a92b28f5364eb38a14c8d0aae393 | 69114d3b50806264ef35b57394391c3e738a9822 | refs/heads/master | 1,642,227,983,603 | 1,642,011,696,000 | 1,642,011,696,000 | 228,607,691 | 0 | 0 | Apache-2.0 | 1,576,584,269,000 | 1,576,584,268,000 | null | UTF-8 | Lean | false | false | 9,090 | lean | /-
Copyright (c) 2021 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Wojciech Nawrocki
-/
import Lean.Data.Lsp
import Lean.Message
import Lean.Elab.InfoTree
import Lean.Server.Utils
import Lean.Server.Rpc.Basic
import Lean.Widget.TaggedText
im... |
736ae925aa086f50e35f83661b47134daa04a21c | 12dabd587ce2621d9a4eff9f16e354d02e206c8e | /world02/level03.lean | 88d156e4303545cfa8432231e150ecc979ed62c5 | [] | no_license | abdelq/natural-number-game | a1b5b8f1d52625a7addcefc97c966d3f06a48263 | bbddadc6d2e78ece2e9acd40fa7702ecc2db75c2 | refs/heads/master | 1,668,606,478,691 | 1,594,175,058,000 | 1,594,175,058,000 | 278,673,209 | 0 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 168 | lean | lemma succ_add (a b : mynat) : succ a + b = succ (a + b) :=
begin
induction b with h hd,
rw add_zero,
rw add_zero,
refl,
rw add_succ,
rw add_succ,
rw ← hd,
refl,
end
|
0ea14253010855720b95106a34b8fa049f4cc16b | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/2262.lean | d57d04f1d4957a459343019951660d9ba270dcf1 | [
"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 | 193 | lean | macro "foo" noWs ":" ws "bar" : command => `(command| /-! -/)
macro "foo'" hygieneInfo noWs hygieneInfo ":" hygieneInfo ws hygieneInfo "bar" : command => `(command| /-! -/)
foo: bar
foo': bar
|
432e737760b09d8c242f1e4f03d5052c1b61cb1e | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/run/blast_cc9.lean | acf4b25bcf0d27fec5d03c611d1b0d42488f8592 | [
"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 | 406 | lean | import data.list
open perm
set_option blast.strategy "cc"
example (a b : nat) : a = b → (b = a ↔ true) :=
by blast
example (a b c : nat) : a = b → b = c → (true ↔ a = c) :=
by blast
example (l₁ l₂ l₃ : list nat) : l₁ ~ l₂ → l₂ ~ l₃ → (true ↔ l₁ ~ l₃) :=
by blast
example (l₁ l₂ l₃ : list nat) : l₁ ~ l₂ → l₂ = l₃ → (... |
1a0a46f17a5967036a61a26b8af4f4c9a9805234 | b9a81ebb9de684db509231c4469a7d2c88915808 | /src/super/default.lean | bade175432b3f269a67c2c32d5eed7fd90f81ae6 | [] | no_license | leanprover/super | 3dd81ce8d9ac3cba20bce55e84833fadb2f5716e | 47b107b4cec8f3b41d72daba9cbda2f9d54025de | refs/heads/master | 1,678,482,996,979 | 1,676,526,367,000 | 1,676,526,367,000 | 92,215,900 | 12 | 6 | null | 1,513,327,539,000 | 1,495,570,640,000 | Lean | UTF-8 | Lean | false | false | 167 | lean | /-
Copyright (c) 2017 Gabriel Ebner. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gabriel Ebner
-/
import .prover
|
03ffeca14e82a0c02303fb01092758a61ae249b0 | 592ee40978ac7604005a4e0d35bbc4b467389241 | /Library/generated/mathscheme-lean/Monoid1.lean | 400356146f86cf3d4cd12cca05bb2d977651e933 | [] | no_license | ysharoda/Deriving-Definitions | 3e149e6641fae440badd35ac110a0bd705a49ad2 | dfecb27572022de3d4aa702cae8db19957523a59 | refs/heads/master | 1,679,127,857,700 | 1,615,939,007,000 | 1,615,939,007,000 | 229,785,731 | 4 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 6,987 | lean | import init.data.nat.basic
import init.data.fin.basic
import data.vector
import .Prelude
open Staged
open nat
open fin
open vector
section Monoid1
structure Monoid1 (A : Type) : Type :=
(one : A)
(op : (A → (A → A)))
(lunit_one : (∀ {x : A} , (op one x) = x))
(runit_one : (∀ {x : A} ,... |
e1398d4cbdcbda848ae590aa2d95d0286d487e23 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/instance_naming.lean | bc8e113adf8dc675d8673bc01b3c6b476ed2d721 | [
"Apache-2.0"
] | permissive | leanprover-community/lean | 12b87f69d92e614daea8bcc9d4de9a9ace089d0e | cce7990ea86a78bdb383e38ed7f9b5ba93c60ce0 | refs/heads/master | 1,687,508,156,644 | 1,684,951,104,000 | 1,684,951,104,000 | 169,960,991 | 457 | 107 | Apache-2.0 | 1,686,744,372,000 | 1,549,790,268,000 | C++ | UTF-8 | Lean | false | false | 2,291 | lean | def foo := ℕ
namespace foo
instance : has_add foo := nat.has_add
end foo
-- verify that `foo.has_add` was created
example := foo.has_add
namespace category_theory
def functor : Type := ℕ
class is_right_adjoint (F : functor) : Prop
class preserves_limits (F : functor) : Prop
def forgetful_functor : functor := nat.ze... |
5658eab507f19af15ef56a9326e5c397f6c1417d | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/data/polynomial/degree/lemmas.lean | 18044c2c8a9d8e7d0a5be5a0e41e0fc0b6d052ca | [
"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 | 9,098 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Johannes Hölzl, Scott Morrison, Jens Wagemaker
-/
import data.polynomial.eval
import tactic.interval_cases
/-!
# Theory of degrees of polynomials
Some of the main results... |
afe5ed01c8a1bee6b80c9e927edf1bddc9ab7536 | 4fa161becb8ce7378a709f5992a594764699e268 | /src/category_theory/types.lean | c0bdd91e9c9ada28ffdd0a04138397ee312ef911 | [
"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 | 9,501 | 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, Johannes Hölzl
-/
import category_theory.fully_faithful
import data.equiv.basic
/-!
# The category `Type`.
In this section we set up the theory so tha... |
4eeaaca2a9684aa2e2f75990410d061e86cfe07f | 05f637fa14ac28031cb1ea92086a0f4eb23ff2b1 | /tests/lean/simp24.lean | 3962e035e0d2a4b61c33cafd367cf81ebabafb71 | [
"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 | 839 | lean | rewrite_set simple
add_rewrite eq_id imp_truel imp_truer Nat::add_zeror : simple
variables a b : Nat
(*
local opts = options({"simplifier", "contextual"}, false)
local t = parse_lean('λ x, a = a → x = a')
local t2, pr = simplify(t, "simple", opts)
print(t2)
print(pr)
get_environment():type_check(pr)
*)
(*
local opts =... |
0fe1ddd539d700487745ab9fa3100255b6bc4bd3 | e1440579fb0723caf9edf1ed07aee74bbf4f5ce7 | /lean-experiments/stumps-learnable/src/stump/sample_complexity.lean | 2b7302150f59d1aaf93dee4bf1373d822c47f404 | [
"Apache-2.0"
] | permissive | palmskog/coq-proba | 1ecc5b7f399894ea14d6094a31a063280a122099 | f73e2780871e2a3dd83b7ce9d3aed19f499f07e5 | refs/heads/master | 1,599,620,504,720 | 1,572,960,008,000 | 1,572,960,008,000 | 221,326,479 | 0 | 0 | Apache-2.0 | 1,573,598,769,000 | 1,573,598,768,000 | null | UTF-8 | Lean | false | false | 2,170 | lean | /-
Copyright © 2019, Oracle and/or its affiliates. All rights reserved.
-/
import analysis.complex.exponential
import ..lib.util
open real
noncomputable
def complexity (ε: ℝ) (δ: ℝ) : ℝ := (log(δ) / log(1 - ε)) - (1: nat)
lemma complexity_enough:
∀ ε: nnreal, ∀ δ: nnreal, ∀ n: ℕ,
ε > (0: nnreal) → ε < (1: ... |
389c17af69c49e4829c10dae8f9694a30752aa39 | 7fc0ec5c526f706107537a6e2e34ac4cdf88d232 | /src/group_theory/representation/maschke.lean | 3d59277422f1744f97e633e6837be59af42c6a6b | [
"Apache-2.0"
] | permissive | fpvandoorn/group-representations | 7440a81f2ac9e0d2defa44dc1643c3167f7a2d99 | bd9d72311749187d3bd4f542d5eab83e8341856c | refs/heads/master | 1,684,128,141,684 | 1,623,338,135,000 | 1,623,338,135,000 | 256,117,709 | 0 | 2 | null | null | null | null | UTF-8 | Lean | false | false | 6,657 | lean | /-
Copyright (c) 2020 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Scott Morrison
-/
import data.monoid_algebra
import ring_theory.algebra
import algebra.invertible
import algebra.char_p
import linear_algebra.basis
/-!
# Maschke's theorem
We prove Ma... |
8557f80de48cdc807b0e759ce0ae2264c3f5d06e | 432d948a4d3d242fdfb44b81c9e1b1baacd58617 | /src/group_theory/subgroup.lean | 17b5d5e6fbced557363ce404d458ef62729a4197 | [
"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 | 68,961 | lean | /-
Copyright (c) 2020 Kexing Ying. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kexing Ying
-/
import group_theory.submonoid
import algebra.group.conj
import algebra.pointwise
import order.atoms
/-!
# Subgroups
This file defines multiplicative and additive subgroup... |
f77ff0a79fc945a9949af8c54fbe70c52817b1ea | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/algebra/module/algebra.lean | b6659e7d6af38a3b12e2289980d50ac80744e657 | [
"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 | 1,012 | lean | /-
Copyright (c) 2022 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import algebra.module.basic
import algebra.algebra.basic
/-!
# Additional facts about modules over algebras.
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any change... |
4b411239d59d3ad51d31caa0e49cf2899bf5655f | a0e23cfdd129a671bf3154ee1a8a3a72bf4c7940 | /tests/lean/parserPrio.lean | 371e4a06d25e47cbee7524af454838a9fc7d67df | [
"Apache-2.0"
] | permissive | WojciechKarpiel/lean4 | 7f89706b8e3c1f942b83a2c91a3a00b05da0e65b | f6e1314fa08293dea66a329e05b6c196a0189163 | refs/heads/master | 1,686,633,402,214 | 1,625,821,189,000 | 1,625,821,258,000 | 384,640,886 | 0 | 0 | Apache-2.0 | 1,625,903,617,000 | 1,625,903,026,000 | null | UTF-8 | Lean | false | false | 923 | lean | --
-- New notation that overlaps with existing notation
syntax (name := myPair) (priority := high) "(" term "," term ")" : term
macro_rules (kind := myPair)
| `(($a, $b)) => `([$a, $b])
#eval (1, 2) -- not ambiguous since myPair parser has higher priority
theorem ex1 : (1, 2) = [1, 2] :=
rfl
-- Define macro for ex... |
eea715df1dfac871b7c69bf744c4649cad5dc480 | d436468d80b739ba7e06843c4d0d2070e43448e5 | /src/analysis/normed_space/operator_norm.lean | 018f6a830fcd85e4414a7e641c4dd5e755ffe262 | [
"Apache-2.0"
] | permissive | roro47/mathlib | 761fdc002aef92f77818f3fef06bf6ec6fc1a28e | 80aa7d52537571a2ca62a3fdf71c9533a09422cf | refs/heads/master | 1,599,656,410,625 | 1,573,649,488,000 | 1,573,649,488,000 | 221,452,951 | 0 | 0 | Apache-2.0 | 1,573,647,693,000 | 1,573,647,692,000 | null | UTF-8 | Lean | false | false | 17,703 | lean | /-
Copyright (c) 2019 Jan-David Salchow. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jan-David Salchow, Sébastien Gouëzel, Jean Lo
Operator norm on the space of continuous linear maps
Define the operator norm on the space of continuous linear maps between normed s... |
5cd8cd42f18a687b8ee242c96879f37d3443cbcf | 19e80d9dcdc050ba32a44257170460f6eb2f174b | /euler.lean | a605fc3d818161135f45c84f60565d085f84d4ca | [] | no_license | petersonbill64/lean | d36d7d93d0f1e4e5618f1426d41567e33a0da6fc | 07b7b69e15785c75ebba6629be4fad92799fd7de | refs/heads/master | 1,609,627,927,456 | 1,438,537,533,000 | 1,438,537,533,000 | 40,084,227 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,844 | lean | import data.nat.div data.nat.gcd data.nat.sub data.set tools.fake_simplifier logic theories.number_theory.primes
open nat set eq.ops well_founded decidable fake_simplifier prod bool
definition eulerPhi.F (n m : ℕ) : (Π m₁ : ℕ, m₁< m → ℕ) → ℕ :=
nat.cases_on m
(λ f, nat.zero)
(λ n₁(f : Π m₁, m₁ < succ n... |
681d492bd5e7a7e50f8a105f9269f2ad4f8bfe50 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/data/list/permutation.lean | 5df5a069ed19d0945d53e2b3c7cb373524b6f913 | [
"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 | 10,845 | lean | /-
Copyright (c) 2014 Parikshit Khanna. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Parikshit Khanna, Jeremy Avigad, Leonardo de Moura, Floris van Doorn, Mario Carneiro
-/
import data.list.join
/-!
# Permutations of a list
In this file we prove properties about `l... |
49767e8d23fc1ebd64d5c1e2b38a8d8c1825e220 | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/number_theory/sum_two_squares.lean | f7a7f209c299f200ae2b75d55dde89a5e0bf3eb0 | [
"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 | 784 | lean | /-
Copyright (c) 2019 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Chris Hughes
-/
import data.zsqrtd.gaussian_int
/-!
# Sums of two squares
Proof of Fermat's theorem on the sum of two squares. Every prime congruent to 1 mod 4 is the sum
of two squares
... |
e6a2a13be58719e67d4ef04f17bcac46cd09b431 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/topology/metric_space/isometry_auto.lean | 3b4c3aa8ba73282ceb453d16189ab2909e650c51 | [] | 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 | 21,477 | lean | /-
Copyright (c) 2018 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Isometries of emetric and metric spaces
Authors: Sébastien Gouëzel
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.topology.bounded_continuous_function
import M... |
ea58733c593288f3837eec02e4c2faa9b1d7ed72 | 7cef822f3b952965621309e88eadf618da0c8ae9 | /src/linear_algebra/matrix.lean | 75e1d5bb07f8ad59c984045284969f3ec04e8dca | [
"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 | 9,533 | lean | /-
Copyright (c) 2019 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Johannes Hölzl, Casper Putz
The equivalence between matrices and linear maps.
-/
import data.matrix.basic
import linear_algebra.dimension linear_algebra.tensor_product
/-!
# Linear ... |
3a806199d67a04cefb8442b87e58fe296f369caa | c777c32c8e484e195053731103c5e52af26a25d1 | /src/measure_theory/integral/average.lean | e11fa52b50090220073307cc6acbaa723daa03c0 | [
"Apache-2.0"
] | permissive | kbuzzard/mathlib | 2ff9e85dfe2a46f4b291927f983afec17e946eb8 | 58537299e922f9c77df76cb613910914a479c1f7 | refs/heads/master | 1,685,313,702,744 | 1,683,974,212,000 | 1,683,974,212,000 | 128,185,277 | 1 | 0 | null | 1,522,920,600,000 | 1,522,920,600,000 | null | UTF-8 | Lean | false | false | 8,924 | lean | /-
Copyright (c) 2022 Yury G. Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury G. Kudryashov
-/
import measure_theory.integral.set_integral
/-!
# Integral average of a function
In this file we define `measure_theory.average μ f` (notation: `⨍ x, f x ∂μ... |
dcd3193ee39455c98172eadd881eead74d5b39cd | d9d511f37a523cd7659d6f573f990e2a0af93c6f | /src/measure_theory/integral/set_integral.lean | 57b6119822506c7d1970f158eb15ee8f3ffcd1e3 | [
"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 | 43,709 | lean | /-
Copyright (c) 2020 Zhouhang Zhou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Zhouhang Zhou, Yury Kudryashov
-/
import measure_theory.integral.integrable_on
import measure_theory.integral.bochner
import order.filter.indicator_function
/-!
# Set integral
In this... |
d1911164f46266410b8751bd8ce640dcd5a6bde3 | 35677d2df3f081738fa6b08138e03ee36bc33cad | /src/group_theory/sylow.lean | 268541c524535aa787eff78ed764f6f5089aa31e | [
"Apache-2.0"
] | permissive | gebner/mathlib | eab0150cc4f79ec45d2016a8c21750244a2e7ff0 | cc6a6edc397c55118df62831e23bfbd6e6c6b4ab | refs/heads/master | 1,625,574,853,976 | 1,586,712,827,000 | 1,586,712,827,000 | 99,101,412 | 1 | 0 | Apache-2.0 | 1,586,716,389,000 | 1,501,667,958,000 | Lean | UTF-8 | Lean | false | false | 11,456 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes
-/
import group_theory.group_action group_theory.quotient_group
import group_theory.order_of_element data.zmod.basic
import data.fintype.card
import data.list.rotate
open e... |
efae268b7fa3b0649c8206c84d9ec6ca4ceff5c8 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/measure_theory/measurable_space_def.lean | a36f71f12a64f58652ffa2b23463dbef86c2bf32 | [
"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 | 19,885 | 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
-/
import data.set.countable
import logic.encodable.lattice
import order.disjointed
/-!
# Measurable spaces and measurable functions
This file defines ... |
32ce458b0f4cba4682196daac86324b0f83b3835 | a45212b1526d532e6e83c44ddca6a05795113ddc | /src/category_theory/groupoid.lean | 9ab9062e12595eb1e7e042b7b94c542df2c70f52 | [
"Apache-2.0"
] | permissive | fpvandoorn/mathlib | b21ab4068db079cbb8590b58fda9cc4bc1f35df4 | b3433a51ea8bc07c4159c1073838fc0ee9b8f227 | refs/heads/master | 1,624,791,089,608 | 1,556,715,231,000 | 1,556,715,231,000 | 165,722,980 | 5 | 0 | Apache-2.0 | 1,552,657,455,000 | 1,547,494,646,000 | Lean | UTF-8 | Lean | false | false | 1,034 | lean | /-
Copyright (c) 2018 Reid Barton All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Reid Barton
-/
import category_theory.category
import category_theory.isomorphism
namespace category_theory
universes v u -- declare the `v`'s first; see `category_theory.category` for ... |
a3f2e8727fef8c97d75b26379927941a99ede1b7 | 3c9dc4ea6cc92e02634ef557110bde9eae393338 | /tests/lean/run/infoTree.lean | 94eb8c2929f684e5b86f804f8ade96ec76b481f0 | [
"Apache-2.0"
] | permissive | shingtaklam1324/lean4 | 3d7efe0c8743a4e33d3c6f4adbe1300df2e71492 | 351285a2e8ad0cef37af05851cfabf31edfb5970 | refs/heads/master | 1,676,827,679,740 | 1,610,462,623,000 | 1,610,552,340,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 374 | lean | import Lean
open Lean.Elab
elab "enableInfo!" : command => enableInfoTree
elab "showInfoTrees!" : command => do
let trees ← getInfoTrees
trees.forM fun tree => do
IO.println f!"{← tree.format}"
enableInfo!
def f (x : Nat) : Nat × Nat :=
let y := ⟨x, x⟩
id y
def h : (x : Nat) → x + 0 = x :=
fun x =>... |
2ee61de57073e3b4bf263898eaa0f598b1de7a27 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/order/countable_dense_linear_order.lean | c10246e06fca2008eee57e963e3f463224b02563 | [
"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 | 9,620 | lean | /-
Copyright (c) 2020 David Wärn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: David Wärn
-/
import order.ideal
/-!
# The back and forth method and countable dense linear orders
## Results
Suppose `α β` are linear orders, with `α` countable and `β` dense, nonempty... |
446ef9a4dee69a181c88242f1faf0ad6a90e6eec | 1d335ec6ac4181a0a762b12797936770cc9fcef9 | /expressions/classical_geometry.lean | 859d77ea6c013b4242a49be281fab738456eaeec | [] | no_license | rohanrajnair/lang | dbadcc3997e44245ca84d48dc1733cf09a2605a6 | 3beb4e29d8faa692983a55fa18acb6eb947134e8 | refs/heads/master | 1,672,640,379,424 | 1,597,948,771,000 | 1,597,948,771,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 463 | lean | import ...phys.src.classical_geometry
namespace lang.classicalGeometry
structure var : Type :=
mk :: (num : ℕ)
def varEq : var → var → bool
| v1 v2 := v1.num = v2.num -- implicit coercion here
inductive expr
| lit (s : classicalGeometry) : expr
| var (v : var) : expr
--| GeometricProduct (e1 e2 : classicalGeometr... |
ea952ce661bd2f3e6c613d5d4d994309d5b7c6a7 | 05f637fa14ac28031cb1ea92086a0f4eb23ff2b1 | /tests/lean/interactive/config.lean | 9a35fa712aa1f2a779ad4022a2483c318d790e17 | [
"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 | 103 | lean | -- set_option default configuration for tests
set_option pp::colors false
set_option pp::unicode true
|
1ffd71d1896df84256d54e415a7ffe87a89aadc3 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/category_theory/sites/induced_topology.lean | 8c54a1624e1317105bbd714abe8df530d9d24d21 | [
"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 | 5,717 | lean | /-
Copyright (c) 2021 Andrew Yang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Andrew Yang
-/
import category_theory.sites.dense_subsite
/-!
# Induced Topology
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file require a corresponding PR to math... |
a38fb799be1930b0c377221f2ae79612cd2dd59b | 88fb7558b0636ec6b181f2a548ac11ad3919f8a5 | /library/init/data/nat/pow.lean | 0f4979879fc0fcf766f2cfb7d2329312c64de56f | [
"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 | 436 | lean | /-
Copyright (c) 2017 Galois Inc. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Simon Hudon
exponentiation on natural numbers
This is a work-in-progress
-/
prelude
import init.data.nat.basic init.meta
namespace nat
def pow (b : ℕ) : ℕ → ℕ
| 0 := 1
| (succ n... |
cb59b806c87170152048f5ea7d2bdef6168d1fa5 | 947b78d97130d56365ae2ec264df196ce769371a | /tests/lean/run/IO_test.lean | ba90095533f0a3e394b5263ca4d1ec71bbb136df | [
"Apache-2.0"
] | permissive | shyamalschandra/lean4 | 27044812be8698f0c79147615b1d5090b9f4b037 | 6e7a883b21eaf62831e8111b251dc9b18f40e604 | refs/heads/master | 1,671,417,126,371 | 1,601,859,995,000 | 1,601,860,020,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,961 | lean | prelude
import Init.System.IO
import Init.Data.List.Control
new_frontend
open IO.FS
instance : HasRepr UInt8 := ⟨ toString ⟩
def check_eq {α} [HasBeq α] [HasRepr α] (tag : String) (expected actual : α) : IO Unit :=
«unless» (expected == actual) $ throw $ IO.userError $
"assertion failure \"" ++ tag ++
"\":\n ... |
c2f8cd475622da094fca3fbf9e8cc2bb4a2b25a3 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/topology/metric_space/antilipschitz.lean | c1e657a6dd7c5d8ca632e8b20f91caff22d06b42 | [] | 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 | 5,293 | 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 Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.topology.metric_space.lipschitz
import Mathlib.PostPort
universes u_1 u_2 u_3
namespac... |
95551c5a7101720ea45781dbdd1ae44951929060 | 947b78d97130d56365ae2ec264df196ce769371a | /stage0/src/Lean/Util/Path.lean | 2c65b642d861d0a547cf718233756c43aef22b18 | [
"Apache-2.0"
] | permissive | shyamalschandra/lean4 | 27044812be8698f0c79147615b1d5090b9f4b037 | 6e7a883b21eaf62831e8111b251dc9b18f40e604 | refs/heads/master | 1,671,417,126,371 | 1,601,859,995,000 | 1,601,860,020,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,416 | 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, Sebastian Ullrich
Management of the Lean search path (`LEAN_PATH`), which is a list of
paths containing package roots: an import `A.B.C` resolves to
`path/A/... |
5ecab4e554daf7a98022a1dee6c3dcc40aa560cf | 55c7fc2bf55d496ace18cd6f3376e12bb14c8cc5 | /src/analysis/normed_space/units.lean | a74dd44616bfa2cafdfce4611d78ddaa16f0914f | [
"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 | 3,398 | lean | /-
Copyright (c) 2020 Heather Macbeth. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Heather Macbeth
-/
import analysis.specific_limits
/-!
# The group of units of a complete normed ring
This file contains the basic theory for the group of units (invertible elements... |
c252f47eb6c146aa16036782468a0b6bc5f6c023 | 4fa161becb8ce7378a709f5992a594764699e268 | /src/topology/instances/ennreal.lean | b8cd8429a00af08f1b88a128ece1b5a215e40663 | [
"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 | 38,823 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Johannes Hölzl
-/
import topology.instances.nnreal
/-!
# Extended non-negative reals
-/
noncomputable theory
open classical set filter metric
open_locale classical
open_locale topologi... |
54c0aee1160b0c3953a4ad1baa44caa34f618098 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/algebraic_geometry/locally_ringed_space.lean | 99cc0267c1c1e7415bc7eb4212731a819bfd7b9a | [
"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 | 5,635 | 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 algebraic_geometry.sheafed_space
import algebra.category.CommRing.limits
import algebra.category.CommRing.colimits
import algebraic_geometry.stalks
import rin... |
4a4e25cb3128dc85040c6593a001f61eb09b163c | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/437c.lean | e9dec6d67d1ac5bad02d717cb8c36aa90aaec2b3 | [
"Apache-2.0"
] | permissive | leanprover-community/lean | 12b87f69d92e614daea8bcc9d4de9a9ace089d0e | cce7990ea86a78bdb383e38ed7f9b5ba93c60ce0 | refs/heads/master | 1,687,508,156,644 | 1,684,951,104,000 | 1,684,951,104,000 | 169,960,991 | 457 | 107 | Apache-2.0 | 1,686,744,372,000 | 1,549,790,268,000 | C++ | UTF-8 | Lean | false | false | 116 | lean | example (a : ℕ) : true :=
begin
have : ∀ n, n ≥ 0 → a ≤ a,
{ exact λ _ _, le_refl a },
trivial
end
|
efc7789b91dfa26955a4181f1c65a69eed0e47d9 | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /library/init/logic.lean | 49746b59010f6b7d0bea0ab9f626c20562d46eae | [
"Apache-2.0"
] | permissive | soonhokong/lean-osx | 4a954262c780e404c1369d6c06516161d07fcb40 | 3670278342d2f4faa49d95b46d86642d7875b47c | refs/heads/master | 1,611,410,334,552 | 1,474,425,686,000 | 1,474,425,686,000 | 12,043,103 | 5 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 34,281 | 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, Jeremy Avigad, Floris van Doorn
-/
prelude
import init.datatypes
universe variables u v
attribute [reducible]
definition id {A : Type u} (a : A) : A :=
a
/... |
ad1fb850d634cc5cdced4e08d064952b72416d08 | 453dcd7c0d1ef170b0843a81d7d8caedc9741dce | /group_theory/coset.lean | 9f943c09fa41046228325f47ba151d100d2ae4fa | [
"Apache-2.0"
] | permissive | amswerdlow/mathlib | 9af77a1f08486d8fa059448ae2d97795bd12ec0c | 27f96e30b9c9bf518341705c99d641c38638dfd0 | refs/heads/master | 1,585,200,953,598 | 1,534,275,532,000 | 1,534,275,532,000 | 144,564,700 | 0 | 0 | null | 1,534,156,197,000 | 1,534,156,197,000 | null | UTF-8 | Lean | false | false | 8,184 | lean | /-
Copyright (c) 2018 Mitchell Rowett. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mitchell Rowett, Scott Morrison
-/
import group_theory.subgroup data.equiv.basic data.quot
open set function
variable {α : Type*}
def left_coset [has_mul α] (a : α) (s : set α) : se... |
d228a7c9cc72addc398e5a621781fe0182ac65e1 | 968e2f50b755d3048175f176376eff7139e9df70 | /examples/prop_logic_theory/unnamed_2674.lean | c92eaa6f43dbd33a599b70d98dfde37a7bf22255 | [] | no_license | gihanmarasingha/mth1001_sphinx | 190a003269ba5e54717b448302a27ca26e31d491 | 05126586cbf5786e521be1ea2ef5b4ba3c44e74a | refs/heads/master | 1,672,913,933,677 | 1,604,516,583,000 | 1,604,516,583,000 | 309,245,750 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 790 | lean | import logic.basic
variables {p q : Prop}
local attribute [instance] classical.prop_decidable
namespace hidden
-- BEGIN
theorem not_imp_not : (¬q → ¬p) ↔ (p → q) :=
begin
split, -- By iff intro., it suffices to prove 1. `¬q → ¬p → p → q` and 2. `p → q → ¬q → ¬p`.
{ intros h₁ h₂, -- Assume `h₁ : ¬q → ¬p`, `h₂ : p`. ... |
d8b6c06489db97f92bd589f327e938e2482b69f7 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/run/cody2.lean | 86cb26269a33838dcfaed242df136a03e7fe311e | [
"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 | 442 | lean | import logic
open eq
definition subsets (P : Type) := P → Prop.
section
hypothesis A : Type.
hypothesis r : A → subsets A.
hypothesis i : subsets A → A.
hypothesis retract {P : subsets A} {a : A} : r (i P) a = P a.
definition delta (a:A) : Prop := ¬ (r a a).
local notation `δ` := delta.
theorem delta_aux : ¬ (δ... |
7813879f8c79cffe6a773dd2cb193ce0424200ec | 7c2dd01406c42053207061adb11703dc7ce0b5e5 | /src/exercises/01_equality_rewriting.lean | c95d187003e38c3dd58904bb112c496d04fba96d | [
"Apache-2.0"
] | permissive | leanprover-community/tutorials | 50ec79564cbf2ad1afd1ac43d8ee3c592c2883a8 | 79a6872a755c4ae0c2aca57e1adfdac38b1d8bb1 | refs/heads/master | 1,687,466,144,386 | 1,672,061,276,000 | 1,672,061,276,000 | 189,169,918 | 186 | 81 | Apache-2.0 | 1,686,350,300,000 | 1,559,113,678,000 | Lean | UTF-8 | Lean | false | false | 4,947 | lean | import data.real.basic
/-
One of the earliest kind of proofs one encounters while learning mathematics is proving by
a calculation. It may not sound like a proof, but this is actually using lemmas expressing
properties of operations on numbers. It also uses the fundamental property of equality: if two
mathematical ob... |
f0d253480bd75b8a99ece7ec40ca866c6319e28b | 4bcaca5dc83d49803f72b7b5920b75b6e7d9de2d | /stage0/src/Init/Data/Nat/Basic.lean | dd9205c92aea0fae8d4388b3fbbcaaa0a6c69941 | [
"Apache-2.0"
] | permissive | subfish-zhou/leanprover-zh_CN.github.io | 30b9fba9bd790720bd95764e61ae796697d2f603 | 8b2985d4a3d458ceda9361ac454c28168d920d3f | refs/heads/master | 1,689,709,967,820 | 1,632,503,056,000 | 1,632,503,056,000 | 409,962,097 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 14,519 | lean | /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn, Leonardo de Moura
-/
prelude
import Init.SimpLemmas
universe u
namespace Nat
@[specialize] def foldAux {α : Type u} (f : Nat → α → α) (s : Nat) : Nat → α → α... |
649585276f4d2e156bbf1adbf56e3a6eac1c7501 | d1a52c3f208fa42c41df8278c3d280f075eb020c | /stage0/src/Lean/Server/Rpc/RequestHandling.lean | 61269d33d62a536e7ea9bf6b6db08978fc1e90aa | [
"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 | cipher1024/lean4 | 6e1f98bb58e7a92b28f5364eb38a14c8d0aae393 | 69114d3b50806264ef35b57394391c3e738a9822 | refs/heads/master | 1,642,227,983,603 | 1,642,011,696,000 | 1,642,011,696,000 | 228,607,691 | 0 | 0 | Apache-2.0 | 1,576,584,269,000 | 1,576,584,268,000 | null | UTF-8 | Lean | false | false | 2,789 | lean | /-
Copyright (c) 2021 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Wojciech Nawrocki
-/
import Lean.Data.Lsp.Extra
import Lean.Server.Requests
import Lean.Server.Rpc.Basic
namespace Lean.Server
private structure RpcProcedure where
wrapper... |
65169796e62c55feae46fa78d9c8c625ef8b4d3f | 3dc4623269159d02a444fe898d33e8c7e7e9461b | /.github/workflows/geo/src/cartesian_closed.lean | d420a96ed633d0a927d1786359294f3bf0b42a96 | [] | no_license | Or7ando/lean | cc003e6c41048eae7c34aa6bada51c9e9add9e66 | d41169cf4e416a0d42092fb6bdc14131cee9dd15 | refs/heads/master | 1,650,600,589,722 | 1,587,262,906,000 | 1,587,262,906,000 | 255,387,160 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 10,908 | lean | /-
Copyright (c) 2020 Bhavik Mehta, Edward Ayers. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Bhavik Mehta, Edward Ayers
-/
import category_theory.limits.shapes.binary_products
import category_theory.adjunction
import adjunction
import tactic
import to_mathlib
impo... |
cd45df8c5c3e6b04ecda6300558357f8647dacf2 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/number_theory/multiplicity.lean | 8231f6de58a9145842d891f3186df3266efc5c53 | [
"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 | 17,630 | lean | /-
Copyright (c) 2022 Tian Chen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Tian Chen, Mantas Bakšys
-/
import algebra.geom_sum
import data.int.parity
import data.zmod.basic
import number_theory.padics.padic_val
import ring_theory.ideal.quotient_operations
/-!
# M... |
4b082f057840286b42365bea4771652639d62cfc | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/run/nested_rec.lean | a248e4fb87ebc62c802759337aa7f440ee60daec | [
"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 | 1,263 | lean | open nat prod sigma
-- We will define the following example by well-foudned recursion
-- g 0 := 0
-- g (succ x) := g (g x)
definition g.F (x : nat) : (Π y, y < x → Σ r : nat, r ≤ y) → Σ r : nat, r ≤ x :=
nat.cases_on x
(λ f, ⟨zero, nat.le_refl zero⟩)
(λ x₁ (f : Π y, y < succ x₁ → Σ r : nat, r ≤ y),
... |
7f134532115dd327609ecb24970d511302de8cdb | 3f1a1d97c03bb24b55a1b9969bb4b3c619491d5a | /library/init/data/bool/lemmas.lean | 35facc3a6b380ccc51847bf604d68edde36bf9a9 | [
"Apache-2.0"
] | permissive | praveenmunagapati/lean | 00c3b4496cef8e758396005013b9776bb82c4f56 | fc760f57d20e0a486d14bc8a08d89147b60f530c | refs/heads/master | 1,630,692,342,183 | 1,515,626,222,000 | 1,515,626,222,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,662 | lean | /-
Copyright (c) 2017 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.bool.basic init.meta
attribute [simp] cond bor band bnot bxor
@[simp] lemma {u} cond_a_a {α : Type u} (b : bool) (a : α) : cond b... |
54acd03a848d2b5f6620ff632b3cfa5e6fca394d | 07c76fbd96ea1786cc6392fa834be62643cea420 | /library/init/reserved_notation.lean | 9b8bf634cbcd2a3296ca095cfd39ab0b05d8d2c9 | [
"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 | 7,794 | 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, Jeremy Avigad, Floris van Doorn
-/
prelude
import init.datatypes
notation `assume` binders `,` r:(scoped f, f) := r
notation `take` binders `,` r:(scoped f... |
13c0d7e130b50bf3636d65445dd9fb1cdf11bea2 | 2eab05920d6eeb06665e1a6df77b3157354316ad | /src/data/fintype/basic.lean | 09b5de12f8510fe2e237548ac7663221a7b23969 | [
"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 | 81,497 | 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.array.lemmas
import data.finset.pi
import data.finset.powerset
import data.finset.option
import data.sym.basic
import data.ulift
import group_theory.perm.... |
33d091e318682aced46e3329baf296d45da49e19 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/category_theory/structured_arrow.lean | c709409c8d453d83e5b78149dbb4fc3fbb1c9fe5 | [
"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 | 7,395 | lean | /-
Copyright (c) 2021 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Adam Topaz, Scott Morrison
-/
import category_theory.comma
import category_theory.punit
import category_theory.limits.shapes.terminal
/-!
# The category of "structured arrows"
For `T... |
305288e3d05616be3bed5cbdc4293b0a5b48c9ee | 82e44445c70db0f03e30d7be725775f122d72f3e | /src/data/mv_polynomial/variables.lean | aa635e86fa2c312d822f311c80111a0895d81231 | [
"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 | 23,126 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Johan Commelin, Mario Carneiro
-/
import algebra.big_operators.order
import data.mv_polynomial.monad
import data.set.pairwise
/-!
# Degrees and variables of polynomial... |
c0fda59803e845946aa44d580492a8a24279a018 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/category_theory/adjunction/limits.lean | 3e6e4438e2693fb0473ffdccec7371964afd0eaa | [
"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 | 13,154 | lean | /-
Copyright (c) 2019 Reid Barton. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Reid Barton, Johan Commelin
-/
import category_theory.adjunction.basic
import category_theory.limits.creates
/-!
# Adjunctions and limits
A left adjoint preserves colimits (`category_th... |
ad947357ce2bfcc2798cebbecc39c9660a6a2c47 | 624f6f2ae8b3b1adc5f8f67a365c51d5126be45a | /tests/lean/run/121.lean | c85508e08b7dae394364896e2dbfbd56cafb509a | [
"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 | 227 | lean | abbrev DelabM := Id
abbrev Delab := DelabM Nat
example : DelabM Nat := pure 1 -- works
example : Delab := pure 1 -- works
new_frontend
example : DelabM Nat := pure 1 -- works
example : Delab := pure 1 -- works
|
899945c7f1b1ec06111c85814d983d85e87079e1 | f3849be5d845a1cb97680f0bbbe03b85518312f0 | /library/init/wf.lean | 0e288cab6183c74735ed09ba6ab6be0ef1dd9af6 | [
"Apache-2.0"
] | permissive | bjoeris/lean | 0ed95125d762b17bfcb54dad1f9721f953f92eeb | 4e496b78d5e73545fa4f9a807155113d8e6b0561 | refs/heads/master | 1,611,251,218,281 | 1,495,337,658,000 | 1,495,337,658,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 7,086 | lean | /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura
-/
prelude
import init.data.nat.basic init.data.prod
universes u v
inductive acc {α : Type u} (r : α → α → Prop) : α → Prop
| intro : ∀ x, (∀ y, r y x → acc y... |
ba222b91036565818c35386b77f790c23d1465e9 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/nestedInductiveRecType.lean | af5ff378fe1a73e97b39c41ee51631f19d5e2f22 | [
"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 | 1,990 | lean | namespace Ex1
inductive T :=
| int : Int -> T
| tuple : List T -> T
@[reducible] def T.eval (t : T) : Type :=
@T.rec
(motive_1 := fun _ => Type)
(motive_2 := fun _ => Type)
(fun _ => Int)
(fun _ ih => ih)
Unit
(fun _ _ ih₁ ih₂ => ih₁ × ih₂)
t
@[reducible] def T.evalList (t : List T)... |
1dab7068fd0a01ff7b7ae6e68a9e43ce7369222a | ff5230333a701471f46c57e8c115a073ebaaa448 | /tests/lean/run/aexp.lean | ffd23647a5644c1ae37df7f321f997be77d6575f | [
"Apache-2.0"
] | permissive | stanford-cs242/lean | f81721d2b5d00bc175f2e58c57b710d465e6c858 | 7bd861261f4a37326dcf8d7a17f1f1f330e4548c | refs/heads/master | 1,600,957,431,849 | 1,576,465,093,000 | 1,576,465,093,000 | 225,779,423 | 0 | 3 | Apache-2.0 | 1,575,433,936,000 | 1,575,433,935,000 | null | UTF-8 | Lean | false | false | 1,716 | lean | namespace imp
open tactic
@[reducible]
def uname := string
inductive aexp
| val : nat → aexp
| var : uname → aexp
| plus : aexp → aexp → aexp
| times : aexp → aexp → aexp
instance : decidable_eq aexp :=
by mk_dec_eq_instance
@[reducible]
def value := nat
def state := uname → value
open aexp
def aval : aexp ... |
aa129cc1b7c372306012eb3697f1ead8272269be | 1446f520c1db37e157b631385707cc28a17a595e | /stage0/src/Init/Core.lean | 4f15da8ad700007fd9e024dd218e4d34bcc1ad35 | [
"Apache-2.0"
] | permissive | bdbabiak/lean4 | cab06b8a2606d99a168dd279efdd404edb4e825a | 3f4d0d78b2ce3ef541cb643bbe21496bd6b057ac | refs/heads/master | 1,615,045,275,530 | 1,583,793,696,000 | 1,583,793,696,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 61,832 | 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
notation `Prop` := Sort 0
notation f ` $ `:1 a:0 := f a
/- Logical operations and relations -/
reserv... |
f451a71ab3a2f630e63c743cb27016cfaf44c822 | 00f20606b80ff481edcb3343798a879c6c568f6c | /M3P14/sheet1.lean | 74d56494254ec3a093a993ce7d83cbc8abd1a201 | [
"Apache-2.0"
] | permissive | SG4316/xena-UROP-2018 | 53c21afcc6909bde186e3d9b8e8bf4c888a5f32e | d20b155d317e210917e9ce88d91457a7c0f2efac | refs/heads/master | 1,584,877,373,507 | 1,530,817,535,000 | 1,530,817,535,000 | 139,990,847 | 0 | 0 | null | 1,530,884,893,000 | 1,530,884,893,000 | null | UTF-8 | Lean | false | false | 4,013 | lean | import data.nat.gcd
import data.nat.modeq
import data.nat.prime
import tactic.norm_num
--import algebra.euclidean_domain
namespace nat
-- TODO: import mathlib
-- TODO: change some theorem signatures from ℕ to ℤ (need to extend the definition of some gcd lemmas)
-- Show that for a, b, d integers, we have (da, db) = d... |
e1c1092fe9201e7c9674328b938cb420101f19e0 | 74caf7451c921a8d5ab9c6e2b828c9d0a35aae95 | /tests/lean/run/xrewrite1.lean | 4d176f231bda2944882d1c26cac4ba978e14bcf5 | [
"Apache-2.0"
] | permissive | sakas--/lean | f37b6fad4fd4206f2891b89f0f8135f57921fc3f | 570d9052820be1d6442a5cc58ece37397f8a9e4c | refs/heads/master | 1,586,127,145,194 | 1,480,960,018,000 | 1,480,960,635,000 | 40,137,176 | 0 | 0 | null | 1,438,621,351,000 | 1,438,621,351,000 | null | UTF-8 | Lean | false | false | 303 | lean | open nat tactic
constant zeroadd (a : nat) : 0 + a = a
meta definition xrewrite (th_name : name) : tactic unit :=
do th ← mk_const th_name,
rewrite_core semireducible tt occurrences.all ff th,
try reflexivity
example (a : nat) : (0 + a) + (0 + a) + (0 + a) = a + a + a :=
by xrewrite `zeroadd
|
ecae4d650f0055a562c600b60eb8b72803c45b5b | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/linear_algebra/ray.lean | 503db73e8a277ac75e03e392c3e5d2626f042a5f | [
"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 | 26,543 | lean | /-
Copyright (c) 2021 Joseph Myers. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Myers
-/
import group_theory.subgroup.actions
import linear_algebra.linear_independent
/-!
# Rays in modules
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this fil... |
ef79e854f46256793dbd0d08bf00edb11596926a | 6b45072eb2b3db3ecaace2a7a0241ce81f815787 | /algebra/lattice/fixed_points.lean | 538e4a77faf9ad353b48c6b626f57a87873dc429 | [] | no_license | avigad/library_dev | 27b47257382667b5eb7e6476c4f5b0d685dd3ddc | 9d8ac7c7798ca550874e90fed585caad030bbfac | refs/heads/master | 1,610,452,468,791 | 1,500,712,839,000 | 1,500,713,478,000 | 69,311,142 | 1 | 0 | null | 1,474,942,903,000 | 1,474,942,902,000 | null | UTF-8 | Lean | false | false | 4,457 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
Fixed point construction on complete lattices.
-/
import .complete_lattice
universes u v w
variables {α : Type u} {β : Type v} {γ : Type w}
lemma ge_of_eq [weak_orde... |
45a86a29083f753cad1c7b73c3a7442e91e23c8a | a1179fa077c09acc49e4fbc8d67084ba89ac4f4c | /tutorials/src/solutions/00_first_proofs.lean | 1fb0fb3bf2e4609d079480a0b5e8cf9d0e388f85 | [] | no_license | Seeram/Lean-proof-assistant | 11ca0ca0e0446bacdd1773c4c481a3653b2f1074 | e672d46e0e5f39d8de2933ad4f4cac095ca6094f | refs/heads/master | 1,682,754,224,366 | 1,620,959,431,000 | 1,620,959,431,000 | 299,000,950 | 0 | 1 | null | 1,620,680,462,000 | 1,601,200,258,000 | Lean | UTF-8 | Lean | false | false | 18,055 | lean | /-
This file is intended for Lean beginners. The goal is to demonstrate what it feels like to prove
things using Lean and mathlib. Complicated definitions and theory building are not covered.
Everything is covered again more slowly and with exercises in the next files.
-/
-- We want real numbers and their basic proper... |
83bf880cefb09d4239f669595dcdc2e2dccf0fb8 | aa101d73b1a3173c7ec56de02b96baa8ca64c42e | /src/exercises/05_sequence_limits.lean | 116556e58610455ec445fcbcc2984a6e61566bc1 | [
"Apache-2.0"
] | permissive | gihanmarasingha/tutorials | b554d4d53866c493c4341dc13e914b01444e95a6 | 56617114ef0f9f7b808476faffd11e22e4380918 | refs/heads/master | 1,671,141,758,153 | 1,599,173,318,000 | 1,599,173,318,000 | 282,405,870 | 0 | 0 | Apache-2.0 | 1,595,666,751,000 | 1,595,666,750,000 | null | UTF-8 | Lean | false | false | 5,893 | lean | import data.real.basic
import algebra.pi_instances
import tuto_lib
notation `|`x`|` := abs x
/-
In this file we manipulate the elementary definition of limits of
sequences of real numbers.
mathlib has a much more general definition of limits, but here
we want to practice using the logical operators and relations
cov... |
62b916151f8d528af82e235b9b30d788af446544 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /test/elementwise.lean | ec94c57f84ca0a76ff54168969d64d265495f786 | [
"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 | 1,821 | lean | import algebra.category.Mon.basic
import tactic.elementwise
open category_theory
universes w v u
@[elementwise]
lemma foo {C : Type u} [category.{v} C]
{M N K : C} {f : M ⟶ N} {g : N ⟶ K} {h : M ⟶ K} (w : f ≫ g = h) : f ≫ 𝟙 N ≫ g = h :=
by simp [w]
@[elementwise]
lemma foo' {C : Type*} [category C]
{M N K : C}... |
a8bc9eb35e1727e85cc508f6f8c600c127952e0b | 82e44445c70db0f03e30d7be725775f122d72f3e | /src/category_theory/subobject/factor_thru.lean | 75d5ca9334817705cdcf93aa00b3093a5db532d3 | [
"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 | 6,903 | lean | /-
Copyright (c) 2020 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Bhavik Mehta, Scott Morrison
-/
import category_theory.subobject.basic
/-!
# Factoring through subobjects
The predicate `h : P.factors f`, for `P : subobject Y` and `f : X ⟶ Y`
asser... |
ddd8960a2eadf9c1729563eb62a40f642024a0c9 | 80746c6dba6a866de5431094bf9f8f841b043d77 | /src/topology/sequences.lean | 8cda46c05ad1c5436224990f4f79cb1cc8418ce8 | [
"Apache-2.0"
] | permissive | leanprover-fork/mathlib-backup | 8b5c95c535b148fca858f7e8db75a76252e32987 | 0eb9db6a1a8a605f0cf9e33873d0450f9f0ae9b0 | refs/heads/master | 1,585,156,056,139 | 1,548,864,430,000 | 1,548,864,438,000 | 143,964,213 | 0 | 0 | Apache-2.0 | 1,550,795,966,000 | 1,533,705,322,000 | Lean | UTF-8 | Lean | false | false | 10,549 | lean | /-
Copyright (c) 2018 Jan-David Salchow. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jan-David Salchow
Sequences in topological spaces.
In this file we define sequences in topological spaces and show how they are related to
filters and the topology. In particular,... |
0aa378f82fa318a2bf1c32ec59c54adfa2eccb17 | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /tests/lean/run/tc_loop.lean | 95b9df429915e70419123c7bce1e7f1070baa5bc | [
"Apache-2.0"
] | permissive | soonhokong/lean-osx | 4a954262c780e404c1369d6c06516161d07fcb40 | 3670278342d2f4faa49d95b46d86642d7875b47c | refs/heads/master | 1,611,410,334,552 | 1,474,425,686,000 | 1,474,425,686,000 | 12,043,103 | 5 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 304 | lean | open tactic
check (do { trace "foo", trace_state } : tactic unit)
axiom Sorry {A : Type*} : A
check
λ (A : Type*) (a b c d : A) (H₁ : a = b) (H₂ : c = b) (H₃ : d = c),
have a = c, by do { trace "have-expr...", trace_state, transitivity, assumption, symmetry, assumption },
show a = d, from Sorry
|
3a4886bc3168821e1282afb026e4d27b1ada6918 | bb31430994044506fa42fd667e2d556327e18dfe | /src/algebra/module/equiv.lean | a9fc1ee36fbae97ba20b1fd8f40ebb1aad7f2350 | [
"Apache-2.0"
] | permissive | sgouezel/mathlib | 0cb4e5335a2ba189fa7af96d83a377f83270e503 | 00638177efd1b2534fc5269363ebf42a7871df9a | refs/heads/master | 1,674,527,483,042 | 1,673,665,568,000 | 1,673,665,568,000 | 119,598,202 | 0 | 0 | null | 1,517,348,647,000 | 1,517,348,646,000 | null | UTF-8 | Lean | false | false | 25,229 | lean | /-
Copyright (c) 2020 Anne Baanen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Nathaniel Thomas, Jeremy Avigad, Johannes Hölzl, Mario Carneiro, Anne Baanen,
Frédéric Dupuis, Heather Macbeth
-/
import algebra.module.linear_map
/-!
# (Semi)linear equivalences
In t... |
fe40ec019f4ee477c5382dd0481739ecc5f80582 | a726f88081e44db9edfd14d32cfe9c4393ee56a4 | /src/game/world8/level7.lean | 6b5152253e9caa589b036774915fcea35c6c2673 | [] | no_license | b-mehta/natural_number_game | 80451bf10277adc89a55dbe8581692c36d822462 | 9faf799d0ab48ecbc89b3d70babb65ba64beee3b | refs/heads/master | 1,598,525,389,186 | 1,573,516,674,000 | 1,573,516,674,000 | 217,339,684 | 0 | 0 | null | 1,571,933,100,000 | 1,571,933,099,000 | null | UTF-8 | Lean | false | false | 641 | lean | import game.world8.level6 -- hide
namespace mynat -- hide
/-
# Advanced Addition World
## Level 7: `add_right_cancel_iff`
It's sometimes convenient to have the "if and only if" version
of theorems like `add_right_cancel`. Remember that you can use `split`
to split an `↔` goal into the `→` goal and the `←` goal.
-/
... |
b27411139f894b2a15b31b956eb74bcc1e1de278 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/data/pfunctor/multivariate/W.lean | 0db36a3207b4cc86cfbece9bf43a336b66bd1268 | [] | 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 | 11,903 | lean | /-
Copyright (c) 2018 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Jeremy Avigad, Simon Hudon
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.data.pfunctor.multivariate.basic
import Mathlib.PostPort
universes u l u_1 u_2
... |
312c76b426702f700037a1ff268147e2313f443c | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/measure_theory/category/Meas.lean | 328dfac331bb7754dd1b30d978524d085eec5d90 | [
"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 | 4,264 | lean | /-
Copyright (c) 2018 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
-/
import topology.category.Top.basic
import measure_theory.giry_monad
import category_theory.monad.algebra
/-
* Meas, the category of measurable spaces
Measurable spa... |
69ef8d7beb38644fb4a267f86c4f99d01c9a9177 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/tactic/monotonicity/basic.lean | c613c21aae897b1ed0fb934ca19beda019f21c88 | [
"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 | 5,531 | lean | /-
Copyright (c) 2019 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon
-/
import order.bounded_lattice
namespace tactic.interactive
open tactic list
open lean lean.parser interactive
open interactive.types
@[derive inhabited]
structure mono_cfg... |
8a84cafd58fbdb991b41ffd2c2da12ba38f71eda | 367134ba5a65885e863bdc4507601606690974c1 | /src/group_theory/perm/sign.lean | 4384b04c363de678cfeac22cb091b7e5b4a94a6f | [
"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 | 33,769 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes
-/
import data.fintype.basic
import data.finset.sort
import group_theory.perm.basic
import group_theory.order_of_element
import tactic.norm_swap
/-!
# Sign of a permutation... |
2bc9d41efdde35db96186f122dd5ceed8b2d673b | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/ring_theory/nullstellensatz.lean | b0dfe0bff6d209d545c07877fd56fd3edb6078dc | [] | 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 | 6,646 | lean | /-
Copyright (c) 2021 Devon Tuma. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Devon Tuma
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.ring_theory.jacobson
import Mathlib.field_theory.algebraic_closure
import Mathlib.field_theory.mv_p... |
2016ce6cf73ca368b52694b3ee6c6df643353a07 | c777c32c8e484e195053731103c5e52af26a25d1 | /src/combinatorics/set_family/compression/uv.lean | cec8c3800f4bb337bb3e58d6971be2bb339b58e6 | [
"Apache-2.0"
] | permissive | kbuzzard/mathlib | 2ff9e85dfe2a46f4b291927f983afec17e946eb8 | 58537299e922f9c77df76cb613910914a479c1f7 | refs/heads/master | 1,685,313,702,744 | 1,683,974,212,000 | 1,683,974,212,000 | 128,185,277 | 1 | 0 | null | 1,522,920,600,000 | 1,522,920,600,000 | null | UTF-8 | Lean | false | false | 9,011 | lean | /-
Copyright (c) 2021 Bhavik Mehta. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yaël Dillies, Bhavik Mehta
-/
import data.finset.card
/-!
# UV-compressions
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file require a corresponding PR to mathlib4... |
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