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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
de527d8cc3bd1a47e1166abbca0e7e418f660629 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/1334b.lean | fcb4e9d069a3d7e9198df3ce17b3123ecd7a565a | [
"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 | 623 | lean | inductive term : Type
| var : nat → term
| app : list term → term
| cnst : string → term
def var_of : term → option nat
| (term.var n) := some n
| _ := none
#check var_of.equations._eqn_1
#check var_of.equations._eqn_2
#check var_of.equations._eqn_3
def list_of : term → list term
| (term.app ts) := ts
|... |
702bd6b364e007606dd0e3f6a2c44f014d3ff8fd | e30ff3aabdac29f8ea40ad76887544d0f9be9018 | /ircbot/support.lean | df277622fa8a3289b154ecc2f0580b3b1e2e35c9 | [] | no_license | forked-from-1kasper/leanbot | bdef0efa3e4d0eb75b06c1707fb4e35086bb57fa | c61c8c7fdad7b05877e0d232719ce23d2999557f | refs/heads/master | 1,651,846,081,986 | 1,646,404,009,000 | 1,646,404,009,000 | 127,132,795 | 12 | 1 | null | 1,605,183,650,000 | 1,522,237,998,000 | Lean | UTF-8 | Lean | false | false | 1,715 | lean | import ircbot.types
def list.get {α : Type} [inhabited α] (l : list α) (n : ℕ) : α :=
list.head (list.drop n l)
def list.singleton {α : Type} (x : α) : list α := [ x ]
namespace string
def take_right_while {α : Type} (f : α → Prop) [decidable_pred f] : list α → list α
| (hd :: tl) := if f hd then take_right_whil... |
056a4d54dd6ecf67278a36f0f3a534146ed4a85a | d5ecf6c46a2f605470a4a7724909dc4b9e7350e0 | /analysis/measure_theory/measure_space.lean | cce84d7d280cd8bfb71edd8560da115cf30daf1f | [
"Apache-2.0"
] | permissive | MonoidMusician/mathlib | 41f79df478987a636b735c338396813d2e8e44c4 | 72234ef1a050eea3a2197c23aeb345fc13c08ff3 | refs/heads/master | 1,583,672,205,771 | 1,522,892,143,000 | 1,522,892,143,000 | 128,144,032 | 0 | 0 | Apache-2.0 | 1,522,892,144,000 | 1,522,890,892,000 | Lean | UTF-8 | Lean | false | false | 21,718 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
Measure spaces -- measures
Measures are restricted to a measurable space (associated by the type class `measurable_space`).
This allows us to prove equalities between ... |
2f732b37c5ab7328e04223484347be92d8da85e1 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/tactic/dependencies_auto.lean | 3515dcfa4ea33cc18a59a11bdfdf60a3e54d06ab | [] | 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 | 2,502 | lean | /-
Copyright (c) 2020 Jannis Limperg. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jannis Limperg
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.tactic.core
import Mathlib.PostPort
namespace Mathlib
/-!
# Tactics About Dependencies
T... |
5a37bae5c086668d7f37ad9c73a7caa994484523 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/streamEqIssue.lean | 6401c0016ebe701f7aa04aa57bdba8639585f081 | [
"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 | 289 | lean | @[simp] def Stream.hasLength [Stream stream value] (n : Nat) (s : stream) : Bool :=
match n, Stream.next? s with
| 0, none => true
| n + 1, some (_, s') => hasLength n s'
| _, _ => false
#check @Stream.hasLength._eq_1
#check @Stream.hasLength._eq_2
#check @Stream.hasLength._eq_3
|
99851cbfe39e0b732da401259cdcf40051bed9ac | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/category_theory/punit.lean | 1a4d9c51007cee5bf6fc47ddcb61dc0ea1663d10 | [] | 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 | 1,596 | lean | /-
Copyright (c) 2018 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison, Bhavik Mehta
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.category_theory.const
import Mathlib.category_theory.discrete_category
import... |
24ac0d050f1156ebc79ae9b725eb3cf09e58eca4 | ae1e94c332e17c7dc7051ce976d5a9eebe7ab8a5 | /src/Lean/Elab/PreDefinition/Structural.lean | 6dbb97d403cbbbe103c270491f691752dfbea381 | [
"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 | 22,337 | 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.Util.ForEachExpr
import Lean.Meta.ForEachExpr
import Lean.Meta.RecursorInfo
import Lean.Meta.Match.Match
import Lean.Elab.PreDefinition.Basic
na... |
da873db755320ee8791ea3d2ccfb28e16175e0e0 | bb31430994044506fa42fd667e2d556327e18dfe | /src/ring_theory/ideal/operations.lean | 21e13f9e695937f4348c47b25ab4df31575da7de | [
"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 | 99,484 | lean | /-
Copyright (c) 2018 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau
-/
import algebra.algebra.operations
import algebra.ring.equiv
import data.nat.choose.sum
import ring_theory.coprime.lemmas
import ring_theory.ideal.quotient
import ring_theory.no... |
bd532c4832957158efd0fa65b8bf204b5d6ee163 | 01ae0d022f2e2fefdaaa898938c1ac1fbce3b3ab | /categories/universal/complete/constructions.lean | e63d24d1e11f6e125a1a4a6ed4d5235519d58cc6 | [] | 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 | 5,971 | 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 ..complete
import ...walking
open categories
open categories.functor
open categories.natural_transformation
open categories.isomorphism
open categories.in... |
946ba128682446023c987da6fb2d2424ff88ebde | 4e0d7c3132ce31edc5829849735dd25db406b144 | /lean/love06_monads_exercise_sheet.lean | a76239fcaf4c1be1524051eb93ed7258ddddf50f | [] | no_license | gonzalgu/logical_verification_2020 | a0013a6c22ea254e9f4d245f2948f0f4d44df4bb | 724d0457dff2c3ff10f9ab2170388f4c5e958b75 | refs/heads/master | 1,660,886,374,533 | 1,589,859,641,000 | 1,589,859,641,000 | 256,069,971 | 0 | 0 | null | 1,586,997,430,000 | 1,586,997,429,000 | null | UTF-8 | Lean | false | false | 7,253 | lean | import .love06_monads_demo
/-! # LoVe Exercise 6: Monads -/
set_option pp.beta true
namespace LoVe
/-! ## Question 1: A State Monad with Failure
We introduce a richer notion of lawful monad that provides an `orelse`
operator `<|>` satisfying some laws, given below. `emp` denotes failure.
`x <|> y` tries `x` fir... |
35bba5c85c9d07680907170d02034d2fb7c6195d | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/order/well_founded.lean | c20e8c8426abbca786dfdfd1ae91c014ee697ccd | [
"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 | 6,419 | lean | /-
Copyright (c) 2020 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Mario Carneiro
-/
import tactic.by_contra
import data.set.basic
/-!
# Well-founded relations
A relation is well-founded if it can be used for induction: for each `x`, `... |
cd188cfa274798d94d159d255d86bd536756290f | 11e28114d9553ecd984ac4819661ffce3068bafe | /src/data.lean | 5998039eec8c1e939170bb66d2beba849c26268d | [
"MIT"
] | permissive | EdAyers/lean-subtask | 9a26eb81f0c8576effed4ca94342ae1281445c59 | 04ac5a6c3bc3bfd190af4d6dcce444ddc8914e4b | refs/heads/master | 1,586,516,665,621 | 1,558,701,948,000 | 1,558,701,948,000 | 160,983,035 | 4 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 6,080 | lean | /- Author: E.W.Ayers © 2019 -/
import .table .rule .rule_table .tree
namespace robot
@[derive decidable_eq]
meta inductive task : Type
|CreateAll : expr → task
|Create : ℕ → expr → task
/- Use a term annihilation move. For example `X * X⁻¹ = e` annihilates anything in X. -/
|Annihilate : expr → task
/- passes when we... |
62aa91ba6d9b5433f426a430ef5ca63294591419 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/algebra/order/nonneg/field.lean | 4d58ba9ed7e50d84d7f99d690930daa62f6ac0be | [
"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 | 2,784 | lean | /-
Copyright (c) 2021 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn
-/
import algebra.order.field.basic
import algebra.order.field.canonical.defs
import algebra.order.field.inj_surj
import algebra.order.nonneg.ring
/-!
# Semifield s... |
85d0087b29b4a98cde42ccccbf294fd41e9cdb1c | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/2282.lean | 24d4e4ab276ffb97940bb2f21c652f0fdf6b4b21 | [
"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 | 340 | lean | class Zero'.{u} (α : Type u) where
zero : α
instance Zero'.toOfNat0 {α} [Zero' α] : OfNat α (nat_lit 0) where
ofNat := ‹Zero' α›.1
instance Nat.zero' : Zero' Nat where
zero := 0
example :
0 = if (b : Bool) then
(@OfNat.ofNat.{0} Nat 0 (@Zero'.toOfNat0.{0} Nat (Nat.zero')))
else
Nat.zero := ... |
b997135d12664d887fcf3c11c4dd2421938e959c | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/order/modular_lattice.lean | 45da1555fd71ba7912fdd185467554b68f01ce9b | [
"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 | 9,621 | 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 order.rel_iso
import order.lattice_intervals
import order.galois_connection
/-!
# Modular Lattices
This file defines Modular Lattices, a kind of lattice usefu... |
5c55b0f9296376cf6cb48ead4c25c0135c0caa60 | 55c7fc2bf55d496ace18cd6f3376e12bb14c8cc5 | /src/data/complex/exponential.lean | 4930d5adfe13ab7fda2f7c7539d4549fb3b2fb6f | [
"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 | 49,893 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Abhimanyu Pallavi Sudhir
-/
import algebra.geom_sum
import data.nat.choose
import data.complex.basic
/-!
# Exponential, trigonometric and hyperbolic trigonometric functions... |
1974bcb71bbc261cc3b42162dc8cbdc188f7cdb6 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/computability/encoding_auto.lean | 099e622618deb0a996fdc8cf61960969c55fe04b | [] | 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 | 5,514 | lean | /-
Copyright (c) 2020 Pim Spelier, Daan van Gent. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Pim Spelier, Daan van Gent.
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.data.fintype.basic
import Mathlib.data.num.lemmas
import Mathlib.t... |
02c4e4449b78c233a32a49f121311b7e693ed608 | d1a52c3f208fa42c41df8278c3d280f075eb020c | /stage0/src/Lean/Data/Parsec.lean | 8a05482f97a4e1e81631c3b10f2f7e698b7981dc | [
"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 | 4,244 | lean | /-
Copyright (c) 2021 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Dany Fabian
-/
namespace Lean
namespace Parsec
inductive ParseResult (α : Type) where
| success (pos : String.Iterator) (res : α)
| error (pos : String.Iterator) (err : Str... |
d5b8919266808203d5a03cd2767dc845942b97e9 | c6da0300d417abe3464e750ab51a63502b93acfa | /src/struct_tact/simp_option.lean | 16f03a588253dd5383c0a1c6370d597c8433c933 | [
"Apache-2.0"
] | permissive | uwplse/struct_tact | 55bc1d260fac498cff83a4d71461041f8ed74bd6 | 22188ea2e97705d1185f75dde24e6bab88054ab0 | refs/heads/master | 1,630,670,592,496 | 1,515,453,299,000 | 1,515,453,299,000 | 104,603,771 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,435 | lean | open lean
open tactic
open interactive
@[intro] lemma option_bind_some_back {α β : Type} :
forall (o1 : option α) (o2 : α → option β) v v',
o1 = some v →
o2 v = some v' →
o1 >>= o2 = some v' :=
begin
intros,
rw a,
simp [bind, has_bind.bind, option.bind],
rw a_1,
end
lemma option_bind_some {α β :... |
7fd805a93437403518f3824a4788f86ab07f3958 | f2fbd9ce3f46053c664b74a5294d7d2f584e72d3 | /src/for_mathlib/uniform_space.lean | 42357c5f25af2250315c1227317232bc9688cbba | [
"Apache-2.0"
] | permissive | jcommelin/lean-perfectoid-spaces | c656ae26a2338ee7a0072dab63baf577f079ca12 | d5ed816bcc116fd4cde5ce9aaf03905d00ee391c | refs/heads/master | 1,584,610,432,107 | 1,538,491,594,000 | 1,538,491,594,000 | 136,299,168 | 0 | 0 | null | 1,528,274,452,000 | 1,528,274,452,000 | null | UTF-8 | Lean | false | false | 1,961 | lean | import analysis.topology.uniform_space
namespace uniform_space
open uniform_space
variables {α : Type*} [uniform_space α] {β : Type*} [uniform_space β] {γ : Type*} [uniform_space γ]
open Cauchy set
lemma prod_cauchy {f : filter α} {g : filter β} : cauchy f → cauchy g → cauchy (filter.prod f g)
| ⟨f_proper, hf⟩ ⟨g_pro... |
8b16ecc7244cfdcbf982ccf45aea6aa23c7fb19f | 302c785c90d40ad3d6be43d33bc6a558354cc2cf | /src/data/qpf/multivariate/basic.lean | 5ebe689354748da2c0059e64ba7ce857720f1776 | [
"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 | 8,754 | lean | /-
Copyright (c) 2018 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Simon Hudon
-/
import data.pfunctor.multivariate.basic
universe u
/-!
# Multivariate quotients of polynomial functors.
Basic definition of multivariate QPF. QPFs form a... |
ed1919be3601f04404ddbe3b0d1dfeaa66ea8cb8 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/topology/list.lean | 18c935c780b6229bdc87c18c8cf83eb478cef381 | [
"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 | 8,751 | lean | /-
Copyright (c) 2019 Reid Barton. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
-/
import topology.constructions
import topology.algebra.group
/-!
# Topology on lists and vectors
-/
open topological_space set filter
open_locale topological_space filte... |
b7a2396d3062c3807b878b3ec8b1e87939051ccd | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/algebra/char_p/invertible.lean | 4144d91f24611a9dce8be3d7f5da4b35c61eb4ad | [
"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 | 2,201 | 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 algebra.invertible
import algebra.field.basic
import algebra.char_p.basic
/-!
# Invertibility of elements given a characteristic
This file includes some instances ... |
c97d7ad0f989243d22023c3c54b03518d9e465c7 | d796eac6dc113f68ec6fc0579c13e8eae2bdef6c | /Resources/Code/Category+Theory-Github-Topic/monoidal-categories-reboot/src/monoidal_categories_reboot/monoid_object.lean | ffbab1f88499a2ecda5e6bce82dac7441168c65a | [
"Apache-2.0"
] | permissive | paddlelaw/functional-discipline-content-cats | 5a7e13e8adedd96b94f66b0b3cbf1847bc86d7f6 | d93b7aa849b343c384cec40c73ee84a9300004e8 | refs/heads/master | 1,675,541,859,508 | 1,607,251,766,000 | 1,607,251,766,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 8,212 | lean | -- Copyright (c) 2018 Michael Jendrusch. All rights reserved.
import .monoidal_category
import .braided_monoidal_category
import tactic.rewrite_search
import .monoidal_functor
import .slice_tactic
open tactic.rewrite_search.metric
open tactic.rewrite_search.strategy
open tactic.rewrite_search.tracer
open category_theo... |
b72a16cd77df40d48de9e863e21af873f6e1c5f9 | 30b012bb72d640ec30c8fdd4c45fdfa67beb012c | /data/vector2.lean | 90164d7c084be650a9b8dc10be0e23592357f496 | [
"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 | 8,228 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
Additional theorems about the `vector` type.
-/
import data.vector data.list.basic data.sigma data.equiv.basic
category.traversable
universes u
variables {n : ℕ... |
78ace4c02a8f3d00c4f5c1802305cdaeeaab928c | 947fa6c38e48771ae886239b4edce6db6e18d0fb | /src/analysis/special_functions/sqrt.lean | 6a28132dbe8d3306fecba902013bbb03decf9d2f | [
"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 | 6,277 | lean | /-
Copyright (c) 2021 Yury G. Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury G. Kudryashov
-/
import analysis.calculus.cont_diff
/-!
# Smoothness of `real.sqrt`
In this file we prove that `real.sqrt` is infinitely smooth at all points `x ≠ 0` and pro... |
fc14ee19b92e739b376248df0deba4e7a42b4936 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/analysis/calculus/mean_value_auto.lean | f61ccc692b0266d89d68df57dbee49e8a24cf13a | [] | 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 | 53,514 | lean | /-
Copyright (c) 2019 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel, Yury Kudryashov
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.analysis.calculus.local_extr
import Mathlib.analysis.convex.topology... |
baec88538e112d977b74afc6d43b67d27f12b14a | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/measure_theory/constructions/pi.lean | e576954c67f23e6970068c9f61313ea5ddb93a3f | [
"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 | 31,442 | lean | /-
Copyright (c) 2020 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn
-/
import measure_theory.constructions.prod
import measure_theory.group.measure
/-!
# Product measures
In this file we define and prove properties about finite pro... |
00e9e470665423a632d3d5c434bbeb8a2e9538b1 | f5f7e6fae601a5fe3cac7cc3ed353ed781d62419 | /src/set_theory/cofinality.lean | 0a8c0a45faec37967c1a5e1bbdcb1a6ac625d451 | [
"Apache-2.0"
] | permissive | EdAyers/mathlib | 9ecfb2f14bd6caad748b64c9c131befbff0fb4e0 | ca5d4c1f16f9c451cf7170b10105d0051db79e1b | refs/heads/master | 1,626,189,395,845 | 1,555,284,396,000 | 1,555,284,396,000 | 144,004,030 | 0 | 0 | Apache-2.0 | 1,533,727,664,000 | 1,533,727,663,000 | null | UTF-8 | Lean | false | false | 17,374 | lean | /-
Copyright (c) 2017 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Mario Carneiro
Cofinality on ordinals, regular cardinals.
-/
import set_theory.ordinal
noncomputable theory
open function cardinal
local attribute [instance] classical.prop_decidable
... |
351c70aa392d4b291b9e6593942aaa860e1fb7ac | 206422fb9edabf63def0ed2aa3f489150fb09ccb | /src/order/bounded_lattice.lean | a302d761a3e8fc7882ec8516bc7df245a856bda6 | [
"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 | 41,798 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
Defines bounded lattice type class hierarchy.
Includes the Prop and fun instances.
-/
import order.lattice
import data.option.basic
import tactic.pi_instances
import l... |
cd70ea91b6675cc1e3b4e8c28592912e84449448 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/order/lattice_intervals.lean | e26b862a8113173e1e7e5c0d9f0055c11f385440 | [
"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 | 5,074 | 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 order.bounds.basic
/-!
# Intervals in Lattices
In this file, we provide instances of lattice structures on intervals within lattices.
Some of them depend on... |
a0e08c703a5b340be29c0a707318fd236397762e | 97c8e5d8aca4afeebb5b335f26a492c53680efc8 | /ground_zero/meta/hott_theory.lean | 4dd31b89c054f3d8da6a538a51ad51a039c4f6a0 | [] | no_license | jfrancese/lean | cf32f0d8d5520b6f0e9d3987deb95841c553c53c | 06e7efaecce4093d97fb5ecc75479df2ef1dbbdb | refs/heads/master | 1,587,915,151,351 | 1,551,012,140,000 | 1,551,012,140,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 467 | lean | open lean.parser interactive tactic
namespace ground_zero.meta.hott_theory
-- https://github.com/gebner/hott3/blob/master/src/hott/init/meta/support.lean
meta def exec_cmd (cmd : string) : lean.parser unit :=
with_input command_like cmd >> pure ()
@[user_command] meta def hott (meta_info : decl_meta_info)
(_ : par... |
a5f191c7e5c4796f24ca3f881df804f9ce6332ca | 618003631150032a5676f229d13a079ac875ff77 | /src/algebra/direct_sum.lean | 028a05f74351e0c369e51832cc9e5a13ee7f1117 | [
"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 | 6,313 | lean | /-
Copyright (c) 2019 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau
Direct sum of abelian groups, indexed by a discrete type.
-/
import data.dfinsupp
universes u v w u₁
variables (ι : Type v) [decidable_eq ι] (β : ι → Type w) [Π i, add_comm_gro... |
ffe45689bd116e4cceeb3c38bd0378f1c58e05a2 | ba4794a0deca1d2aaa68914cd285d77880907b5c | /src/game/world10/level3.lean | 5af3075ed7698ba56dce99e01ee2666a9bd8970b | [
"Apache-2.0"
] | permissive | ChrisHughes24/natural_number_game | c7c00aa1f6a95004286fd456ed13cf6e113159ce | 9d09925424da9f6275e6cfe427c8bcf12bb0944f | refs/heads/master | 1,600,715,773,528 | 1,573,910,462,000 | 1,573,910,462,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,221 | lean | import game.world10.level2 -- hide
namespace mynat -- hide
/-
# Inequality world.
## Level 3: le_succ_of_le
We have seen how the `use` tactic makes progress on goals of the form `⊢ ∃ c, ...`.
But what do we do when we have a *hypothesis* of the form `h : ∃ c, ...`?
The hypothesis claims that there exists some natu... |
7ea6bd4015b9dbe68006c314ef0b1018b51aeda5 | 957a80ea22c5abb4f4670b250d55534d9db99108 | /library/data/bitvec.lean | 479eb66cbfba1e017818f6520151383547ee2de5 | [
"Apache-2.0"
] | permissive | GaloisInc/lean | aa1e64d604051e602fcf4610061314b9a37ab8cd | f1ec117a24459b59c6ff9e56a1d09d9e9e60a6c0 | refs/heads/master | 1,592,202,909,807 | 1,504,624,387,000 | 1,504,624,387,000 | 75,319,626 | 2 | 1 | Apache-2.0 | 1,539,290,164,000 | 1,480,616,104,000 | C++ | UTF-8 | Lean | false | false | 6,604 | lean | /-
Copyright (c) 2015 Joe Hendrix. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joe Hendrix, Sebastian Ullrich
Basic operations on bitvectors.
This is a work-in-progress, and contains additions to other theories.
-/
import data.vector
@[reducible] def bitvec (n : ... |
a2b6346316b7b9926669340c6493756c3287fb70 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/order/preorder_hom.lean | cf25019025a19359549a91803b03fc5d03006b74 | [] | 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 | 6,367 | lean | /-
Copyright (c) 2020 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin
# Preorder homomorphisms
Bundled monotone functions, `x ≤ y → f x ≤ f y`.
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.logic.function.... |
c86cfba3e2cc256672770eb06c48dfdea014158c | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/topology/extend_from_subset_auto.lean | 4d34f7fe13a0d97c328b9ac2bc14ea0301f46c82 | [] | 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 | 3,441 | lean | /-
Copyright (c) 2020 Anatole Dedecker. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Patrick Massot, Anatole Dedecker
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.topology.separation
import Mathlib.PostPort
universes u_2 u_1
namesp... |
79e825b6237f67d1532d50571d2f9e65a2b317c5 | 5749d8999a76f3a8fddceca1f6941981e33aaa96 | /src/measure_theory/borel_space.lean | 578b8e24ba4f26bc55901c14ee5a394a7fb12f44 | [
"Apache-2.0"
] | permissive | jdsalchow/mathlib | 13ab43ef0d0515a17e550b16d09bd14b76125276 | 497e692b946d93906900bb33a51fd243e7649406 | refs/heads/master | 1,585,819,143,348 | 1,580,072,892,000 | 1,580,072,892,000 | 154,287,128 | 0 | 0 | Apache-2.0 | 1,540,281,610,000 | 1,540,281,609,000 | null | UTF-8 | Lean | false | false | 26,316 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
Borel (measurable) space -- the smallest σ-algebra generated by open sets
It would be nice to encode this in the topological space type class, i.e. each topological sp... |
f44d41328a0223baaffb60e9d61225b218797a2e | bb31430994044506fa42fd667e2d556327e18dfe | /src/algebra/homology/additive.lean | 2d2d5662d29398602169298c74860ace473a25aa | [
"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 | 11,709 | 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 algebra.homology.homology
import algebra.homology.single
import category_theory.preadditive.additive_functor
/-!
# Homology is an additive functor
When `V` i... |
c6b4dce52de10aee38a7c3a4e48d0dd5a0f437a0 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/measure_theory/tactic.lean | fbe92119878e9947c6d1a96aa4c6ba7ea6d822d7 | [
"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 | 6,379 | lean | /-
Copyright (c) 2021 Rémy Degenne. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Rémy Degenne
-/
import tactic.auto_cases
import tactic.tidy
import tactic.with_local_reducibility
import tactic.show_term
import measure_theory.measure_space_def
/-!
# Tactics for measur... |
2cbd461faeb2bf746ccaa84dc5995d28362a5dfb | 957a80ea22c5abb4f4670b250d55534d9db99108 | /tests/lean/run/nat_sub_ematch.lean | 41a794ac2097535a2656dea8f4696b892ada8e7a | [
"Apache-2.0"
] | permissive | GaloisInc/lean | aa1e64d604051e602fcf4610061314b9a37ab8cd | f1ec117a24459b59c6ff9e56a1d09d9e9e60a6c0 | refs/heads/master | 1,592,202,909,807 | 1,504,624,387,000 | 1,504,624,387,000 | 75,319,626 | 2 | 1 | Apache-2.0 | 1,539,290,164,000 | 1,480,616,104,000 | C++ | UTF-8 | Lean | false | false | 273 | lean | set_option trace.smt.ematch true
example (a b c d : nat) (f : nat → nat) : f d = a + b → f d - a + c = c + b :=
begin [smt]
intros,
eblast
end
example (a b c d : nat) (f : nat → nat) : f d = a + b → f d - (a + c) = b - c :=
begin [smt]
intros,
eblast
end
|
8f6007e06295a658f508c05ccb38d4c00aa178ad | 4727251e0cd73359b15b664c3170e5d754078599 | /src/analysis/normed_space/banach.lean | 8a1592f87469cb3f998f30810e78a9113ae80915 | [
"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 | 18,358 | lean | /-
Copyright (c) 2019 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import topology.metric_space.baire
import analysis.normed_space.operator_norm
import analysis.normed_space.affine_isometry
/-!
# Banach open mapping theorem
T... |
42b635cd792d685f5763780c86951092ee9c3707 | 61c3861020ef87c6c325fc3c3dcbabf5d6b07985 | /init/meta/rewrite.lean | 4e7c28ea06ddb8d5314ac0636edcf99478489c05 | [
"Apache-2.0"
] | permissive | jonas-frey/hott3 | a623be2959e8a713c03fa1b0f34bf76a561dfa87 | a944051b4eb5919bdc70978ee15fcbb48a824811 | refs/heads/master | 1,628,408,720,559 | 1,510,267,042,000 | 1,510,267,042,000 | 106,760,764 | 0 | 0 | null | 1,507,856,238,000 | 1,507,856,238,000 | null | UTF-8 | Lean | false | false | 3,185 | 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 ..path
open tactic expr
namespace hott
meta def instantiate_with_metas : expr → tactic expr | e := do
t ← infer_type e >>= whnf,
if ¬t.is_pi then return e else... |
1b5c76db83613e0a3c7a7d3324085f35bfe7bddd | 302c785c90d40ad3d6be43d33bc6a558354cc2cf | /src/algebra/group/basic.lean | 265d84be4647cdc5b4ae73fa2e282a69a3f18b80 | [
"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 | 16,070 | 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, Simon Hudon, Mario Carneiro
-/
import algebra.group.defs
import logic.function.basic
/-!
# Basic lemmas about semigroups, monoids, and groups
This f... |
934371f6a9068b05931bbfd895d756a5ef827d91 | e030b0259b777fedcdf73dd966f3f1556d392178 | /tests/lean/run/noncomputable_example.lean | 680b56d862b81f2012397e2cffc45d6f57fbcc1e | [
"Apache-2.0"
] | permissive | fgdorais/lean | 17b46a095b70b21fa0790ce74876658dc5faca06 | c3b7c54d7cca7aaa25328f0a5660b6b75fe26055 | refs/heads/master | 1,611,523,590,686 | 1,484,412,902,000 | 1,484,412,902,000 | 38,489,734 | 0 | 0 | null | 1,435,923,380,000 | 1,435,923,379,000 | null | UTF-8 | Lean | false | false | 176 | lean | open classical sum
noncomputable example (A : Type _) (h : (A → false) → false) : A :=
match type_decidable A with
| (inl ha) := ha
| (inr hna) := false.rec _ (h hna)
end
|
700a01d76ddc50da7a786ee669f8d8c6181e12c6 | 82e44445c70db0f03e30d7be725775f122d72f3e | /src/algebra/group/commute.lean | 63e6d33e9a469c4b1abd457496b8992b6d92fc08 | [
"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 | 5,858 | lean | /-
Copyright (c) 2019 Neil Strickland. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Neil Strickland, Yury Kudryashov
-/
import algebra.group.semiconj
/-!
# Commuting pairs of elements in monoids
We define the predicate `commute a b := a * b = b * a` and provide som... |
4e8f0b783599d375e0a0318e4a5cbc09e959872f | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/algebra/ring_quot.lean | 349d7236df2c7a317ab99747fbdf1eb80bcc2b09 | [
"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 | 16,515 | lean | /-
Copyright (c) 2020 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import algebra.algebra.basic
import ring_theory.ideal.basic
/-!
# Quotients of non-commutative rings
Unfortunately, ideals have only been developed in the commutati... |
b292ccbae779de824f13a4c415f9999970c867b2 | c86b74188c4b7a462728b1abd659ab4e5828dd61 | /stage0/src/Std/ShareCommon.lean | 0da14f9e7063a92e1c0ae9690e80643c11e97866 | [
"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 | 6,365 | 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 Std.Data.HashSet
import Std.Data.HashMap
import Std.Data.PersistentHashMap
import Std.Data.PersistentHashSet
namespace Std
universes u v
namespace S... |
ce99e0bd4abca02918d76d5c5c55d0457765d539 | 0c1546a496eccfb56620165cad015f88d56190c5 | /library/init/meta/constructor_tactic.lean | 30e7cfd26b0280ff7515f3ccb9c890046e823f8e | [
"Apache-2.0"
] | permissive | Solertis/lean | 491e0939957486f664498fbfb02546e042699958 | 84188c5aa1673fdf37a082b2de8562dddf53df3f | refs/heads/master | 1,610,174,257,606 | 1,486,263,620,000 | 1,486,263,620,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,527 | 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.tactic init.function
namespace tactic
meta def get_constructors_for (e : expr) : tactic (list name) :=
do env ← get_env,
I ←... |
38d7cb76f8f6da9bacead45b646738194c184e73 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/category_theory/monoidal/free/basic.lean | e3f694775af0084d1a57c797f19b18a7517129cb | [
"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 | 11,512 | lean | /-
Copyright (c) 2021 Markus Himmel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Markus Himmel
-/
import category_theory.monoidal.functor
/-!
# The free monoidal category over a type
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file require a c... |
4db74bef8f36ead0a1df382e745ca7b10d38cdab | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/example_false.lean | 90141839364de38985b86d13ef7b8295a25ab2e8 | [
"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 | 127 | lean | open expr tactic
example : false := by do
n ← mk_fresh_name,
apply (local_const n n binder_info.default (const ``false []))
|
37076917ea1f1a820881d99ae0353c3c228f635f | 618003631150032a5676f229d13a079ac875ff77 | /src/measure_theory/integration.lean | 2f8eaca9af266d7e1256b51a12058f841438a397 | [
"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 | 57,057 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Johannes Hölzl
Lebesgue integral on `ennreal`.
We define simple functions and show that each Borel measurable function on `ennreal` can be
approximated by a sequence ... |
dc3357cfd2dfcc4915f636e4cddc2becf7f9f02f | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/category_theory/preadditive/single_obj.lean | f92d716ddd20ae87852f2181f789e05efdaf272c | [
"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 | 719 | 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 category_theory.preadditive.basic
import category_theory.single_obj
/-!
# `single_obj α` is preadditive when `α` is a ring.
> THIS FILE IS SYNCHRONIZED WITH ... |
1c7c4ace0df382e326243c5a2168fc154d772bb2 | 8be24982c807641260370bd09243eac768750811 | /src/small_things.lean | 2c7a7b4c36443bca6ee32b845066260855d4a08f | [] | no_license | jjaassoonn/transcendental | 8008813253af3aa80b5a5c56551317e7ab4246ab | 99bc6ea6089f04ed90a0f55f0533ebb7f47b22ff | refs/heads/master | 1,607,869,957,944 | 1,599,659,687,000 | 1,599,659,687,000 | 234,444,826 | 9 | 1 | null | 1,598,218,307,000 | 1,579,224,232,000 | HTML | UTF-8 | Lean | false | false | 9,944 | lean | import data.real.basic
import algebra.big_operators
import data.polynomial
import analysis.calculus.deriv
import tactic
noncomputable theory
open_locale big_operators
def irrational (x : ℝ) := ∀ a b : ℤ, b > 0 -> x - a / b ≠ 0
theorem same_sum {s : finset ℕ} (f g : ℕ -> ℝ) (h : ∀ i ∈ s, f i = g i) : (∑ i in s, f i) ... |
e2749ab28a704fbd72d59d66c065073d1fbd34b1 | 3dc4623269159d02a444fe898d33e8c7e7e9461b | /.github/workflows/project_1_a_decrire/lean-scheme-submission/src/sheaves/presheaf.lean | fb24577a88d169a48dc8c4c8a32fbae84ab72a46 | [] | 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 | 2,077 | lean | /-
Presheaf (of types).
https://stacks.math.columbia.edu/tag/006D
-/
import topology.basic
import topology.opens
universes u v
-- Definition of a presheaf.
open topological_space lattice
structure presheaf (α : Type u) [topological_space α] :=
(F : opens α → Type v)
(res : ∀ (U V) (HVU : V ⊆ U), F U →... |
1c0344ade5e167e5ab05889bcf902d78e015d36f | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/linear_algebra/exterior_algebra/grading.lean | eee9bc304edb270dec0df9b65e6672a6f1bc29c8 | [
"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 | 3,535 | lean | /-
Copyright (c) 2021 Eric Wieser. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Eric Wieser
-/
import linear_algebra.exterior_algebra.basic
import ring_theory.graded_algebra.basic
/-!
# Results about the grading structure of the exterior algebra
Many of these resul... |
3e8cf7bbc52b2e089e6b383c2fe2d3cbe8feded4 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/800.lean | bcf3ead72c65a14549fc62b64b4b0d6a54d12106 | [
"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 | 470 | lean | import data.matrix data.list
open matrix nat list
variables {A : Type} {m n : nat}
definition row_vector [reducible] (A : Type) (n : nat) := matrix A 1 n
definition get_row [reducible] (M : matrix A m n) (row : fin m) : row_vector A n :=
λ i j, M row j
variables (M : matrix A m n) (row : fin m) (col : fin n)
notati... |
2f1c09e1dd4c2ddfd7375e083974cb6c8fa4465c | 94e33a31faa76775069b071adea97e86e218a8ee | /src/category_theory/sites/sheaf.lean | 11ad5aa1fb7dcbf81ee44f7672dfd70b88ab2a95 | [
"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 | 22,834 | lean | /-
Copyright (c) 2020 Kevin Buzzard, Bhavik Mehta. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kevin Buzzard, Bhavik Mehta
-/
import category_theory.limits.preserves.shapes.equalizers
import category_theory.limits.preserves.shapes.products
import category_theory.li... |
b5767dd23d7c31ea8045a5cf227c5c8c3f55bc7e | 4727251e0cd73359b15b664c3170e5d754078599 | /src/category_theory/limits/shapes/finite_limits.lean | c19576c8cf5f083111bde2e190be9d1b4b2eeede | [
"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 | 7,286 | lean | /-
Copyright (c) 2019 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import category_theory.fin_category
import category_theory.limits.shapes.binary_products
import category_theory.limits.shapes.equalizers
import category_theory.limits... |
a84fec3c4fe5326875924524b054d41c18cfa913 | 77c5b91fae1b966ddd1db969ba37b6f0e4901e88 | /src/order/monotone.lean | 50f6e5da970b2f7181161900f2b1891e44e9a5ae | [
"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 | 23,111 | lean | /-
Copyright (c) 2014 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Mario Carneiro, Yaël Dillies
-/
import order.basic
/-!
# Monotonicity
This file defines (strictly) monotone/antitone functions. Contrary to standard mathematical usage,... |
71dd54c67ae7f8e0f5f56d884696125b6e33b0f6 | ce6917c5bacabee346655160b74a307b4a5ab620 | /src/ch2/ex0208.lean | c3326df6fc9d8acffad8f029171906f51be46bcf | [] | no_license | Ailrun/Theorem_Proving_in_Lean | ae6a23f3c54d62d401314d6a771e8ff8b4132db2 | 2eb1b5caf93c6a5a555c79e9097cf2ba5a66cf68 | refs/heads/master | 1,609,838,270,467 | 1,586,846,743,000 | 1,586,846,743,000 | 240,967,761 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 13 | lean | #check Prop
|
8bf910456766887cc5585521784f5caeb17e697f | 2eab05920d6eeb06665e1a6df77b3157354316ad | /src/group_theory/group_action/defs.lean | a47d3f47de804fd0ce32eec2ea43e3f136fda05c | [
"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 | 23,936 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Yury Kudryashov
-/
import algebra.group.defs
import algebra.group.hom
import algebra.group.type_tags
import logic.embedding
/-!
# Definitions of group actions
This file d... |
03f222e2deb3bca93af8d35061353d31c081fa1f | 4727251e0cd73359b15b664c3170e5d754078599 | /src/topology/homotopy/basic.lean | e5f049e094584ce07c65d5d542caa27224a8c5d8 | [
"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 | 20,426 | lean | /-
Copyright (c) 2021 Shing Tak Lam. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Shing Tak Lam
-/
import topology.algebra.order.proj_Icc
import topology.continuous_function.ordered
import topology.compact_open
import topology.unit_interval
/-!
# Homotopy between f... |
881ac4877705845ab00107663d2146300b79593b | c45b34bfd44d8607a2e8762c926e3cfaa7436201 | /uexp/src/uexp/rules/ex3sigmod92.lean | f4c8bbd9882eb0dd5ba53caebad2402e57a8a1ff | [
"BSD-2-Clause"
] | permissive | Shamrock-Frost/Cosette | b477c442c07e45082348a145f19ebb35a7f29392 | 24cbc4adebf627f13f5eac878f04ffa20d1209af | refs/heads/master | 1,619,721,304,969 | 1,526,082,841,000 | 1,526,082,841,000 | 121,695,605 | 1 | 0 | null | 1,518,737,210,000 | 1,518,737,210,000 | null | UTF-8 | Lean | false | false | 1,849 | lean | import ..sql
import ..tactics
import ..u_semiring
import ..extra_constants
import ..cosette_tactics
open Expr
open Proj
open Pred
open SQL
variables i0 i468 : const datatypes.int
theorem rule :
forall (Γ scm_itl scm_itp : Schema)
(rel_itl : relation scm_itl)
(rel_itp : relation scm_itp)
... |
11571b01dc4127d4905ecc65238d262b9511946d | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/analysis/box_integral/box/subbox_induction.lean | c3aa323169157c4090081483e1e0d5f7ede97352 | [
"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 | 8,113 | lean | /-
Copyright (c) 2021 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov
-/
import analysis.box_integral.box.basic
import analysis.specific_limits.basic
/-!
# Induction on subboxes
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes ... |
d850a1840e7ecbd3ae227f01fb8315bae10a654e | 30b012bb72d640ec30c8fdd4c45fdfa67beb012c | /linear_algebra/lc.lean | 47d4b691b71c0dcdc6581ede75bbaf0a1e0061fd | [
"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 | 9,684 | 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
The module `lc α β` of linear combinations over `β` (`α` is the scalar ring)
-/
import linear_algebra.basic
noncomputable theory
open classical functio... |
803360ca9666b3219944e2c7ab62fb6992f8bfc4 | 618003631150032a5676f229d13a079ac875ff77 | /src/set_theory/zfc.lean | ad0a4b4797d7f31000dc78875e03dd652221adaf | [
"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 | 30,830 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Mario Carneiro
A model of ZFC in Lean.
-/
import data.set.basic
universes u v
/-- The type of `n`-ary functions `α → α → ... → α`. -/
def arity (α : Type u) : nat → Type u
| 0 :=... |
4b89e08e77803d54499d8753cd730e88380f85f4 | 947b78d97130d56365ae2ec264df196ce769371a | /tests/lean/run/strInterpolation.lean | 5ba9c13351b264d43892aa081e0847968c9dc556 | [
"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 | 4,325 | lean | import Lean
new_frontend
namespace Lean.Parser
def strInterpolantStrLitKind := `strInterpolantStrLitKind
def strInterpolantKind := `strInterpolantKind
def isQuotableCharForStrInterpolant (c : Char) : Bool :=
c == '{' || isQuotableCharDefault c
partial def strInterpolantFn (p : ParserFn) : ParserFn :=
fun c s =>
le... |
ff412d598ac95a50519d1e6d7093b46e69a3493a | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/simpDischargeLoop.lean | 5abdeabba0dcb615e050ffae910e18a65120f136 | [
"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 | 1,082 | lean | open Nat
def double : Nat → Nat
| zero => 0
| succ n => succ (succ (double n))
theorem double.inj : double n = double m → n = m := by
intro h
induction n generalizing m with
| zero => cases m <;> trivial
| succ n ih =>
cases m with
| zero => contradiction
| succ m =>
simp [double] at... |
a4dcd41874d9d143089f8dc6c9b6945b1af39099 | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /library/init/meta/relation_tactics.lean | e2030226c39d4ec054c835ca2ee071fdfcfb16d9 | [
"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 | 954 | 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.tactic init.function
namespace tactic
open expr
private meta_definition relation_tactic (op_for : environment → name → option nam... |
ce2f179053d2d1d756384852153352b91edd7644 | 8b9f17008684d796c8022dab552e42f0cb6fb347 | /hott/init/hedberg.hlean | 661a9b2dd5f8b66cdd242aefc5b4791d1f24e2dd | [
"Apache-2.0"
] | permissive | chubbymaggie/lean | 0d06ae25f9dd396306fb02190e89422ea94afd7b | d2c7b5c31928c98f545b16420d37842c43b4ae9a | refs/heads/master | 1,611,313,622,901 | 1,430,266,839,000 | 1,430,267,083,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,498 | hlean | /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura
Hedberg's Theorem: every type with decidable equality is a hset
-/
prelude
import init.trunc
open eq eq.ops nat is_trunc sigma
-- TODO(Leo): move const coll... |
5a621cf9ec2b1c378668c4308244b407b8648d03 | dd0f5513e11c52db157d2fcc8456d9401a6cd9da | /07_Induction_and_Recursion.org.13.lean | bb5f0712f7c94bcde73869df83b62937b7e7fd78 | [] | no_license | cjmazey/lean-tutorial | ba559a49f82aa6c5848b9bf17b7389bf7f4ba645 | 381f61c9fcac56d01d959ae0fa6e376f2c4e3b34 | refs/heads/master | 1,610,286,098,832 | 1,447,124,923,000 | 1,447,124,923,000 | 43,082,433 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 987 | lean | /- page 104 -/
import standard
import data.examples.vector
open nat vector prod
definition map {A B C : Type} (f : A → B → C)
: Π {n : nat}, vector A n → vector B n → vector C n
| map nil nil := nil
| map (a::va) (b::vb) := f a b :: map va vb
-- BEGIN
print map
/-
definition map : Π {A : Type} {B : Type} {C ... |
2d041ef14ed795c62e6598fc37ad6740740bf17c | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/data/int/basic.lean | 1dfd6b5f840085788fa92a8bdf9eb9f5c446e84b | [
"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 | 59,116 | lean | /-
Copyright (c) 2016 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad
-/
import data.nat.pow
import order.min_max
/-!
# Basic operations on the integers
This file contains:
* instances on `ℤ`. The stronger one is `int.linear_ordered_comm_r... |
580191e96c520e92d1140b4a11d8e75902010ef5 | d1a52c3f208fa42c41df8278c3d280f075eb020c | /src/Lean/Meta/Inductive.lean | 84e5a2c865dbaedbc71b955976f4ab1638879346 | [
"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 | 766 | 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.Meta.Basic
/- Helper methods for inductive datatypes -/
namespace Lean.Meta
/- Return true if the types of the given constructors are compati... |
19e8f8aff9d9382f90aa22362077867e230d9f2b | 437dc96105f48409c3981d46fb48e57c9ac3a3e4 | /src/tactic/doc_commands.lean | 8e755e71bea8a058495518e3f3d6875aaf62341a | [
"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 | 16,896 | lean | /-
Copyright (c) 2020 Robert Y. Lewis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Robert Y. Lewis
-/
import tactic.fix_reflect_string
/-!
# Documentation commands
We generate html documentation from mathlib. It is convenient to collect lists of tactics, commands,... |
58779a39d9c4ca88600c350bb164d69c962b92ad | a6f55abce20abcd06e718cb3e5fba7bf8a230fa1 | /topic/alphabet.lean | fb52f182bc5bf194eac4a8b76e71c9a250429351 | [] | no_license | sonna0909/abc | b8a53e906d4d000d1f2347173a1cd4221757fabf | ff7b4c621cdf6d53937f2d1b6def28de2085a2aa | refs/heads/master | 1,599,114,664,248 | 1,573,634,309,000 | 1,573,634,309,000 | 219,406,484 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,084 | lean | [
{"key":"a","title":"A","spelling":"/eɪ/","subs":[
{"key":"apple", "title":"Apple","spelling":"/ˈapəl/"},
{"key":"apple", "title":"There is an apple","spelling":""},
{"key":"3_apples", "title":"There are three apples","spelling":""}]},
{"key":"b","title":"B","spelling":"/biː/","subs":[
{"key":"ball", "title":"Ball... |
5034d20b3e0c8e29a2be8558db7d4f1bc89735e7 | 367134ba5a65885e863bdc4507601606690974c1 | /src/tactic/linarith/frontend.lean | d1c36ef237fe4f376f0295053b3ae14205e4baa6 | [
"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 | 18,567 | lean | /-
Copyright (c) 2018 Robert Y. Lewis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Robert Y. Lewis
-/
import tactic.linarith.verification
import tactic.linarith.preprocessing
/-!
# `linarith`: solving linear arithmetic goals
`linarith` is a tactic for solving goal... |
cf2935584c95b97dbf143a1b5d4250d49175ab27 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/category_theory/monoidal/discrete.lean | 26dd0de12fe593e028c78a03241ae487a63e31dd | [] | 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 | 2,384 | lean | /-
Copyright (c) 2020 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.category_theory.monoidal.natural_transformation
import Mathlib.category_theory.discrete_cat... |
4858b86dd99940ce51655e32ad32a0fda73f0c1d | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/psum_wf_rec.lean | 270ffefbe7214ea59723ea722f427a8c72278368 | [
"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 | 828 | lean | def psum.alt'.sizeof {α β} [has_sizeof α] [has_sizeof β] : psum α β → nat
| (psum.inl a) := 2*sizeof a + 2
| (psum.inr b) := 2*sizeof b + 1
def sum_has_sizeof_2 {α β} [has_sizeof α] [has_sizeof β] : has_sizeof (psum α β) :=
⟨psum.alt'.sizeof⟩
local attribute [instance] sum_has_sizeof_2
local attribute [simp] nat.add_... |
585363893d24089fc7422eda02ee25109fa89e78 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/algebra/homology/Module.lean | 6e13beda5b2921ba7317ac29fcbc475b4f5e873e | [
"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 | 3,885 | 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 algebra.homology.homotopy
import algebra.category.Module.abelian
import algebra.category.Module.subobject
import category_theory.limits.concrete_category
/-!
... |
8799d9ed7433a67f40e2cde42a95557df3e6172b | 2a70b774d16dbdf5a533432ee0ebab6838df0948 | /_target/deps/mathlib/src/dynamics/circle/rotation_number/translation_number.lean | 190af0e84b994f850fc281e724d237d3271d53e5 | [
"Apache-2.0"
] | permissive | hjvromen/lewis | 40b035973df7c77ebf927afab7878c76d05ff758 | 105b675f73630f028ad5d890897a51b3c1146fb0 | refs/heads/master | 1,677,944,636,343 | 1,676,555,301,000 | 1,676,555,301,000 | 327,553,599 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 39,613 | lean | /-
Copyright (c) 2020 Yury G. Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Yury G. Kudryashov
-/
import analysis.specific_limits
import order.iterate
import order.semiconj_Sup
import algebra.iterate_hom
/-!
# Translation number of a monotone real map that... |
f6335ce6de797da651d7ca3c8bdf150bd8a6d8cd | 4727251e0cd73359b15b664c3170e5d754078599 | /src/category_theory/preadditive/projective_resolution.lean | c61f01a3c8343b7b3638881571ba98e9bcf37d9d | [
"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 | 13,023 | 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 category_theory.preadditive.projective
import algebra.homology.single
import algebra.homology.homotopy_category
/-!
# Projective resolutions
A projective res... |
497ed3f0db5b41f2c25691ca577cd41273142f52 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/topology/uniform_space/completion.lean | bf73ddbfece2b3b897b89fdb97906599e9d5729f | [] | 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 | 19,881 | lean | /-
Copyright (c) 2018 Patrick Massot. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Patrick Massot, Johannes Hölzl
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.topology.uniform_space.abstract_completion
import Mathlib.PostPort
univers... |
a9f5e09c10630c04fdb18811958f8d97d98f95d7 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/whnf_core1.lean | 4fefc2346a82e8d93ff0f01194aafd494cca52fe | [
"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 | 345 | lean | open tactic
definition f (a : nat) := a + 2
attribute [reducible]
definition g (a : nat) := a + 2
example (a : nat) : true :=
by do
to_expr ```(f a) >>= whnf >>= trace,
to_expr ```(g a) >>= whnf >>= trace,
to_expr ```(f a) >>= (λ e, whnf e reducible) >>= trace,
to_expr ```(g a) >>= (λ e, whnf e reducible) >>... |
28a6aa38bdb053bf1f2d84d77f59d7117e292cbb | 947b78d97130d56365ae2ec264df196ce769371a | /stage0/src/Lean/Compiler/IR/ElimDeadBranches.lean | 7465b705c81ac994cc6e00e3b4cb059eb745040c | [
"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 | 10,476 | 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
-/
import Lean.Compiler.IR.Format
import Lean.Compiler.IR.Basic
import Lean.Compiler.IR.CompilerM
namespace Lean
namespace IR
namespace UnreachableBranches
/... |
ca781c5b94a6e8e5c7e5f799e3739b7827c17e80 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/ring_theory/subsemiring/pointwise.lean | d27e654731c07bc1afb17051d83c430455f83e7d | [
"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 | 4,418 | lean | /-
Copyright (c) 2021 Eric Wieser. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Eric Wieser
-/
import algebra.group_ring_action
import ring_theory.subsemiring.basic
/-! # Pointwise instances on `subsemiring`s
This file provides the action `subsemiring.pointwise_mul... |
6932531c8e39cc1be19880cd087d88d6ac48c738 | 5d166a16ae129621cb54ca9dde86c275d7d2b483 | /library/init/meta/smt/ematch.lean | 282900a399996eeb269efd6e426296b9922ca8d4 | [
"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 | 7,073 | 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.meta.smt.congruence_closure
import init.meta.attribute init.meta.simp_tactic
import init.meta.interactive_base
open tactic
/- Heuristic... |
9e0d091241c3ca235ec715f95828940836a3ef7c | bbecf0f1968d1fba4124103e4f6b55251d08e9c4 | /src/analysis/normed_space/mazur_ulam.lean | 5d429c7aa6c332e92ea3c7a1b2e7757a2b845eac | [
"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 | 6,862 | 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.instances.real_vector_space
import analysis.normed_space.affine_isometry
import linear_algebra.affine_space.midpoint
/-!
# Mazur-Ulam Theorem
Mazu... |
750908a1e89d9a3a132b9a207715156c618e6961 | 71c62298fd72620ddff9e4ed896ca29a77073a7c | /ind.lean | e24796dea8c0cfe16a31d2c8ae68d7a217fdf4bd | [] | no_license | BelegCuthalion/lean-exc | dcfe8e4c2293a661a830ce06f5fa032563901ec6 | 9143dc8b8aac62b9b2dcee85b619fe5c2e2a7144 | refs/heads/master | 1,688,507,036,780 | 1,627,883,419,000 | 1,627,883,419,000 | 335,643,688 | 3 | 2 | null | null | null | null | UTF-8 | Lean | false | false | 1,758 | lean | namespace ind
inductive nat : Type
| O : nat
| S : nat → nat
namespace nat
def add : nat → nat → nat
| O n := n
| (S m) n := S (add m n)
notation x `+` y := add x y
def mul : nat → nat → nat
| O n := O
| (S m) n := add n (mul m n)
#reduce (S (S O)) + (S (S (S O)))
theor... |
e02e3004203849f847a0e280b06b2cc18504201f | 367134ba5a65885e863bdc4507601606690974c1 | /src/tactic/finish.lean | dd2c17e32c7b6ea122dd097ae3871e2492e71778 | [
"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 | 20,429 | lean | /-
Copyright (c) 2017 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Jesse Michael Han
-/
import tactic.hint
/-!
# The `finish` family of tactics
These tactics do straightforward things: they call the simplifier, split conjunctive assump... |
a9cfadeac773da889733511fbe26ebee49f97965 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/data/polynomial/expand.lean | b10b2f384b09d988d17c78b446750734641f0c35 | [
"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 | 9,605 | lean | /-
Copyright (c) 2020 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau
-/
import ring_theory.polynomial.basic
import ring_theory.ideal.local_ring
import tactic.ring_exp
/-!
# Expand a polynomial by a factor of p, so `∑ aₙ xⁿ` becomes `∑ aₙ xⁿᵖ`.
##... |
dc3b870811e09c8503afae909257b4abffa55b24 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/data/finsupp/basic.lean | ae25e8f65ba2e8ae261d919ae64f180a85c03751 | [
"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 | 63,748 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Scott Morrison
-/
import algebra.big_operators.finsupp
import algebra.hom.group_action
import algebra.regular.smul
import data.finset.preimage
import data.list.alist
im... |
5960e7de2992706ab6f8f8c108cb21ff8bcc8be1 | 3c9dc4ea6cc92e02634ef557110bde9eae393338 | /src/Lean/Meta/SynthInstance.lean | a560e705537bac85e74e1f2ce41f5b97720efb72 | [
"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 | 25,605 | 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
Type class instance synthesizer using tabled resolution.
-/
import Lean.Meta.Basic
import Lean.Meta.Instances
import Lean.Meta.LevelDefEq
impor... |
6b29788f845f3a07c089b84d863350d9a091ca15 | 4d3f29a7b2eff44af8fd0d3176232e039acb9ee3 | /LAMR/Examples/using_lean/examples1.lean | cf985e881ee814a8e4d3abb0f279a811a9fb7421 | [] | no_license | marijnheule/lamr | 5fc5d69d326ff92e321242cfd7f72e78d7f99d7e | 28cc4114c7361059bb54f407fa312bf38b48728b | refs/heads/main | 1,689,338,013,620 | 1,630,359,632,000 | 1,630,359,632,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,679 | lean |
-- textbook: expressions
#check 2 + 2
#check -5
#check [1, 2, 3]
#check #[1, 2, 3]
#check (1, 2, 3)
#check "hello world"
#check true
#check fun x => x + 1
#check fun x => if x = 1 then "yes" else "no"
-- end textbook: expressions
-- textbook: types
#check Nat
#check Int
#check List Nat
#check Array Nat
#check Nat × ... |
b1bf5681c2b169dacc372c6ec08e70a968bdb453 | dc15192b741b5d1c22cea8d65d6eb38bce3d838d | /src/base.lean | d1c2ed1cf02c2d42b59754e64f31d70ac42e5b22 | [] | no_license | VArtem/lean-matroids | 86910241ac8d1a5ec7b35adb77c1cc9969480fb9 | a8969b1cb2456820ccbdce65e2e168c48c30d9bf | refs/heads/main | 1,678,556,999,525 | 1,614,537,008,000 | 1,614,537,008,000 | 338,915,729 | 0 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 2,136 | lean | import data.fintype.basic
import tactic
import matroid
import finset
import base_of
variables {α : Type*} [fintype α] [decidable_eq α] {m : matroid α} {A B: finset α}
open finset
namespace matroid
lemma base_eq_card (hA : m.base A) (hB : m.base B) : A.card = B.card :=
by {rw [←base_of_univ_iff_base] at *, exact ... |
47b92cd34492891fbcf52ece6b31f8a1bed59b04 | 5e3548e65f2c037cb94cd5524c90c623fbd6d46a | /src_icannos_totilas/applications_lineaires/cpge_applin_2.lean | 8cd0de6c72bc62139ca8fd9c30101c48b07de895 | [] | 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 | 287 | lean | import algebra.module.linear_map
import data.real.basic
def f (x y : ℝ) : prod ℝ ℝ := (x+y, x-y)
theorem cpge_applin_2 [module ℝ (prod ℝ ℝ )] [E : set (prod ℝ ℝ)]:
∃ g : (linear_equiv ℝ (prod ℝ ℝ) (prod ℝ ℝ)),
∀ x y : ℝ , (f x y) = (g (x, y)) := sorry |
c79cf2e4894645526e7f6b7add93e5090468305d | 947b78d97130d56365ae2ec264df196ce769371a | /src/Lean/Meta/KAbstract.lean | 065c32452e05a0945547c06e7676bf9efec6a13f | [
"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 | 1,882 | lean | /-
Copyright (c) 2020 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura
-/
import Lean.Data.Occurrences
import Lean.HeadIndex
import Lean.Meta.ExprDefEq
namespace Lean
namespace Meta
private partial def kabstractAux (occs : Occurr... |
4a2046713995c8d6c7a2c3765c9028feb039ee50 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/topology/metric_space/holder.lean | ab2bd573e5f5cde79fdd9450ec00b227bd9830e3 | [
"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 | 9,797 | lean | /-
Copyright (c) 2021 Yury G. Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury G. Kudryashov
-/
import topology.metric_space.lipschitz
import analysis.special_functions.pow.continuity
/-!
# Hölder continuous functions
> THIS FILE IS SYNCHRONIZED WITH M... |
99e3e2d16cb981929f4bdd9c2b5b977015d4bb6d | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/export2.lean | 3472483fa06a39c006dc215ffc0b36f5f42eecb7 | [
"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 | 156 | lean | open nat
definition foo : nat := 30
namespace foo
definition x : nat := 10
definition y : nat := 20
end foo
export foo
example : x + y = foo := rfl
|
9ae91b434cd3de7faab73babb06d786eb1c3f1e6 | c777c32c8e484e195053731103c5e52af26a25d1 | /src/ring_theory/derivation.lean | 8816fcedc40de493db236da9b7a4fd51820915e4 | [
"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 | 19,995 | lean | /-
Copyright © 2020 Nicolò Cavalleri. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Nicolò Cavalleri, Andrew Yang
-/
import algebra.lie.of_associative
import ring_theory.adjoin.basic
import ring_theory.ideal.quotient_operations
/-!
# Derivations
This file defines d... |
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