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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
d98ba93707b569b076e9222fd9efcd00cca65119 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/ring_theory/integral_domain.lean | 77edf0ced38cd37a27e441e27a32f3d8c93a1326 | [
"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 | 7,814 | lean | /-
Copyright (c) 2020 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin, Chris Hughes
-/
import data.fintype.card
import data.polynomial.ring_division
import group_theory.specific_groups.cyclic
import algebra.geom_sum
/-!
# Integral domain... |
caf7702cbef18397d52a09844cf2abb4f406c9fe | 82b86ba2ae0d5aed0f01f49c46db5afec0eb2bd7 | /stage0/src/Lean/Meta/Tactic/Util.lean | e00498dd934418c4b4ae633ae5e0a58250915fdd | [
"Apache-2.0"
] | permissive | banksonian/lean4 | 3a2e6b0f1eb63aa56ff95b8d07b2f851072d54dc | 78da6b3aa2840693eea354a41e89fc5b212a5011 | refs/heads/master | 1,673,703,624,165 | 1,605,123,551,000 | 1,605,123,551,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,005 | 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.Meta.Basic
import Lean.Meta.AppBuilder
import Lean.Meta.LevelDefEq
namespace Lean.Meta
/-- Aka user name -/
def getMVarTag (mvarId : MVarId) :... |
bda008da77625bf3138930ed3099e2ad91c047d6 | 75c54c8946bb4203e0aaf196f918424a17b0de99 | /src/pSet_ordinal.lean | 9a026d8fedc50b948dc32168bcbd1ca9fe29ae3a | [
"Apache-2.0"
] | permissive | urkud/flypitch | 261e2a45f1038130178575406df8aea78255ba77 | 2250f5eda14b6ef9fc3e4e1f4a9ac4005634de5c | refs/heads/master | 1,653,266,469,246 | 1,577,819,679,000 | 1,577,819,679,000 | 259,862,235 | 1 | 0 | Apache-2.0 | 1,588,147,244,000 | 1,588,147,244,000 | null | UTF-8 | Lean | false | false | 63,437 | lean | /-
Copyright (c) 2019 The Flypitch Project. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jesse Han, Floris van Doorn
-/
import set_theory.zfc tactic.tidy .to_mathlib
open ordinal
open cardinal
local prefix `#`:70 := cardinal.mk
noncomputable theory
local attrib... |
733a781f824b514ee385dcfd98561d5eebb10baa | 4efff1f47634ff19e2f786deadd394270a59ecd2 | /src/algebra/homology/chain_complex.lean | f4b849b0643e2f58d7fa34ce4e9ee7c06ad8dcb8 | [
"Apache-2.0"
] | permissive | agjftucker/mathlib | d634cd0d5256b6325e3c55bb7fb2403548371707 | 87fe50de17b00af533f72a102d0adefe4a2285e8 | refs/heads/master | 1,625,378,131,941 | 1,599,166,526,000 | 1,599,166,526,000 | 160,748,509 | 0 | 0 | Apache-2.0 | 1,544,141,789,000 | 1,544,141,789,000 | null | UTF-8 | Lean | false | false | 3,792 | 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 data.int.basic
import category_theory.graded_object
import category_theory.differential_object
/-!
# Chain complexes
We define a chain complex in `V` as a di... |
d8ebca361562f9f5c6f4b75a2446651d9b5e32bf | 22e97a5d648fc451e25a06c668dc03ac7ed7bc25 | /src/algebra/group/units_hom.lean | b68dbf5e485a27dffca6ae05bf17773497eb6fe4 | [
"Apache-2.0"
] | permissive | keeferrowan/mathlib | f2818da875dbc7780830d09bd4c526b0764a4e50 | aad2dfc40e8e6a7e258287a7c1580318e865817e | refs/heads/master | 1,661,736,426,952 | 1,590,438,032,000 | 1,590,438,032,000 | 266,892,663 | 0 | 0 | Apache-2.0 | 1,590,445,835,000 | 1,590,445,835,000 | null | UTF-8 | Lean | false | false | 4,998 | lean | /-
Copyright (c) 2018 Johan Commelin All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin, Chris Hughes, Kevin Buzzard
-/
import algebra.group.units
import algebra.group.hom
/-!
# Lift monoid homomorphisms to group homomorphisms of their units subgroups.
-/
u... |
e56e407f23cc21ee6757eefb057d4384eea8e655 | c777c32c8e484e195053731103c5e52af26a25d1 | /src/probability/kernel/basic.lean | e2068f99f01cc1207a18e36a0d3c8558c0a5e90c | [
"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 | 26,568 | lean | /-
Copyright (c) 2022 Rémy Degenne. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Rémy Degenne
-/
import measure_theory.constructions.prod
/-!
# Markov Kernels
A kernel from a measurable space `α` to another measurable space `β` is a measurable map
`α → measure β`,... |
1d6bc33d2470f981b43d2cd549726e370386050e | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /tests/playground/hashable.lean | 7dd48931723de3d20cf2ff61466f1fc88c37fa02 | [
"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 | EdAyers/lean4 | 57ac632d6b0789cb91fab2170e8c9e40441221bd | 37ba0df5841bde51dbc2329da81ac23d4f6a4de4 | refs/heads/master | 1,676,463,245,298 | 1,660,619,433,000 | 1,660,619,433,000 | 183,433,437 | 1 | 0 | Apache-2.0 | 1,657,612,672,000 | 1,556,196,574,000 | Lean | UTF-8 | Lean | false | false | 2,099 | lean | set_option trace.Elab.Deriving.hashable true
inductive SimpleInd
| A
| B
deriving Hashable
theorem «inductive fields have different base hashes» : ∀ x, hash x =
match x with
| SimpleInd.A => 0
| SimpleInd.B => 1 := λ x => rfl
mutual
inductive Foo : Type → Type
| A : Int → (3 = 3) → String → Foo Int
| B : Bar → Foo ... |
dbc6fc076278c97cea38363d2273d20fe581e042 | 67190c9aacc0cac64fb4463d93e84c696a5be896 | /Lists of exercises/List 4/garrafas.lean | 332d15d99627614f298ed40c2935437cc69192a0 | [] | no_license | lucasresck/Discrete-Mathematics | ffbaf55943e7ce2c7bc50cef7e3ef66a0212f738 | 0a08081c5f393e5765259d3f1253c3a6dd043dac | refs/heads/master | 1,596,627,857,734 | 1,573,411,500,000 | 1,573,411,500,000 | 212,489,764 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,210 | lean | /-
(X) We agree with sharing this code with the classmates.
Alunos:
- Lucas Emanuel Resck Domingues
- Lucas Machado Moschen
Considere uma fonte de água inesgotável e duas garrafas, uma de 5 e
outra de 7 litros, as quais não possuem quaisquer marcações que
possibilitem medidas de volumes intermediários às suas resp... |
49021e0ed2f92d799692fd3dfa55ece2fe9ec98d | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/interactive/Diff.lean | 4631737d41eb46f29e24c5e11c92601971daff52 | [
"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 | 621 | lean |
def hello : (x : Nat) → (h : x = x) → True := by
intro x
--^ goals
intro
--^ goals
trivial
def hello2 : (x : Nat) → (h : x = x) → True := by
intros
--^ goals
trivial
theorem qqww (x y : Nat) (f : (α → x = y)) (h : y = x) : True := by
rw [h] at f
--^ goals
trivial
theorem qqww2 (x y : Nat) (f : (... |
44afcfa7115db053784093251eb4fdde12321fce | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/analysis/inner_product_space/positive.lean | 8311d019874de6a1d8252dde3d8b711c81b083bc | [
"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 | 4,347 | lean | /-
Copyright (c) 2022 Anatole Dedecker. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Anatole Dedecker
-/
import analysis.inner_product_space.l2_space
import analysis.inner_product_space.adjoint
/-!
# Positive operators
In this file we define positive operators in a... |
b805d3cec3eb8f798d0628cf3730054f8f1a216e | 5ae26df177f810c5006841e9c73dc56e01b978d7 | /src/number_theory/pell.lean | 203d610a0bf372584d31a5065bd99d3fff2c898d | [
"Apache-2.0"
] | permissive | ChrisHughes24/mathlib | 98322577c460bc6b1fe5c21f42ce33ad1c3e5558 | a2a867e827c2a6702beb9efc2b9282bd801d5f9a | refs/heads/master | 1,583,848,251,477 | 1,565,164,247,000 | 1,565,164,247,000 | 129,409,993 | 0 | 1 | Apache-2.0 | 1,565,164,817,000 | 1,523,628,059,000 | Lean | UTF-8 | Lean | false | false | 37,083 | 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.nat.modeq data.zsqrtd.basic tactic.ring
namespace pell
open nat
section
parameters {a : ℕ} (a1 : a > 1)
include a1
private def d := a*a - 1
@[... |
cd71a22148377fec439a783db835d141cc370ad3 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/ring_theory/witt_vector/mul_p.lean | 91bd4b8de87e7bd5cdcf202188ff2795686ed5f7 | [] | no_license | AurelienSaue/Mathlib4_auto | f538cfd0980f65a6361eadea39e6fc639e9dae14 | 590df64109b08190abe22358fabc3eae000943f2 | refs/heads/master | 1,683,906,849,776 | 1,622,564,669,000 | 1,622,564,669,000 | 371,723,747 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,767 | lean | /-
Copyright (c) 2020 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.ring_theory.witt_vector.is_poly
import Mathlib.PostPort
universes u_1
namespace Mathlib
... |
5a8379126f73efbeffb91be6ac829d02a3bcb706 | 05f637fa14ac28031cb1ea92086a0f4eb23ff2b1 | /tests/lean/lua15.lean | 1a678e5e2445d62f502ba0b137a048ae9e986f98 | [
"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 | 234 | lean | import Int.
variables i j : Int
variable p : Bool
(*
local env = get_environment()
ok, ex = pcall(
function()
print(parse_lean("i + p"))
end)
assert(not ok)
assert(is_exception(ex))
print(ex:what())
ex:rethrow()
*)
|
9bf2959abb271f5d2df06f603acf5843d6422cdf | 22e97a5d648fc451e25a06c668dc03ac7ed7bc25 | /src/algebraic_geometry/presheafed_space.lean | 63748e11bf56b6bf9bb0b8f526145d15b59557f7 | [
"Apache-2.0"
] | permissive | keeferrowan/mathlib | f2818da875dbc7780830d09bd4c526b0764a4e50 | aad2dfc40e8e6a7e258287a7c1580318e865817e | refs/heads/master | 1,661,736,426,952 | 1,590,438,032,000 | 1,590,438,032,000 | 266,892,663 | 0 | 0 | Apache-2.0 | 1,590,445,835,000 | 1,590,445,835,000 | null | UTF-8 | Lean | false | false | 8,452 | 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 topology.sheaves.presheaf
/-!
# Presheafed spaces
Introduces the category of topological spaces equipped with a presheaf (taking values in an
arbitrary targe... |
157d0721a8dc8ed7b9faf9fff56f27a919f51e86 | 724b37749f589c3ad15e106a1a0610240659c140 | /Levenshtein.lean | 69d2ab033fe869eab5ef7c3f51ef63e737f01e0a | [
"Apache-2.0"
] | permissive | Vtec234/lean4-bits | 3865b6f11edbcdf82ea3a0a89d6ac8046fc41ef9 | 0d9340285b208553e0e0b31acfb2c9097ff4546a | refs/heads/master | 1,688,039,348,308 | 1,627,783,881,000 | 1,627,784,253,000 | 391,503,122 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,099 | lean | /-! Levenshtein Distance -/
import Init.Data.Array
def Array.iota (n : Nat) : Array Nat :=
List.range n |>.toArray
def lev' (s₀ : String) (s₁ : String) : Nat :=
let v₀ := Array.iota (s₁.length + 1)
let v₁ := Array.mkArray (s₁.length + 1) 0
let ⟨v₀, v₁⟩ : Array Nat × Array Nat :=
s₀.toList.enum.foldl (λ ... |
1aee1c69af5adf57b79596f9487e46f88ebed5dd | b561a44b48979a98df50ade0789a21c79ee31288 | /src/Lean/Elab/BuiltinCommand.lean | 8be3d5563da059d392731cd4489c64ff4daa9bed | [
"Apache-2.0"
] | permissive | 3401ijk/lean4 | 97659c475ebd33a034fed515cb83a85f75ccfb06 | a5b1b8de4f4b038ff752b9e607b721f15a9a4351 | refs/heads/master | 1,693,933,007,651 | 1,636,424,845,000 | 1,636,424,845,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 14,798 | lean | /-
Copyright (c) 2021 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.DocString
import Lean.Elab.Command
import Lean.Elab.Open
namespace Lean.Elab.Command
@[builtinCommandElab moduleDoc] def elabModuleDoc : Comma... |
b6ca4964f293514cb1e7bd42ea726bdac9f3f20f | 271e26e338b0c14544a889c31c30b39c989f2e0f | /stage0/src/Init/Data/ToString.lean | 5eca7af4ac0d5c1885586d268912d470e190038b | [
"Apache-2.0"
] | permissive | dgorokho/lean4 | 805f99b0b60c545b64ac34ab8237a8504f89d7d4 | e949a052bad59b1c7b54a82d24d516a656487d8a | refs/heads/master | 1,607,061,363,851 | 1,578,006,086,000 | 1,578,006,086,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,171 | lean | /-
Copyright (c) 2016 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.String.Basic
import Init.Data.UInt
import Init.Data.Nat.Div
import Init.Data.Repr
open Sum Subtype Nat
universes u v
class HasToSt... |
c42406ae3a50253a35168098767cc741e8df619c | 500f65bb93c499cd35c3254d894d762208cae042 | /src/tactic/finish.lean | 8ef7f9951bd98464c0e3f656dacc8be3b993653a | [
"Apache-2.0"
] | permissive | PatrickMassot/mathlib | c39dc0ff18bbde42f1c93a1642f6e429adad538c | 45df75b3c9da159fe3192fa7f769dfbec0bd6bda | refs/heads/master | 1,623,168,646,390 | 1,566,940,765,000 | 1,566,940,765,000 | 115,220,590 | 0 | 1 | null | 1,514,061,524,000 | 1,514,061,524,000 | null | UTF-8 | Lean | false | false | 21,584 | 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
These tactics do straightforward things: they call the simplifier, split conjunctive assumptions,
eliminate existential quantifiers on the left, and lo... |
2a02fe27b140fc22891afecebad28869b6209e8c | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /archive/imo/imo2019_q2.lean | b93b1046604ed6c30228d64dbf8d2b397c65268b | [
"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 | 26,667 | lean | /-
Copyright (c) 2022 Joseph Myers. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Myers
-/
import geometry.euclidean.angle.sphere
import geometry.euclidean.sphere.second_inter
/-!
# IMO 2019 Q2
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this ... |
dcdbc69b6e573d55cb35713faafacc5a63f6c367 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/linear_algebra/dfinsupp.lean | 230147f10ca12152b046239891ef83c1b58dc90e | [
"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 | 18,403 | lean | /-
Copyright (c) 2018 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Kenny Lau
-/
import data.finsupp.to_dfinsupp
import linear_algebra.basis
/-!
# Properties of the module `Π₀ i, M i`
Given an indexed collection of `R`-modules `M i`, the `... |
ec9fc2e2e2a8ff1d1d2b4f21f816863eb288574d | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/number_theory/padics/default.lean | 9eaf5cc607bb8abdabdea3c7d1edcc42dad1c3e7 | [
"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 | 43 | lean | import number_theory.padics.padic_integers
|
aa7cdb0045f52a57b86c2944367547bbd3287741 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/category_theory/Fintype.lean | 08d43243895d28448a7f96dd29a7bc9540fbb1ca | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 4,936 | lean | /-
Copyright (c) 2020 Adam Topaz. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Bhavik Mehta, Adam Topaz
-/
import category_theory.concrete_category.basic
import category_theory.full_subcategory
import category_theory.skeletal
import category_theory.elementwise
impor... |
5346399ab536103aba1a1af543259306a487f015 | 1e3a43e8ba59c6fe1c66775b6e833e721eaf1675 | /src/analysis/convex/basic.lean | 90563f3e7bb0aaa18bc77156ccc5b3948e8019fd | [
"Apache-2.0"
] | permissive | Sterrs/mathlib | ea6910847b8dfd18500486de9ab0ee35704a3f52 | d9327e433804004aa1dc65091bbe0de1e5a08c5e | refs/heads/master | 1,650,769,884,257 | 1,587,808,694,000 | 1,587,808,694,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 37,852 | lean | /-
Copyright (c) 2019 Alexander Bentkamp. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Alexander Bentkamp, Yury Kudriashov
-/
import data.set.intervals
import ring_theory.algebra
import algebra.pointwise
/-!
# Convex sets and functions on real vector spaces
In a re... |
93bf52d4a9ad8b2fe7550ffdcdce0a4de2bc2ceb | 947b78d97130d56365ae2ec264df196ce769371a | /tests/compiler/lazylist.lean | 5a8ff24a280121d300a39e7c94188ce7aa9aac2a | [
"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 | 3,963 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura
-/
universes u v w
inductive LazyList (α : Type u)
| nil : LazyList
| cons (hd : α) (tl : LazyList) : LazyList
| delayed (t : Thunk L... |
526084dce7cc246e41838cab437665d35595c37b | 4d3f29a7b2eff44af8fd0d3176232e039acb9ee3 | /Mathlib/Mathlib/Init/Logic.lean | 5ed06064b6f5b6f14da51022dfd54df7c5b4c1b8 | [] | 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 | 22,554 | 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
-/
import Mathlib.Tactic.Basic
universe u v w
@[simp] theorem opt_param_eq (α : Sort u) (default : α) : optParam α default ... |
cf4946daa47d36a4faa10e6441b116281795c9a9 | 2ee768fce4d0783536570385ee340d97e2411436 | /src/monotonicity.lean | c261890ade5ee3f6eb5174ce9aa5e7c2247c33a3 | [] | no_license | agjftucker/exists-unique | 835cf0c0ec622d49dbceb84be37db62e6ab8a6d0 | 1fba6035a08347f424c765d8a1c56b1a15c8abbe | refs/heads/master | 1,683,445,592,336 | 1,622,649,822,000 | 1,622,649,822,000 | 309,485,697 | 2 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,072 | lean | import u_prop
variables {𝒩 : Type} [decidable_eq 𝒩] {T : with_top ℝ}
variables {ℋ : well_behaved_soln 𝒩 T} {ℰ : equity_function 𝒩 T}
namespace mo
variable {A : finset 𝒩}
lemma ssubsets_sup'_le {hA : A.ssubsets.nonempty} : A.ssubsets.sup' hA (u ℋ ℰ) ≤ u ℋ ℰ A :=
begin
apply finset.sup'_le _ (u ℋ ℰ),
intros B... |
3d6816c47a3e3590d7f4bf0c42db761c70f9e3c5 | 7b4371534ac437ca8cfb325dd5c6638ff111d31a | /sum_over.lean | 5c69644e2cd539dd20e489b4a6d4de63077b7010 | [] | no_license | Shamrock-Frost/boolean_rings | 6d78294568b6b9ad7b9c67b5de5e9545227826da | 5da11beeaa37ec186c1deff946f2dbf7594fceb4 | refs/heads/master | 1,588,394,857,485 | 1,553,973,949,000 | 1,553,973,949,000 | 177,757,941 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 27,225 | lean | import .finite .heq
section
parameters {R : Type _} [semiring R]
def sum_over : Π {n} (f : fin n → R), R
| 0 f := 0
| (n+1) f := sum_over (fin.restrict f) + f ⟨n, nat.lt_succ_self n⟩
lemma sum_over.step {n} (f : fin (nat.succ n) → R)
: sum_over f = sum_over (fin.restrict f) + f ⟨n, nat.lt_succ_self n⟩
:= rf... |
e64c389658c9a4a3ddbd8bbec916f3a81f8eecf2 | d9d511f37a523cd7659d6f573f990e2a0af93c6f | /src/measure_theory/integral/bochner.lean | 480e74c107edd510572a5f95ed337a50ce1c254b | [
"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 | 65,351 | lean | /-
Copyright (c) 2019 Zhouhang Zhou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Zhouhang Zhou, Yury Kudryashov, Sébastien Gouëzel, Rémy Degenne
-/
import measure_theory.integral.set_to_l1
import measure_theory.group.basic
import analysis.normed_space.bounded_linear... |
82ebce30c0a81723b0abb8c0754a34d1f2d4092c | 7cdf3413c097e5d36492d12cdd07030eb991d394 | /src/game/world4/level1.lean | c17b86cc1eac015b8cb5bec0ec75d548c87053a2 | [] | no_license | alreadydone/natural_number_game | 3135b9385a9f43e74cfbf79513fc37e69b99e0b3 | 1a39e693df4f4e871eb449890d3c7715a25c2ec9 | refs/heads/master | 1,599,387,390,105 | 1,573,200,587,000 | 1,573,200,691,000 | 220,397,084 | 0 | 0 | null | 1,573,192,734,000 | 1,573,192,733,000 | null | UTF-8 | Lean | false | false | 1,501 | lean | import game.world3.level9 -- hide
import mynat.pow -- new import
namespace mynat -- hide
-- World name : Power world
/- Axiom : pow_zero (a : mynat) :
a ^ 0 = 1
-/
/- Axiom : pow_succ (a b : mynat) :
a ^ succ(b) = a ^ b * b
-/
/-
# World 4 : Power World
A new world with seven levels. And a new import!
This impor... |
b53f6dc19ff1cc36ea541303acbe0e13a0568cbb | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /tests/lean/run/exists_intro1.lean | 48cd5e8ce81f6e0d5d28c4a20cfc5811dd3266d4 | [
"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 | 674 | lean |
example : ∃ x : nat, x = x :=
Exists.intro 0 rfl
example : ∃ x : nat, x = x :=
exists.intro 0 rfl
lemma ex1 : ∃ x : nat, x = x :=
Exists.intro 0 rfl
lemma ex2 : ∃ x : nat, x = x :=
exists.intro 0 rfl
lemma ex3 : ∃ x y : nat, x = y :=
exists.intro 0 (exists.intro 0 rfl)
lemma ex4 : ∃ x y : nat, x = y + 1 :=
exists... |
20dbfbfd8626ee698005ca50ec0df831eeced062 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/1870.lean | 1bfb5ebda556d8f85b630400b056c352b518e619 | [
"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 | 833 | 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 Zero.ofOfNat0 {α} [OfNat α (nat_lit 0)] : Zero α where
zero := 0
class One (α : Type u) where
one : α
instance One.toOfNat1 {α} [One α] : OfNat α (nat_lit 1) where
ofNat ... |
6e65a50bcdbaf06beb755950cc8227c74d51e994 | f22a91842f18b5e855075b9becd55d2233756c6a | /src/misc/descent.lean | 5180ad46c38885dc2d2520a28cdde3b95a2abffa | [] | no_license | kckennylau/tao-analysis-one | 48cef1ee896d6703fcaf47ce5548e44f88901a0e | 2bd2d14c3c722bb36526c5a4e6b87618b2c081b1 | refs/heads/master | 1,621,002,517,963 | 1,514,151,057,000 | 1,514,151,057,000 | 115,971,702 | 0 | 0 | null | 1,514,864,495,000 | 1,514,864,495,000 | null | UTF-8 | Lean | false | false | 156 | lean | lemma noetherian :
∀ P : ℕ → Prop, (∀ x, (∀ y, y < x → P y) → P x) → (∀ x, P x) :=
λ P h₁ x, well_founded.fix nat.lt_wf h₁ x
|
83004df912dc0f12edb920559929c2966857f1bd | dc253be9829b840f15d96d986e0c13520b085033 | /component.hlean | 9e05a55770747be780f00da0f16f378638880f72 | [
"Apache-2.0"
] | permissive | cmu-phil/Spectral | 4ce68e5c1ef2a812ffda5260e9f09f41b85ae0ea | 3b078f5f1de251637decf04bd3fc8aa01930a6b3 | refs/heads/master | 1,685,119,195,535 | 1,684,169,772,000 | 1,684,169,772,000 | 46,450,197 | 42 | 13 | null | 1,505,516,767,000 | 1,447,883,921,000 | Lean | UTF-8 | Lean | false | false | 3,925 | hlean | -- Author: Floris van Doorn
import homotopy.connectedness .move_to_lib
open eq equiv pointed is_conn is_trunc sigma prod trunc function group nat fiber
namespace is_conn
open sigma.ops pointed trunc_index
/- this is equivalent to pfiber (A → ∥A∥₀) ≡ connect 0 A -/
definition component [constructor] (A : Type... |
6b4ea7874348ccb091bd2fb8e60a93b03d1e0508 | 432d948a4d3d242fdfb44b81c9e1b1baacd58617 | /src/analysis/calculus/fderiv_measurable.lean | 09e7de4c17b18a4a3cfe4f82d18a66e077477754 | [
"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 | 21,739 | lean | /-
Copyright (c) 2020 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel, Yury Kudryashov
-/
import analysis.calculus.deriv
import measure_theory.borel_space
/-!
# Derivative is measurable
In this file we prove that the derivative of... |
2f7c21665692d78b2f75faf89fcb8e41562d9fd3 | b70031c8e2c5337b91d7e70f1e0c5f528f7b0e77 | /src/linear_algebra/quadratic_form.lean | ca8d97b6a22ceeacccbf6322a54dc2a13a39d35b | [
"Apache-2.0"
] | permissive | molodiuc/mathlib | cae2ba3ef1601c1f42ca0b625c79b061b63fef5b | 98ebe5a6739fbe254f9ee9d401882d4388f91035 | refs/heads/master | 1,674,237,127,059 | 1,606,353,533,000 | 1,606,353,533,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 20,882 | lean | /-
Copyright (c) 2020 Anne Baanen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Anne Baanen
-/
import algebra.invertible
import linear_algebra.bilinear_form
import linear_algebra.determinant
import linear_algebra.special_linear_group
/-!
# Quadratic forms
This file... |
03b5ae4366eaa9987a8045d1231a43561b4164cb | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/1359.lean | 2fbfb0842e72629247aaee37895eba3da020aad1 | [
"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 | 177 | lean | #check (by exact 42) = Nat.zero -- invalid 'by' tactic, expected type has not been provided
#check (by exact 42) + 1 -- invalid 'by' tactic, expected type has not been provided
|
befcfdd0468a02e0b68374ca45eea16fad4b7fb7 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/logic/relator.lean | c9ea9b0afedac5b7b19c08ab5691a75a19416840 | [
"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 | 3,463 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
Relator for functions, pairs, sums, and lists.
-/
import logic.basic
namespace relator
universes u₁ u₂ v₁ v₂
/- TODO(johoelzl):
* should we introduce relators of da... |
588f0fb747f83a362a4e8e6fdcb7a71847fdcd24 | 05f637fa14ac28031cb1ea92086a0f4eb23ff2b1 | /tests/lean/univ3.lean | 31a3cf0df9ba87b04d4b2541ad01a8fadb08117c | [
"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 | 99 | lean | universe Z >= 0
definition Z := 0
eval Z
definition TZ := (Type Z)
eval TZ
definition U := 1
eval U |
22f44ba9160407d238d1b40c2bae62070e686f2d | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/category_theory/limits/constructions/zero_objects.lean | a4d2f763aba751faddcc3405f96070c9d70cb536 | [
"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 | 7,253 | 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 category_theory.limits.shapes.pullbacks
import category_theory.limits.shapes.zero_morphisms
import category_theory.limits.constructions.binary_products
/-!
# ... |
85b67c7fcf2d9847e1b023b3bb5aa6c6ada2542b | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/number_theory/cyclotomic/primitive_roots.lean | a6dc27d8567dfca27d0bf9a35898a3eed716c117 | [
"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 | 25,510 | lean | /-
Copyright (c) 2022 Riccardo Brasca. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Alex Best, Riccardo Brasca, Eric Rodriguez
-/
import data.pnat.prime
import algebra.is_prime_pow
import number_theory.cyclotomic.basic
import ring_theory.adjoin.power_basis
import ri... |
e967aae7427465c2d22802d7f22ef6d2b8ced9cb | d1a52c3f208fa42c41df8278c3d280f075eb020c | /stage0/src/Lean/Data/Name.lean | 353c4bf3d76c501493fee6c3309cf0e5fcb41951 | [
"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 | 5,921 | lean | /-
Copyright (c) 2018 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura
-/
import Std.Data.HashSet
import Std.Data.RBMap
import Std.Data.RBTree
import Lean.Data.SSet
namespace Lean
instance : Coe String Name := ⟨Name.mkSimple⟩
nam... |
915705d52019cee5ec522ef25c1e5dcd896d1d45 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/topology/algebra/star_subalgebra.lean | 241c1da3132bd5319ceefcfb7e7b72fcad788afc | [
"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 | 9,265 | lean | /-
Copyright (c) 2022 Jireh Loreaux. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jireh Loreaux
-/
import algebra.star.subalgebra
import topology.algebra.algebra
import topology.algebra.star
/-!
# Topological star (sub)algebras
> THIS FILE IS SYNCHRONIZED WITH MATH... |
d6f79ede7a240bc612bd11e687600cbd307c8df1 | 14d3c04048fcbea3818a26103a6e4f1c99fc6c62 | /src/application.lean | a3d8d3fe8ab6a16d2fc3dd0863a8f36bcbc553c2 | [] | no_license | gihanmarasingha/myint | 866a880ae7ade3de7d1e8550e6d2c4be94f1b85f | eba85880a500a7977cc4e23c9fa51877dfc82b58 | refs/heads/master | 1,682,793,960,074 | 1,619,541,459,000 | 1,619,541,459,000 | 360,702,700 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,658 | lean | import lemmas basic
namespace myint
example (a : nat) : a • (0 : myint) = (0 : myint) := smul_zero a
def five_z : add_subgroup int := add_subgroup.closure ({5} : set ℤ)
def five_mint : add_subgroup myint := add_subgroup.closure ({5} : set myint)
example (a b : int) : (-a - b) = -(a+b) := (neg_add' a b).symm
-- `f... |
9bda7f6cdbb23499cc3408190e3e8b4a1dded2e5 | aa5a655c05e5359a70646b7154e7cac59f0b4132 | /src/Init/Data/Repr.lean | b1925e0a6a8ee015b483bb7f0b6600c9aab83b95 | [
"Apache-2.0"
] | permissive | lambdaxymox/lean4 | ae943c960a42247e06eff25c35338268d07454cb | 278d47c77270664ef29715faab467feac8a0f446 | refs/heads/master | 1,677,891,867,340 | 1,612,500,005,000 | 1,612,500,005,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 6,757 | lean | /-
Copyright (c) 2016 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.Format.Basic
import Init.Data.Int.Basic
import Init.Data.Nat.Div
import Init.Data.UInt
import Init.Control.Id
open Sum Subtype Nat
... |
75ca46ac97554cbec81edbfb8fc298b413d9a270 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/data/list/sort.lean | 914259bc948b364c26538688b579625bd1a18f53 | [
"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 | 14,909 | 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.list.of_fn
import data.list.perm
/-!
# Sorting algorithms on lists
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file require a corresp... |
756b1c82af6f145424fe1f749bcf025b9139b831 | ae1e94c332e17c7dc7051ce976d5a9eebe7ab8a5 | /tests/lean/run/incmd.lean | 3e3c1cfe8f5abe9fa106419f3eb0683e6242df63 | [
"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 | 224 | lean |
variable {α : Type} in
def f : α → α :=
fun x => x
#check @f
variables {α : Type} {β : Type} in
variable (h : α → α) in
set_option pp.raw.maxDepth 1000 in
def g : α → β → α :=
fun x _ => h x
#check @g
|
0c3bd8835e76e19e0b58b9ecbaacf461dd0786e5 | 26ac254ecb57ffcb886ff709cf018390161a9225 | /src/category_theory/endomorphism.lean | 7782722f2bbf549a8f6d339aef9cf63a65fc2b27 | [
"Apache-2.0"
] | permissive | eric-wieser/mathlib | 42842584f584359bbe1fc8b88b3ff937c8acd72d | d0df6b81cd0920ad569158c06a3fd5abb9e63301 | refs/heads/master | 1,669,546,404,255 | 1,595,254,668,000 | 1,595,254,668,000 | 281,173,504 | 0 | 0 | Apache-2.0 | 1,595,263,582,000 | 1,595,263,581,000 | null | UTF-8 | Lean | false | false | 2,776 | lean | /-
Copyright (c) 2019 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov, Scott Morrison, Simon Hudon
Definition and basic properties of endomorphisms and automorphisms of an object in a category.
-/
import category_theory.category
import ... |
8dc45d13ae02fac20e5bd841948d9e58565167d4 | 4d3f29a7b2eff44af8fd0d3176232e039acb9ee3 | /Mathlib/Mathlib/Algebra/Order.lean | 2ca0354e16c91d9ec964ec1c92871e237e929b3a | [] | 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 | 10,274 | lean | /-
Ported by Deniz Aydin from the lean3 prelude:
https://github.com/leanprover-community/lean/blob/master/library/init/algebra/order.lean
Original file's license:
Copyright (c) 2016 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo d... |
5bfaba7ea251a8ad3e9a3524c8d503b0cd55a97a | b2fe74b11b57d362c13326bc5651244f111fa6f4 | /src/algebra/field.lean | fc1cc73d2cb841c8dcb9f29dee34341733ce34dd | [
"Apache-2.0"
] | permissive | midfield/mathlib | c4db5fa898b5ac8f2f80ae0d00c95eb6f745f4c7 | 775edc615ecec631d65b6180dbcc7bc26c3abc26 | refs/heads/master | 1,675,330,551,921 | 1,608,304,514,000 | 1,608,304,514,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 9,495 | lean | /-
Copyright (c) 2014 Robert Lewis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Robert Lewis, Leonardo de Moura, Johannes Hölzl, Mario Carneiro
-/
import algebra.ring.basic
import algebra.group_with_zero
open set
set_option old_structure_cmd true
universe u
variab... |
a71c047a9ba13654b94a18dd4a00f32e9dc8d74b | ea916b7f42baf59c02ca82e274a87b3e45397968 | /src/super/utils.lean | b9a23b6651f9725ae1d6fcc7be8311640092ea28 | [] | no_license | robertylewis/super2 | 2926383b166e43ebd815b81ae8fba976393a160c | 8ba522fd609d25752cd3d9b478bc48b6453e3c1e | refs/heads/master | 1,670,062,676,962 | 1,597,795,530,000 | 1,597,795,530,000 | 289,744,671 | 0 | 0 | null | 1,598,207,476,000 | 1,598,207,476,000 | null | UTF-8 | Lean | false | false | 8,510 | lean | import tactic.core
attribute [inline] or.decidable decidable.to_bool bool.decidable_eq and.decidable
nat.decidable_eq ne.decidable decidable.false implies.decidable option.get_or_else
option.map
meta def format.form (as : list format) : format :=
(format.join (as.intersperse format.line)).paren.group
open native... |
d05769b83305c8242db9e6fd460e82368d9bee04 | f22a91842f18b5e855075b9becd55d2233756c6a | /src/ch04_04.lean | 448d077bd48f2a4ea12d23416bccdf9e950ca678 | [] | no_license | kckennylau/tao-analysis-one | 48cef1ee896d6703fcaf47ce5548e44f88901a0e | 2bd2d14c3c722bb36526c5a4e6b87618b2c081b1 | refs/heads/master | 1,621,002,517,963 | 1,514,151,057,000 | 1,514,151,057,000 | 115,971,702 | 0 | 0 | null | 1,514,864,495,000 | 1,514,864,495,000 | null | UTF-8 | Lean | false | false | 3,555 | lean | --------------------------------------------------------------------------------
-- Chapter 4 - Integers and rationals
-- Section 4 - Gaps in the rational numbers
-- Analysis 1, Third Edition, Tao
-------------------------------------------------------------------... |
774be3858d7dbf38346e85b2e2a25e94aae31498 | 46ee5dc7248ccc9ee615639c0c003c05f58975cd | /src/setsimp.lean | a51d47b65bda1632df0446e747f272138f6e32a5 | [
"Apache-2.0"
] | permissive | m4lvin/tablean | e61d593b4dde6512245192c577edeb36c48f63c0 | 836202612fc2bfacb5545696412e7d27f7704141 | refs/heads/main | 1,685,613,112,076 | 1,676,755,678,000 | 1,676,755,678,000 | 454,064,275 | 8 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 1,794 | lean | -- SETSIMP
import syntax
@[simp]
lemma union_singleton_is_insert {X : finset formula} {ϕ: formula} :
X ∪ {ϕ} = insert ϕ X :=
begin
have fo := finset.insert_eq ϕ X,
finish,
end
@[simp]
lemma sdiff_singleton_is_erase {X : finset formula} {ϕ: formula} :
X \ {ϕ} = X.erase ϕ :=
begin
apply finset.induction_on X... |
d2f2dd219aa4406c83b8607461d4f5cd6b71ea02 | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/order/filter/ultrafilter.lean | bb55e669c07573e5c3c8187914266555192b6cfe | [
"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 | 14,373 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Jeremy Avigad
-/
import order.filter.cofinite
/-!
# Ultrafilters
An ultrafilter is a minimal (maximal in the set order) proper filter.
In this file we define
* `is_u... |
d1fe85db751049b92f6395883a30dfcc03e48752 | ad0c7d243dc1bd563419e2767ed42fb323d7beea | /data/finsupp.lean | a6315deabdae66bda59efb08abee259af085688b | [
"Apache-2.0"
] | permissive | sebzim4500/mathlib | e0b5a63b1655f910dee30badf09bd7e191d3cf30 | 6997cafbd3a7325af5cb318561768c316ceb7757 | refs/heads/master | 1,585,549,958,618 | 1,538,221,723,000 | 1,538,221,723,000 | 150,869,076 | 0 | 0 | Apache-2.0 | 1,538,229,323,000 | 1,538,229,323,000 | null | UTF-8 | Lean | false | false | 34,313 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
Type of functions with finite support.
Functions with finite support provide the basis for the following concrete instances:
* ℕ →₀ α: Polynomials (where α is a ring... |
8929b5e4396621256f468e622a38b934f38a16c2 | 46125763b4dbf50619e8846a1371029346f4c3db | /src/topology/metric_space/gromov_hausdorff_realized.lean | 22a38f7f74ea241bdabf383d9484a7a74cb1166f | [
"Apache-2.0"
] | permissive | thjread/mathlib | a9d97612cedc2c3101060737233df15abcdb9eb1 | 7cffe2520a5518bba19227a107078d83fa725ddc | refs/heads/master | 1,615,637,696,376 | 1,583,953,063,000 | 1,583,953,063,000 | 246,680,271 | 0 | 0 | Apache-2.0 | 1,583,960,875,000 | 1,583,960,875,000 | null | UTF-8 | Lean | false | false | 26,997 | lean | /-
Copyright (c) 2019 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Sébastien Gouëzel
Construction of a good coupling between nonempty compact metric spaces, minimizing
their Hausdorff distance. This construction is instrumental to study the Gromov-... |
9b6c09069ddf3a24a0914ef2921db244bf14f6d2 | a2ee6a66690e8da666951cac0c243d42db11f9f3 | /src/linear_algebra/finsupp.lean | a5b8ae3b82f8ce8a7cd295dd9c8056dd7c6d408e | [
"Apache-2.0"
] | permissive | shyamalschandra/mathlib | 6d414d7c334bf383e764336843f065bd14c44273 | ca679acad147870b2c5087d90fe3550f107dea49 | refs/heads/master | 1,671,730,354,335 | 1,601,883,576,000 | 1,601,883,576,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 20,114 | lean | /-
Copyright (c) 2019 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Johannes Hölzl
Linear structures on function with finite support `α →₀ M`.
-/
import algebra.monoid_algebra
noncomputable theory
open set linear_map submodule
open_locale classical ... |
aeef6f487e66ccc966f66d86c41136aad196af8d | 6cc23d886ccf271bfd0c9ca5d29cafb9c0be7bf5 | /src/LeanPlay/Help.lean | 51949f99744f654c1777b451c46250d2bc681814 | [] | no_license | Anderssorby/LeanPlay | d39b15dbc3441c2be5a4ea5adf8fe70c4648737b | 8fd63d98d02490060323f4c5117b9a7e8da50813 | refs/heads/main | 1,692,004,930,931 | 1,633,974,729,000 | 1,633,974,729,000 | 368,654,414 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 521 | lean |
namespace LeanPlay
def usage := "
USAGE:
lean-play [OPTIONS] <COMMAND>
OPTIONS:
--version print version and exit
--help, -h print help of the program or a command and exit
--dir, -d=file use the package configuration in a specific directory
--file, -f=file use a specifi... |
6a9b90a2ba7952701bb2332fbd65d48b78d69357 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/linear_algebra/annihilating_polynomial.lean | 8a868acb78e221cd358a0dd7d8e4a8a48c1120d5 | [
"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 | 6,626 | lean | /-
Copyright (c) 2022 Justin Thomas. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Justin Thomas
-/
import field_theory.minpoly
import ring_theory.principal_ideal_domain
/-!
# Annihilating Ideal
Given a commutative ring `R` and an `R`-algebra `A`
Every element `a : ... |
4f37290bf5a773c1130302d2b6f6d42b2349ffce | 82b86ba2ae0d5aed0f01f49c46db5afec0eb2bd7 | /src/Lean/Util/Trace.lean | 4e0c4c6543bb20b13b3f9868f27d43f18f6a2ba3 | [
"Apache-2.0"
] | permissive | banksonian/lean4 | 3a2e6b0f1eb63aa56ff95b8d07b2f851072d54dc | 78da6b3aa2840693eea354a41e89fc5b212a5011 | refs/heads/master | 1,673,703,624,165 | 1,605,123,551,000 | 1,605,123,551,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 5,611 | lean | /-
Copyright (c) 2018 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sebastian Ullrich, Leonardo de Moura
-/
import Lean.Message
import Lean.MonadEnv
universe u
namespace Lean
open Std (PersistentArray)
structure TraceElem :=
(ref : Syntax)
... |
8c428d8d412e8e2bd8ad4f485680a8a8c6cfb49f | cbb817439c51008d66b37ce6b1964fea61434d35 | /theorem-proving-in-lean/src/chap_8.lean | e91d5f46002b24f70cce20a732d3d4350c230224 | [] | no_license | tomhoule/theorem-proving-in-lean-exercises | a07f99d4f6b41ce003e8a0274c7bc46359fa62b2 | 60ccc71b8a6df6924e7cc90aab713b804f78da9f | refs/heads/master | 1,663,582,321,828 | 1,590,352,467,000 | 1,590,352,476,000 | 257,107,936 | 3 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 33,307 | lean | namespace chap8ex1
open function
#print surjective
universes u v w
variables {α : Type u} {β : Type v} {γ : Type w}
open function
lemma composition_check {g : β → γ} {f : α → β} : α → γ := g ∘ f
lemma surjective_comp {g : β → γ} {f : α → β} (hg : surjective g) (hf : surjective f) :
... |
7c68ccf2c29b37c39c40479f1f8d82b27c5132af | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/playground/mapVShmap.lean | ef663940ca7c39e3f7258a9dc9976def8f268a6f | [
"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 | 1,088 | lean | def mkBigPairs : Nat → Array (Nat × Nat) → Array (Nat × Nat)
| 0 ps := ps
| (n+1) ps := mkBigPairs n (ps.push (n, n))
set_option pp.implicit true
set_option pp.binderTypes false
-- set_option trace.compiler.specialize true
-- set_option trace.compiler.boxed true
def f1 (ps : Array (Nat × Nat)) : Array (Nat × Nat)... |
2d2815ecd2ddb6463f19c0a08a91d980285e02d7 | efce24474b28579aba3272fdb77177dc2b11d7aa | /src/for_mathlib/tidy.lean | 98611ba3eb6713e22d1e358a14f6042525b18cf2 | [
"Apache-2.0"
] | permissive | rwbarton/lean-homotopy-theory | cff499f24268d60e1c546e7c86c33f58c62888ed | 39e1b4ea1ed1b0eca2f68bc64162dde6a6396dee | refs/heads/lean-3.4.2 | 1,622,711,883,224 | 1,598,550,958,000 | 1,598,550,958,000 | 136,023,667 | 12 | 6 | Apache-2.0 | 1,573,187,573,000 | 1,528,116,262,000 | Lean | UTF-8 | Lean | false | false | 219 | lean | -- Copyright (c) 2017 Scott Morrison. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Authors: Mario Carneiro, Scott Morrison
import tactic.ext
attribute [ext] subtype.eq
|
65db52b6822c6ed4110113c9ab39567ec139b2b5 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/number_theory/zsqrtd/gaussian_int.lean | 02bd567c03491c8aa7e55ac16426a85c4a662aab | [
"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 | 12,564 | lean | /-
Copyright (c) 2019 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes
-/
import number_theory.zsqrtd.basic
import data.complex.basic
import ring_theory.principal_ideal_domain
import number_theory.legendre_symbol.quadratic_reciprocity
/-!
# Gau... |
ea6eaf02d6f1a2c5516744bc927b39832255fffa | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /tests/lean/run/eq20.lean | 0649779abafc81d33657ac54f7a2aae33aa931b2 | [
"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 | 869 | lean | open nat list
section
parameter {A : Type}
parameter (p : A → Prop)
parameter [H : decidable_pred p]
include H
definition filter : list A → list A
| nil := nil
| (a :: l) := if p a then a :: filter l else filter l
theorem filter_nil : filter nil = nil :=
rfl
theorem filter_cons (a : A) (l :... |
c14b50eaf58b45159341f5231750a2f5a23e5f91 | bb31430994044506fa42fd667e2d556327e18dfe | /src/geometry/manifold/cont_mdiff.lean | e96446cc2f90e3fcf6a9b372255611f79b11e50a | [
"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 | 71,516 | lean | /-
Copyright (c) 2020 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel, Floris van Doorn
-/
import geometry.manifold.smooth_manifold_with_corners
import geometry.manifold.local_invariant_properties
/-!
# Smooth functions between smoo... |
1ece368e93a6176f24c85e9a0b795c7ab34b87b4 | e00ea76a720126cf9f6d732ad6216b5b824d20a7 | /src/topology/bounded_continuous_function.lean | 2b53ad7bcdba1e34c94ca29ac18ea08c1e39856b | [
"Apache-2.0"
] | permissive | vaibhavkarve/mathlib | a574aaf68c0a431a47fa82ce0637f0f769826bfe | 17f8340912468f49bdc30acdb9a9fa02eeb0473a | refs/heads/master | 1,621,263,802,637 | 1,585,399,588,000 | 1,585,399,588,000 | 250,833,447 | 0 | 0 | Apache-2.0 | 1,585,410,341,000 | 1,585,410,341,000 | null | UTF-8 | Lean | false | false | 25,825 | lean | /-
Copyright (c) 2018 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel, Mario Carneiro
Type of bounded continuous functions taking values in a metric space, with
the uniform distance.
-/
import analysis.normed_space.basic topology.... |
494da9307a75560a48654f28f703ff9a11309846 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/data/set/intervals/ord_connected.lean | a18dcbd8d37ea04e16076d655509b6d25733779d | [
"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 | 7,910 | lean | /-
Copyright (c) 2020 Yury G. Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury G. Kudryashov
-/
import data.set.intervals.unordered_interval
import data.set.lattice
/-!
# Order-connected sets
We say that a set `s : set α` is `ord_connected` if for all ... |
4cde79c7da85f3ac40179ecec16b76091e34ca7a | 097294e9b80f0d9893ac160b9c7219aa135b51b9 | /instructor/predicate_logic/introduction.lean | dfd8a63c692b04059ed34fb29df508e95089993a | [] | no_license | AbigailCastro17/CS2102-Discrete-Math | cf296251be9418ce90206f5e66bde9163e21abf9 | d741e4d2d6a9b2e0c8380e51706218b8f608cee4 | refs/heads/main | 1,682,891,087,358 | 1,621,401,341,000 | 1,621,401,341,000 | 368,749,959 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 6,496 | lean | /-
Predicate logic:
(1) Vastly extends concept of domain: can be pretty much anything
- domain no longer just boolean, but can involve objects of any type
- e.g., natural numbers, persons, programs, program states, locations
- variables can now range over objects of any type (e.g., n : ℕ)
- can also refer to *relatio... |
de95c16608db3dafee671b56f7e49689007f74d5 | 4950bf76e5ae40ba9f8491647d0b6f228ddce173 | /src/algebra/algebra/basic.lean | 8aeba69e2cdc4b3c2a3e754724d0368a8e0bc3ec | [
"Apache-2.0"
] | permissive | ntzwq/mathlib | ca50b21079b0a7c6781c34b62199a396dd00cee2 | 36eec1a98f22df82eaccd354a758ef8576af2a7f | refs/heads/master | 1,675,193,391,478 | 1,607,822,996,000 | 1,607,822,996,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 47,431 | lean | /-
Copyright (c) 2018 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau, Yury Kudryashov
-/
import tactic.nth_rewrite
import data.matrix.basic
import data.equiv.ring_aut
import linear_algebra.tensor_product
import ring_theory.subring
import deprecated... |
c68d783a5507b2d3d0c019d6eca4745e38ecf8bd | c5b07d17b3c9fb19e4b302465d237fd1d988c14f | /src/isos/geom.lean | 0ffc87067ed31502695e1817b8000555ad1b26e9 | [
"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 | 524 | lean | import data.fseq
import functors.generating
-- Geometric power series
-- geom(x) = Σ n:ℕ, xⁿ
def geom (A) := Σ n, fseq n A
namespace geom
-- geom(x) = 1 + x geom(x)
def lin_iso {A} : geom A ≃ 1 ⊕ A × (geom A) :=
ax₁ ⋆ iso.add fseq.one_iso (iso.sigma_subst (λ n, fseq.cons_iso⁻¹) ⋆ ax₂)
-- geom(x) = Σ n:ℕ, xⁿ
def ogf_... |
a2189a420fa3d60bb6d982039d468b2ac70d8625 | 206422fb9edabf63def0ed2aa3f489150fb09ccb | /src/field_theory/primitive_element.lean | 21368518409ba64d101935f50ddc2a261065843b | [
"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 | 7,794 | lean | /-
Copyright (c) 2020 Thomas Browning and Patrick Lutz. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Thomas Browning and Patrick Lutz
-/
import field_theory.adjoin
import field_theory.separable
/-!
# Primitive Element Theorem
In this file we prove the primitive el... |
b0805c38e64d0a947f0f210671d582bdad3f45dd | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/analysis/normed/ring/seminorm.lean | 37ffa61e48c85fe8f1f48cf18ad2ba81ad8f16ca | [
"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 | 11,615 | lean | /-
Copyright (c) 2022 María Inés de Frutos-Fernández. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: María Inés de Frutos-Fernández, Yaël Dillies
-/
import analysis.normed.field.basic
/-!
# Seminorms and norms on rings
This file defines seminorms and norms on rings. ... |
68630cf0c36ded68cb53368af616bf4e1bf6648c | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/unify_approx_bug.lean | 5d156ef15c8512e5d52aa7cf4680af7db5d89c42 | [
"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 | 7,294 | lean | open tactic
/-
Given a metavariable ?m with local context
(α : Type) (a : α)
then, the following unification problem should fail
?m α =?= ((λ (α : Type) (a : α), α) α a)
type_context will try the type incorrect assignment
?m := λ α', ((λ (α : Type) (a : α), α) α' a)
-/
def ex1 (α : Type) (a : α) : T... |
17a432c92e8ab116d528e7bdf802f13ad7aaf46d | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/var.lean | e8109d8c4c01ad621fd43a1d9e736d64204d47f9 | [
"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 | 115 | lean | import logic
section
variable A : Type
parameter a : A
end
section
variable A : Type
variable a : A
end
|
115de8ff310bd1aa8b818c34e3dd10bdf8c51721 | 94e33a31faa76775069b071adea97e86e218a8ee | /src/algebra/associated.lean | 6e0df0f4ff04c4d4012b258f6b7025bd2026524c | [
"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 | 37,518 | lean | /-
Copyright (c) 2018 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Jens Wagemaker
-/
import algebra.divisibility
import algebra.group_power.lemmas
import algebra.invertible
import order.atoms
/-!
# Associated, prime, and irreducible e... |
7d47026d331ca16fa96c21487282641a6a1b4b1c | 94e33a31faa76775069b071adea97e86e218a8ee | /src/data/list/forall2.lean | 0c497bbd6af32d23b26ce8a9348094d4e6f7f864 | [
"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 | 13,318 | 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
-/
import data.list.infix
/-!
# Double universal quantification on a list
This file provides an API for `list.forall₂` (definition in `data.list.defs`)... |
d136d47bf8ad0f7d50111ba82db082594dde0481 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/testing/slim_check/gen.lean | 46af42ddd3b5b255aab1c0e8a7337dccb429e473 | [
"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 | 5,692 | lean | /-
Copyright (c) 2020 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon
-/
import control.uliftable
import system.random
import system.random.basic
/-!
# `gen` Monad
This monad is used to formulate randomized computations with a parameter
to sp... |
11412fd9bd54092a56f6f25b4fe80a49b4176021 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/run/tele_eq.lean | 4c0f9886d3522ef87128af7c6903c119355fed69 | [
"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 | 555 | lean | constant A₁ : Type
constant A₂ : A₁ → Type
constant A₃ : Π (a₁ : A₁), A₂ a₁ → Type
structure foo :=
mk :: (a₁ : A₁) (a₂ : A₂ a₁) (a₃ : A₃ a₁ a₂)
theorem foo.eq {a₁ b₁ : A₁} {a₂ : A₂ a₁} {b₂ : A₂ b₁} {a₃ : A₃ a₁ a₂} {b₃ : A₃ b₁ b₂}
(H₁ : a₁ = b₁) (H₂ : a₂ == b₂) (H₃ : a₃ == b₃)
: foo.mk a... |
403887966813a065600753638132f017c51492e6 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/meta_tac7.lean | a39b86eeb7acf39fe6d93fabd50e5baba977cad0 | [
"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 | 197 | lean | open nat tactic
example (a b c : Prop) (Ha : a) (Hb : b) (Hc : c) : b :=
by do trace_state, assumption
definition ex1 (a b c : Prop) : a → b → c → b :=
by do intros, assumption
#print ex1
|
a1c0e21fd01d4afbf3bc3f511900b6ad3f336279 | bb31430994044506fa42fd667e2d556327e18dfe | /src/measure_theory/integral/lebesgue.lean | fa276733d378ffc613bb42eab82fa70dd5125d64 | [
"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 | 147,567 | 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
-/
import measure_theory.measure.mutually_singular
import measure_theory.constructions.borel_space
import algebra.indicator_function
import algebra.suppo... |
801afe6a352ae40d4f3aa666cc4f69bcfb5587a0 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/sarray.lean | e835a729ea500fd0456d415125f4e247770bd73e | [
"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 | 921 | lean | def mkByteArray (n : Nat) : ByteArray := Id.run <| do
let mut r := {}
for i in [:n] do
r := r.push (UInt8.ofNat i)
return r
def tst1 (n : Nat) (expected : UInt32) : IO Unit := do
let bs := mkByteArray n
let sum := bs.foldl (init := 0) fun s b => s + b.toUInt32
assert! sum == expected
IO.println sum
... |
1512d43082014cfc2bcdae3b08322cc8c8fcdef7 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/whnf.lean | f8f27ad3c15e1e4085cb9041705c5cc165bff2e0 | [
"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
#reduce [whnf] (fun x, x + 1) (2:nat)
#reduce (fun x, x + 1) (2:nat)
variable a : nat
#reduce [whnf] a + succ nat.zero
#reduce a + succ nat.zero
|
17d86074d92296521735ba083439083ff97bc7f9 | 2eab05920d6eeb06665e1a6df77b3157354316ad | /src/data/fin/interval.lean | 84bfd9df0524e0b7e108d61dd38fd13b1544c32a | [
"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 | 2,501 | lean | /-
Copyright (c) 2021 Yaël Dillies. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yaël Dillies
-/
import data.nat.interval
/-!
# Finite intervals in `fin n`
This file proves that `fin n` is a `locally_finite_order` and calculates the cardinality of its
intervals as ... |
f4442d254230f3ffd33347e3402427b04c74d21c | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/data/rat/order.lean | af2629c3dc4048d44d810ded6c18e13c1c31208c | [
"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 | 8,604 | lean | /-
Copyright (c) 2019 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro
-/
import data.rat.basic
/-!
# Order for Rational Numbers
## Summary
We define the order on `ℚ`, prove that `ℚ` is a discrete, linearly ordered field,... |
22421c8d95d2d717cf7bf24c52207c3d2a3678e9 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/dynamics/circle/rotation_number/translation_number.lean | b89b6597a108f1662d48f1f49c3119d6d6d0ba0c | [
"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 | 39,625 | lean | /-
Copyright (c) 2020 Yury G. Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: 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 tha... |
c5fbc9e269324bb6bc52946d28151845d34b6128 | 5df84495ec6c281df6d26411cc20aac5c941e745 | /src/formal_ml/radon_nikodym.lean | f110c14622210f1b9c26c239a7b7cfa4e7965f40 | [
"Apache-2.0"
] | permissive | eric-wieser/formal-ml | e278df5a8df78aa3947bc8376650419e1b2b0a14 | 630011d19fdd9539c8d6493a69fe70af5d193590 | refs/heads/master | 1,681,491,589,256 | 1,612,642,743,000 | 1,612,642,743,000 | 360,114,136 | 0 | 0 | Apache-2.0 | 1,618,998,189,000 | 1,618,998,188,000 | null | UTF-8 | Lean | false | false | 54,689 | lean | /-
Copyright 2020 Google LLC
Licensed under the Apache License, Version 2.0 (the "License");
you may not use this file except in compliance with the License.
You may obtain a copy of the License at
http://www.apache.org/licenses/LICENSE-2.0
Unless required by applicable law or agreed to in writing, software
di... |
0d7e0aa97d08955f7ecfc3227108dc7a3f1a4b06 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/data/nat/bits.lean | 662a5a507bef0001f3be142441c6ac8402ec443f | [
"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 | 6,342 | lean | /-
Copyright (c) 2022 Praneeth Kolichala. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Praneeth Kolichala
-/
import data.nat.basic
/-!
# Additional properties of binary recursion on `nat`
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file require... |
f4d1733ce8284e818a0c364155d0a5ddd995d0c8 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/Lean/Elab/PreDefinition/MkInhabitant.lean | 1ed531927f18de512a80be434270dc1b6c7e7469 | [
"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 | 1,874 | 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.AppBuilder
namespace Lean.Elab
open Meta
private def mkInhabitant? (type : Expr) (useOfNonempty : Bool) : MetaM (Option Expr) := do
try
... |
5e2539a64584eef10cae66ded70252935752c8b0 | 94e33a31faa76775069b071adea97e86e218a8ee | /src/data/polynomial/coeff.lean | f787cc51eb32e58fbd626a0f1238d2b92dcbded1 | [
"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 | 11,219 | 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.basic
import data.finset.nat_antidiagonal
import data.nat.choose.sum
/-!
# Theory of univariate p... |
4830d90e3cdc4edf32687afb50e6254930d232df | 6094e25ea0b7699e642463b48e51b2ead6ddc23f | /library/theories/group_theory/hom.lean | 4c5a9194713714d0cbe53c9ee254b11a188eb1cc | [
"Apache-2.0"
] | permissive | gbaz/lean | a7835c4e3006fbbb079e8f8ffe18aacc45adebfb | a501c308be3acaa50a2c0610ce2e0d71becf8032 | refs/heads/master | 1,611,198,791,433 | 1,451,339,111,000 | 1,451,339,111,000 | 48,713,797 | 0 | 0 | null | 1,451,338,939,000 | 1,451,338,939,000 | null | UTF-8 | Lean | false | false | 7,084 | lean | /-
Copyright (c) 2015 Haitao Zhang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author : Haitao Zhang
-/
import algebra.group data.set .subgroup
namespace group_theory
-- ⁻¹ in eq.ops conflicts with group ⁻¹
-- open eq.ops
notation H1 ▸ H2 := eq.subst H1 H2
open set
open ... |
816a851bdfe1cdd9e1ca92fe947cc77297b43079 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/category_theory/monoidal/coherence.lean | 27b7e7bc6b669ea94490158e261e42c4a5488a5d | [
"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 | 14,273 | lean | /-
Copyright (c) 2022. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison, Yuma Mizuno, Oleksandr Manzyuk
-/
import category_theory.monoidal.free.coherence
import category_theory.bicategory.coherence_tactic
/-!
# A `coherence` tactic for monoidal categories... |
4f1e85b559e27a30475c0505ade79197b0200c32 | 5d166a16ae129621cb54ca9dde86c275d7d2b483 | /library/init/data/to_string.lean | ce41bb44842d28a71ef4290d626a1f2366f467f6 | [
"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 | 3,608 | lean | /-
Copyright (c) 2016 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.string.basic init.data.bool.basic init.data.subtype.basic
import init.data.unsigned.basic init.data.prod init.data.sum.basic init.da... |
f27aa17ba82e2c8e92e216df2741bc4a6b31da2a | 49d1ff3d0fc0688d81e4b505d423e6215881caa6 | /src/quantum_lemmas.lean | b174048dcf80dc2f7b4d6034740badddfd347834 | [] | no_license | jvlmdr/lean-quantum | 813e9453eade9f4ce64c8b473f9f75571df549c4 | 160cabcbd22bf24819b72930f56578e23b109a27 | refs/heads/master | 1,680,342,797,940 | 1,615,047,803,000 | 1,615,049,187,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 48,329 | lean | import quantum
import matrix_lemmas
open_locale big_operators
open matrix
open Matrix
open quantum
------------------------------------------------------------------------------
section measurement
variables {n : ℕ} {s : Vector n}
lemma measure_eq_mul_conj {m : fin n}
: (measure s m : ℂ) = ((s m 0)†) * (s m... |
ea0629b6ed1fe046d0a5e9d45ec35b3053f18dfd | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/algebra/homology/homotopy.lean | 0c28c5eb5b6ae057937ce98da9daffd97de274bb | [
"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 | 30,821 | 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.additive
import tactic.abel
/-!
# Chain homotopies
We define chain homotopies, and prove that homotopic chain maps induce the same map on ho... |
1583a89aa150b9a917e4bb4171b1493c37625f8b | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/Init/Data/Channel.lean | e109c3e40fc72c5bc5e18aba0374c21fe94b313f | [
"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 | 4,100 | lean | /-
Copyright (c) 2022 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gabriel Ebner
-/
prelude
import Init.Data.Queue
import Init.System.Promise
import Init.System.Mutex
namespace IO
/--
Internal state of an `Channel`.
We maintain the invariant... |
fc42432481703c4a6765a81f8cbe3b8f6dcc361e | a0e23cfdd129a671bf3154ee1a8a3a72bf4c7940 | /tests/lean/run/394.lean | 1d0e284aca281ed2bc539205af98ebde0bdcb1b4 | [
"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 | 314 | lean | def casesTFOn {motive : Prop → Sort _} (P) [inst : Decidable P] : (T : motive True) → (F : motive False) → motive P :=
λ ht hf => match inst with
| isTrue H => eqTrue H ▸ ht
| isFalse H => eqFalse H ▸ hf
example (P) [Decidable P] : ¬¬P → P := by
induction P using casesTFOn
admit
admit
|
fff541cfc7d3ece9b8c53960dcc6af4e72f95356 | 367134ba5a65885e863bdc4507601606690974c1 | /src/ring_theory/algebra_tower.lean | d7d0074893fdbb3abe7cf9251406a2b704bab5a8 | [
"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 | 12,609 | 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 algebra.algebra.tower
import algebra.invertible
import linear_algebra.basis
import ring_theory.adjoin.basic
import ring_theory.polynomial.tower
/-!
# Towers of algebra... |
aa5cf25f23de0574eda5c97f10bd27a1ffbe804a | ba4ad8a778c69640c9cca8e5dcaeb40d4a10fa10 | /lean4/Bin/lakefile.lean | 799300eaa440074df85ced84d121c31202f52e39 | [] | no_license | tangentstorm/tangentlabs | 390ac60618bd913b567d20933dab70b84aac7151 | 137adbba6e7c35f8bb54b0786ada6c8c2ff6bc72 | refs/heads/master | 1,693,514,213,127 | 1,692,322,210,000 | 1,692,322,210,000 | 7,815,356 | 33 | 22 | null | 1,433,592,935,000 | 1,359,097,381,000 | Visual Basic | UTF-8 | Lean | false | false | 164 | lean | import Lake
open Lake DSL
require mathlib from git
"https://github.com/leanprover-community/mathlib4.git"@"master"
package Bin {
}
lean_exe Main
|
d38d4a1a5a6fa757376d35d81adc9cbb2f007c26 | 0c1546a496eccfb56620165cad015f88d56190c5 | /library/init/meta/decl_cmds.lean | 5bc92825f2f21830f000578e5fcfc941354d3bd3 | [
"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 | 2,088 | 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.meta.rb_map
open tactic
private meta def apply_replacement (replacements : name_map name) (e : expr) : expr :=
e^.repl... |
fda8642601a42f83b41be989055dc36bcd192b0b | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/algebra/module/submodule_lattice.lean | 7dafdd9f0137516ea6aaecbf26ef0e0fa5f1ed09 | [
"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 | 11,255 | 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, Kevin Buzzard, Yury Kudryashov
-/
import algebra.module.submodule
import algebra.punit_instances
/-!
# The lattice structure on `submodule`s
This file... |
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