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3b42f40971263cfab624583a661516f98b16de56 | efa51dd2edbbbbd6c34bd0ce436415eb405832e7 | /20161026_ICTAC_Tutorial/ex2.lean | 32c67758eac47d7b92dedeea6081f0473f9c1692 | [
"Apache-2.0"
] | permissive | leanprover/presentations | dd031a05bcb12c8855676c77e52ed84246bd889a | 3ce2d132d299409f1de269fa8e95afa1333d644e | refs/heads/master | 1,688,703,388,796 | 1,686,838,383,000 | 1,687,465,742,000 | 29,750,158 | 12 | 9 | Apache-2.0 | 1,540,211,670,000 | 1,422,042,683,000 | Lean | UTF-8 | Lean | false | false | 862 | lean | constants m n : nat
constant f : nat → nat -- type the arrow as "\to" or "\r"
constant f' : nat -> nat -- alternative ASCII notation
constant f'' : ℕ → ℕ -- \nat is alternative notation for nat
constant p : nat × nat -- type the product as "\times"
constant q : prod nat nat ... |
f7a8a8d1e9d3abf2635a6c3aacb9d2632b8fc63b | bbecf0f1968d1fba4124103e4f6b55251d08e9c4 | /src/topology/bases.lean | 875a59ecfff372170de9a1e78cbe8d3cb9425fb1 | [
"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 | 28,515 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro
-/
import topology.continuous_on
import topology.constructions
/-!
# Bases of topologies. Countability axioms.
A topological basis on a topological sp... |
b266766f963734a5be24325aa389b386388cbc87 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/elab4b.lean | 86135581c171352f279af2c6be277e173d130e17 | [
"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 | 233 | lean | definition foo.f {A : Type*} {B : Type*} (a : A) (b : B) : A := a
definition boo.f (a : nat) (b : nat) (c : nat) := a + b + c
definition bla.f (a b c d : bool) := a
open boo foo bla
#check f 0 1 2 3
#check f 0 1
#check f tt ff
|
e1f765f5420ace822c3702441ad6d83e02c7161c | 5412d79aa1dc0b521605c38bef9f0d4557b5a29d | /stage0/src/Lean/Meta/Tactic/Simp/Main.lean | 7476bffccbc472f833be23de34a828a5d8bb681c | [
"Apache-2.0"
] | permissive | smunix/lean4 | a450ec0927dc1c74816a1bf2818bf8600c9fc9bf | 3407202436c141e3243eafbecb4b8720599b970a | refs/heads/master | 1,676,334,875,188 | 1,610,128,510,000 | 1,610,128,521,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 8,692 | 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.Tactic.Simp.Types
import Lean.Meta.Tactic.Simp.Rewrite
namespace Lean.Meta
namespace Simp
def Result.getProof (r : Result) : MetaM Expr :... |
7d9b594df04febf08285f0bb40704fa40b86a7d7 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/analysis/calculus/extend_deriv.lean | 73f30665aba7b39902d39c5b3f09715e4de47b4c | [
"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 | 11,614 | 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 analysis.calculus.mean_value
/-!
# Extending differentiability to the boundary
We investigate how differentiable functions inside a set extend to diffe... |
77b3bee812f93e5b5ec901fa974c0cd85db727ce | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/linear_algebra/charpoly/to_matrix.lean | 5a4dc9d1a2a3a1adf9a3def7f8c6ff89c611a89b | [
"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 | 3,308 | lean | /-
Copyright (c) 2021 Riccardo Brasca. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Riccardo Brasca
-/
import linear_algebra.charpoly.basic
import linear_algebra.matrix.basis
/-!
# Characteristic polynomial
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes... |
52ad96bee15c403b67409c68f03e85b52d36803e | f5a711bc61b4fe426425fc39edfb9aa84b06f644 | /library/init/meta/interactive.lean | 0bf97b5e12471b37752a1d3c7bc0105027813897 | [
"Apache-2.0"
] | permissive | ChrisHughes24/lean | 89697c262783aa4fc1e3cc9bd7adf16d049e2be0 | 8ba2c1a8b4b9edd11c96482356b47df8322b3785 | refs/heads/master | 1,610,100,259,751 | 1,582,175,143,000 | 1,582,175,143,000 | 241,995,683 | 0 | 0 | Apache-2.0 | 1,582,234,740,000 | 1,582,234,739,000 | null | UTF-8 | Lean | false | false | 70,943 | 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.rewrite_tactic init.meta.simp_tactic
import init.meta.smt.congruence_closure init.category.combinators
import init... |
1e4e015ae730464d00d60084c9d0008e446416c5 | 7cef822f3b952965621309e88eadf618da0c8ae9 | /src/field_theory/finite.lean | 8ca626c8326bc3faf3758e0ca20460129e0bee7d | [
"Apache-2.0"
] | permissive | rmitta/mathlib | 8d90aee30b4db2b013e01f62c33f297d7e64a43d | 883d974b608845bad30ae19e27e33c285200bf84 | refs/heads/master | 1,585,776,832,544 | 1,576,874,096,000 | 1,576,874,096,000 | 153,663,165 | 0 | 2 | Apache-2.0 | 1,544,806,490,000 | 1,539,884,365,000 | Lean | UTF-8 | Lean | false | false | 7,041 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes
-/
import group_theory.order_of_element data.polynomial data.equiv.algebra data.zmod.basic
import algebra.char_p
universes u v
variables {α : Type u} {β : Type v}
open fun... |
be972e14838a3c49dbacb6d6c352831d1f5dea45 | 01f6b345a06ece970e589d4bbc68ee8b9b2cf58a | /src/spectral_norm.lean | a9609282a3703facfdbfdea8bdd286f35a85e1bd | [] | no_license | mariainesdff/norm_extensions_journal_submission | 6077acb98a7200de4553e653d81d54fb5d2314c8 | d396130660935464fbc683f9aaf37fff8a890baa | refs/heads/master | 1,686,685,693,347 | 1,684,065,115,000 | 1,684,065,115,000 | 603,823,641 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 57,235 | lean | /-
Copyright (c) 2023 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
-/
import ring_theory.polynomial.vieta
import minpoly
import normal_closure
import alg_norm_of_galois
/-!
# The spectral norm and the no... |
06aaf297bde81c552525e355e50eceabf2d4bc38 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/control/functor/multivariate.lean | da4c8fa92515022e39c307a87368f9f175cf3413 | [
"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 | 6,686 | lean | /-
Copyright (c) 2018 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Mario Carneiro, Simon Hudon
-/
import data.fin.fin2
import data.typevec
import logic.function.basic
import tactic.basic
/-!
Functors between the category of tuples of t... |
399c84c21056b189a3aef74f3d92275d37539ed0 | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /src/Lean/Compiler/InitAttr.lean | 361401a2a57bf2c296e40c05e252900800b93fca | [
"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 | 6,014 | 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.Environment
import Lean.Attributes
import Lean.Elab.InfoTree.Main
namespace Lean
private def getIOTypeArg : Expr → Option Expr
| Expr.app (E... |
c204557613799803a257fccd0b90acccfadff6d2 | 9dd3f3912f7321eb58ee9aa8f21778ad6221f87c | /library/init/data/option/basic.lean | 933a3fe0054ff4a9e5d0cab285a99098e644071c | [
"Apache-2.0"
] | permissive | bre7k30/lean | de893411bcfa7b3c5572e61b9e1c52951b310aa4 | 5a924699d076dab1bd5af23a8f910b433e598d7a | refs/heads/master | 1,610,900,145,817 | 1,488,006,845,000 | 1,488,006,845,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,562 | 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
-/
prelude
import init.logic init.category
open decidable
universes u v
namespace option
def to_monad {m : Type → Type} [monad m] [alternative m] {A} : opti... |
6af101f4a0e8f9328d3804f237daeb3548ee7a98 | 432d948a4d3d242fdfb44b81c9e1b1baacd58617 | /src/field_theory/mv_polynomial.lean | 0b95550536022aa79ef4fe903c9c96f7d11036f0 | [
"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 | 1,517 | lean | /-
Copyright (c) 2019 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
-/
import ring_theory.mv_polynomial.basic
/-!
# Multivariate polynomials over fields
This file contains basic facts about multivariate polynomials over fields, for ex... |
f6e9286588b5ceece924cebe6f299fd0f0b2e248 | 618003631150032a5676f229d13a079ac875ff77 | /src/topology/stone_cech.lean | a2092a98a9e5169af95d910ad716073843e5d878 | [
"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 | 11,309 | lean | /-
Copyright (c) 2018 Reid Barton. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Reid Barton
-/
import topology.bases
import topology.dense_embedding
/-! # Stone-Čech compactification
Construction of the Stone-Čech compactification using ultrafilters.
Parts of the ... |
d55035662e4b8db9087e6a69f2813758ca09492b | 367134ba5a65885e863bdc4507601606690974c1 | /src/category_theory/sums/associator.lean | e6beda066040e16198827b69522ab536ddb0ebf0 | [
"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 | 3,436 | 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.sums.basic
/-#
The associator functor `((C ⊕ D) ⊕ E) ⥤ (C ⊕ (D ⊕ E))` and its inverse form an equivalence.
-/
universes v u
open category_th... |
fd0bd3a56cc2aa249a7abace497b4ac0de03ff59 | 9ad8d18fbe5f120c22b5e035bc240f711d2cbd7e | /src/group_theory/self_map.lean | c97bba77c2d74a28ba6b7652166c742efd912f70 | [] | no_license | agusakov/lean_lib | c0e9cc29fc7d2518004e224376adeb5e69b5cc1a | f88d162da2f990b87c4d34f5f46bbca2bbc5948e | refs/heads/master | 1,642,141,461,087 | 1,557,395,798,000 | 1,557,395,798,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,871 | lean | /-
Copyright (c) 2019 Neil Strickland. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Neil Strickland
We define the monoid of self-maps of a type, and show that
monoid homomorphisms `M → (self_map X)` give actions of `M` on `X`.
-/
import algebra.group group_theory.g... |
e762ddf75c74bdfc876a2494241560d090c89ef8 | dd0f5513e11c52db157d2fcc8456d9401a6cd9da | /02_Dependent_Type_Theory.org.6.lean | 480416c974a846b26db45915941d96061d61a52d | [] | 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 | 162 | lean | /- page 14 -/
import standard
import data.list
open list
constant A : Type
check list -- Type → Type
check list A -- Type
check list nat -- Type₁
|
628e8c1d3aa47dfb1bc6eff660cec69a7219131d | c31182a012eec69da0a1f6c05f42b0f0717d212d | /src/breen_deligne/suitable.lean | 915f820eabcb8b46a92eceb46c065aebfadb1461 | [] | no_license | Ja1941/lean-liquid | fbec3ffc7fc67df1b5ca95b7ee225685ab9ffbdc | 8e80ed0cbdf5145d6814e833a674eaf05a1495c1 | refs/heads/master | 1,689,437,983,362 | 1,628,362,719,000 | 1,628,362,719,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 25,576 | lean | import data.real.nnreal
import algebra.module.hom
import breen_deligne.category
import for_mathlib.free_abelian_group
import facts.nnreal
/-
# "suitability" of a universal map
If `f` is a universal map then a pair `(c₁, c₂)` of non-negative reals is
`f`-suitable, if (morally) `f` sends things of norm at most `c₁`... |
624f305eb660a2b3db87677dd985b08c8bf67643 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/data/fintype/fin.lean | 1a68e3bf35ae7271a9aafaeb56d6696198ecd66e | [
"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 | 3,100 | lean | /-
Copyright (c) 2021 Anne Baanen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Anne Baanen
-/
import data.fin.interval
/-!
# The structure of `fintype (fin n)`
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file require a corresponding PR to math... |
d58194be050a16ca7dd1507cb7e12afd81fca11d | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /tests/lean/run/wfEqnsIssue.lean | f101a29f2b60591958b96bd82dc68fd0327a1bf8 | [
"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 | 3,915 | lean | def HList (αs : List (Type u)) : Type u := αs.foldr Prod.{u, u} PUnit
@[matchPattern] def HList.nil : HList [] := ⟨⟩
@[matchPattern] def HList.cons (a : α) (as : HList αs): HList (α :: αs) := (a, as)
def HList.set : {αs : _} → HList αs → (i : Fin αs.length) → αs.get i → HList αs
| _ :: _, cons a as, ⟨0, h⟩... |
be3b6533b442972eb0c9ef6fbeb880994b8d692f | 46125763b4dbf50619e8846a1371029346f4c3db | /src/ring_theory/integral_closure.lean | c188b48c166ff32470f1a1df5a38c12f2fd945ab | [
"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 | 17,179 | lean | /-
Copyright (c) 2019 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau
Integral closure of a subring.
-/
import ring_theory.adjoin linear_algebra.finsupp
universes u v
open_locale classical
open polynomial submodule
section
variables (R : Type u... |
0af9018574180d5b4c0763955ca5f9b9e4ad6315 | 947fa6c38e48771ae886239b4edce6db6e18d0fb | /src/group_theory/finiteness.lean | e75ebff29576529060ed2f6b1196cfe4273aa385 | [
"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 | 12,388 | lean | /-
Copyright (c) 2021 Riccardo Brasca. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Riccardo Brasca
-/
import data.set.finite
import data.finset
import group_theory.quotient_group
import group_theory.submonoid.operations
import group_theory.subgroup.basic
/-!
# Fin... |
c7793e294ffc56486a70c90059e855496a0bb6c3 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/measure_theory/measure/vector_measure.lean | 720678d4bc1d527471918a018fb8a96965f7f437 | [
"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 | 50,091 | lean | /-
Copyright (c) 2021 Kexing Ying. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kexing Ying
-/
import measure_theory.measure.measure_space
import analysis.complex.basic
/-!
# Vector valued measures
This file defines vector valued measures, which are σ-additive fun... |
cdb7ac99c8b0c70783314f1889d2888f873b3c6e | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/bug_refl_lemma.lean | 1a70a515ea212a9994fbd016179deb9a2173290c | [
"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 | 112 | lean | def f := @id
@[simp] lemma foo {α : Type} [inhabited α] : f = @id α := rfl
example : f = @id ℕ := by simp
|
8a6bcfbbee35b96f3f29b31ad38d64ac6f5eaa2c | cf39355caa609c0f33405126beee2739aa3cb77e | /library/init/data/fin/default.lean | 582dedbc6883b82c96affddbb50d241507fee5a0 | [
"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 | 216 | lean | /-
Copyright (c) 2017 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.fin.basic init.data.fin.ops
|
859960237e79b63b536c1a760fe9b401283374e1 | 958488bc7f3c2044206e0358e56d7690b6ae696c | /lean/irrel.lean | de46b5994beaa6692b210ba87b8918945ad79dac | [] | no_license | possientis/Prog | a08eec1c1b121c2fd6c70a8ae89e2fbef952adb4 | d4b3debc37610a88e0dac3ac5914903604fd1d1f | refs/heads/master | 1,692,263,717,723 | 1,691,757,179,000 | 1,691,757,179,000 | 40,361,602 | 3 | 0 | null | 1,679,896,438,000 | 1,438,953,859,000 | Coq | UTF-8 | Lean | false | false | 72 | lean | lemma L1 : ∀ (A:Prop) (p q:A), p = q:=
begin
intros A p q, refl
end
|
82b79ac8fd22232e0f42a2c5372119113a65cac4 | 957a80ea22c5abb4f4670b250d55534d9db99108 | /tests/lean/run/let3.lean | ac3e977f106ec3afd72bc621b8505a03377c4d38 | [
"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 | 746 | lean |
definition p1 := (10, 20, 30)
definition v1 : nat :=
let (a, b, c) := p1 in
a + b + c
definition v2 : nat :=
let ⟨a, b, c⟩ := p1 in
a + b + c
example : v2 = 60 :=
rfl
/-
let with patterns is just syntax sugar for the match convoy pattern.
let (a, b, c) := p1 in
a + b + c
is encoded as
match p1 with
... |
72cb6be9fb260fdfea6e190a64de9152e1c0d7d0 | bb31430994044506fa42fd667e2d556327e18dfe | /src/measure_theory/group/measure.lean | b3d09a47c4246b872cdee110308aa49a56e96aed | [
"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 | 32,416 | 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 dynamics.ergodic.measure_preserving
import measure_theory.measure.regular
import measure_theory.group.measurable_equiv
import measure_theory.measure.open_p... |
c5b45051434cc1b63129ff82c16616392e6ec044 | 8d65764a9e5f0923a67fc435eb1a5a1d02fd80e3 | /src/linear_algebra/finite_dimensional.lean | 4d918b5e9c26303dd98f11113b176700a37af499 | [
"Apache-2.0"
] | permissive | troyjlee/mathlib | e18d4b8026e32062ab9e89bc3b003a5d1cfec3f5 | 45e7eb8447555247246e3fe91c87066506c14875 | refs/heads/master | 1,689,248,035,046 | 1,629,470,528,000 | 1,629,470,528,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 63,362 | 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 algebra.algebra.subalgebra
import field_theory.finiteness
import linear_algebra.dimension
import ring_theory.principal_ideal_domain
/-!
# Finite dimensional vecto... |
7317233020d7d4fc2fb09e100f241b5ce9bad902 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/logic/function/conjugate.lean | 8275b8fbb1fd2b741f1fcd791547df8fddced242 | [
"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 | 5,115 | 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 logic.function.basic
/-!
# Semiconjugate and commuting maps
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> https://github.com/leanprover-community/mathlib4/p... |
fc07da96376ccafbe517a75203f24f89271b4a59 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/category_theory/monoidal/center.lean | 3d109154edceee1527d5b550a84fd9fff73aeec0 | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 12,347 | 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.monoidal.braided
import category_theory.functor.reflects_isomorphisms
import category_theory.monoidal.coherence
/-!
# Half braidings and the D... |
c59d77e93da4978b8323aa289f8d0793099e5153 | 7cef822f3b952965621309e88eadf618da0c8ae9 | /src/topology/instances/complex.lean | 1b89ab51ff46bb4363d34c424e4993c8cc2800de | [
"Apache-2.0"
] | permissive | rmitta/mathlib | 8d90aee30b4db2b013e01f62c33f297d7e64a43d | 883d974b608845bad30ae19e27e33c285200bf84 | refs/heads/master | 1,585,776,832,544 | 1,576,874,096,000 | 1,576,874,096,000 | 153,663,165 | 0 | 2 | Apache-2.0 | 1,544,806,490,000 | 1,539,884,365,000 | Lean | UTF-8 | Lean | false | false | 6,123 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Mario Carneiro
Topology of the complex numbers.
-/
import data.complex.basic topology.metric_space.basic topology.instances.real
noncomputable theory
open filter metric
open_locale to... |
5f5dba55e186a2ea1a766450673a3df41f05fd87 | 4efff1f47634ff19e2f786deadd394270a59ecd2 | /src/number_theory/quadratic_reciprocity.lean | bacb308324b0cc314c61b245446f7814b5a0d3d7 | [
"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 | 25,078 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes
-/
import field_theory.finite
import data.zmod.basic
import data.nat.parity
/-!
# Quadratic reciprocity.
This file contains results about quadratic residues modulo a prim... |
f3557e7c732a2caf99036783beddf4f57eb1ceb7 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/Lean/Meta/AppBuilder.lean | 8309452256ea924367f47907342d7509f9aaa7b8 | [
"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 | 23,671 | 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.Structure
import Lean.Util.Recognizers
import Lean.Meta.SynthInstance
import Lean.Meta.Check
import Lean.Meta.DecLevel
namespace Lean.Meta
/--... |
c2fcc29a6bc8e9b660efe16e9eccfb8ba17cefab | c45b34bfd44d8607a2e8762c926e3cfaa7436201 | /uexp/src/uexp/rules/addRedundantSemijoinRule.lean | 9efbd36d6f87d19d7ad6f28dee9bcb99e39c6a16 | [
"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 | 1,680 | lean | import ..sql
import ..tactics
import ..u_semiring
import ..extra_constants
import ..TDP
import ..ucongr
import ..cosette_tactics
variable i : const datatypes.int
open SQL
open Pred
open Expr
open Proj
theorem rule :
forall (Γ scm_dept scm_emp : Schema)
(rel_dept : relation scm_dept)
(rel_e... |
f4c10fdbe9ece86a46959fbeb8307c19d10c55ff | fecda8e6b848337561d6467a1e30cf23176d6ad0 | /src/data/nat/fact.lean | fb461bf45ef34a1e0ab6c8bef79a2da0e65e7de1 | [
"Apache-2.0"
] | permissive | spolu/mathlib | bacf18c3d2a561d00ecdc9413187729dd1f705ed | 480c92cdfe1cf3c2d083abded87e82162e8814f4 | refs/heads/master | 1,671,684,094,325 | 1,600,736,045,000 | 1,600,736,045,000 | 297,564,749 | 1 | 0 | null | 1,600,758,368,000 | 1,600,758,367,000 | null | UTF-8 | Lean | false | false | 2,806 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Chris Hughes, Floris van Doorn
-/
import data.nat.basic
/-!
# The factorial function
-/
namespace nat
variables {m n : ℕ}
/-- `nat.fact n` is the factorial of `n`. -... |
6dcbfcd2b183152fb34ea796b50bda8c66e4f368 | 6b2a480f27775cba4f3ae191b1c1387a29de586e | /group_rep_2/Tools/matrix_tools.lean | 27279bc3b36fd9577e4c77c053f21d91fe73e7cf | [] | no_license | Or7ando/group_representation | a681de2e19d1930a1e1be573d6735a2f0b8356cb | 9b576984f17764ebf26c8caa2a542d248f1b50d2 | refs/heads/master | 1,662,413,107,324 | 1,590,302,389,000 | 1,590,302,389,000 | 258,130,829 | 0 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 4,726 | lean | import linear_algebra.determinant
import linear_algebra.matrix
open linear_map
notation f ` ⊚ `:80 g:80 := linear_map.comp f g
universe variables u v w w'
open matrix
open_locale big_operators matrix
variables {R : Type v} [comm_ring R]
variables {X : Type w} [fintype X] [decidable_eq X]
variables {Y : Type w}... |
013574ef2971191f07341cf272a0b0a104f8211b | 302b541ac2e998a523ae04da7673fd0932ded126 | /tests/bench/cut.lean | 4e5b1d37979e399906af8f950b086da306f541ec | [] | no_license | mattweingarten/lambdapure | 4aeff69e8e3b8e78ea3c0a2b9b61770ef5a689b1 | f920a4ad78e6b1e3651f30bf8445c9105dfa03a8 | refs/heads/master | 1,680,665,168,790 | 1,618,420,180,000 | 1,618,420,180,000 | 310,816,264 | 2 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 238 | lean | set_option trace.compiler.ir.init true
inductive Tree
| Nil
| Node (l r : Tree) : Tree
| Node3 (l m r : Tree) : Tree
open Tree
def cut : Tree -> Tree
| Nil => Nil
| Node l r => Node (cut l) (cut r)
| Node3 l m r => Node (cut l) (cut m)
|
33d4451101f8a5efe6a2215317501d5960ce4e9e | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/elabissues/structInst.lean | 55853c1eac3f6c864212faa93193b817c04cda81 | [
"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 | 1,460 | lean | namespace Ex1
structure A :=
(x : Nat)
structure B extends A :=
(y : Nat := x + 2) (x := y + 1)
structure C extends B :=
(z : Nat) (x := z + 10)
#check { y := 1 : B } -- works
#check { z := 1 : C } -- doesn't work, expected { z := 1, x := 1 + 10, y := (1 + 10) + 2 }
end Ex1
namespace Ex2
structure A :=
(x : Nat)... |
78accdbd1c0d78c8aea7b2d5397f57287cf16e80 | 5ae26df177f810c5006841e9c73dc56e01b978d7 | /src/algebra/group/type_tags.lean | 2b3869f3b5982ec201ee6656e6aca73a8acb53ba | [
"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 | 4,104 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
Type tags `multiplicative` and `additive` that turn additive structures into multiplicative, and vice versa
-/
import algebra.group.hom
universes u v
variables {α : Ty... |
634732f6a347fdee8deb7e5887d98b49c53c0ef8 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/simpCondLemma.lean | c16afadbcaf5a6e511186d50d91535895ef896be | [
"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 | 140 | lean | @[simp] axiom divSelf (x : Nat) : x ≠ 0 → x/x = 1
theorem ex (x : Nat) (h : x ≠ 0) : (if x/x = 1 then 0 else 1) = 0 := by
simp [h]
|
7bba6a1aa4fef0bc38f6168ac235fa7577cda1da | a0e23cfdd129a671bf3154ee1a8a3a72bf4c7940 | /tests/lean/weirdmacro.lean | 44f96e72d7fceac4080ac7dd2fa36d2234c6ed56 | [
"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 | 56 | lean | macro term x:term : term => `($x)
#check term 10
-- 10
|
366509ee307d01ac396f4e3a1b7f151b0561e9fc | 4727251e0cd73359b15b664c3170e5d754078599 | /src/data/sym/card.lean | 9d6a18ed295dd62f4ea3e166f85fa126187dde59 | [
"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 | 4,568 | lean | /-
Copyright (c) 2021 Yaël Dillies, Bhavik Mehta. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yaël Dillies, Bhavik Mehta
-/
import algebra.big_operators.basic
import data.finset.sym
/-!
# Stars and bars
In this file, we prove the case `n = 2` of stars and bars.
#... |
0804e85cf3375913efa9b1b92f264fc8e2d9157c | d0f9af2b0ace5ce352570d61b09019c8ef4a3b96 | /notes/2020.03.19-propositional.lean | 0e4670976a518377e4b1654551c4fb726abba0f3 | [] | no_license | jngo13/Discrete-Mathematics | 8671540ef2da7c75915d32332dd20c02f001474e | bf674a866e61f60e6e6d128df85fa73819091787 | refs/heads/master | 1,675,615,657,924 | 1,609,142,011,000 | 1,609,142,011,000 | 267,190,341 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 655 | lean | inductive pExp : Type
| pTrue
| pFalse
| pNot : pExp → pExp --unary
-- binary operators
| pAnd : pExp → pExp → pExp
| pOr : pExp → pExp → pExp
| pImp : pExp → pExp → pExp
open pExp
def bimp : bool → bool → bool
| tt tt := tt
| tt ff := ff
| ff _ := tt
def p1 := pTrue
def p2 := pFalse
def p25 := pNot p2
def p3 := pA... |
95474630cc792fb34c49bda42a251e0daa5cfaa6 | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /hott/hit/coeq.hlean | d10da154c7415bf356038cc9faf348cf395eef58 | [
"Apache-2.0"
] | permissive | soonhokong/lean-osx | 4a954262c780e404c1369d6c06516161d07fcb40 | 3670278342d2f4faa49d95b46d86642d7875b47c | refs/heads/master | 1,611,410,334,552 | 1,474,425,686,000 | 1,474,425,686,000 | 12,043,103 | 5 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 5,152 | hlean | /-
Copyright (c) 2015 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn
Declaration of the coequalizer
-/
import .quotient_functor types.equiv
open quotient eq equiv is_trunc sigma sigma.ops
namespace coeq
section
universe u
paramet... |
689997ad97c67db6a319b0aab6060462ae143335 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/tactic/fresh_names.lean | 664fd4a39c82e9f2cd45336d74f997393326c757 | [
"Apache-2.0"
] | permissive | jjgarzella/mathlib | 96a345378c4e0bf26cf604aed84f90329e4896a2 | 395d8716c3ad03747059d482090e2bb97db612c8 | refs/heads/master | 1,686,480,124,379 | 1,625,163,323,000 | 1,625,163,323,000 | 281,190,421 | 2 | 0 | Apache-2.0 | 1,595,268,170,000 | 1,595,268,169,000 | null | UTF-8 | Lean | false | false | 5,498 | 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 data.sum
import meta.rb_map
import tactic.dependencies
/-!
# Tactics for giving hypotheses fresh names
When introducing hypotheses, we often want to make su... |
7ad73ef436aaf0bfb4f3b34b5fe35db10f182d57 | 957a80ea22c5abb4f4670b250d55534d9db99108 | /tests/lean/run/gcd.lean | 27465da9539e82c7c232f39bdd4939bdf18659ef | [
"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 | 1,488 | lean | open nat well_founded decidable prod
namespace playground
-- Setup
definition pair_nat.lt := lex nat.lt nat.lt
definition pair_nat.lt.wf : well_founded pair_nat.lt :=
prod.lex_wf lt_wf lt_wf
infixl `≺`:50 := pair_nat.lt
-- Lemma for justifying recursive call
private lemma lt₁ (x₁ y₁ : nat) : (x₁ - y₁, succ y₁) ≺ ... |
df827e4160ce3cb156d19b523befba32fe480792 | 947b78d97130d56365ae2ec264df196ce769371a | /tests/lean/run/unif_issue2.lean | d0e42071771d628eb4277caecbe8ae7a29f57935 | [
"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 | 327 | lean | import Lean
new_frontend
open Lean
#check @StateT.run Nat Id Nat (let f := fun (x : Unit) => pure 0; f ()) 0
#check Id.run $ StateT.run (let x := fun _ => pure 0; x ()) 0
#check @StateT.run Nat Id (List Nat) (let x := fun _ => pure [0]; x ()) 0
#check @Unhygienic.run Syntax $ let x := fun _ => pure Syntax.missing... |
1a9fec574b36296cd5caf39cad30b1a2b625149a | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /tests/lean/629.lean | 2a854aeab62d367732751fdc34494228e29f6e5d | [
"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 | 217 | lean | import Std.Data.BinomialHeap
open Std
def test : BinomialHeap (Nat × Nat) (λ (x, _) (y, _) => x < y) :=
BinomialHeap.empty.insert (0, 1) |>.insert (0, 2) |>.insert (0, 3)
#eval test.head
#eval test.tail.toList
|
6838751cca4d27ed4460f0202752b3635779a663 | 969dbdfed67fda40a6f5a2b4f8c4a3c7dc01e0fb | /src/topology/metric_space/gromov_hausdorff.lean | 6afc55c1f88004a5ec7169cdea75c3ec011d9545 | [
"Apache-2.0"
] | permissive | SAAluthwela/mathlib | 62044349d72dd63983a8500214736aa7779634d3 | 83a4b8b990907291421de54a78988c024dc8a552 | refs/heads/master | 1,679,433,873,417 | 1,615,998,031,000 | 1,615,998,031,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 55,726 | lean | /-
Copyright (c) 2019 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Sébastien Gouëzel
-/
import topology.metric_space.closeds
import set_theory.cardinal
import topology.metric_space.gromov_hausdorff_realized
import topology.metric_space.completion
im... |
a6cf609914f87f73fd9992717c67304f0dbe9a27 | 4efff1f47634ff19e2f786deadd394270a59ecd2 | /src/tactic/simps.lean | 9ddbfb944e5c1857fd796aed0729babac5dab768 | [
"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 | 25,089 | lean | /-
Copyright (c) 2019 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn
-/
import tactic.core
/-!
# simps attribute
This file defines the `@[simps]` attribute, to automatically generate simp-lemmas
reducing a definition when projections... |
b2304aadee48ce4da081b07a12e05eea467e17f1 | 2c096fdfecf64e46ea7bc6ce5521f142b5926864 | /src/Lean/Elab/Inductive.lean | 2e5e22a1cd0d727963ab96387e4dc0d8a0b0ebaf | [
"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 | Kha/lean4 | 1005785d2c8797ae266a303968848e5f6ce2fe87 | b99e11346948023cd6c29d248cd8f3e3fb3474cf | refs/heads/master | 1,693,355,498,027 | 1,669,080,461,000 | 1,669,113,138,000 | 184,748,176 | 0 | 0 | Apache-2.0 | 1,665,995,520,000 | 1,556,884,930,000 | Lean | UTF-8 | Lean | false | false | 40,058 | 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.ReplaceLevel
import Lean.Util.ReplaceExpr
import Lean.Util.CollectLevelParams
import Lean.Meta.Constructions
import Lean.Meta.CollectFVars
... |
66ee492f959be2d2335c8d00018d03de2ba48d5e | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/number_theory/dioph.lean | 564b996e7e7c8ba80b54a38011c9404bacb31595 | [
"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 | 35,346 | 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 number_theory.pell
import data.pfun
import data.fin2
/-!
# Diophantine functions and Matiyasevic's theorem
Hilbert's tenth problem asked whether there exist... |
46585b4c38e8d233c2cd8b6a2f3326361103a223 | 46125763b4dbf50619e8846a1371029346f4c3db | /src/data/nat/multiplicity.lean | 37df9e28498a09dcb41129ab4d9b7afae92e4955 | [
"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 | 9,434 | 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 data.nat.choose ring_theory.multiplicity data.nat.modeq algebra.gcd_domain
/-!
# Natural number multiplicity
This file contains lemmas about the multiplicity fun... |
e3f4acbd42d05f7b9e25f113c59e449ec0aae4e1 | 7cef822f3b952965621309e88eadf618da0c8ae9 | /archive/imo1988_q6.lean | 3391f8acbf902466e6e7f4a924e7854724df4ade | [
"Apache-2.0"
] | permissive | rmitta/mathlib | 8d90aee30b4db2b013e01f62c33f297d7e64a43d | 883d974b608845bad30ae19e27e33c285200bf84 | refs/heads/master | 1,585,776,832,544 | 1,576,874,096,000 | 1,576,874,096,000 | 153,663,165 | 0 | 2 | Apache-2.0 | 1,544,806,490,000 | 1,539,884,365,000 | Lean | UTF-8 | Lean | false | false | 13,823 | lean | /-
Copyright (c) 2019 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin
-/
import data.rat.basic
import tactic
/-!
# IMO1988 Q6 and constant descent Vieta jumping
Question 6 of IMO1988 is somewhat (in)famous. Several expert problem solver... |
962d5f55cce0ed19043668168fe55e69047b2e0c | ce4db867008cc96ee6ea6a34d39c2fa7c6ccb536 | /src/commun.lean | 76933ea4085bbf63e8402390cf43dab8d1c30f69 | [] | no_license | PatrickMassot/lean-bavard | ab0ceedd6bab43dc0444903a80b911c5fbfb23c3 | 92a1a8c7ff322e4f575ec709b8c5348990d64f18 | refs/heads/master | 1,679,565,084,665 | 1,616,158,570,000 | 1,616,158,570,000 | 348,144,867 | 1 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 6,196 | lean | import tactic
namespace tactic
setup_tactic_parser
meta def nettoyage : tactic unit :=
do try `[dsimp only at * { eta := false, beta := true }],
try `[simp only [exists_prop] at *]
def force_type (p : Sort*) (x : p) := p
meta def verifie_nom (n : name) :=
success_if_fail (do hyp ← get_local n, skip) <|>
fail (... |
74c19c1c355b3813305f02b76ff3426361483f8e | ee8cdbabf07f77e7be63a449b8483ce308d37218 | /lean/src/valid/mathd-numbertheory-211.lean | 492bfd57e1e482a544c18166307cb97570cbed16 | [
"Apache-2.0",
"MIT"
] | permissive | zeta1999/miniF2F | 6d66c75d1c18152e224d07d5eed57624f731d4b7 | c1ba9629559c5273c92ec226894baa0c1ce27861 | refs/heads/main | 1,681,897,460,642 | 1,620,646,361,000 | 1,620,646,361,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 303 | lean | /-
Copyright (c) 2021 OpenAI. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kunhao Zheng
-/
import data.real.basic
import data.finset.basic
example : finset.card ( finset.filter (λ n, 6 ∣(4 * n - 2 )) (finset.range 60) ) = 20 :=
begin
sorry
end
|
bd022e891e6d043f09f49278c986774387b7776f | e0f9ba56b7fedc16ef8697f6caeef5898b435143 | /src/data/set/finite.lean | e9070ff249886fa8f729aca505781497f01fec21 | [
"Apache-2.0"
] | permissive | anrddh/mathlib | 6a374da53c7e3a35cb0298b0cd67824efef362b4 | a4266a01d2dcb10de19369307c986d038c7bb6a6 | refs/heads/master | 1,656,710,827,909 | 1,589,560,456,000 | 1,589,560,456,000 | 264,271,800 | 0 | 0 | Apache-2.0 | 1,589,568,062,000 | 1,589,568,061,000 | null | UTF-8 | Lean | false | false | 23,225 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro
-/
import data.fintype.basic
import algebra.big_operators
/-!
# Finite sets
This file defines predicates `finite : set α → Prop` and `infinite : set α ... |
523757730bbe809c6350ca9ecbbb37a93e642771 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/linear_algebra/annihilating_polynomial.lean | 3685247bdb834d514b6333556800b381324c23bc | [
"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 | 6,686 | 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 data.set.basic
import field_theory.minpoly
import ring_theory.principal_ideal_domain
import ring_theory.polynomial_algebra
/-!
# Annihilating Ideal
Given a com... |
c7eff30f0965752ac9bb31f234dfe57113c578ae | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/Lean/Compiler/LCNF/ReduceArity.lean | 9b862b81e5f552bb29153efc26db2dfcf8965cc5 | [
"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 | 6,246 | lean | /-
Copyright (c) 2022 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Compiler.LCNF.CompilerM
import Lean.Compiler.LCNF.PhaseExt
import Lean.Compiler.LCNF.InferType
import Lean.Compiler.LCNF.Internalize
namespace ... |
282a4d0c8cfd69950695f25774ae30c58014ec2e | 26ac254ecb57ffcb886ff709cf018390161a9225 | /src/data/subtype.lean | 06828b28a5b77c1eeca4b9429010b0ac75264da2 | [
"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 | 5,043 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Johannes Hölzl
-/
import tactic.lint
import tactic.ext
open function
namespace subtype
variables {α : Sort*} {β : Sort*} {γ : Sort*} {p : α → Prop}
/-- A version of `x.property` or `... |
3c55f73c588ba892913251756d87413e103d1fff | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/algebra/group/units.lean | fe2f95950e0ce7fd12be82c28da2263e1858bac9 | [
"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 | 11,989 | lean | /-
Copyright (c) 2017 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau, Mario Carneiro, Johannes Hölzl, Chris Hughes, Jens Wagemaker
-/
import algebra.group.basic
import logic.nontrivial
/-!
# Units (i.e., invertible elements) of a multiplicative mo... |
4241f57f00d2c0aa4f0d99bdc13f5f84689115c4 | 64874bd1010548c7f5a6e3e8902efa63baaff785 | /tests/lean/run/eq9.lean | cf968c068346aaed39a24f74da4b8dcba81f99b1 | [
"Apache-2.0"
] | permissive | tjiaqi/lean | 4634d729795c164664d10d093f3545287c76628f | d0ce4cf62f4246b0600c07e074d86e51f2195e30 | refs/heads/master | 1,622,323,796,480 | 1,422,643,069,000 | 1,422,643,069,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 326 | lean | open nat
theorem lt_trans : ∀ {a b c : nat}, a < b → b < c → a < c,
lt_trans h (lt.base _) := lt.step h,
lt_trans h₁ (lt.step h₂) := lt.step (lt_trans h₁ h₂)
theorem lt_succ : ∀ {a b : nat}, a < b → succ a < succ b,
lt_succ (lt.base a) := lt.base (succ a),
lt_succ (lt.step h) := lt.step (lt_succ h)
|
bd902d863305ddc5d07b105bb89ac6c5a5913447 | 947b78d97130d56365ae2ec264df196ce769371a | /tests/lean/hygienicIntro.lean | dc6c533dfd642c41933178d23f6940c0574bb020 | [
"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 | 1,205 | lean | new_frontend
set_option hygienicIntro false in
theorem ex1 {a p q r : Prop} : p → (p → q) → (q → r) → r := by
intro _ h1 h2;
apply h2;
apply h1;
exact a_1 -- Bad practice, using name generated by `intro`.
theorem ex2 {a p q r : Prop} : p → (p → q) → (q → r) → r := by
intro _ h1 h2;
apply h2;
apply h1;
exact a_1 -- er... |
83dc714e9ff133cdb050e8fd0d8bb79aa32d6de1 | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /stage0/src/Lean/Data/Name.lean | 5c6c092db9d3afc7501fb81d22a7eb1b4f7e78d7 | [
"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 | 6,352 | 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... |
eed636472700bfa656d082fc23f3e39ed9a22f3f | 94e33a31faa76775069b071adea97e86e218a8ee | /src/topology/maps.lean | bb5ad15770ac1ae49a68e259641091765cdf1d05 | [
"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 | 24,381 | 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, Patrick Massot
-/
import topology.order
/-!
# Specific classes of maps between topological spaces
This file introduces the following properties of a m... |
f3a94a5a71853293d084e603c7c6243ead7f3d58 | bdb33f8b7ea65f7705fc342a178508e2722eb851 | /analysis/measure_theory/borel_space.lean | 02bfdec10bcc8ce2a01510eb6d1a9d1f497a85e6 | [
"Apache-2.0"
] | permissive | rwbarton/mathlib | 939ae09bf8d6eb1331fc2f7e067d39567e10e33d | c13c5ea701bb1eec057e0a242d9f480a079105e9 | refs/heads/master | 1,584,015,335,862 | 1,524,142,167,000 | 1,524,142,167,000 | 130,614,171 | 0 | 0 | Apache-2.0 | 1,548,902,667,000 | 1,524,437,371,000 | Lean | UTF-8 | Lean | false | false | 10,326 | 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... |
5bed27bf33aa3d7c93e775cdcf5681971f347360 | 57fdc8de88f5ea3bfde4325e6ecd13f93a274ab5 | /analysis/measure_theory/outer_measure.lean | 2f31ac05b1737e98596b6ce8d6b46ca38942b725 | [
"Apache-2.0"
] | permissive | louisanu/mathlib | 11f56f2d40dc792bc05ee2f78ea37d73e98ecbfe | 2bd5e2159d20a8f20d04fc4d382e65eea775ed39 | refs/heads/master | 1,617,706,993,439 | 1,523,163,654,000 | 1,523,163,654,000 | 124,519,997 | 0 | 0 | Apache-2.0 | 1,520,588,283,000 | 1,520,588,283,000 | null | UTF-8 | Lean | false | false | 18,006 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
Outer measures -- overapproximations of measures
-/
import data.set order.galois_connection algebra.big_operators
analysis.ennreal analysis.limits
analys... |
fcc3f646207b71f9687f1ac67d427a6e3ca3e480 | dd0f5513e11c52db157d2fcc8456d9401a6cd9da | /09_Type_Classes.org.26.lean | 74da362959171d923780b903945e805d99a13702 | [] | 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 | 479 | lean | import standard
inductive has_add [class] (A : Type) : Type :=
mk : (A → A → A) → has_add A
definition add {A : Type} [s : has_add A] :=
has_add.rec (λ x, x) s
notation a `+` b := add a b
-- BEGIN
section
variables {A : Type} [H : has_add A] (a b : A)
include H
definition foo1 : a + b = a + b := rfl
omit H
definitio... |
e966371a67da391ea1929b7d841943528b16c6bb | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/analysis/convex/quasiconvex.lean | 5cdb6f4f8cd7ec4717ec7d1d312a21b38ad4642a | [
"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 | 8,487 | 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 analysis.convex.function
/-!
# Quasiconvex and quasiconcave functions
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file require a correspondi... |
0e44c51499a42197cab319d6f2f250b9d897ffd2 | 206422fb9edabf63def0ed2aa3f489150fb09ccb | /src/linear_algebra/pi_tensor_product.lean | 5ff0b2af674006336cf1bf334c65fe1776b30714 | [
"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 | 15,503 | lean | /-
Copyright (c) 2020 Frédéric Dupuis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Frédéric Dupuis
-/
import group_theory.congruence
import linear_algebra.multilinear
/-!
# Tensor product of an indexed family of semimodules over commutative semirings
We define th... |
9833738f5cb10310bd72cde9919447ccbb3004f8 | 856e2e1615a12f95b551ed48fa5b03b245abba44 | /src/data/polynomial/eval.lean | a95021603a40980e8556ccb3d9128cc1fe09d3d8 | [
"Apache-2.0"
] | permissive | pimsp/mathlib | 8b77e1ccfab21703ba8fbe65988c7de7765aa0e5 | 913318ca9d6979686996e8d9b5ebf7e74aae1c63 | refs/heads/master | 1,669,812,465,182 | 1,597,133,610,000 | 1,597,133,610,000 | 281,890,685 | 1 | 0 | null | 1,595,491,577,000 | 1,595,491,576,000 | null | UTF-8 | Lean | false | false | 14,867 | 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.induction
import data.polynomial.degree.basic
/-!
# Theory of univariate polynomials
The main def... |
fec84aaacb286e671d3751b7371243443e660b48 | 205f0fc16279a69ea36e9fd158e3a97b06834ce2 | /src/06_Negation/00_intro.lean | 428d0a9d3b2553fa0f2885c248ea2f6f220ce530 | [] | no_license | kevinsullivan/cs-dm-lean | b21d3ca1a9b2a0751ba13fcb4e7b258010a5d124 | a06a94e98be77170ca1df486c8189338b16cf6c6 | refs/heads/master | 1,585,948,743,595 | 1,544,339,346,000 | 1,544,339,346,000 | 155,570,767 | 1 | 3 | null | 1,541,540,372,000 | 1,540,995,993,000 | Lean | UTF-8 | Lean | false | false | 22,788 | lean | /-
* proposition built using ¬
* the formal meaning of ¬
* proofs of inequalities, ¬a=b
* disjointness of constructors
* strategy: proof by negation
* inference rule: modus tollens
* principle: non-contradiction
* rule: negation elimination
* axiom: excluded middle
* classical vs constructive logic
* double-negatio... |
a80bae10c1d732a1d4fe9dcc017b9cc6037af1db | 4a092885406df4e441e9bb9065d9405dacb94cd8 | /src/valuation/canonical.lean | e26e829192f2c79c6407108a9ad513075f3fb815 | [
"Apache-2.0"
] | permissive | semorrison/lean-perfectoid-spaces | 78c1572cedbfae9c3e460d8aaf91de38616904d8 | bb4311dff45791170bcb1b6a983e2591bee88a19 | refs/heads/master | 1,588,841,765,494 | 1,554,805,620,000 | 1,554,805,620,000 | 180,353,546 | 0 | 1 | null | 1,554,809,880,000 | 1,554,809,880,000 | null | UTF-8 | Lean | false | false | 32,531 | lean | import valuation.basic
import for_mathlib.quotient_group
import for_mathlib.subgroup
import for_mathlib.group -- group_equiv
import for_mathlib.order -- preorder.lift'
/-
The purpose of this file is to define a "canonical" valuation equivalent to
a given valuation. The whole raison d'etre for this is that th... |
2e826cfd84e47408011eca34930e43b1b899a39e | 206422fb9edabf63def0ed2aa3f489150fb09ccb | /src/algebra/ordered_monoid.lean | c64f69283bd2fdfa146243f1236ac36cafd4cf5d | [
"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 | 39,692 | lean | /-
Copyright (c) 2016 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Leonardo de Moura, Mario Carneiro, Johannes Hölzl
-/
import algebra.group.with_one
import algebra.group.type_tags
import algebra.group.prod
import algebra.order_functions... |
39f23e95c31014715ee45d88c6fb53bef605c53c | 947b78d97130d56365ae2ec264df196ce769371a | /tests/lean/appParserIssue.lean | c616cacc72e97396a6087b91404ba305f5fec4f8 | [
"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 | 333 | lean | new_frontend
def f (x : Nat) (g : Nat → Nat) := g x
#check f 1 fun x => x -- should work
#check f 1 (fun x => x) -- should work
#check f 1 $ fun x => x -- should work
syntax "foo" term:max term:max : term
macro_rules `(foo $x $y) => `(f $x $y)
#check foo 1 (fun x => x) -- should work
#check foo 1 fun x => x -- s... |
4ce13a772714412f1b6edc949c321d53fa8fed03 | f2fbd9ce3f46053c664b74a5294d7d2f584e72d3 | /src/for_mathlib/group_completion.lean | 71de16e9319c450256622be1a096ca414cc70afa | [
"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 | 8,450 | lean | import for_mathlib.topological_structures
import for_mathlib.completion
universe u
variables {α : Type*} [uniform_space α]
variables (G : Type u) [add_comm_group G] [topological_space G] [topological_add_group G]
open uniform_space function set uniform_space.to_completion
lemma uniform_continuous_add'' [add_group α]... |
ee83a2a49d240af6a40ecf5ca7248559611fc691 | e4def7044cdf5942eed78db25d2daa58d80eed64 | /_target/deps/mathlib/src/topology/algebra/module.lean | be399f5689d7ee79279dd4009a55ebe673e89f43 | [
"Apache-2.0"
] | permissive | kevinsullivan/dm.s20.old | 3f8f736b9a792cca8dd44a73a98ade0b534ed084 | a240be0a53961ac25b5f4426fe7bc8d4dbe7013f | refs/heads/master | 1,607,522,498,471 | 1,579,058,084,000 | 1,579,058,084,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 11,523 | lean | /-
Copyright (c) 2019 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jan-David Salchow, Sébastien Gouëzel, Jean Lo
Theory of topological modules and continuous linear maps.
-/
import topology.algebra.ring linear_algebra.basic ring_theory.algebra
o... |
a34dff6a6e22d81996d5b18b106adbddf656b3f7 | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /src/Lean/Elab/InfoTree/Main.lean | 35f465a722385acadb11386ff7ba090c15d86587 | [
"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 | 15,505 | lean | /-
Copyright (c) 2020 Wojciech Nawrocki. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Wojciech Nawrocki, Leonardo de Moura, Sebastian Ullrich
-/
import Lean.Data.Position
import Lean.Message
import Lean.Data.Json
import Lean.Meta.Basic
import Lean.Meta.PPGoal
import... |
55b053500e31ed66cb4d6037a6d74d7ce5272944 | 4b846d8dabdc64e7ea03552bad8f7fa74763fc67 | /library/tools/super/resolution.lean | d277912d6df8d0b0b5144b9da9e195e798da8536 | [
"Apache-2.0"
] | permissive | pacchiano/lean | 9324b33f3ac3b5c5647285160f9f6ea8d0d767dc | fdadada3a970377a6df8afcd629a6f2eab6e84e8 | refs/heads/master | 1,611,357,380,399 | 1,489,870,101,000 | 1,489,870,101,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,289 | lean | /-
Copyright (c) 2016 Gabriel Ebner. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gabriel Ebner
-/
import .clause .prover_state .utils
open tactic monad
namespace super
variable gt : expr → expr → bool
variables (ac1 ac2 : derived_clause)
variables (c1 c2 : clause)... |
f7389fc7bf2e33297cf76a5f8bde47762ef07453 | 0845ae2ca02071debcfd4ac24be871236c01784f | /library/init/data/array/default.lean | 009793032405a38895c2316a163626e8eb3d4acf | [
"Apache-2.0"
] | permissive | GaloisInc/lean4 | 74c267eb0e900bfaa23df8de86039483ecbd60b7 | 228ddd5fdcd98dd4e9c009f425284e86917938aa | refs/heads/master | 1,643,131,356,301 | 1,562,715,572,000 | 1,562,715,572,000 | 192,390,898 | 0 | 0 | null | 1,560,792,750,000 | 1,560,792,749,000 | null | UTF-8 | Lean | false | false | 259 | lean | /-
Copyright (c) 2017 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gabriel Ebner
-/
prelude
import init.data.array.basic
import init.data.array.qsort
import init.data.array.binsearch
|
f4270f226134c9189fa010e1a9473f30d3b60e43 | d1bbf1801b3dcb214451d48214589f511061da63 | /src/analysis/normed_space/basic.lean | 8ad12cd39a1ee8120f883724fb28d8939904d7b5 | [
"Apache-2.0"
] | permissive | cheraghchi/mathlib | 5c366f8c4f8e66973b60c37881889da8390cab86 | f29d1c3038422168fbbdb2526abf7c0ff13e86db | refs/heads/master | 1,676,577,831,283 | 1,610,894,638,000 | 1,610,894,638,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 56,161 | 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 topology.instances.nnreal
import topology.algebra.module
import topology.metric_space.antilipschitz
/-!
# Normed spaces
-/
variables {α : Typ... |
5a5cf6ec6ed7fb900f0f6c4a65ecb1fd62ebbe48 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/topology/metric_space/isometry.lean | 19c549b0ee7d81377bd6f1c0b5b72893b8f20f35 | [
"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 | 14,275 | lean | /-
Copyright (c) 2018 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Isometries of emetric and metric spaces
Authors: Sébastien Gouëzel
-/
import topology.metric_space.antilipschitz
/-!
# Isometries
We define isometries, i.e., maps between emetric spaces th... |
0431b8678c85cf41c98190e45c4d0767ff6c6d6d | 618003631150032a5676f229d13a079ac875ff77 | /src/category_theory/limits/shapes/constructions/limits_of_products_and_equalizers.lean | 4e1690d04a45aebdf67a7e30f42aea26920a4c05 | [
"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 | 4,796 | 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 category_theory.limits.shapes.equalizers
import category_theory.limits.shapes.finite_products
/-!
# Constructing limits from products and equalizers.... |
9ec329372fa2ebec89655f4ab2a5c959cfe8f3b9 | 9028d228ac200bbefe3a711342514dd4e4458bff | /src/data/set/function.lean | cf368bedab214765ed1f7e3db91021616c47c849 | [
"Apache-2.0"
] | permissive | mcncm/mathlib | 8d25099344d9d2bee62822cb9ed43aa3e09fa05e | fde3d78cadeec5ef827b16ae55664ef115e66f57 | refs/heads/master | 1,672,743,316,277 | 1,602,618,514,000 | 1,602,618,514,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 25,332 | lean | /-
Copyright (c) 2014 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Jeremy Avigad, Andrew Zipperer, Haitao Zhang, Minchao Wu, Yury Kudryashov
-/
import data.set.basic
import logic.function.conjugate
/-!
# Functions over sets
## Main definitions
### Pr... |
6e351864e066990c8219d1051f577b20150561bc | 82e44445c70db0f03e30d7be725775f122d72f3e | /src/topology/fiber_bundle.lean | 28935b41fd2df6afa342242a2cd2e748e8d7e508 | [
"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 | 57,923 | 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.local_homeomorph
import topology.algebra.ordered.basic
import data.bundle
/-!
# Fiber bundles
A topological fiber bundle with fiber `F` over a... |
90df70e925172ea7e6e8d84b14a41db674f59a91 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/algebra/order/rearrangement.lean | 9cd2d6d035fda6b45b1131dfcac705ab5c4e80c1 | [
"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 | 28,063 | lean | /-
Copyright (c) 2022 Mantas Bakšys. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mantas Bakšys
-/
import algebra.big_operators.basic
import algebra.order.module
import data.prod.lex
import group_theory.perm.support
import order.monotone.monovary
import tactic.abel
... |
55135e7b8602682b06e7f8fc8104277354964f9f | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/analysis/complex/arg.lean | a1716af4733cb8a3a7bc2e0646db7542d7297a0c | [
"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 | 1,978 | lean | /-
Copyright (c) 2022 Eric Rodriguez. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Eric Rodriguez
-/
import analysis.inner_product_space.basic
import analysis.special_functions.complex.arg
/-!
# Rays in the complex numbers
This file links the definition `same_ray ... |
266faecc2d8a71cb453cbfd871f8c73b8983ec6d | 4727251e0cd73359b15b664c3170e5d754078599 | /src/category_theory/conj.lean | ffd088fa0e901fe69797f85ce693545a7cc83cec | [
"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 | 5,438 | lean | /-
Copyright (c) 2019 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov
-/
import category_theory.endomorphism
/-!
# Conjugate morphisms by isomorphisms
An isomorphism `α : X ≅ Y` defines
- a monoid isomorphism `conj : End X ≃* End Y` by... |
cb5bf772ef677bdcf547f6c15eb3e0088ca92be6 | 7cef822f3b952965621309e88eadf618da0c8ae9 | /src/data/pnat/factors.lean | 92b26fcb81df9a17d7f48063d1b76ddcab0758ed | [
"Apache-2.0"
] | permissive | rmitta/mathlib | 8d90aee30b4db2b013e01f62c33f297d7e64a43d | 883d974b608845bad30ae19e27e33c285200bf84 | refs/heads/master | 1,585,776,832,544 | 1,576,874,096,000 | 1,576,874,096,000 | 153,663,165 | 0 | 2 | Apache-2.0 | 1,544,806,490,000 | 1,539,884,365,000 | Lean | UTF-8 | Lean | false | false | 14,000 | lean | /-
Copyright (c) 2019 Neil Strickland. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Neil Strickland
-/
import tactic.basic
import data.pnat.basic data.nat.prime data.multiset data.int.basic data.int.gcd
algebra.group algebra.group_power algebra.ordered_ring
/-- The... |
b4b1dd9688c80f800f31fe9d5781b2cf70111e8c | 510e96af568b060ed5858226ad954c258549f143 | /tools/auto/experiments/set_basic.lean | b4f6ea9f14e2343f2888f6377916816663557602 | [] | no_license | Shamrock-Frost/library_dev | cb6d1739237d81e17720118f72ba0a6db8a5906b | 0245c71e4931d3aceeacf0aea776454f6ee03c9c | refs/heads/master | 1,609,481,034,595 | 1,500,165,215,000 | 1,500,165,347,000 | 97,350,162 | 0 | 0 | null | 1,500,164,969,000 | 1,500,164,969,000 | null | UTF-8 | Lean | false | false | 28,069 | lean | /-
Copyright (c) 2014 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Jeremy Avigad
Test examples for "finish".
-/
import data.set
import ....logic.basic
import ....algebra.lattice
import ..finish
open function lattice auto
universes u v w
variables {α ... |
42ab4a6c3a00818b597e19e207a0246898427c4e | bb31430994044506fa42fd667e2d556327e18dfe | /src/number_theory/modular_forms/slash_actions.lean | e572d30bb678e316c40778fdcb265dad025e4108 | [
"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 | 8,311 | lean | /-
Copyright (c) 2022 Chris Birkbeck. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Birkbeck
-/
import analysis.complex.upper_half_plane.basic
import linear_algebra.general_linear_group
import linear_algebra.special_linear_group
/-!
# Slash actions
This file de... |
3a6f8f7b15ee196c3f41ce64f04dafbbd74545d3 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/ring_theory/witt_vector/is_poly_auto.lean | 829b48e34fc951f92bf78e5a6fa868ec99204e25 | [] | 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 | 19,599 | lean | /-
Copyright (c) 2020 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin, Robert Y. Lewis
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.algebra.ring.ulift
import Mathlib.ring_theory.witt_vector.basic
import Mat... |
47965687e566919dd417ef4aa1027b9748b6e77a | 4727251e0cd73359b15b664c3170e5d754078599 | /src/set_theory/ordinal/arithmetic.lean | ab15dcb9732148674a789c0fdf1e4d5f49613b4a | [
"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 | 102,649 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Floris van Doorn, Violeta Hernández Palacios
-/
import set_theory.ordinal.basic
import tactic.by_contra
/-!
# Ordinal arithmetic
Ordinals have an addition (correspond... |
3212656a017948a29e2831c18abe66d1f3621d47 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/analysis/normed_space/hahn_banach_auto.lean | ee241f90ae0de0de6fef1995ff315a122ad92341 | [] | 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 | 3,646 | lean | /-
Copyright (c) 2020 Yury Kudryashov All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov, Heather Macbeth
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.analysis.normed_space.operator_norm
import Mathlib.analysis.normed_space.... |
d254806202eeef1aacec1db94667853f6d7eb6be | 49bd2218ae088932d847f9030c8dbff1c5607bb7 | /src/analysis/normed_space/bounded_linear_maps.lean | 77c2dae12e15eea7986e6c1285ccdf1001947ef2 | [
"Apache-2.0"
] | permissive | FredericLeRoux/mathlib | e8f696421dd3e4edc8c7edb3369421c8463d7bac | 3645bf8fb426757e0a20af110d1fdded281d286e | refs/heads/master | 1,607,062,870,732 | 1,578,513,186,000 | 1,578,513,186,000 | 231,653,181 | 0 | 0 | Apache-2.0 | 1,578,080,327,000 | 1,578,080,326,000 | null | UTF-8 | Lean | false | false | 14,536 | 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
Continuous linear functions -- functions between normed vector spaces which are bounded and linear.
-/
import algebra.field
import analysis.normed_space... |
b3b09e6729edf2a8f5a88f0d5da594e82bd6720c | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/Lean/Data/Lsp/Basic.lean | 590c036cefd7d7e78581fa993f46bc02b8f5c9a1 | [
"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 | 13,907 | lean | /-
Copyright (c) 2020 Marc Huisinga. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Marc Huisinga, Wojciech Nawrocki
-/
import Lean.Data.Json
import Lean.Data.JsonRpc
/-! Defines most of the 'Basic Structures' in the LSP specification
(https://microsoft.github.io/lan... |
89c61c784b875afecfee247b6ca7f7f575828743 | dd0f5513e11c52db157d2fcc8456d9401a6cd9da | /02_Dependent_Type_Theory.org.13.lean | 116a152beb2488dfe6afd683b70c920711dcb315 | [] | 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 | 463 | lean | /- page 18 -/
import standard
constants A B C : Type
constant f : A → B
constant g : B → C
constant h : A → A
constants (a : A) (b : B)
eval (λ x : A, x) a -- a
eval (λ x : A, b) a -- b
eval (λ x : A, b) (h a) -- b
eval (λ x : A, g (f x)) a -- g (f a)
eval (λ v u x, ... |
40bfa4f97a4699d74ef3f6ebb992425ae7dbc2fa | 4727251e0cd73359b15b664c3170e5d754078599 | /src/measure_theory/probability_mass_function/monad.lean | 683b1245c9090090ba55617c0a004f4c0a56c02c | [
"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 | 14,401 | lean | /-
Copyright (c) 2020 Devon Tuma. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Devon Tuma
-/
import measure_theory.probability_mass_function.basic
/-!
# Monad Operations for Probability Mass Functions
This file constructs two operations on `pmf` tha... |
01215a2c8f9b68184f2d216f86338c53cf01172c | 8b9f17008684d796c8022dab552e42f0cb6fb347 | /library/init/measurable.lean | aafc2f3cdfbb9de38cd8be67ab9a6c3584d15718 | [
"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 | 1,443 | lean | /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Module: init.measurable
Authors: Leonardo de Moura
Types with a nat-valued complexity measure.
-/
prelude
import init.nat
open nat
inductive measurable [class] (A : Type) :=
mk : (A →... |
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