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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
a187822daa8b5f928c4492037c04d0be0fafc9c0 | 57aec6ee746bc7e3a3dd5e767e53bd95beb82f6d | /stage0/src/Init/Data/Fin/Basic.lean | a91785d33475734185fbbdea548142ace835049a | [
"Apache-2.0"
] | permissive | collares/lean4 | 861a9269c4592bce49b71059e232ff0bfe4594cc | 52a4f535d853a2c7c7eea5fee8a4fa04c682c1ee | refs/heads/master | 1,691,419,031,324 | 1,618,678,138,000 | 1,618,678,138,000 | 358,989,750 | 0 | 0 | Apache-2.0 | 1,618,696,333,000 | 1,618,696,333,000 | null | UTF-8 | Lean | false | false | 2,991 | 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.Nat.Div
import Init.Data.Nat.Bitwise
import Init.Coe
open Nat
namespace Fin
instance coeToNat {n} : Coe (Fin n) Nat :=
⟨fun v =... |
8209a25b2dbfcd09310e17b3417dde0959e4e148 | a4673261e60b025e2c8c825dfa4ab9108246c32e | /src/Lean/Elab/LetRec.lean | aed232888f8b68941551ee7d89c294ff27695a2f | [
"Apache-2.0"
] | permissive | jcommelin/lean4 | c02dec0cc32c4bccab009285475f265f17d73228 | 2909313475588cc20ac0436e55548a4502050d0a | refs/heads/master | 1,674,129,550,893 | 1,606,415,348,000 | 1,606,415,348,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,890 | lean | /-
Copyright (c) 2020 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Elab.Attributes
import Lean.Elab.Binders
import Lean.Elab.DeclModifiers
import Lean.Elab.SyntheticMVars
namespace Lean.Elab.Term
open Meta
str... |
c19055c040838517609dc5e5fa52f65cd75aac8d | 94e33a31faa76775069b071adea97e86e218a8ee | /src/measure_theory/measure/measure_space_def.lean | f47853e491359c31c9bbf87b03952b5e4bb0b3a2 | [
"Apache-2.0"
] | permissive | urkud/mathlib | eab80095e1b9f1513bfb7f25b4fa82fa4fd02989 | 6379d39e6b5b279df9715f8011369a301b634e41 | refs/heads/master | 1,658,425,342,662 | 1,658,078,703,000 | 1,658,078,703,000 | 186,910,338 | 0 | 0 | Apache-2.0 | 1,568,512,083,000 | 1,557,958,709,000 | Lean | UTF-8 | Lean | false | false | 22,519 | 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 measure_theory.measure.outer_measure
import order.filter.countable_Inter
import data.set.accumulate
/-!
# Measure spaces
This file defines me... |
5b6c3902f0d57780ae5f3527e4d95bb2f54d486f | d1a52c3f208fa42c41df8278c3d280f075eb020c | /tests/lean/run/matchEqsBug.lean | 6b4ea20a4d2c67822434cea48d7133158851728a | [
"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 | 733 | lean | import Lean
syntax (name := test) "test%" ident : command
open Lean.Elab
open Lean.Elab.Command
@[commandElab test] def elabTest : CommandElab := fun stx => do
let id ← resolveGlobalConstNoOverloadWithInfo stx[1]
liftTermElabM none do
IO.println (repr (← Lean.Meta.Match.getEquationsFor id))
return ()
def f... |
82b44664fdad9c5036a32f4e51ff90203f3d4065 | 8eeb99d0fdf8125f5d39a0ce8631653f588ee817 | /src/number_theory/arithmetic_function.lean | fadf03036794beac0fadb4c49368c591d2104862 | [
"Apache-2.0"
] | permissive | jesse-michael-han/mathlib | a15c58378846011b003669354cbab7062b893cfe | fa6312e4dc971985e6b7708d99a5bc3062485c89 | refs/heads/master | 1,625,200,760,912 | 1,602,081,753,000 | 1,602,081,753,000 | 181,787,230 | 0 | 0 | null | 1,555,460,682,000 | 1,555,460,682,000 | null | UTF-8 | Lean | false | false | 7,942 | lean | /-
Copyright (c) 2020 Aaron Anderson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Aaron Anderson
-/
import algebra.big_operators.ring
import number_theory.divisors
/-!
# Arithmetic Functions and Dirichlet Convolution
This file defines arithmetic functions, which a... |
5e9738023791952c4e8ad7f80674eb72a287879f | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/impLambdaTac.lean | 36f875c72a424bcc0b394c1c5449bb6ea87d52a1 | [
"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 | 681 | lean | example (P : Prop) : ∀ {p : P}, P := by
exact fun {p} => p
example (P : Prop) : ∀ {p : P}, P := by
intro h; exact h
example (P : Prop) : ∀ {p : P}, P := by
exact @id _
example (P : Prop) : ∀ {p : P}, P := by
exact no_implicit_lambda% id
macro "exact'" x:term : tactic => `(tactic| exact no_implicit_lambda% $... |
6e104288d8826b60677874f5e842bbdc591b7d11 | bdb33f8b7ea65f7705fc342a178508e2722eb851 | /order/boolean_algebra.lean | 1a7971f00856941e2918283e3ed6810617e0d0f8 | [
"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 | 3,674 | 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 class hierarchy for Boolean algebras.
-/
import order.bounded_lattice
set_option old_structure_cmd true
namespace lattice
universes u
variables {α : Type u} {w x ... |
793e99c1dc74ef0d146fbe1581411ac582a62512 | 8b9f17008684d796c8022dab552e42f0cb6fb347 | /tests/lean/run/forest.lean | ef0195d040de3f32738de7d92c0f5e2d77956593 | [
"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 | 4,489 | lean | import data.prod data.unit
open prod
inductive tree (A : Type) : Type :=
| node : A → forest A → tree A
with forest : Type :=
| nil : forest A
| cons : tree A → forest A → forest A
namespace manual
definition tree.below.{l₁ l₂}
(A : Type.{l₁})
(C₁ : tree A → Type.{l₂})
(C₂ : forest A → Type.{l₂})
... |
27def045b3aa22b417aa6c8ce7c7e9a010019d49 | 853df553b1d6ca524e3f0a79aedd32dde5d27ec3 | /src/topology/algebra/infinite_sum.lean | 2e9a000597b50f1103eb699087d1c14cb9e11ad9 | [
"Apache-2.0"
] | permissive | DanielFabian/mathlib | efc3a50b5dde303c59eeb6353ef4c35a345d7112 | f520d07eba0c852e96fe26da71d85bf6d40fcc2a | refs/heads/master | 1,668,739,922,971 | 1,595,201,756,000 | 1,595,201,756,000 | 279,469,476 | 0 | 0 | null | 1,594,696,604,000 | 1,594,696,604,000 | null | UTF-8 | Lean | false | false | 35,936 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
Infinite sum over a topological monoid
This sum is known as unconditionally convergent, as it sums to the same value under all possible
permutations. For Euclidean spa... |
94aa0af1ba7abd78c58770301d52b009e42b215b | 55c7fc2bf55d496ace18cd6f3376e12bb14c8cc5 | /src/algebra/group_with_zero.lean | 43df4f03cee22bf93d957e9250779feaf83168aa | [
"Apache-2.0"
] | permissive | dupuisf/mathlib | 62de4ec6544bf3b79086afd27b6529acfaf2c1bb | 8582b06b0a5d06c33ee07d0bdf7c646cae22cf36 | refs/heads/master | 1,669,494,854,016 | 1,595,692,409,000 | 1,595,692,409,000 | 272,046,630 | 0 | 0 | Apache-2.0 | 1,592,066,143,000 | 1,592,066,142,000 | null | UTF-8 | Lean | false | false | 36,826 | 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 logic.nontrivial
import algebra.group.commute
import algebra.group.units_hom
import algebra.group.inj_surj
/-!
# Groups with an adjoined zero element
This fi... |
7f6ccc7c8cbb888c30f53897db02dd5fb01dc0d5 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/data/fintype/order.lean | b3234143e11f735d7980660536b8358b0fac9f55 | [
"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 | 6,156 | lean | /-
Copyright (c) 2021 Peter Nelson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Peter Nelson, Yaël Dillies
-/
import data.fintype.lattice
import data.finset.order
/-!
# Order structures on finite types
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to th... |
78b9653c43c4f6af7b321d1d25004f5c8f9491ae | ac89c256db07448984849346288e0eeffe8b20d0 | /stage0/src/Lean/Meta/Tactic/Simp/SimpLemmas.lean | cbfa5d3d1d04dec781f538192dcc3db1734e3acc | [
"Apache-2.0"
] | permissive | chepinzhang/lean4 | 002cc667f35417a418f0ebc9cb4a44559bb0ccac | 24fe2875c68549b5481f07c57eab4ad4a0ae5305 | refs/heads/master | 1,688,942,838,326 | 1,628,801,942,000 | 1,628,801,995,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 11,172 | 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.ScopedEnvExtension
import Lean.Util.Recognizers
import Lean.Meta.LevelDefEq
import Lean.Meta.DiscrTree
import Lean.Meta.AppBuilder
import Lean.M... |
5d4b982c1c2b67faae23174bac4e8248b8dc8cbb | 22e97a5d648fc451e25a06c668dc03ac7ed7bc25 | /src/topology/constructions.lean | e985bca79c8dd9bfd7f252a1794d98b4b2ef7b86 | [
"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 | 32,237 | 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.maps
/-!
# Constructions of new topological spaces from old ones
This file constructs products, sums, subtypes and q... |
a16f447cf29874842d59a7a3789ee03ce518b6dd | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/data/finsupp/ne_locus.lean | 39b84a7643a10194679154245381a283302e9ef8 | [
"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 | 5,426 | lean | /-
Copyright (c) 2022 Damiano Testa. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Damiano Testa
-/
import data.finsupp.defs
/-!
# Locus of unequal values of finitely supported functions
Let `α N` be two Types, assume that `N` has a `0` and let `f g : α →₀ N` be fin... |
569b605958fa000d3872d8c86eb107949a0825a6 | d1a52c3f208fa42c41df8278c3d280f075eb020c | /src/Lean/Meta/Check.lean | 4cf14d1d0a87900d58ab437e999ee1a4b2ed6555 | [
"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 | 6,900 | 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.InferType
/-
This is not the Kernel type checker, but an auxiliary method for checking
whether terms produced by tactics and `isDefEq` are... |
439de65a060ec39f8d72cc1ed47ef3cbdceb3a25 | 55c7fc2bf55d496ace18cd6f3376e12bb14c8cc5 | /src/category_theory/limits/over.lean | 18f0c9798aa8333d0b8ec8c041234bb8773bd33e | [
"Apache-2.0"
] | permissive | dupuisf/mathlib | 62de4ec6544bf3b79086afd27b6529acfaf2c1bb | 8582b06b0a5d06c33ee07d0bdf7c646cae22cf36 | refs/heads/master | 1,669,494,854,016 | 1,595,692,409,000 | 1,595,692,409,000 | 272,046,630 | 0 | 0 | Apache-2.0 | 1,592,066,143,000 | 1,592,066,142,000 | null | UTF-8 | Lean | false | false | 5,308 | lean | /-
Copyright (c) 2018 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin, Reid Barton, Bhavik Mehta
-/
import category_theory.over
import category_theory.limits.preserves
universes v u -- declare the `v`'s first; see `category_theory.categor... |
5b93d8a43e0c91cddde8a7d9692741e3fce75cef | 76df16d6c3760cb415f1294caee997cc4736e09b | /lean/src/interp/sym/thm.lean | a313837493930ee9ec2a7424ee704a29e415fcba | [
"MIT"
] | permissive | uw-unsat/leanette-popl22-artifact | 70409d9cbd8921d794d27b7992bf1d9a4087e9fe | 80fea2519e61b45a283fbf7903acdf6d5528dbe7 | refs/heads/master | 1,681,592,449,670 | 1,637,037,431,000 | 1,637,037,431,000 | 414,331,908 | 6 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 18,577 | lean | import ...cs.svm
import ...cs.sym
import ...cs.lang
import .defs
import ..tactic
import ...basic.basic
namespace interp
section interp
variables
{Model SymB SymV D O : Type}
[inhabited Model] [inhabited SymV]
{f : sym.factory Model SymB SymV D O}
open sym
open lang
lemma mk_tt_ne_mk_ff : f.mk_tt ≠ f.mk_ff :... |
177d0cf906d35f2b5b864b5b861a286451551041 | 22e97a5d648fc451e25a06c668dc03ac7ed7bc25 | /src/category_theory/preadditive.lean | dbd54b7e1e6d4bed90c8eb5fb09f56a8a5ac1abd | [
"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 | 6,539 | lean | /-
Copyright (c) 2020 Markus Himmel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Markus Himmel
-/
import algebra.group.hom
import category_theory.limits.shapes.kernels
/-!
# Preadditive categories
A preadditive category is a category in which `X ⟶ Y` is an abelian... |
831d0d242dfb8f801673b1e7c28c000934b4cf0f | ce6917c5bacabee346655160b74a307b4a5ab620 | /src/ch5/ex0402.lean | 3cc01f715c7499d6074ebccdc0277d67081ee6d2 | [] | no_license | Ailrun/Theorem_Proving_in_Lean | ae6a23f3c54d62d401314d6a771e8ff8b4132db2 | 2eb1b5caf93c6a5a555c79e9097cf2ba5a66cf68 | refs/heads/master | 1,609,838,270,467 | 1,586,846,743,000 | 1,586,846,743,000 | 240,967,761 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 348 | lean | example (p q r : Prop) : p ∧ (q ∨ r) ↔ (p ∧ q) ∨ (p ∧ r) :=
begin
apply iff.intro,
intro h,
cases h.right with hq hr,
exact or.inl ⟨h.left, hq⟩,
exact or.inr ⟨h.left, hr⟩,
intro h,
cases h with hpq hpr,
exact ⟨hpq.left, or.inl hpq.right⟩,
exact ⟨hpr.left, or.inr hpr.right⟩
end
|
0bf3387eb46d75ef3e64c26da2d75bdd19963bb4 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/combinatorics/simple_graph/basic.lean | b41ea9aa0d7e80315f122b71a44eb6345a0d1f3e | [
"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 | 30,369 | lean | /-
Copyright (c) 2020 Aaron Anderson, Jalex Stark, Kyle Miller. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Aaron Anderson, Jalex Stark, Kyle Miller, Alena Gusakov, Hunter Monroe
-/
import data.fintype.basic
import data.rel
import data.set.finite
import data.sym.sym... |
06581ce3648837023a3a06602772706030872172 | 31f556cdeb9239ffc2fad8f905e33987ff4feab9 | /src/Lean/Parser/Command.lean | 4fe3e584b7327893879d2a3dc5983ab405a669a7 | [
"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 | tobiasgrosser/lean4 | ce0fd9cca0feba1100656679bf41f0bffdbabb71 | ebdbdc10436a4d9d6b66acf78aae7a23f5bd073f | refs/heads/master | 1,673,103,412,948 | 1,664,930,501,000 | 1,664,930,501,000 | 186,870,185 | 0 | 0 | Apache-2.0 | 1,665,129,237,000 | 1,557,939,901,000 | Lean | UTF-8 | Lean | false | false | 14,639 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura, Sebastian Ullrich
-/
import Lean.Parser.Term
import Lean.Parser.Do
namespace Lean
namespace Parser
/-- Syntax quotation for terms. -/
@[builtinTermParser] d... |
3636a15c3c8cbf4b20a34aa6a3e7bd74c738959a | bbecf0f1968d1fba4124103e4f6b55251d08e9c4 | /src/topology/algebra/ordered/basic.lean | d673ebad2ed30bb0d247bd3e53ec12c36b7fb355 | [
"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 | 146,579 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro, Yury Kudryashov
-/
import algebra.group_with_zero.power
import data.set.intervals.pi
import order.filter.interval
import topology.algebra.group
import t... |
ce5ddc4d3d06fc0c7bdb581457233a2c552c510a | 302c785c90d40ad3d6be43d33bc6a558354cc2cf | /src/data/real/pi.lean | 580335fa329b132fd58ca616f41a73ee1d81c1f4 | [
"Apache-2.0"
] | permissive | ilitzroth/mathlib | ea647e67f1fdfd19a0f7bdc5504e8acec6180011 | 5254ef14e3465f6504306132fe3ba9cec9ffff16 | refs/heads/master | 1,680,086,661,182 | 1,617,715,647,000 | 1,617,715,647,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 19,769 | 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, Benjamin Davidson
-/
import analysis.special_functions.integrals
/-!
# Pi
This file contains lemmas which establish bounds on or approximations of `real.pi`. Notab... |
2221b427d18b661a3f396dead13a97450519ac18 | ae1e94c332e17c7dc7051ce976d5a9eebe7ab8a5 | /src/Lean/AuxRecursor.lean | 680a7ab2ae6929463a76dc94f58705818a1beeb3 | [
"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 | 901 | 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
namespace Lean
builtin_initialize auxRecExt : TagDeclarationExtension ← mkTagDeclarationExtension `auxRec
@[export lean_mark_aux_... |
5148e54150fb5dce792a3afdddfdaef3321444cc | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/data/string/basic.lean | 6c66510d3a53c770fe1fc9b16a88025595d7114b | [
"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 | 4,206 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
import data.list.basic
import data.char
/-!
# Strings
Supplementary theorems about the `string` type.
-/
namespace string
/-- `<` on string iterators. This coinci... |
50874f4df26f50931df251221b00454c47f5426e | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/data/fin_auto.lean | ad6aba4bc644aebeada020e6c60654dcb5a3521c | [] | 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 | 48,403 | lean | /-
Copyright (c) 2017 Robert Y. Lewis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Robert Y. Lewis, Keeley Hoek
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.data.nat.cast
import Mathlib.tactic.localized
import Mathlib.order.rel_iso
i... |
27d5fc10d7b8a2a9b2c530e60cef8b26c2dd6084 | 6b2a480f27775cba4f3ae191b1c1387a29de586e | /group_rep1/morphism_test.lean | b2a24667a87573ba184fe4d2c60d89026cc7306f | [] | 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 | 1,471 | lean | import .group_representation
universe variables u v w w' w'' w'''
open linear_map
variables {G : Type u} [group G] {R : Type v}[ring R]
namespace morphism
variables {M : Type w} [add_comm_group M] [module R M]
{M' : Type w'} [add_comm_group M'] [module R M']
/--
a morphism `f : ρ ⟶ π` between repr... |
808f14d831cabda5f5a68f3ca54f201a4ab899ba | d1a52c3f208fa42c41df8278c3d280f075eb020c | /stage0/src/Lean/Data/Lsp/Communication.lean | cbb5252ee894cd506d67064ad0f90415340aa518 | [
"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 | 3,524 | 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 Init.System.IO
import Lean.Data.JsonRpc
/-! Reading/writing LSP messages from/to IO handles. -/
namespace IO.FS.Stream
open Lean
open Lean... |
9e0b2d1273fc2737e62ca3392df5aca513ec09f8 | 302c785c90d40ad3d6be43d33bc6a558354cc2cf | /src/linear_algebra/pi.lean | 188f34db570b7ba8fff80979bc5e06fee5e97e18 | [
"Apache-2.0"
] | permissive | ilitzroth/mathlib | ea647e67f1fdfd19a0f7bdc5504e8acec6180011 | 5254ef14e3465f6504306132fe3ba9cec9ffff16 | refs/heads/master | 1,680,086,661,182 | 1,617,715,647,000 | 1,617,715,647,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 9,975 | 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, Eric Wieser
-/
import linear_algebra.basic
/-!
# Pi types of semimodules
This file defines constructors for linear map... |
a3690535c59f490c6f99e304818909e5aa78e7b5 | 55c7fc2bf55d496ace18cd6f3376e12bb14c8cc5 | /src/algebra/homology/homology.lean | ff12762d5061d2359e06bde5ad3443e4e3a2157a | [
"Apache-2.0"
] | permissive | dupuisf/mathlib | 62de4ec6544bf3b79086afd27b6529acfaf2c1bb | 8582b06b0a5d06c33ee07d0bdf7c646cae22cf36 | refs/heads/master | 1,669,494,854,016 | 1,595,692,409,000 | 1,595,692,409,000 | 272,046,630 | 0 | 0 | Apache-2.0 | 1,592,066,143,000 | 1,592,066,142,000 | null | UTF-8 | Lean | false | false | 6,743 | lean | /-
Copyright (c) 2020 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison, Markus Himmel
-/
import algebra.homology.chain_complex
import algebra.homology.image_to_kernel_map
/-!
# (Co)homology groups for complexes
We setup that part of the t... |
32da0c18b1f943fc4d570746702b56944d575208 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/topology/category/CompHaus/basic.lean | ebb5dd0d439574c15e182f7dd7ba825fee051837 | [
"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 | 9,702 | lean | /-
Copyright (c) 2020 Adam Topaz. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Adam Topaz, Bhavik Mehta
-/
import category_theory.adjunction.reflective
import topology.stone_cech
import category_theory.monad.limits
import topology.urysohns_lemma
import topology.cate... |
fe976be9a6195a96001188aa34bba554fe9b3f28 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/analysis/normed_space/banach.lean | 91a2dfc8927d9cbb6a536dba330996c631a976ef | [
"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 | 21,391 | lean | /-
Copyright (c) 2019 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import topology.metric_space.baire
import analysis.normed_space.operator_norm
import analysis.normed_space.affine_isometry
/-!
# Banach open mapping theorem
T... |
e7a378c3cf682f48e35fe78167d45516ea6a7f9b | 4727251e0cd73359b15b664c3170e5d754078599 | /src/analysis/calculus/lhopital.lean | 451bad09d3c04db21945d16ff5dfcf3c2b972fcd | [
"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 | 24,816 | lean | /-
Copyright (c) 2020 Anatole Dedecker. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Anatole Dedecker
-/
import analysis.calculus.mean_value
/-!
# L'Hôpital's rule for 0/0 indeterminate forms
In this file, we prove several forms of "L'Hopital's rule" for computing ... |
3413988cc4f070acc3c973e5a4e6d9106fcde318 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/data/complex/cardinality.lean | 1bbabbe9cde5e59cb49bcb3a36d7d676d92015ab | [
"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 | 955 | lean | /-
Copyright (c) 2022 Violeta Hernández Palacios. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Violeta Hernández Palacios
-/
import data.complex.basic
import data.real.cardinality
/-!
# The cardinality of the complex numbers
This file shows that the complex number... |
e805bea71264bf081cb3d8898c6b9f6065db0b3f | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/analysis/mean_inequalities_pow.lean | e639c518c2bffc1b5b10b7f4f9d8d88249564706 | [
"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 | 16,243 | lean | /-
Copyright (c) 2019 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov, Sébastien Gouëzel, Rémy Degenne
-/
import analysis.convex.jensen
import analysis.convex.specific_functions.basic
import analysis.special_functions.pow.nnreal
import t... |
55d42a63122371edd8cdf21c6a578fa93ab92ec2 | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /tests/lean/run/root.lean | b1397de2d5cd899bc9aa180b1ef3a8584ac7f5ba | [
"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 | 225 | lean | constant foo : Prop
namespace N1
constant foo : Prop
check N1.foo
check _root_.foo
namespace N2
constant foo : Prop
check N1.foo
check N1.N2.foo
print raw foo
print raw _root_.foo
end N2
end N1
|
73144394b8edf9720f0854cd862e62cc75376b0e | d29d82a0af640c937e499f6be79fc552eae0aa13 | /src/topology/subset_properties.lean | ce4d7f269f78ec2a4f8f077880dd37a856090470 | [
"Apache-2.0"
] | permissive | AbdulMajeedkhurasani/mathlib | 835f8a5c5cf3075b250b3737172043ab4fa1edf6 | 79bc7323b164aebd000524ebafd198eb0e17f956 | refs/heads/master | 1,688,003,895,660 | 1,627,788,521,000 | 1,627,788,521,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 66,591 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro, Yury Kudryashov
-/
import topology.bases
import data.finset.order
import data.set.accumulate
/-!
# Properties of subsets of topological spaces
In this... |
e92b7b9718ab5cf184bdae63307edbb35d386b05 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/analysis/convex/between.lean | c93700712f53ec88b000ccfdb135903b5dc4516e | [
"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 | 22,187 | 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 data.set.intervals.group
import analysis.convex.segment
import linear_algebra.affine_space.finite_dimensional
import tactic.field_simp
/-!
# Betweenness in affine... |
51870a5ccf154cae7e89b48729eecc05aab0bb58 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/data/seq/parallel.lean | 9d65207055b69187ea78930c9f8a22efcec62b25 | [] | 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 | 3,956 | lean | /-
Copyright (c) 2017 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Mario Carneiro
Parallel computation of a computable sequence of computations by
a diagonal enumeration.
The important theorems of this operation are proven as
terminates_paralle... |
558af43ba290f592f0a20073731922c5f68f9b9b | 82b86ba2ae0d5aed0f01f49c46db5afec0eb2bd7 | /stage0/src/Lean/Compiler/ExternAttr.lean | b67206dcc7c745fd25377b6606aad0725959a7ff | [
"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 | 6,857 | 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.Expr
import Lean.Environment
import Lean.Attributes
import Lean.ProjFns
import Lean.Meta.Basic
namespace Lean
inductive ExternEntry
| adhoc ... |
f7881a1c3a43522c54f8e668c7d3ce9d7e59ed24 | d1a52c3f208fa42c41df8278c3d280f075eb020c | /stage0/src/Lean/Meta/AbstractNestedProofs.lean | 00c5fd1e96e952beb8650b7ff8820b0d24ef8040 | [
"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 | 3,020 | 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.Closure
namespace Lean.Meta
namespace AbstractNestedProofs
def isNonTrivialProof (e : Expr) : MetaM Bool := do
if !(← isProof e) then
... |
4528b3332f3f8f25c15fb7cf295bc7674fdc6df5 | 9c2e8d73b5c5932ceb1333265f17febc6a2f0a39 | /src/K/semantics.lean | 3616a9379ddbaaa4a6cff9e2c928bec2c3c56074 | [
"MIT"
] | permissive | minchaowu/ModalTab | 2150392108dfdcaffc620ff280a8b55fe13c187f | 9bb0bf17faf0554d907ef7bdd639648742889178 | refs/heads/master | 1,626,266,863,244 | 1,592,056,874,000 | 1,592,056,874,000 | 153,314,364 | 12 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 13,267 | lean | import .ops
open subtype nnf
@[simp] def force {states : Type} (k : kripke states) : states → nnf → Prop
| s (var n) := k.val n s
| s (neg n) := ¬ k.val n s
| s (and φ ψ) := force s φ ∧ force s ψ
| s (or φ ψ) := force s φ ∨ force s ψ
| s (box φ) := ∀ s', k.rel s s' → force s' φ
| s (dia φ) := ∃ s', k.re... |
4d64085d8ae65207dc4d138ad4b7f586cdf7e30a | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/measure_theory/function/conditional_expectation/indicator.lean | 75145fe2c871c5d336b77ddebd03df048db2393c | [
"Apache-2.0"
] | permissive | alreadydone/mathlib | dc0be621c6c8208c581f5170a8216c5ba6721927 | c982179ec21091d3e102d8a5d9f5fe06c8fafb73 | refs/heads/master | 1,685,523,275,196 | 1,670,184,141,000 | 1,670,184,141,000 | 287,574,545 | 0 | 0 | Apache-2.0 | 1,670,290,714,000 | 1,597,421,623,000 | Lean | UTF-8 | Lean | false | false | 9,859 | 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.function.conditional_expectation.basic
/-!
# Conditional expectation of indicator functions
This file proves some results about the conditional ... |
ddb1821be140ee950ace241e9bf2fc1e5bf09728 | 6dc0c8ce7a76229dd81e73ed4474f15f88a9e294 | /src/Lean/Parser/Do.lean | 5adfafc70df4d7f521a573c94a64ef743d282d2f | [
"Apache-2.0"
] | permissive | williamdemeo/lean4 | 72161c58fe65c3ad955d6a3050bb7d37c04c0d54 | 6d00fcf1d6d873e195f9220c668ef9c58e9c4a35 | refs/heads/master | 1,678,305,356,877 | 1,614,708,995,000 | 1,614,708,995,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 6,254 | 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.Parser.Term
namespace Lean
namespace Parser
builtin_initialize registerBuiltinParserAttribute `builtinDoElemParser `doElem
builtin_initialize ... |
a62b6a6e74ca9f04c07002832e1a36ea4b8f41e3 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/linear_algebra/multilinear/basic.lean | 1bc50a50377a7730ccc1d17e9628b20916dae44d | [
"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 | 61,903 | lean | /-
Copyright (c) 2020 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import linear_algebra.basic
import algebra.algebra.basic
import algebra.big_operators.order
import algebra.big_operators.ring
import data.list.fin_range
import ... |
59510d908dfcbe093a8198a619cc1b28037ce07f | 618003631150032a5676f229d13a079ac875ff77 | /src/data/int/modeq.lean | 9ca4fe3791516e0701b553819c49a3a827097273 | [
"Apache-2.0"
] | permissive | awainverse/mathlib | 939b68c8486df66cfda64d327ad3d9165248c777 | ea76bd8f3ca0a8bf0a166a06a475b10663dec44a | refs/heads/master | 1,659,592,962,036 | 1,590,987,592,000 | 1,590,987,592,000 | 268,436,019 | 1 | 0 | Apache-2.0 | 1,590,990,500,000 | 1,590,990,500,000 | null | UTF-8 | Lean | false | false | 6,036 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes
-/
import data.nat.modeq
import tactic
namespace int
def modeq (n a b : ℤ) := a % n = b % n
notation a ` ≡ `:50 b ` [ZMOD `:50 n `]`:0 := modeq n a b
namespace modeq
var... |
97d838b707475d6f18a01aaeb624d3fad46b7bf1 | 130c49f47783503e462c16b2eff31933442be6ff | /src/Lean/Parser/Command.lean | 139f544776f77337f973ab0ec183c420e5f93e92 | [
"Apache-2.0"
] | permissive | Hazel-Brown/lean4 | 8aa5860e282435ffc30dcdfccd34006c59d1d39c | 79e6732fc6bbf5af831b76f310f9c488d44e7a16 | refs/heads/master | 1,689,218,208,951 | 1,629,736,869,000 | 1,629,736,896,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 10,226 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura, Sebastian Ullrich
-/
import Lean.Parser.Term
import Lean.Parser.Do
namespace Lean
namespace Parser
/--
Syntax quotation for terms and (lists of) commands.... |
a50538434f60c2dc789cc531a57500efafe338cc | 55c7fc2bf55d496ace18cd6f3376e12bb14c8cc5 | /src/tactic/squeeze.lean | 7b6c8f553a25074b9ab0e65bb7dc88a8760c7819 | [
"Apache-2.0"
] | permissive | dupuisf/mathlib | 62de4ec6544bf3b79086afd27b6529acfaf2c1bb | 8582b06b0a5d06c33ee07d0bdf7c646cae22cf36 | refs/heads/master | 1,669,494,854,016 | 1,595,692,409,000 | 1,595,692,409,000 | 272,046,630 | 0 | 0 | Apache-2.0 | 1,592,066,143,000 | 1,592,066,142,000 | null | UTF-8 | Lean | false | false | 14,037 | lean | /-
Copyright (c) 2019 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Simon Hudon
-/
import control.traversable.basic
import tactic.simpa
open interactive interactive.types lean.parser
private meta def loc.to_string_aux : option name → string
| none := "⊢"... |
e7448b7e675fd6ee56b33d4b27ea26bc862bc804 | 26ac254ecb57ffcb886ff709cf018390161a9225 | /src/topology/category/Top/opens.lean | 1def8a7a375c1e87f2a0e7c4f2b04669891e5128 | [
"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 | 3,866 | 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.category.Top.basic
import category_theory.eq_to_hom
open category_theory
open topological_space
open opposite
universe u
namespace topological_spac... |
924df4767c1ffe287fddb3c965c5d2da7a86573e | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/mk_inhabited1.lean | efd321e939f388d3068c85a5625dd8e57b2373ac | [
"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 | 498 | lean | open tactic
definition nat_inhabited : inhabited nat :=
by mk_inhabited_instance
definition list_inhabited {A : Type} : inhabited (list A) :=
by mk_inhabited_instance
definition prod_inhabited {A B : Type} [inhabited A] [inhabited B] : inhabited (A × B) :=
by mk_inhabited_instance
definition sum_inhabited₁ {A B : T... |
b6cf44dbe77aab682f360217fc3e66f4210f87da | d642a6b1261b2cbe691e53561ac777b924751b63 | /src/algebra/group/units.lean | 7d10b122218183bfcfed4dc3f1dabd7af2e996de | [
"Apache-2.0"
] | permissive | cipher1024/mathlib | fee56b9954e969721715e45fea8bcb95f9dc03fe | d077887141000fefa5a264e30fa57520e9f03522 | refs/heads/master | 1,651,806,490,504 | 1,573,508,694,000 | 1,573,508,694,000 | 107,216,176 | 0 | 0 | Apache-2.0 | 1,647,363,136,000 | 1,508,213,014,000 | Lean | UTF-8 | Lean | false | false | 5,597 | 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
Units (i.e., invertible elements) of a multiplicative monoid.
-/
import tactic.basic logic.function
universe u
variable {α : Type... |
39d9ab33ad29b1e358f27598df6365bdba20c264 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/measure_theory/measure/hausdorff.lean | fb4aa3800f7ecdd28d110f0bdc3270713d234dc6 | [
"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 | 44,836 | lean | /-
Copyright (c) 2021 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov
-/
import analysis.special_functions.pow
import logic.equiv.list
import measure_theory.constructions.borel_space
import measure_theory.measure.lebesgue
import topology... |
306b942389939957274e2640f24feef223b570d1 | 0b3933727d99a2f351f5dbe6e24716bb786a6649 | /src/sesh/eval.lean | 741a614ef1439844b303b4bb9da2a48c4870d10a | [] | no_license | Vtec234/lean-sesh | 1e770858215279f65aba92b4782b483ab4f09353 | d11d7bb0599406e27d3a4d26242aec13d639ecf7 | refs/heads/master | 1,587,497,515,696 | 1,558,362,223,000 | 1,558,362,223,000 | 169,809,439 | 2 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 16,363 | lean | /- Introduces evaluation contexts. -/
import sesh.term
import sesh.ren_sub
open term
open matrix
universes u v w
/- Oh no, additional axioms. -/
axiom heq.congr {α γ : Sort u} {β δ : Sort v} {f₁ : α → β} {f₂ : γ → δ} {a₁ : α} {a₂ : γ} (h₁ : f₁ == f₂) (h₂ : a₁ == a₂) : f₁ a₁ == f₂ a₂
axiom heq.dcongr {α β : Sort u}... |
cabe2b629f7983c6c2df6ae4c2fdc04d060ffa3d | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/linear_algebra/projective_space/basic.lean | cde97cc906b6b144cc28ffd532a27591bc8ef6f8 | [
"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 | 8,247 | lean | /-
Copyright (c) 2022 Adam Topaz. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Adam Topaz
-/
import linear_algebra.finite_dimensional
/-!
# Projective Spaces
This file contains the definition of the projectivization of a vector space over a field,
as well as the b... |
aad4a85e0149639d6edee02e5badb6a8655b7338 | 9cb9db9d79fad57d80ca53543dc07efb7c4f3838 | /src/for_mathlib/normed_group_hom.lean | 1249292d260739bbb3c294599ff3795bf5241e88 | [] | no_license | mr-infty/lean-liquid | 3ff89d1f66244b434654c59bdbd6b77cb7de0109 | a8db559073d2101173775ccbd85729d3a4f1ed4d | refs/heads/master | 1,678,465,145,334 | 1,614,565,310,000 | 1,614,565,310,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 22,606 | lean | import analysis.normed_space.basic
import topology.sequences
open_locale nnreal big_operators
/-!
# Normed groups homomorphisms
This file gathers definitions and elementary constructions about bounded group homormorphisms
between normed groups (abreviated to "normed group homs").
The main lemmas relate the boundedne... |
5645b859097d1d46d9cd60febd80b11590a6941c | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/set_theory/ordinal/topology.lean | 329858582a3482ea7b2e3874e54e60dc22e1e5e4 | [
"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 | 9,816 | lean | /-
Copyright (c) 2022 Violeta Hernández Palacios. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Violeta Hernández Palacios
-/
import set_theory.ordinal.arithmetic
import topology.order.basic
/-!
### Topology of ordinals
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> A... |
cd6df32131e927f5d4c8c7dea640f86a8d70cc6b | 624f6f2ae8b3b1adc5f8f67a365c51d5126be45a | /stage0/src/Init/Lean/Elab/App.lean | 9e4ac2541c080cd49e587c84730e59abc1f1956c | [
"Apache-2.0"
] | permissive | mhuisi/lean4 | 28d35a4febc2e251c7f05492e13f3b05d6f9b7af | dda44bc47f3e5d024508060dac2bcb59fd12e4c0 | refs/heads/master | 1,621,225,489,283 | 1,585,142,689,000 | 1,585,142,689,000 | 250,590,438 | 0 | 2 | Apache-2.0 | 1,602,443,220,000 | 1,585,327,814,000 | C | UTF-8 | Lean | false | false | 29,990 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
prelude
import Init.Lean.Util.FindMVar
import Init.Lean.Elab.Term
import Init.Lean.Elab.Binders
namespace Lean
namespace Elab
namespace Term
/--
Auxiliar... |
ea85df670f2c0f93eeab7cde1fef92da7fe5ca27 | db7224090b4cb10a7442cf43e9b01a18cd5456b4 | /Maze.lean | 276a7ec53f1dfe13079f0840162cb0297fac36c8 | [
"Apache-2.0"
] | permissive | bollu/lean4-maze | 324a5664c34037755be995f475c9368e49cb8d1e | ac96b971ab40dc00461e404643f8efd54645f27c | refs/heads/main | 1,690,952,076,496 | 1,633,661,863,000 | 1,633,661,863,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 15,092 | lean | import Lean
-- Turn off pp.analyze. When pp.analyze is set to true (the default), some of our
-- larger mazes take a long time to display.
set_option pp.analyze false
-- Coordinates in a two dimensional grid. ⟨0,0⟩ is the upper left.
structure Coords where
x : Nat -- column number
y : Nat -- row number
deriving B... |
3e79d39169497251c773d21dd270961c08984d59 | 271e26e338b0c14544a889c31c30b39c989f2e0f | /stage0/src/Init/Data/PersistentHashSet.lean | 9a63be93b666a0fb26e122060fc6d715a348cf05 | [
"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 | 1,460 | 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
-/
prelude
import Init.Data.PersistentHashMap
universes u v
structure PersistentHashSet (α : Type u) [HasBeq α] [Hashable α] :=
(set : PersistentHashMap α Uni... |
a28c4caf7b751140459842e1d5e4b8ea0aafed1d | 618003631150032a5676f229d13a079ac875ff77 | /src/order/filter/lift.lean | 8858d6693f73e464f30a64ca68f2c865a2d56c05 | [
"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 | 16,554 | lean | /-
Copyright (c) 2019 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
Lift filters along filter and set functions.
-/
import order.filter.basic
open set
open_locale classical
namespace filter
variables {α : Type*} {β : Type*} {γ : Type... |
e033ccf5fc8a282b825be13ba87e50a42c89950f | 246309748072bf9f8da313401699689ebbecd94d | /src/algebra/category/CommRing/limits.lean | db01f7cdb62ec4adcc2a4aca623112b20d26537f | [
"Apache-2.0"
] | permissive | YJMD/mathlib | b703a641e5f32a996f7842f7c0043bab2b462ee2 | 7310eab9fa8c1b1229dca42682f1fa6bfb7dbbf9 | refs/heads/master | 1,670,714,479,314 | 1,599,035,445,000 | 1,599,035,445,000 | 292,279,930 | 0 | 0 | null | 1,599,050,561,000 | 1,599,050,560,000 | null | UTF-8 | Lean | false | false | 14,919 | 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 algebra.ring.pi
import algebra.category.CommRing.basic
import algebra.category.Group.limits
import deprecated.subring
import ring_theory.subsemiring
/-!
# The... |
d1aed215a25edd9dedd232dc09465886b2caf0f0 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/ring_theory/local_properties.lean | b862b968f5e3793d3e29cc6dc13ca336a72b2879 | [
"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 | 28,730 | lean | /-
Copyright (c) 2021 Andrew Yang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Andrew Yang
-/
import ring_theory.finite_type
import ring_theory.localization.at_prime
import ring_theory.localization.away
import ring_theory.localization.integer
import ring_theory.loca... |
68fb3491bebda2c5070906cc8742c58b02b24125 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/algebra/lie/skew_adjoint.lean | 4c3ea50651cbeb6c3c914adc9d57a7c80e041f27 | [
"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 | 7,200 | lean | /-
Copyright (c) 2020 Oliver Nash. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Oliver Nash
-/
import algebra.lie.matrix
import linear_algebra.matrix.bilinear_form
/-!
# Lie algebras of skew-adjoint endomorphisms of a bilinear form
When a module carries a bilinear ... |
2b6fc0ac3a5ff4a9614444da719af7a67a18875a | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/run/attrs.lean | 6dcbb0649a7b2fa138d39de2064a0fb46bb7cdce | [
"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 | 267 | lean | structure A : Type :=
(a : nat)
structure B : Type :=
(a : nat)
structure C : Type :=
(a : nat)
constant f : A → B
constant g : B → C
constant h : C → C
constant a : A
attribute f g [coercion]
set_option pp.coercions true
set_option pp.beta true
check h a
|
492eb19efcadf8c6b42eb94f937dbada68fe32a3 | 07c76fbd96ea1786cc6392fa834be62643cea420 | /hott/algebra/category/functor/basic.hlean | f6dd0996695aab29c34371e4bc556b523eea0480 | [
"Apache-2.0"
] | permissive | fpvandoorn/lean2 | 5a430a153b570bf70dc8526d06f18fc000a60ad9 | 0889cf65b7b3cebfb8831b8731d89c2453dd1e9f | refs/heads/master | 1,592,036,508,364 | 1,545,093,958,000 | 1,545,093,958,000 | 75,436,854 | 0 | 0 | null | 1,480,718,780,000 | 1,480,718,780,000 | null | UTF-8 | Lean | false | false | 13,878 | hlean | /-
Copyright (c) 2015 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn, Jakob von Raumer
-/
import ..iso types.pi
open function category eq prod prod.ops equiv is_equiv sigma sigma.ops is_trunc funext iso pi
structure functor (C D : ... |
c56afd4d327fef1699beb09621909acd96feee1e | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /tests/compiler/phashmap2.lean | 6285c13184704a0a27ecc9fc73b5b7298bed5c7e | [
"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 | 1,572 | lean | import Std.Data.PersistentHashMap
import Lean.Data.Format
open Lean Std Std.PersistentHashMap
abbrev Map := PersistentHashMap Nat Nat
partial def formatMap : Node Nat Nat → Format
| Node.collision keys vals _ => Format.sbracket $
keys.size.fold
(fun i fmt =>
let k := keys.get! i;
let v := vals.get... |
85c207b198b58280cb7f9af4d5b3a3a2a878f070 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/crashDiv0.lean | 2d487f44c5b5798cf29618aaa0108b5a342f1879 | [
"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 | 30 | lean | #eval (2147483648 % 0) + (-0)
|
386c77ce138dfe151511b5af9b36226e6e77feed | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/measure_theory/probability_mass_function.lean | 925e323d12f09da8ec415efaa128f5dcdf809e92 | [
"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 | 6,028 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Johannes Hölzl
-/
import topology.instances.ennreal
/-!
# Probability mass functions
This file is about probability mass functions or discrete probability measures:
a function `α → ℝ≥... |
c28fea5d3e69153d4287c3f5c6e0846675ea9ece | cb3da1b91380e7462b579b426a278072c688954a | /src/playground.lean | 03dcc7a80c8b7b68595b04763561acf8564c194c | [] | no_license | hcheval/tikhonov-mann | 35c93e46a8287f6479a848a9d4f02013e0bc2035 | 6ab7fcefe9e1156c20bd5d1998a7deabd1eeb018 | refs/heads/master | 1,689,232,126,344 | 1,630,182,255,000 | 1,630,182,255,000 | 399,859,996 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,981 | lean | import tactic
import data.real.basic
import topology.metric_space.basic
open_locale big_operators
#print finset.sum_mono_set_of_nonneg
open finset (range)
example (n m : ℕ) (h : n ≤ m) : finset.range n ≤ finset.range m := finset.range_mono h
lemma nonneg_sub_of_nonneg_sum {x : ℕ → ℝ} {n j : ℕ} (x_nonneg : ∀ i, ... |
675d1888bff891e251cf28d2fc22c8d7bc9acb32 | 137c667471a40116a7afd7261f030b30180468c2 | /src/analysis/calculus/fderiv_symmetric.lean | 15f7100ce6d6f9dbb737220a65931be6adb36d5a | [
"Apache-2.0"
] | permissive | bragadeesh153/mathlib | 46bf814cfb1eecb34b5d1549b9117dc60f657792 | b577bb2cd1f96eb47031878256856020b76f73cd | refs/heads/master | 1,687,435,188,334 | 1,626,384,207,000 | 1,626,384,207,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 19,496 | lean | /-
Copyright (c) 2021 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import analysis.calculus.deriv
import analysis.convex.topology
import analysis.calculus.mean_value
/-!
# Symmetry of the second derivative
We show that, over ... |
4d9aefd406e82c6d7db460b28aeaaa764f22f093 | 75db7e3219bba2fbf41bf5b905f34fcb3c6ca3f2 | /library/data/pnat.lean | 8c90792bd474de08d839830feb2448fd3348beef | [
"Apache-2.0"
] | permissive | jroesch/lean | 30ef0860fa905d35b9ad6f76de1a4f65c9af6871 | 3de4ec1a6ce9a960feb2a48eeea8b53246fa34f2 | refs/heads/master | 1,586,090,835,348 | 1,455,142,203,000 | 1,455,142,277,000 | 51,536,958 | 1 | 0 | null | 1,455,215,811,000 | 1,455,215,811,000 | null | UTF-8 | Lean | false | false | 12,725 | lean | /-
Copyright (c) 2015 Robert Y. Lewis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Robert Y. Lewis
Basic facts about the positive natural numbers.
Developed primarily for use in the construction of ℝ. For the most part, the only theorems here
are those needed for t... |
3eddd95ab99f2d54578f0b07fcf8e2518ad8d080 | 5abe9de35738a0e2931cac47648658509f165c1e | /Prova_em_Lean/Exercicios_a_c_d_e.lean | 4eea92561c6dff409a2fd9af890a740c16f00146 | [] | no_license | AlessandroDangelo/Matem-tica-Discreta-1 | 2d827d50d5c48144e4783e85af6e87d1a515b0b5 | b154612d20d88a9fb173a238aa2a9f8e5375d9f7 | refs/heads/main | 1,680,075,356,062 | 1,617,378,986,000 | 1,617,378,986,000 | 354,065,141 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 586 | lean | variables P Q S T R : Prop.
lemma exA (H1 : (P ∧ Q) ∧ R)
(H2 : S ∧ T) : Q ∧ S :=
and.intro -- Q ∧ S
(and.elim_right --Q
(and.elim_left H1))
(and.elim_left H2). -- S
lemma exC (H1 : P)
(H2 : P →(P → Q)) : Q :=
show Q,
from (H2... |
e96d9628e09de6153c7e0fcb09264c0af4e7929b | c777c32c8e484e195053731103c5e52af26a25d1 | /src/data/int/interval.lean | 4856c9e4000093df436a4d5e60f4116d90e7c684 | [
"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 | 7,035 | 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 algebra.char_zero.lemmas
import order.locally_finite
import data.finset.locally_finite
/-!
# Finite intervals of integers
> THIS FILE IS SYNCHRONIZED WITH MATHLI... |
77f89eabf3ba979a46e6383422a6ab1693967e8d | 94e33a31faa76775069b071adea97e86e218a8ee | /src/geometry/manifold/smooth_manifold_with_corners.lean | 8c6bf28da0a37d9855db99ae4dec9af670476df8 | [
"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 | 42,081 | 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.cont_diff
import geometry.manifold.charted_space
/-!
# Smooth manifolds (possibly with boundary or corners)
A smooth manifold is a ma... |
5a3bbcbe8361d2c068cd7c444d338be98e017b3b | ad0c7d243dc1bd563419e2767ed42fb323d7beea | /data/nat/gcd.lean | d982fcfb84d1441eaaddb0df4a0d4a34b9ae69db | [
"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 | 11,431 | lean | /-
Copyright (c) 2014 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Leonardo de Moura
Definitions and properties of gcd, lcm, and coprime.
-/
import data.nat.basic
namespace nat
/- gcd -/
theorem gcd_dvd (m n : ℕ) : (gcd m n ∣ m) ∧ (g... |
9771c8396a66a58b88acde4de747fe27e7e54c4c | 66a6486e19b71391cc438afee5f081a4257564ec | /choice.hlean | 79c6f9fa8d5c819ba979188dcdbecda8e75a0cfe | [
"Apache-2.0"
] | permissive | spiceghello/Spectral | c8ccd1e32d4b6a9132ccee20fcba44b477cd0331 | 20023aa3de27c22ab9f9b4a177f5a1efdec2b19f | refs/heads/master | 1,611,263,374,078 | 1,523,349,717,000 | 1,523,349,717,000 | 92,312,239 | 0 | 0 | null | 1,495,642,470,000 | 1,495,642,470,000 | null | UTF-8 | Lean | false | false | 3,389 | hlean | import types.trunc types.sum types.lift types.unit
open pi prod sum unit bool trunc is_trunc is_equiv eq equiv lift pointed
namespace choice
-- the following brilliant name is from Agda
definition unchoose [unfold 4] (n : ℕ₋₂) {X : Type} (A : X → Type) : trunc n (Πx, A x) → Πx, trunc n (A x) :=
trunc.elim (λf x, tr ... |
682c0488a169b11f8688041469ad6c6e8024f477 | 47181b4ef986292573c77e09fcb116584d37ea8a | /src/for_mathlib/padic_norm.lean | 7d26ae902fea94448757b04b3d584da531eeade7 | [
"MIT"
] | permissive | RaitoBezarius/berkovich-spaces | 87662a2bdb0ac0beed26e3338b221e3f12107b78 | 0a49f75a599bcb20333ec86b301f84411f04f7cf | refs/heads/main | 1,690,520,666,912 | 1,629,328,012,000 | 1,629,328,012,000 | 332,238,095 | 4 | 0 | MIT | 1,629,312,085,000 | 1,611,414,506,000 | Lean | UTF-8 | Lean | false | false | 384 | lean | import data.nat.basic
import data.nat.prime
import number_theory.padics.padic_norm
theorem padic_norm_primes {p q: ℕ} [p_prime: fact (nat.prime p)] [q_prime: fact (nat.prime q)]
(neq: p ≠ q): padic_norm p q = 1 :=
begin
have p: padic_val_rat p q = 0,
exact_mod_cast @padic_val_nat_primes p q p_prime q_prime neq,
... |
9268e0730248a9b63225a448d16663db91c47514 | c777c32c8e484e195053731103c5e52af26a25d1 | /src/order/upper_lower/basic.lean | d95fe66e45e026b611033d0d92f90fcbd5259023 | [
"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 | 44,392 | lean | /-
Copyright (c) 2022 Yaël Dillies, Sara Rousta. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yaël Dillies, Sara Rousta
-/
import data.set_like.basic
import data.set.intervals.ord_connected
import data.set.intervals.order_iso
/-!
# Up-sets and down-sets
> THIS FILE... |
ef5d906e5f03e7f54518393536ec1d1abd90b15b | f70b31f6396d12f83817534a1579ad4102d34497 | /checker.lean | 097315193ff4fd367ba8973ad8e8493397c2e1ec | [] | no_license | asi1024/topprover-lean-example | cf3eeb017ebfc5547c56d41f490b471d54783171 | 3507da918fe235599776f6367e2603c0375e00e0 | refs/heads/master | 1,609,053,679,942 | 1,580,697,001,000 | 1,580,697,001,000 | 237,811,882 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 90 | lean | import .problem
import .solution
theorem checker: prob :=
begin
exact solution
end
|
46fb8c8d430f81f60c6ec17304f5059b5ce881a4 | 3dd1b66af77106badae6edb1c4dea91a146ead30 | /tests/lean/run/tactic1.lean | c7d76b4727bdd91bb04a62123512dd2a9f08d99f | [
"Apache-2.0"
] | permissive | silky/lean | 79c20c15c93feef47bb659a2cc139b26f3614642 | df8b88dca2f8da1a422cb618cd476ef5be730546 | refs/heads/master | 1,610,737,587,697 | 1,406,574,534,000 | 1,406,574,534,000 | 22,362,176 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 94 | lean | import standard
using tactic
theorem tst {A B : Prop} (H1 : A) (H2 : B) : A
:= by assumption
|
9c2f6505453285940b5ca671b928cb605f74b370 | bbecf0f1968d1fba4124103e4f6b55251d08e9c4 | /src/data/nat/upto.lean | 279afbbaafd135eac0d71de77a4e4f149cc8d48d | [
"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 | 2,378 | 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 data.nat.basic
/-!
# `nat.upto`
`nat.upto p`, with `p` a predicate on `ℕ`, is a subtype of elements `n : ℕ` such that no value
(strictly) below `n` satisfies `p`.
... |
64abe02ec558d6846334d57408fe10134748b156 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/group_theory/perm/sign.lean | 56ab7238c087f5e357bebb9101dac8771c081dd8 | [
"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 | 31,114 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes
-/
import data.fintype.basic
import data.finset.sort
import data.nat.parity
import group_theory.perm.support
import group_theory.order_of_element
import tactic.norm_swap
imp... |
dad8177800f4b20e6f68ff4082c7a6ffd502622c | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/data/subtype.lean | ac204394899cf60c78f22abfc83e19ac79f769e9 | [
"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 | 8,254 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
-/
import logic.function.basic
import tactic.ext
import tactic.simps
/-!
# Subtypes
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> https://github.com/leanprover-communit... |
b096148cf8c0bc57a9c57bf8624bcdea253a562a | df7bb3acd9623e489e95e85d0bc55590ab0bc393 | /lean/love01_definitions_and_statements_homework_sheet.lean | ee33c4e7ce40dc75472349497e84dd7915896359 | [] | no_license | MaschavanderMarel/logical_verification_2020 | a41c210b9237c56cb35f6cd399e3ac2fe42e775d | 7d562ef174cc6578ca6013f74db336480470b708 | refs/heads/master | 1,692,144,223,196 | 1,634,661,675,000 | 1,634,661,675,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,706 | lean | import .love01_definitions_and_statements_demo
/- # LoVe Homework 1: Definitions and Statements
Homework must be done individually.
Replace the placeholders (e.g., `:= sorry`) with your solutions. -/
set_option pp.beta true
set_option pp.generalized_field_notation false
namespace LoVe
/- ## Question 1 (1 point... |
d2dd1323d712ff52d66dff11597398e237556edd | fef48cac17c73db8662678da38fd75888db97560 | /src/fib_mod.lean | 33dc3e2a8827408df21250b2e905a52c91d8845c | [] | no_license | kbuzzard/lean-squares-in-fibonacci | 6c0d924f799d6751e19798bb2530ee602ec7087e | 8cea20e5ce88ab7d17b020932d84d316532a84a8 | refs/heads/master | 1,584,524,504,815 | 1,582,387,156,000 | 1,582,387,156,000 | 134,576,655 | 3 | 1 | null | 1,541,538,497,000 | 1,527,083,406,000 | Lean | UTF-8 | Lean | false | false | 3,906 | lean | import definitions
import data.list.basic
definition fib_mod (m : ℕ) : ℕ → ℕ
| 0 := 0 % m
| 1 := 1 % m
| (n + 2) := ( (fib_mod n) + (fib_mod (n + 1)) ) % m
def luc_mod (m : ℕ) : ℕ → ℕ
| 0 := 2 % m
| 1 := 1 % m
| (n + 2) := ( (luc_mod n) + (luc_mod (n + 1)) ) % m
theorem luc_mod_is_luc (m : ℕ) : ∀ r : ℕ,
luc_mod m ... |
cd43cdf6d6adfea9b42c1cea6aa4300566576b09 | 432d948a4d3d242fdfb44b81c9e1b1baacd58617 | /src/measure_theory/measurable_space.lean | 837e73c7995e6cf4706c32e6eb11f5219c743b0d | [
"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 | 53,741 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro
-/
import data.set.disjointed
import data.set.countable
import data.indicator_function
import data.equiv.encodable.lattice
import data.tprod
import order... |
332ecd82572d5bb652402450504f10975a03e08a | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/bad_structures.lean | fe86c887c83f1c1cca96f5cf5976b280a1c127ca | [
"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 | 357 | lean | prelude namespace foo structure prod.{l} (A : Type.{l}) (B : Type.{l}) :=
(pr1 : A) (pr2 : B)
structure prod.{l} (A : Type.{l}) (B : Type.{l}) : Type :=
(pr1 : A) (pr2 : B)
structure prod.{l} (A : Type.{l}) (B : Type.{l}) : Type.{l} :=
(pr1 : A) (pr2 : B)
structure prod2.{l} (A : Type.{l}) (B : Type.{l}) : Type.{max... |
5120aafb304c3655231612d2073c5220b457c236 | df7bb3acd9623e489e95e85d0bc55590ab0bc393 | /lean/lovelib.lean | eadde76649c501e2bbfe7e5ffc3dfe11e6de96ed | [] | no_license | MaschavanderMarel/logical_verification_2020 | a41c210b9237c56cb35f6cd399e3ac2fe42e775d | 7d562ef174cc6578ca6013f74db336480470b708 | refs/heads/master | 1,692,144,223,196 | 1,634,661,675,000 | 1,634,661,675,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 6,782 | lean | import algebra
import data.real.basic
import data.vector
import tactic.explode
import tactic.find
import tactic.induction
import tactic.linarith
import tactic.rcases
import tactic.rewrite
import tactic.ring_exp
import tactic.tidy
import tactic.where
/- # LoVe Library
This files contains a few extensions on top of Le... |
73ca8fb7a1541801f468a67f9b76017356f1dd3b | 8d65764a9e5f0923a67fc435eb1a5a1d02fd80e3 | /src/field_theory/polynomial_galois_group.lean | e1e4775ecccbbe6b03116f142bb0160e4e2f475c | [
"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 | 21,450 | lean | /-
Copyright (c) 2020 Thomas Browning, Patrick Lutz. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Thomas Browning, Patrick Lutz
-/
import analysis.complex.polynomial
import field_theory.galois
import group_theory.perm.cycle_type
import ring_theory.eisenstein_criteri... |
c06411c3f38c052d0b3454c7c16e7b71ef7baa2b | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /tests/lean/run/def1.lean | 5f089f6c50afe7ba885db9105f87fac38a742b88 | [
"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 | 367 | lean |
namespace tst
variable {A : Type}
attribute [reducible]
definition foo₁ (a b c : A) (H₁ : a = b) (H₂ : c = b) : a = c :=
eq.trans H₁ (eq.symm H₂)
lemma foo₂ (f : A → A → A) (a b c : A) (H₁ : a = b) (H₂ : c = b) : f a = f c :=
eq.symm H₂ ▸ H₁ ▸ rfl
check foo₁
check foo₂
end tst
check tst.foo₁
check tst.foo₂
print ... |
b8c0e0230f3d7933e21bc0e8f47082c10fcf7b3e | 7cef822f3b952965621309e88eadf618da0c8ae9 | /src/tactic/interactive.lean | 17b0c8cd45c5c19d00dca57a88a6310a1b396853 | [
"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 | 30,241 | lean |
/-
Copyright (c) 2017 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Simon Hudon, Sebastien Gouezel, Scott Morrison
-/
import tactic.lint
open lean
open lean.parser
local postfix `?`:9001 := optional
local postfix *:9001 := many
name... |
92ea823555ada10268db138aa690618c3199d07c | 12dabd587ce2621d9a4eff9f16e354d02e206c8e | /world02/level06.lean | aa971556194ccfac8010370ed8452d3a1580badf | [] | no_license | abdelq/natural-number-game | a1b5b8f1d52625a7addcefc97c966d3f06a48263 | bbddadc6d2e78ece2e9acd40fa7702ecc2db75c2 | refs/heads/master | 1,668,606,478,691 | 1,594,175,058,000 | 1,594,175,058,000 | 278,673,209 | 0 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 123 | lean | lemma add_right_comm (a b c : mynat) : a + b + c = a + c + b :=
begin
rw add_assoc,
rw add_assoc,
rw add_comm b,
refl,
end
|
3def084a6add64646b2be5f8efc491c9ffc12bb5 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/linear_algebra/contraction.lean | cbaa519592cdfd80d2ae4b3ea5d37e5833f1befa | [
"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 | 12,321 | lean | /-
Copyright (c) 2020 Oliver Nash. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Oliver Nash, Antoine Labelle
-/
import linear_algebra.dual
import linear_algebra.matrix.to_lin
/-!
# Contractions
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file r... |
654de50b80145af7df1eefa843e3474e949289f6 | 9dd3f3912f7321eb58ee9aa8f21778ad6221f87c | /library/tools/super/misc_preprocessing.lean | 8689a3275838ba548a7c23ddd1a6d76a17f6da6e | [
"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 | 1,156 | 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
open expr list monad
namespace super
meta def is_taut (c : clause) : tactic bool := do
qf ← c^.open_constn c^.num_quants,
return $ list.b... |
78648d45c76f3dd2aed3e93a289e787c1928a410 | 592ee40978ac7604005a4e0d35bbc4b467389241 | /Library/generated/mathscheme-lean/ComplementSig.lean | 998e2ec617634d168e00bf804ec7e74eef7dadc7 | [] | no_license | ysharoda/Deriving-Definitions | 3e149e6641fae440badd35ac110a0bd705a49ad2 | dfecb27572022de3d4aa702cae8db19957523a59 | refs/heads/master | 1,679,127,857,700 | 1,615,939,007,000 | 1,615,939,007,000 | 229,785,731 | 4 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 5,379 | lean | import init.data.nat.basic
import init.data.fin.basic
import data.vector
import .Prelude
open Staged
open nat
open fin
open vector
section ComplementSig
structure ComplementSig (A : Type) : Type :=
(compl : (A → A))
open ComplementSig
structure Sig (AS : Type) : Type :=
(complS : (AS → AS... |
2c68ed153fa6d46680fbadb978dafe746e1905c1 | 8e2026ac8a0660b5a490dfb895599fb445bb77a0 | /library/init/meta/expr.lean | 525871af5fb8273c3dc31de8b96e9997190d6f2d | [
"Apache-2.0"
] | permissive | pcmoritz/lean | 6a8575115a724af933678d829b4f791a0cb55beb | 35eba0107e4cc8a52778259bb5392300267bfc29 | refs/heads/master | 1,607,896,326,092 | 1,490,752,175,000 | 1,490,752,175,000 | 86,612,290 | 0 | 0 | null | 1,490,809,641,000 | 1,490,809,641,000 | null | UTF-8 | Lean | false | false | 11,271 | 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.level init.category.monad
structure pos :=
(line : nat)
(column : nat)
instance : decidable_eq pos
| ⟨l₁, c₁⟩ ⟨l₂, c₂⟩ := if h₁... |
8d0bc85affea63d3c531a63dcbaf19b9674fc99f | ce4db867008cc96ee6ea6a34d39c2fa7c6ccb536 | /src/On.lean | 5409373c3a8cea4559727104efc3f67befc6487a | [] | 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 | 13,104 | lean | import tactic
import topology.instances.real
import .tokens
import .compute
import .commun
namespace tactic
setup_tactic_parser
@[derive has_reflect]
meta inductive On_args
| exct_aply : pexpr → list pexpr → On_args -- On conclut par ... (appliqué à ...)
| aply : pexpr → On_args -- On applique ...
| apl... |
8c04169175c8a8e4f9e3fc0c8787a2ab30eb4e58 | 35677d2df3f081738fa6b08138e03ee36bc33cad | /src/tactic/where.lean | e47ee13d957eb84e24b43afd68f1351b6a01ce18 | [
"Apache-2.0"
] | permissive | gebner/mathlib | eab0150cc4f79ec45d2016a8c21750244a2e7ff0 | cc6a6edc397c55118df62831e23bfbd6e6c6b4ab | refs/heads/master | 1,625,574,853,976 | 1,586,712,827,000 | 1,586,712,827,000 | 99,101,412 | 1 | 0 | Apache-2.0 | 1,586,716,389,000 | 1,501,667,958,000 | Lean | UTF-8 | Lean | false | false | 8,760 | lean | /-
Copyright (c) 2019 Keeley Hoek. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Keeley Hoek
-/
import data.list.defs tactic.core
/-!
# The `where` command
When working in a Lean file with namespaces, parameters, and variables,
it can be confusing to identify what ... |
f2f9b966cf28fc1a234facf8802e5cc330a3a26d | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/has_sizeof_indices.lean | e9d987a55bf44ecbffe604cfeac376b3ff54b533 | [
"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 | 456 | lean | universes u
inductive foo : nat → Type
| baz (n : nat) : foo n → foo (nat.succ n)
def foo.size (α β : Type u) (n a : ℕ) : has_sizeof (foo a) :=
by tactic.mk_has_sizeof_instance
inductive bla : nat → bool → Type
| mk : bla 0 ff
| baz (n : nat) : bla n ff → bla (nat.succ n) tt
| boo (n : nat) : bla n tt → bla (nat.suc... |
07b13f3a5396d97a1777f0f434663dadf0a17f2f | 05f637fa14ac28031cb1ea92086a0f4eb23ff2b1 | /tests/lean/induction1.lean | 7b32970ee35af59e70ca24116b8716d7c1d8dc81 | [
"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 | 1,249 | lean | import macros -- loads the λ, λ, obtain macros
using Nat -- using the Nat namespace (it allows us to suppress the Nat:: prefix)
axiom Induction : ∀ P : Nat → Bool, P 0 → (∀ n, P n → P (n + 1)) → ∀ n, P n.
-- induction on n
theorem Comm1 : ∀ n m, n + m = m + n
:= Induction
_ -- I use a placeholder... |
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