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8e0e80da113a29000fe31ef6acb0213be6f49188 | 8b9f17008684d796c8022dab552e42f0cb6fb347 | /hott/hit/pushout.hlean | 1f0ffeaaefdc786b79e5ccd8be680dbd6d7a21c0 | [
"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 | 4,189 | hlean | /-
Copyright (c) 2015 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Module: hit.pushout
Authors: Floris van Doorn
Declaration of the pushout
-/
import .type_quotient
open type_quotient eq sum equiv
namespace pushout
section
parameters {TL BL TR : Type} ... |
90ea4b3eb088bc18b7f8b91d032966a35c3cd03b | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/structure_with_index_error.lean | c913ef4a2e4912e80056e84808792a4d491f39a9 | [
"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 | 46 | lean | structure foo : true → Type := (bar : true)
|
40c551a5d19140390ae9fc11b0e791969e0b2c29 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/run/rewriter1.lean | 92c368b7bcfb07a29ed0fe2f11f09306b5cd9fc3 | [
"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 | 207 | lean | import data.nat
open algebra
theorem test {A : Type} [s : comm_ring A] (a b c : A) : a + b + c = a + c + b :=
begin
rewrite [add.assoc, {b + _}add.comm, -add.assoc]
end
reveal test
print definition test
|
c90f7932bf30edd80c283f24731bd3e71c030bd5 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/data/qpf/multivariate/constructions/cofix_auto.lean | 8516a731015d90e1d5ca2809f72f059b1fa86ac8 | [] | 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 | 14,559 | lean | /-
Copyright (c) 2018 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Jeremy Avigad, Simon Hudon
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.control.functor.multivariate
import Mathlib.data.pfunctor.multivariate.basic
impo... |
364bb1dd089f1a0edec46d65126aafb937a19739 | 78630e908e9624a892e24ebdd21260720d29cf55 | /src/logic_propositional/prop_13.lean | 7ca53b72b5a513cb231daecb9be2e2ccd69c022c | [
"CC0-1.0"
] | permissive | tomasz-lisowski/lean-logic-examples | 84e612466776be0a16c23a0439ff8ef6114ddbe1 | 2b2ccd467b49c3989bf6c92ec0358a8d6ee68c5d | refs/heads/master | 1,683,334,199,431 | 1,621,938,305,000 | 1,621,938,305,000 | 365,041,573 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 291 | lean | namespace prop_13
variables A B C : Prop
theorem prop_13 : (A → (B → C)) → ((A ∧ B) → C) :=
assume h1: A → (B → C),
assume h2: A ∧ B,
have h3: A, from and.left h2,
have h4: B, from and.right h2,
have h5: B → C, from h1 h3,
show C, from h5 h4
-- end namespace
end prop_13 |
2d54f4dc7c369e40fce870935d5ee469347eda6a | 8cb37a089cdb4af3af9d8bf1002b417e407a8e9e | /library/init/data/nat/basic.lean | 9e468e48ce120d86f347a7bad5d2dd124cd59546 | [
"Apache-2.0"
] | permissive | kbuzzard/lean | ae3c3db4bb462d750dbf7419b28bafb3ec983ef7 | ed1788fd674bb8991acffc8fca585ec746711928 | refs/heads/master | 1,620,983,366,617 | 1,618,937,600,000 | 1,618,937,600,000 | 359,886,396 | 1 | 0 | Apache-2.0 | 1,618,936,987,000 | 1,618,936,987,000 | null | UTF-8 | Lean | false | false | 5,949 | lean | /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn, Leonardo de Moura
-/
prelude
import init.logic
notation `ℕ` := nat
namespace nat
inductive less_than_or_equal (a : ℕ) : ℕ → Prop
| refl : less_than_or_equal... |
8db65b346e6e3b70accec2762080d26d2c45992d | 624f6f2ae8b3b1adc5f8f67a365c51d5126be45a | /tests/compiler/reusebug.lean | 1d02a11a5e410c729ad0491aa9cc5b6d9a4ce53f | [
"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 | 723 | lean | inductive Expr
| Val : Int → Expr
| Var : String → Expr
| Add : Expr → Expr → Expr
| Mul : Expr → Expr → Expr
open Expr
def Expr.toString : Expr → String
| Val n => toString n
| Var x => x
| Add f g => "(" ++ Expr.toString f ++ " + " ++ Expr.toString g ++ ")"
| Mul f g => "(" ++ Expr.toString f ++ " * " ++ Ex... |
365508a8ffaa5b1065174c45d88c4a9b94884f11 | 80cc5bf14c8ea85ff340d1d747a127dcadeb966f | /src/data/int/cast.lean | 3a1e6bf73cd109a48e325f9efb33d28d7eb1a7ee | [
"Apache-2.0"
] | permissive | lacker/mathlib | f2439c743c4f8eb413ec589430c82d0f73b2d539 | ddf7563ac69d42cfa4a1bfe41db1fed521bd795f | refs/heads/master | 1,671,948,326,773 | 1,601,479,268,000 | 1,601,479,268,000 | 298,686,743 | 0 | 0 | Apache-2.0 | 1,601,070,794,000 | 1,601,070,794,000 | null | UTF-8 | Lean | false | false | 8,288 | lean | /-
Copyright (c) 2017 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
import data.int.basic
import data.nat.cast
open nat
namespace int
/- cast (injection into groups with one) -/
@[simp, push_cast] theorem nat_cast_eq_coe_nat : ∀ n... |
b7bdffae0fee16600f8f7e31054986cfd1c75ef5 | 26ac254ecb57ffcb886ff709cf018390161a9225 | /src/data/sigma/basic.lean | a0c0ac84784fcb6727117d4e5dcb82a5702e8606 | [
"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 | 4,362 | 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 tactic.ext
section sigma
variables {α : Type*} {β : α → Type*}
instance [inhabited α] [inhabited (β (default α))] : inhabited (sigma β) :=
⟨⟨defau... |
8d48fd2ae7d5bca51f2410444057c03fbc3c7d22 | 2eab05920d6eeb06665e1a6df77b3157354316ad | /src/group_theory/schur_zassenhaus.lean | d413d38de92089a2128a593a7118e2c8dc251b64 | [
"Apache-2.0"
] | permissive | ayush1801/mathlib | 78949b9f789f488148142221606bf15c02b960d2 | ce164e28f262acbb3de6281b3b03660a9f744e3c | refs/heads/master | 1,692,886,907,941 | 1,635,270,866,000 | 1,635,270,866,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 8,784 | lean | /-
Copyright (c) 2021 Thomas Browning. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Thomas Browning
-/
import group_theory.complement
import group_theory.index
/-!
# Complements
In this file we prove the Schur-Zassenhaus theorem for abelian normal subgroups.
## M... |
4235608b6bad210fd7e5275c7f3264b7fdcfaac6 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /library/data/rat/order.lean | d5632a36d9b06c867fb248f807b081bae89f3be6 | [
"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 | 16,077 | lean | /-
Copyright (c) 2015 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Jeremy Avigad
Adds the ordering, and instantiates the rationals as an ordered field.
-/
import data.int algebra.ordered_field algebra.group_power data.rat.basic
open quot eq.ops
/- the... |
1bc8dbf8ba9b23e6b74b71150d0c25db2686e38d | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/analysis/special_functions/bernstein.lean | 05a68df3c1748133b9047e0711f1bb7933b383e9 | [
"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 | 12,975 | 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 ring_theory.polynomial.bernstein
import topology.continuous_function.polynomial
import algebra.floor
import analysis.specific_limits
/-!
# Bernstein approxima... |
6f2772640b70097fdb21f0ac02779ffa40a34450 | 11e28114d9553ecd984ac4819661ffce3068bafe | /src/writer_t.lean | 09f343717686a0859bdb1d9eb6633c30d66948da | [
"MIT"
] | permissive | EdAyers/lean-subtask | 9a26eb81f0c8576effed4ca94342ae1281445c59 | 04ac5a6c3bc3bfd190af4d6dcce444ddc8914e4b | refs/heads/master | 1,586,516,665,621 | 1,558,701,948,000 | 1,558,701,948,000 | 160,983,035 | 4 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 1,023 | lean | /- Author: E.W.Ayers © 2019 -/
universes u v
/-- Writer monad transformer. -/
structure writer_t (σ : Type u) (m : Type u → Type v) (α : Type u) : Type (max u v) :=
(run : m (α × σ))
attribute [pp_using_anonymous_constructor] writer_t
namespace writer_t
variables {σ : Type u} [monoid σ] {m : Type u → Type v} [m... |
92404f041ee4849a1b5893cee500c251d6f49e7c | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/ring_theory/power_basis.lean | 25a6dd9ded971bfb57a4aae66e83295d13737ee4 | [
"Apache-2.0"
] | permissive | jjgarzella/mathlib | 96a345378c4e0bf26cf604aed84f90329e4896a2 | 395d8716c3ad03747059d482090e2bb97db612c8 | refs/heads/master | 1,686,480,124,379 | 1,625,163,323,000 | 1,625,163,323,000 | 281,190,421 | 2 | 0 | Apache-2.0 | 1,595,268,170,000 | 1,595,268,169,000 | null | UTF-8 | Lean | false | false | 16,765 | lean | /-
Copyright (c) 2020 Anne Baanen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Anne Baanen
-/
import field_theory.minpoly
/-!
# Power basis
This file defines a structure `power_basis R S`, giving a basis of the
`R`-algebra `S` as a finite list of powers `1, x, ...... |
4600d67d916a40ffe9474f5ac465e85fa8f31385 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/linear_algebra/basic.lean | 2b92e0d84f60acd0abe5dc1c14c944df2b48e39d | [] | 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 | 159,328 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro, Kevin Buzzard, Yury Kudryashov
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.algebra.big_operators.pi
import Mathlib.alg... |
7e00322ac966af3c77a702d3428561b41080749d | 164ee58ef27471e4a1abc106f8bd9d0a7a5eca18 | /src/metric_stuff.lean | 4e942a3d9487711674128a7344b55eb53d6e7ae8 | [] | no_license | carlosa95silva/project | 3d591a3326c9209042e7b0699cdb31f1a79f96fb | 90fe846b85d46f56160a9ec14c8db5d1f5fc36ee | refs/heads/main | 1,690,681,353,273 | 1,631,390,926,000 | 1,631,390,926,000 | 405,466,514 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,692 | lean | import topology.metric_space.basic
noncomputable theory
open topological_space filter
universe u -- the universe we work in
variable {X : Type u} -- the underlying set for our space
/-- input a pseudo_metric_space and a set. Returns a collection of open sets centered on that set. -/
def base_of_metric_a... |
34cb932a26a0fead00e1dc7b1f49c088fa609313 | 1abd1ed12aa68b375cdef28959f39531c6e95b84 | /src/group_theory/complement.lean | dfd6a6208a15428b775b9c6cf0e759add9886225 | [
"Apache-2.0"
] | permissive | jumpy4/mathlib | d3829e75173012833e9f15ac16e481e17596de0f | af36f1a35f279f0e5b3c2a77647c6bf2cfd51a13 | refs/heads/master | 1,693,508,842,818 | 1,636,203,271,000 | 1,636,203,271,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 9,534 | lean | /-
Copyright (c) 2021 Thomas Browning. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Thomas Browning
-/
import group_theory.group_action
import group_theory.order_of_element
import group_theory.quotient_group
/-!
# Complements
In this file we define the complement ... |
7dbd1bf13cde805ccb891638683373ff07c7de5a | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/tactic/cache.lean | 36592828335f52965457a4e250f517397a7196d8 | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 2,340 | 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 tactic.doc_commands
/-!
# Instance cache tactics
For performance reasons, Lean does not automatically update its database
of class instances during a proof. T... |
b919f1fe91e4f2290840d0d10bc96fd0841444a7 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/number_theory/cyclotomic/basic.lean | cc16b9b61dbfc5d73c87f5118ca27cf551671f63 | [
"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 | 32,102 | 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 ring_theory.polynomial.cyclotomic.roots
import number_theory.number_field.basic
import field_theory.galois
/-!
# Cyclotomic extensions
> THIS FILE IS SYNCH... |
ea1826f3133a6e530c793c4be5da25703d7bd62c | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/synthPendingBug.lean | 17c9dd730eed6dcb14aa857dac595114d5d6f8fb | [
"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 | 431 | lean | inductive Nested
| nest (a : Array Nested) : Nested
class OfUnit (α : Type) where
ofUnit : Unit → Except String α
instance myArrayInst [OfUnit α] : OfUnit (Array α) where
ofUnit _ := Except.error ""
open OfUnit
partial def ofUnitNested (_ : Unit) : Except String Nested := do
let localinst : OfUnit Nested := ⟨o... |
acef516256c09988221468bdd2d6f9752fa402eb | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/matchOrIssue.lean | fd39f7cdf05b2d8396c58c89a10ff393b489ab41 | [
"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 | 411 | lean | inductive A : Type
| ctor : A → A
| inh
-- set_option trace.Elab true in
def f : A → A → Bool
| banana, a b | _, lol how => 1 + "test" + f1 -- Error
| _, _ => false
def g : A → A → Bool
| A.inh, _ | _, A.inh => true
| _, _ => false
example : g .inh (.ctor a) = true := rfl
example : g .inh .inh = true := rfl
example... |
54207b9071b19ec63a0376f9d5238fae9b0c1a9b | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/algebra/algebra/basic.lean | db3f2d6398c888eca6962064ffb47bb902e0c9f1 | [
"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 | 48,869 | lean | /-
Copyright (c) 2018 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau, Yury Kudryashov
-/
import tactic.nth_rewrite
import data.matrix.basic
import linear_algebra.tensor_product
import ring_theory.subring
import deprecated.subring
/-!
# Algebra ove... |
887064602da292579597cc7578d4cf8d6c900e0f | 6e41ee3ac9b96e8980a16295cc21f131e731884f | /hott/algebra/precategory/morphism.hlean | 3e21c1074158b2c35ef6132d10dfa0f348db9615 | [
"Apache-2.0"
] | permissive | EgbertRijke/lean | 3426cfa0e5b3d35d12fc3fd7318b35574cb67dc3 | 4f2e0c6d7fc9274d953cfa1c37ab2f3e799ab183 | refs/heads/master | 1,610,834,871,476 | 1,422,159,801,000 | 1,422,159,801,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 12,375 | hlean | -- Copyright (c) 2014 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 .basic
open eq precategory sigma sigma.ops equiv is_equiv function truncation
namespace morphism
variables {ob : Type} [C : preca... |
00b22c5009e87e2d0d8e5c3c48b6baac66835921 | a721fe7446524f18ba361625fc01033d9c8b7a78 | /src/principia/myint/induction.lean | 4b2f5a31cd2487b223e6034c5dfe27de4c5c4914 | [] | no_license | Sterrs/leaning | 8fd80d1f0a6117a220bb2e57ece639b9a63deadc | 3901cc953694b33adda86cb88ca30ba99594db31 | refs/heads/master | 1,627,023,822,744 | 1,616,515,221,000 | 1,616,515,221,000 | 245,512,190 | 2 | 0 | null | 1,616,429,050,000 | 1,583,527,118,000 | Lean | UTF-8 | Lean | false | false | 1,526 | lean | import .le
namespace hidden
namespace myint
open myring
open ordered_myring
theorem intduction (p : myint → Prop) :
p 0 → (∀ {n}, p n → p (n + 1)) → (∀ {n}, p n → p (n - 1)) →
∀ n, p n :=
begin
assume h0 hnext hprev,
intro n,
cases le_total_order (0: myint) n with h0n hn0, {
rw le_iff_exists_nat at h0n,
... |
79da2ac0fe2ed1d7d1c11e90993fc0fe6dafc96e | 1437b3495ef9020d5413178aa33c0a625f15f15f | /order/conditionally_complete_lattice.lean | d2d2200f679574e08b09c1092034a2110d1d542d | [
"Apache-2.0"
] | permissive | jean002/mathlib | c66bbb2d9fdc9c03ae07f869acac7ddbfce67a30 | dc6c38a765799c99c4d9c8d5207d9e6c9e0e2cfd | refs/heads/master | 1,587,027,806,375 | 1,547,306,358,000 | 1,547,306,358,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 32,536 | lean | /-
Copyright (c) 2018 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
Adapted from the corresponding theory for complete lattices.
Theory of conditionally complete lattices.
A conditionally complete lattice is a lattice in which ev... |
51212619b4770b106413ba56bb55caa7434bdad4 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/algebra/group_power/lemmas.lean | 142103b04c506b52f5a1c46fb58d9596382cdbc3 | [
"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 | 33,717 | lean | /-
Copyright (c) 2015 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Robert Y. Lewis
-/
import algebra.invertible
import algebra.group_power.ring
import data.int.cast
/-!
# Lemmas about power operations on monoids and groups
This file co... |
c336806de41738b0a1c0396e40cda31d03ac6774 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/crash.lean | 1130a7fe72feb10aac4e2e95b32ddaabe124fbc6 | [
"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 | 155 | lean | import logic
section
hypothesis P : Prop.
definition crash
:= assume H : P,
have H' : ¬ P,
from H,
_.
end
|
32bd2e0b81b1600aa92115f2c1dd0f7677e1bdaf | fe208a542cea7b2d6d7ff79f94d535f6d11d814a | /src/Dedekind_cuts/Alexandru.lean | f8f607e10bf5ee75a6292e271b6d769babc02f04 | [] | no_license | ImperialCollegeLondon/M1F_room_342_questions | c4b98b14113fe900a7f388762269305faff73e63 | 63de9a6ab9c27a433039dd5530bc9b10b1d227f7 | refs/heads/master | 1,585,807,312,561 | 1,545,232,972,000 | 1,545,232,972,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 9,047 | lean | import data.rat
import data.set.basic
import order.bounds
open classical
/-import order.bounds
import data.rat
class linear_order (α : Type)
is a structure (in fact a class) which looks like this:
There's a function
le : α → α → Prop
with notation ≤ ( type with \le )
There is also lt : α → α → Prop with notation ... |
34013e1f2db28ebff5df4f9f2518dfd0e812051d | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /test/refine_struct.lean | 579dc3b122055dcdf8f208f4b57147bec856e12d | [
"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 | 6,250 | lean | import tactic.interactive
import algebra.group.basic
/-!
`refine_struct` caused a variety of interesting problems,
which were identified in
https://github.com/leanprover-community/mathlib/pull/2251
and
https://leanprover.zulipchat.com/#narrow/stream/113488-general/topic/Need.20help.20with.20class.20instance.20resoluti... |
7a4626d9dab787b6335848cc79e4908ebfd3ffd6 | 5ca7b1b12d14c4742e29366312ba2c2ef8201b21 | /src/game/world6/level3.lean | 9cb6315d26c248ef42ebef0c0e01ff501ae3cb48 | [
"Apache-2.0"
] | permissive | MatthiasHu/natural_number_game | 2e464482ef3001863430b0336133b6697b275ba3 | 2d764f72669ae30861f6a1057fce0257f3e466c4 | refs/heads/master | 1,609,719,110,419 | 1,576,345,737,000 | 1,576,345,737,000 | 240,296,314 | 0 | 0 | Apache-2.0 | 1,581,608,357,000 | 1,581,608,356,000 | null | UTF-8 | Lean | false | false | 2,404 | lean | /-
# Proposition world.
## Level 3: `have`.
Say you have a whole bunch of propositions and implications between them,
and your goal is to build a certain proof of a certain proposition.
If it helps, you can build intermediate proofs of other propositions
along the way, using the `have` command. `have q : Q := ...` i... |
a267b84c2d71c2d77c93569ddee5f3884e600187 | ba4b63fe3410ccb8e043a57aa024ac63bf06961c | /src/groups.lean | 5a905c2318db1ca718593a9ad424e6d8e991f2cd | [] | no_license | digama0/lean-scratchpad | f30cd665037c226b63ef9933c8fa83e8770f7909 | fe7d6261d60769328e091a37dff7d456c57366b7 | refs/heads/master | 1,583,695,343,314 | 1,522,993,425,000 | 1,522,993,425,000 | 128,350,243 | 0 | 0 | null | 1,522,993,456,000 | 1,522,993,456,000 | null | UTF-8 | Lean | false | false | 4,994 | lean | import data.set.basic
import data.list
import algebra.group_power
open set
open function
local infix ` ^ ` := gpow
variables {α : Type} [group α]
def is_generating (S: set α) : Prop :=
∀ g : α, ∃ l : list α, g = list.prod l ∧ ∀ x ∈ l, x ∈ S ∨ x⁻¹ ∈ S
/-lemma group_generates_itself : is_generating (@univ α) | g :=... |
ab19f1ee1d9492dfa409583ac59aa3346c485c3c | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /tests/lean/run/meta_tac4.lean | c4aa19e37bb9c08f8b99b52ac13344b12d3aa5c8 | [
"Apache-2.0"
] | permissive | soonhokong/lean-osx | 4a954262c780e404c1369d6c06516161d07fcb40 | 3670278342d2f4faa49d95b46d86642d7875b47c | refs/heads/master | 1,611,410,334,552 | 1,474,425,686,000 | 1,474,425,686,000 | 12,043,103 | 5 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 674 | lean | open tactic name list
definition foo (a : nat) := a + 1 > 0
attribute [reducible]
definition boo (a : nat) := a + 1 > 0
example : ∀ (a b : nat), foo a → boo a → a + 1 > 0 → foo a :=
by do
intro_lst [`_, `_, `H1, `H2, `H3],
trace_state,
h1 ← get_local_type `H1,
h2 ← get_local_type `H2,
h3 ← get_loc... |
13b45e57b39562785734b79007173c0b5d3509e4 | acc85b4be2c618b11fc7cb3005521ae6858a8d07 | /data/nat/gcd.lean | bc13560de2dd2b7df1e437379d3bd28d0ef5fb6c | [
"Apache-2.0"
] | permissive | linpingchuan/mathlib | d49990b236574df2a45d9919ba43c923f693d341 | 5ad8020f67eb13896a41cc7691d072c9331b1f76 | refs/heads/master | 1,626,019,377,808 | 1,508,048,784,000 | 1,508,048,784,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 10,678 | 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
open well_founded decidable prod
namespace nat
/- gcd -/
theorem gcd_... |
3660f81adca5a8b6d21d3fa1cc398f46177359cb | 35677d2df3f081738fa6b08138e03ee36bc33cad | /src/topology/metric_space/baire.lean | 32c0dee49c01c7cb4236aad321d637b16b9538d1 | [
"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 | 15,211 | 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.basic analysis.specific_limits
/-!
# Baire theorem
In a complete metric space, a countable intersection of dense open subsets is... |
89fd683409451933adfefdb519ae6773a6df74e7 | ac1c2a2f522b0fdf854095ba00f882ca849669e7 | /library/init/meta/simp_tactic.lean | cfc74c5233483a6179ec3cdd0c003e9d6992582f | [
"Apache-2.0"
] | permissive | abliss/lean | b8b336abc8d50dbb0726dcff9dd16793c23bfbe1 | fb24cc99573c153f97a1951ee94bbbdda300b6be | refs/heads/master | 1,611,536,584,520 | 1,497,811,981,000 | 1,497,811,981,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 18,564 | 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.attribute init.meta.constructor_tactic
import init.meta.relation_tactics init.meta.occurrences
import init.data.op... |
59d3cc9d9db675c2c8f114ff8da90b5686fc61f8 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/algebra/module/linear_map.lean | a38d3cf1fd780daf8888aba29ac6f3f5bebc76d2 | [
"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 | 37,785 | lean | /-
Copyright (c) 2020 Anne Baanen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Nathaniel Thomas, Jeremy Avigad, Johannes Hölzl, Mario Carneiro, Anne Baanen,
Frédéric Dupuis, Heather Macbeth
-/
import algebra.hom.group
import algebra.hom.group_action
import algebra... |
5d49dd53620bb0577ab1419fce4971427c3baee6 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/tactic/lift_auto.lean | bb6893763e2df6a1959dcdea1d3f2b77bc1490eb | [] | no_license | AurelienSaue/Mathlib4_auto | f538cfd0980f65a6361eadea39e6fc639e9dae14 | 590df64109b08190abe22358fabc3eae000943f2 | refs/heads/master | 1,683,906,849,776 | 1,622,564,669,000 | 1,622,564,669,000 | 371,723,747 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 5,363 | 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 Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.tactic.rcases
import Mathlib.PostPort
universes u v l w
namespace Mathlib
/-!
# lif... |
e3dadc993c3f58e7305e5a8c6cbfe6b6a2becf39 | a76f677b87d42a9470ba3a0a78cfddd3063118e6 | /src/congruence/seg_lt.lean | f9ca1add740981b71b74f5d2fccc017823bd1761 | [] | no_license | Ja1941/hilberts-axioms | 50219c732ad5fa167408432e8c8baae259777a40 | 5b653a92e448b77da41c9893066b641bc4e6b316 | refs/heads/master | 1,693,238,884,856 | 1,635,702,120,000 | 1,635,702,120,000 | 385,546,384 | 9 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 5,455 | lean | /-
Copyright (c) 2021 Tianchen Zhao. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Tianchen Zhao
-/
import congruence.basic
/-!
# Segment orderness
This file defines how a segment is less than another and proves basic properties such as
transitivity and trichotomy.
... |
d7f8fb729ab82b7dca613f647989de98bddbc319 | 8b9f17008684d796c8022dab552e42f0cb6fb347 | /hott/init/equiv.hlean | 0e653471e5e900a47fa53b777eaabca820aba9fc | [
"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 | 11,801 | hlean | /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Module: init.equiv
Author: Jeremy Avigad, Jakob von Raumer
Ported from Coq HoTT
-/
prelude
import .path .function
open eq function
/- Equivalences -/
-- This is our definition of eq... |
6e0066ee973b64b9c75c7c84d2cb68b52057b389 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/data/nat/nth.lean | 89389cb3c12fa306fee2d081605c3e3ceeb90b66 | [
"Apache-2.0"
] | permissive | robertylewis/mathlib | 3d16e3e6daf5ddde182473e03a1b601d2810952c | 1d13f5b932f5e40a8308e3840f96fc882fae01f0 | refs/heads/master | 1,651,379,945,369 | 1,644,276,960,000 | 1,644,276,960,000 | 98,875,504 | 0 | 0 | Apache-2.0 | 1,644,253,514,000 | 1,501,495,700,000 | Lean | UTF-8 | Lean | false | false | 14,960 | lean | /-
Copyright (c) 2021 Vladimir Goryachev. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yaël Dillies, Vladimir Goryachev, Kyle Miller, Scott Morrison, Eric Rodriguez
-/
import data.nat.count
import order.order_iso_nat
/-!
# The `n`th Number Satisfying a Predicate
Th... |
80e49b7e6b323e2ed8ed1dca9310ec6190b4ca14 | a4673261e60b025e2c8c825dfa4ab9108246c32e | /tests/lean/run/macro_macro.lean | 6ff125bc512cafe03bec217c0a6c10dcab399fcd | [
"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 | 227 | lean |
macro mk_m id:ident v:str n:num c:char : command => `(macro $id:ident : term => `(fun (x : String) => x ++ $v ++ toString $n ++ toString $c))
mk_m foo "bla" 10 'a'
mk_m boo "hello" 3 'b'
#check foo "world"
#check boo "boo"
|
a4eb50bf77d01c3b599d71d2f86154a80db86003 | 6065973b1fa7bbacba932011c9e2f32bf7bdd6c1 | /src/linear_algebra/alternating.lean | c34ecf25ca7c93468eebec7d865717fb74b4ad81 | [
"Apache-2.0"
] | permissive | khmacdonald/mathlib | 90a0fa2222369fa69ed2fbfb841b74d2bdfd66cb | 3669cb35c578441812ad30fd967d21a94b6f387e | refs/heads/master | 1,675,863,801,090 | 1,609,761,876,000 | 1,609,761,876,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 14,041 | lean | /-
Copyright (c) 2020 Zhangir Azerbayev. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Eric Wieser, Zhangir Azerbayev
-/
import linear_algebra.multilinear
import linear_algebra.linear_independent
import group_theory.perm.sign
/-!
# Alternating Maps
We construct the ... |
9bd726c47d3b81d64a65cd537cc58e27bf09d383 | dc253be9829b840f15d96d986e0c13520b085033 | /homotopy/EM.hlean | d38a5c1b88ce29d503086e7fe8d798aeeb1c4654 | [
"Apache-2.0"
] | permissive | cmu-phil/Spectral | 4ce68e5c1ef2a812ffda5260e9f09f41b85ae0ea | 3b078f5f1de251637decf04bd3fc8aa01930a6b3 | refs/heads/master | 1,685,119,195,535 | 1,684,169,772,000 | 1,684,169,772,000 | 46,450,197 | 42 | 13 | null | 1,505,516,767,000 | 1,447,883,921,000 | Lean | UTF-8 | Lean | false | false | 35,319 | hlean | -- Authors: Floris van Doorn
import homotopy.EM algebra.category.functor.equivalence types.pointed2 ..pointed_pi ..pointed
..move_to_lib .susp ..algebra.exactness ..univalent_subcategory
open eq equiv is_equiv algebra group nat pointed EM.ops is_trunc trunc susp function is_conn nat
universe variable u
/- TODO... |
a16cfcc20f3ae8c89e625497433b09f41b644f63 | 6094e25ea0b7699e642463b48e51b2ead6ddc23f | /tests/lean/run/new_obtain4.lean | f6a8c92a36329baff1c6be35945ff7d934d09f2a | [
"Apache-2.0"
] | permissive | gbaz/lean | a7835c4e3006fbbb079e8f8ffe18aacc45adebfb | a501c308be3acaa50a2c0610ce2e0d71becf8032 | refs/heads/master | 1,611,198,791,433 | 1,451,339,111,000 | 1,451,339,111,000 | 48,713,797 | 0 | 0 | null | 1,451,338,939,000 | 1,451,338,939,000 | null | UTF-8 | Lean | false | false | 448 | lean | import data.set
open set function eq.ops
variables {X Y Z : Type}
lemma image_compose (f : Y → X) (g : X → Y) (a : set X) : (f ∘ g) '[a] = f '[g '[a]] :=
ext (take z,
iff.intro
(assume Hz,
obtain x Hx₁ Hx₂, from Hz,
by repeat (apply mem_image | assumption | reflexivity))
(assume Hz,
obtain... |
9cea8483b0daa877c2cbc720abfb0866454406c9 | 88892181780ff536a81e794003fe058062f06758 | /src/positive_nat/gcd.lean | c5d834d254438f8c7d0d252b634b52a608a4ef04 | [] | no_license | AtnNn/lean-sandbox | fe2c44280444e8bb8146ab8ac391c82b480c0a2e | 8c68afbdc09213173aef1be195da7a9a86060a97 | refs/heads/master | 1,623,004,395,876 | 1,579,969,507,000 | 1,579,969,507,000 | 146,666,368 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,776 | lean | import positive_nat.mod
namespace positive_nat namespace natural
lemma gcd_wf (n m : natural) (hx : m % n ≠ n) : m % n < n :=
begin
cases @mod_le_right m n,
{ constructor,
exfalso,
exact hx h,
exact 1 },
{ assumption }
end
def gcd : natural → natural → natural
| n m := let x := m % n in if h: x = n... |
f15c81387b5b371f2c77611417a7395a9e906e93 | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /stage0/src/Init.lean | d4b4636a627b91eb1a0dc7688b82098bb7aa9a2b | [
"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 | 509 | 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.Prelude
import Init.Notation
import Init.Tactics
import Init.Core
import Init.Control
import Init.Data.Basic
import Init.WF
import Init.... |
b8d4ffcd08c7a61e9c74b0a10648141a255791fb | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/lake/examples/deps/b/lakefile.lean | d975683bf41182f32d826af1a75626a6ab406ac9 | [
"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 | 103 | lean | import Lake
open System Lake DSL
package b
require root from ".."/"root"
@[default_target] lean_lib B
|
91241968efd80e4c9c9eb267fa8ecb6e84916106 | 271e26e338b0c14544a889c31c30b39c989f2e0f | /src/Init/Lean/Data/Options.lean | 679cbe41e2099c08b48b19cfe76525940b19f6d4 | [
"Apache-2.0"
] | permissive | dgorokho/lean4 | 805f99b0b60c545b64ac34ab8237a8504f89d7d4 | e949a052bad59b1c7b54a82d24d516a656487d8a | refs/heads/master | 1,607,061,363,851 | 1,578,006,086,000 | 1,578,006,086,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,392 | lean | /-
Copyright (c) 2018 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sebastian Ullrich and Leonardo de Moura
-/
prelude
import Init.System.IO
import Init.Data.Array
import Init.Data.ToString
import Init.Lean.Data.KVMap
namespace Lean
def Option... |
88b1b8677ca348fb59951aafcde5011faf8e69e8 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/Lean/Compiler/LCNF/ToDecl.lean | 0bc2e4a3f571cb65ddb30f1c18f01f84359f4e8b | [
"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 | 5,492 | 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.Meta.Transform
import Lean.Meta.Match.MatcherInfo
import Lean.Compiler.ImplementedByAttr
import Lean.Compiler.LCNF.ToLCNF
namespace Lean.Compil... |
8d143956d29e04c3b5483f4a3aa05af0cf8386ce | 4727251e0cd73359b15b664c3170e5d754078599 | /src/measure_theory/integral/periodic.lean | 48f6c027dede1be6fd667e04b97ece31c4a27b8d | [
"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 | 8,282 | 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 measure_theory.group.fundamental_domain
import measure_theory.integral.interval_integral
import topology.algebra.order.floor
/-!
# Integrals of periodic fun... |
9b5b02bc5933d1c545eeb639e70eb2382af15fff | 675b8263050a5d74b89ceab381ac81ce70535688 | /src/topology/instances/nnreal.lean | 99364f75ea4b8c88aa61ae36e6cfe3804537b628 | [
"Apache-2.0"
] | permissive | vozor/mathlib | 5921f55235ff60c05f4a48a90d616ea167068adf | f7e728ad8a6ebf90291df2a4d2f9255a6576b529 | refs/heads/master | 1,675,607,702,231 | 1,609,023,279,000 | 1,609,023,279,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,617 | lean | /-
Copyright (c) 2018 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin
Nonnegative real numbers.
-/
import topology.algebra.infinite_sum
import topology.algebra.group_with_zero
noncomputable theory
open set topological_space metric
open_l... |
59b127a9104127068adaee8110434d7640e8dd9f | 46125763b4dbf50619e8846a1371029346f4c3db | /src/algebra/group/units.lean | 5fb97df3043eb400176b393caba3563bb6e616b0 | [
"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 | 8,861 | 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
-/
import tactic.basic logic.function algebra.group.to_additive
/-!
# Units (i.e., invertible elements) of a multiplicative monoid
... |
6a3cbe38a21fe84bafc73f21d26804da69a3e4e5 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/meta3.lean | b5bed1dff26d719847a3b0af51f1f05052f97bad | [
"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 | 1,900 | lean | import Lean.Meta
open Lean
open Lean.Meta
def dbgOpt : Options :=
let opt : Options := {};
let opt := opt.setBool `trace.Meta true;
-- let opt := opt.setBool `trace.Meta.check false;
opt
def print (msg : MessageData) : MetaM Unit := do
trace[Meta.debug] msg
def check (x : MetaM Bool) : MetaM Unit :=
unless (← x) do... |
0b1289ad89f86ddfd35a492f76187e195e48ac02 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/data/mv_polynomial/basic.lean | 105ad4a8e6e0511f50a9ff16e9ec40f46205a582 | [] | 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 | 38,097 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Johan Commelin, Mario Carneiro
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.data.polynomial.eval
import Mathlib.PostPort
universes u_1... |
d76e50f43fb070a9a29abf254c9ea3c9f81d54f4 | 5ae26df177f810c5006841e9c73dc56e01b978d7 | /src/topology/algebra/module.lean | 168e7e2ef8e5f31e7b806f64c8650465e79212a6 | [
"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 | 9,556 | 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... |
a961ab88f5855304d4d3fe3b8c079cdecfabfbcc | f3849be5d845a1cb97680f0bbbe03b85518312f0 | /tests/lean/interactive/my_tac_class.lean | f20d9f7faabc4ad541abffaf1b9aa117e0f49afb | [
"Apache-2.0"
] | permissive | bjoeris/lean | 0ed95125d762b17bfcb54dad1f9721f953f92eeb | 4e496b78d5e73545fa4f9a807155113d8e6b0561 | refs/heads/master | 1,611,251,218,281 | 1,495,337,658,000 | 1,495,337,658,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,771 | lean | meta def mytac :=
state_t nat tactic
meta instance : monad mytac :=
state_t.monad _ _
meta instance : monad.has_monad_lift tactic mytac :=
monad.monad_transformer_lift (state_t nat) tactic
meta instance (α : Type) : has_coe (tactic α) (mytac α) :=
⟨monad.monad_lift⟩
namespace mytac
meta def step {α : Type} (t : my... |
9cbcf9f7e44cf0c8938db716cc834b0c190613ab | 2a70b774d16dbdf5a533432ee0ebab6838df0948 | /_target/deps/mathlib/src/data/rat/sqrt.lean | 11f75f9180f766dfcd15847fba12d4fb04fa68fc | [
"Apache-2.0"
] | permissive | hjvromen/lewis | 40b035973df7c77ebf927afab7878c76d05ff758 | 105b675f73630f028ad5d890897a51b3c1146fb0 | refs/heads/master | 1,677,944,636,343 | 1,676,555,301,000 | 1,676,555,301,000 | 327,553,599 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,176 | lean | /-
Copyright (c) 2019 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro
-/
import data.rat.order
import data.int.sqrt
/-!
# Square root on rational numbers
This file defines the square root function on rational numbers, `ra... |
106ca3f2938c8db236ca272bcaae5f53338802c0 | 7a76361040c55ae1eba5856c1a637593117a6556 | /src/lectures/love04_functional_programming_demo.lean | 950e29b32cdc42d917ad7bae8b5c9bc5653e2df1 | [] | no_license | rgreenblatt/fpv2021 | c2cbe7b664b648cef7d240a654d6bdf97a559272 | c65d72e48c8fa827d2040ed6ea86c2be62db36fa | refs/heads/main | 1,692,245,693,819 | 1,633,364,621,000 | 1,633,364,621,000 | 407,231,487 | 0 | 0 | null | 1,631,808,608,000 | 1,631,808,608,000 | null | UTF-8 | Lean | false | false | 12,834 | lean | import ..lovelib
/-! # LoVe Demo 4: Functional Programming
We take a closer look at the basics of typed functional programming: inductive
types, proofs by induction, recursive functions, pattern matching, structures
(records), and type classes. -/
set_option pp.beta true
set_option pp.generalized_field_notation fa... |
228005e52796269afc18a7d5c9d316c598754511 | 55c7fc2bf55d496ace18cd6f3376e12bb14c8cc5 | /src/category_theory/abelian/non_preadditive.lean | 20d478228bfa3502571bfaf02d1fe1cff35474c7 | [
"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 | 33,174 | 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 category_theory.limits.shapes.finite_products
import category_theory.limits.shapes.kernels
import category_theory.limits.shapes.pullbacks
import category_theory.... |
28d69784e24ec91e4a3854510fbe23daf8e8abcb | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/order/rel_classes.lean | db8038cf69283e9a14eb695d2a68040c415a2c29 | [
"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 | 14,613 | lean | /-
Copyright (c) 2020 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Mario Carneiro, Yury G. Kudryashov
-/
import order.basic
/-!
# Unbundled relation classes
In this file we prove some properties of `is_*` classes defined in `init.algeb... |
001fda33debe9ef40ee0e4561909f2806a90e38c | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /tests/lean/run/n3.lean | f79b3b32c7321a53ae493a31556c04a996740078 | [
"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 | 615 | lean | prelude
definition Prop : Type.{1} := Type.{0}
constant N : Type.{1}
constant and : Prop → Prop → Prop
infixr `∧`:35 := and
constant le : N → N → Prop
constant lt : N → N → Prop
constant f : N → N
constant add : N → N → N
infixl `+`:65 := add
precedence `≤`:50
precedence `<`:50
infixl ≤ := le
infixl < := lt
notation A ... |
20c34f141618894dd2d05d12e6ff0192d35daebe | 4727251e0cd73359b15b664c3170e5d754078599 | /src/algebra/lie/quotient.lean | fd47a972838203d8ae9f93e81feaf534c8cdae5c | [
"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 | 8,309 | lean | /-
Copyright (c) 2021 Oliver Nash. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Oliver Nash
-/
import algebra.lie.submodule
import algebra.lie.of_associative
import linear_algebra.isomorphisms
/-!
# Quotients of Lie algebras and Lie modules
Given a Lie submodule of... |
3a994876bdd94f6c980875e96c5734911b484c55 | ebf7140a9ea507409ff4c994124fa36e79b4ae35 | /src/exercises_sources/tuesday/sets.lean | 44d15a9547b6b881db799ff44c3344a469758709 | [] | no_license | fundou/lftcm2020 | 3e88d58a92755ea5dd49f19c36239c35286ecf5e | 99d11bf3bcd71ffeaef0250caa08ecc46e69b55b | refs/heads/master | 1,685,610,799,304 | 1,624,070,416,000 | 1,624,070,416,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 8,130 | lean | import data.set.basic data.set.lattice data.nat.parity
import tactic.linarith
open set nat function
open_locale classical
variables {α : Type*} {β : Type*} {γ : Type*} {I : Type*}
/-!
## Set exercises
These are collected from *Mathematics in Lean*.
We will go over the examples together, and then let you
work on t... |
1f9eb828b1bb7db3140b89a4cef0fbfbffe41357 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/topology/gluing.lean | f826938399057d79ffa39d06e3d161a017a010df | [
"Apache-2.0"
] | permissive | Vierkantor/mathlib | 0ea59ac32a3a43c93c44d70f441c4ee810ccceca | 83bc3b9ce9b13910b57bda6b56222495ebd31c2f | refs/heads/master | 1,658,323,012,449 | 1,652,256,003,000 | 1,652,256,003,000 | 209,296,341 | 0 | 1 | Apache-2.0 | 1,568,807,655,000 | 1,568,807,655,000 | null | UTF-8 | Lean | false | false | 18,493 | 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 topology.category.Top
import category_theory.glue_data
import category_theory.concrete_category.elementwise
/-!
# Gluing Topological spaces
Given a family of gluin... |
45a3978b0f2575f9422bded8f2cf61c83d81211c | 05f637fa14ac28031cb1ea92086a0f4eb23ff2b1 | /tests/lean/sum3.lean | 390157572927a770b459d309f2aadfc166a242b9 | [
"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 | 4,803 | lean | -- Copyright (c) 2014 Microsoft Corporation. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Author: Leonardo de Moura
import macros
import subtype
import optional
using subtype
using optional
-- We are encoding the (sum A B) as a subtype of (optional A) # (optional B), w... |
604def6cda93cac0a3191984b91c79fc618a2417 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/playground/sleep_save.lean | 411f4c43f4ec30b8d1bfa220457e4db56db2968d | [
"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 | 803 | lean | macro "expensive_tactic" : tactic => `(tactic| sleep 5000)
example (h₁ : x = y) (h₂ : y = z) : z = x := by
expensive_tactic
save
have : y = x := h₁.symm
have : z = y := h₂.symm
trace "hello world"
apply this.trans
exact ‹y = x›
example (h₁ : p ∨ q) (h₂ : p → x = 0) (h₃ : q → y = 0) : x * y = 0 := by
e... |
7b5bad245fcad8b566567b4948386abfc1617fbb | 00de0c30dd1b090ed139f65c82ea6deb48c3f4c2 | /src/algebra/group_power.lean | 7f17155b11d90269545003ed9e0a80492f43ffb4 | [
"Apache-2.0"
] | permissive | paulvanwamelen/mathlib | 4b9c5c19eec71b475f3dd515cd8785f1c8515f26 | 79e296bdc9f83b9447dc1b81730d36f63a99f72d | refs/heads/master | 1,667,766,172,625 | 1,590,239,595,000 | 1,590,239,595,000 | 266,392,625 | 0 | 0 | Apache-2.0 | 1,590,257,277,000 | 1,590,257,277,000 | null | UTF-8 | Lean | false | false | 29,737 | lean | /-
Copyright (c) 2015 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Robert Y. Lewis
-/
import data.int.basic
import data.equiv.basic
import deprecated.ring
/-!
# Power operations on monoids and groups
The power operation on monoids and ... |
91a8977803ba14cd11a7aeba07a2561841bd7d34 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/ring_theory/non_zero_divisors.lean | f7577bfa68dfd5da798d5e0bb73230274ca096a7 | [
"Apache-2.0"
] | permissive | alreadydone/mathlib | dc0be621c6c8208c581f5170a8216c5ba6721927 | c982179ec21091d3e102d8a5d9f5fe06c8fafb73 | refs/heads/master | 1,685,523,275,196 | 1,670,184,141,000 | 1,670,184,141,000 | 287,574,545 | 0 | 0 | Apache-2.0 | 1,670,290,714,000 | 1,597,421,623,000 | Lean | UTF-8 | Lean | false | false | 6,674 | lean | /-
Copyright (c) 2020 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau, Devon Tuma
-/
import group_theory.submonoid.operations
import group_theory.submonoid.membership
/-!
# Non-zero divisors
In this file we define the submonoid `non_zero_divisors... |
6343b2d4e83dcfe440c2532c5242062bdd246e9d | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/algebra/continued_fractions/translations.lean | 3a76d1199f2774662eb333b4c721cc528ef49cad | [] | no_license | AurelienSaue/Mathlib4_auto | f538cfd0980f65a6361eadea39e6fc639e9dae14 | 590df64109b08190abe22358fabc3eae000943f2 | refs/heads/master | 1,683,906,849,776 | 1,622,564,669,000 | 1,622,564,669,000 | 371,723,747 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 6,573 | lean | /-
Copyright (c) 2019 Kevin Kappelmann. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kevin Kappelmann
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.algebra.continued_fractions.basic
import Mathlib.PostPort
universes u_1
namespace Ma... |
952a236041627d75d14d35beab9e820a10da6446 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/namespace_local.lean | e79b6783329b250380fb414adb8ad03c1f27e03e | [
"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 | 128 | lean | namespace foo
variable A : Type
end foo
namespace bla
variable A : Type
end bla
namespace foo
variable A : Type
end foo
|
dc68925aead24149ca553d943f5e7776b659f664 | 92b50235facfbc08dfe7f334827d47281471333b | /library/algebra/ordered_group.lean | 13f6296da68c3b2987e84d19c623b97783bb94dc | [
"Apache-2.0"
] | permissive | htzh/lean | 24f6ed7510ab637379ec31af406d12584d31792c | d70c79f4e30aafecdfc4a60b5d3512199200ab6e | refs/heads/master | 1,607,677,731,270 | 1,437,089,952,000 | 1,437,089,952,000 | 37,078,816 | 0 | 0 | null | 1,433,780,956,000 | 1,433,780,955,000 | null | UTF-8 | Lean | false | false | 25,770 | lean | /-
Copyright (c) 2014 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad
Partially ordered additive groups, modeled on Isabelle's library. These classes can be refined
if necessary.
-/
import logic.eq data.unit data.sigma data.prod
import alge... |
6ec7f69ba6ac30a45cf155903b1ccb30b9f3d3e9 | 432d948a4d3d242fdfb44b81c9e1b1baacd58617 | /src/group_theory/solvable.lean | f5864f6c11ad4f35e3a3642f9fcb7191bb7f8947 | [
"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 | 12,105 | lean | /-
Copyright (c) 2021 Jordan Brown, Thomas Browning, Patrick Lutz. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jordan Brown, Thomas Browning, Patrick Lutz
-/
import group_theory.abelianization
import data.bracket
/-!
# Solvable Groups
In this file we introduce th... |
0a0a053cc34ef717147449223d970c2ec0dbc1df | 9b9a16fa2cb737daee6b2785474678b6fa91d6d4 | /src/topology/uniform_space/basic.lean | ad24ed41f4467fdf347d45b0ab3c2fa44ab02b1f | [
"Apache-2.0"
] | permissive | johoelzl/mathlib | 253f46daa30b644d011e8e119025b01ad69735c4 | 592e3c7a2dfbd5826919b4605559d35d4d75938f | refs/heads/master | 1,625,657,216,488 | 1,551,374,946,000 | 1,551,374,946,000 | 98,915,829 | 0 | 0 | Apache-2.0 | 1,522,917,267,000 | 1,501,524,499,000 | Lean | UTF-8 | Lean | false | false | 80,275 | 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
Theory of uniform spaces.
Uniform spaces are a generalization of metric spaces and topological groups. Many concepts directly
generaliz... |
41f87b7828018155e8aee2ca9bd5d17845cacc02 | a7eef317ddec01b9fc6cfbb876fe7ac00f205ac7 | /src/analysis/calculus/fderiv.lean | cd83810446d3e5c803b7391d4c8d666ac66711e2 | [
"Apache-2.0"
] | permissive | kmill/mathlib | ea5a007b67ae4e9e18dd50d31d8aa60f650425ee | 1a419a9fea7b959317eddd556e1bb9639f4dcc05 | refs/heads/master | 1,668,578,197,719 | 1,593,629,163,000 | 1,593,629,163,000 | 276,482,939 | 0 | 0 | null | 1,593,637,960,000 | 1,593,637,959,000 | null | UTF-8 | Lean | false | false | 102,497 | lean | /-
Copyright (c) 2019 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Sébastien Gouëzel, Yury Kudryashov
-/
import analysis.calculus.tangent_cone
/-!
# The Fréchet derivative
Let `E` and `F` be normed spaces, `f : E → F`, and `f' : E →L[�... |
76c2b1e29e541510e3725e134518bee330825959 | 94637389e03c919023691dcd05bd4411b1034aa5 | /src/profNotes/01_polymorphicFunctions.lean | 248b4d2fbd60e14f34f7d995a9c4e28c16cfc293 | [] | no_license | kevinsullivan/complogic-s21 | 7c4eef2105abad899e46502270d9829d913e8afc | 99039501b770248c8ceb39890be5dfe129dc1082 | refs/heads/master | 1,682,985,669,944 | 1,621,126,241,000 | 1,621,126,241,000 | 335,706,272 | 0 | 38 | null | 1,618,325,669,000 | 1,612,374,118,000 | Lean | UTF-8 | Lean | false | false | 2,476 | lean | /-
Identity functions for types nat, string, and bool.
An identity function takes and argument and returns
it unchanged.
-/
def id_nat : nat → nat :=
λ n, n
-- quick reminder on alternative syntax
-- cases
def id_nat' : nat → nat
| n := n
-- c-style
def id_nat'' (n : nat) : nat := n
-- back to main point
def ... |
aebea32831135ec6a09aaafe1eb0ee396b92ba31 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/category_theory/preadditive/injective.lean | 702aac98ea31b4b7ce9595ca0602564a82905f2f | [
"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 | 7,496 | lean | /-
Copyright (c) 2022 Jujian Zhang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jujian Zhang, Kevin Buzzard
-/
import algebra.homology.exact
import category_theory.types
import category_theory.preadditive.projective
import category_theory.limits.shapes.biproducts
... |
8ce86a79fe2fb3c16b88d5d04b621ad8a3b4fee7 | 3dc4623269159d02a444fe898d33e8c7e7e9461b | /.github/workflows/to_product.lean | f6cdf24ec566368227f1516d6592c784f18cd2dc | [] | no_license | Or7ando/lean | cc003e6c41048eae7c34aa6bada51c9e9add9e66 | d41169cf4e416a0d42092fb6bdc14131cee9dd15 | refs/heads/master | 1,650,600,589,722 | 1,587,262,906,000 | 1,587,262,906,000 | 255,387,160 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,877 | lean | import category_theory.limits.limits
import category_theory.limits.shapes
import category_theory.yoneda
import category_theory.opposites
import category_theory.types
import category_theory.limits.types
-- set_option trace.simplify.rewrite true
run_cmd mk_simp_attr `PRODUCT ----- BOF BOF
meta def PRODUCT_CAT : ta... |
a49edff3cc070d686bfd176d841b2b443400e112 | bb31430994044506fa42fd667e2d556327e18dfe | /src/data/setoid/partition.lean | 187b22877bf4f470c9e8dfbc0a6372ba76c00938 | [
"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 | 16,749 | lean | /-
Copyright (c) 2019 Amelia Livingston. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Amelia Livingston, Bryan Gin-ge Chen, Patrick Massot
-/
import data.fintype.basic
import data.set.finite
import data.setoid.basic
import order.partition.finpartition
/-!
# Equival... |
4618fecf2daaaaca341b2121e32b286f56aa0d64 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/combinatorics/hales_jewett.lean | 051ba6a96495fb3f0cafca72c5541f1474cf3096 | [
"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 | 15,450 | lean | /-
Copyright (c) 2021 David Wärn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: David Wärn
-/
import data.fintype.basic
import algebra.big_operators.basic
import data.equiv.fin
/-!
# The Hales-Jewett theorem
We prove the Hales-Jewett theorem and deduce Van der Waerd... |
72d6af9206a4ed96f3a6019330c4e126f071292b | 57aec6ee746bc7e3a3dd5e767e53bd95beb82f6d | /src/Std/Data/PersistentArray.lean | d4a063e8a5228afa918e32393291d3ca45b4e058 | [
"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 | 13,822 | 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
-/
universes u v w
namespace Std
inductive PersistentArrayNode (α : Type u) where
| node (cs : Array (PersistentArrayNode α)) : PersistentArrayNode α
| l... |
f0147d4a59cc4aff14ebe71138525be100253b8a | 9db059bff49b1090a86ec0050ac6c577eb16ac67 | /src/meetings/structures_classes.lean | 0591ec8bdaa8cd3d5de790d4dd4d12c1b5834256 | [] | no_license | fpvandoorn/Harvard-tutoring | d64cd75c4c529009ee562c30e9cb245fe237e760 | a8846c08e32cdc7b91a7e28adfa5d9b2810088b0 | refs/heads/master | 1,680,870,428,641 | 1,617,022,194,000 | 1,617,022,194,000 | 330,297,467 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 8,132 | lean | import data.real.basic
import data.nat.prime
/- Structures and classes.
Corresponding LFTCM lectures:
* https://www.youtube.com/watch?v=xYenPIeX6MY
* https://www.youtube.com/watch?v=1W_fyjaaY0M
-/
/- The `structure` command introduces a new type (or proposition)
which is built up from existing types.
Let's start w... |
2401a91142472629535512540add0ef153875d06 | c777c32c8e484e195053731103c5e52af26a25d1 | /src/group_theory/submonoid/centralizer.lean | f05395a009469679d6b08796ecb0c668e26cf082 | [
"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 | 2,130 | lean | /-
Copyright (c) 2021 Thomas Browning. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Thomas Browning
-/
import group_theory.subsemigroup.centralizer
import group_theory.submonoid.center
/-!
# Centralizers of magmas and monoids
> THIS FILE IS SYNCHRONIZED WITH MATHLI... |
502c047f527a577b458b91fa4d14595e0aa3f4e8 | c3f2fcd060adfa2ca29f924839d2d925e8f2c685 | /tests/lean/run/cody1.lean | 7e4c3d136a020f73b46c4aec56e18cfdbf2e7a59 | [
"Apache-2.0"
] | permissive | respu/lean | 6582d19a2f2838a28ecd2b3c6f81c32d07b5341d | 8c76419c60b63d0d9f7bc04ebb0b99812d0ec654 | refs/heads/master | 1,610,882,451,231 | 1,427,747,084,000 | 1,427,747,429,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 500 | lean | import logic
definition subsets (P : Type) := P → Prop.
context
hypothesis A : Type.
hypothesis r : A → subsets A.
hypothesis i : subsets A → A.
hypothesis retract {P : subsets A} {a : A} : r (i P) a = P a.
definition delta (a:A) : Prop := ¬ (r a a).
notation `δ` := delta.
-- Crashes unifier!
theorem false_aux... |
42de0291466d31df87c629ec45a215464723605f | 3dc4623269159d02a444fe898d33e8c7e7e9461b | /.github/workflows/project_1_a_decrire/lean-scheme-submission/src/spectrum_of_a_ring/structure_sheaf_locality.lean | 59b3ceafb4af556a7bf8c37db83598ec125a4045 | [] | no_license | Or7ando/lean | cc003e6c41048eae7c34aa6bada51c9e9add9e66 | d41169cf4e416a0d42092fb6bdc14131cee9dd15 | refs/heads/master | 1,650,600,589,722 | 1,587,262,906,000 | 1,587,262,906,000 | 255,387,160 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,245 | lean | /-
First argument of the ring lemma.
We show that the map from R[1/f] to R[1/fᵢ] inverts fᵢ/1.
-/
import ring_theory.localization
import to_mathlib.localization.localization_alt
import spectrum_of_a_ring.structure_presheaf
import spectrum_of_a_ring.structure_presheaf_localization
import spectrum_of_a_ring.str... |
b9ed14ae6dcbc80f819f6f6e8a4f5f55848807fe | 57fdc8de88f5ea3bfde4325e6ecd13f93a274ab5 | /analysis/limits.lean | c2dde5eb0876c9e71fc55774ecd9150bc7ed1471 | [
"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 | 8,012 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
A collection of limit properties.
-/
import algebra.big_operators algebra.group_power
analysis.real analysis.topology.infinite_sum
noncomputable theory
open classical... |
fdb508dea350ccd18ffc56f985201f28b0ea8ff5 | 618003631150032a5676f229d13a079ac875ff77 | /test/tidy.lean | c3787930fed9b1994bc339c3a827bf12bd842130 | [
"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 | 1,147 | lean | /-
Copyright (c) 2018 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import tactic.tidy
open tactic
namespace tidy.test
meta def interactive_simp := `[simp]
def tidy_test_0 : ∀ x : unit, x = unit.star :=
begin
success_if_fail { c... |
cd7aebe326867688ea9cbe732596a60ad2a10b83 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/linear_algebra/smodeq.lean | 36269e80e2407f58875c7bc5da349e8ab65a6630 | [
"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 | 3,180 | lean | /-
Copyright (c) 2020 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau
-/
import data.polynomial.eval
import ring_theory.ideal.quotient
/-!
# modular equivalence for submodule
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file r... |
f69119c7aa27a725b56926e0dcc9846ca1642e08 | d0c6b2ba2af981e9ab0a98f6e169262caad4b9b9 | /src/Lean/Elab/Do.lean | 5ed400a86508168a3346580b37b84ada40aae1ed | [
"Apache-2.0"
] | permissive | fizruk/lean4 | 953b7dcd76e78c17a0743a2c1a918394ab64bbc0 | 545ed50f83c570f772ade4edbe7d38a078cbd761 | refs/heads/master | 1,677,655,987,815 | 1,612,393,885,000 | 1,612,393,885,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 64,893 | 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.Term
import Lean.Elab.Binders
import Lean.Elab.Match
import Lean.Elab.Quotation.Util
import Lean.Parser.Do
namespace Lean.Elab.Term
open L... |
7281f09b01c8f12fb6f6c62c6378a0d19cb1a5ea | d436468d80b739ba7e06843c4d0d2070e43448e5 | /src/topology/metric_space/gromov_hausdorff_realized.lean | 61bb5488b67efcf1e52bd8a97cdeb248ed67d5a5 | [
"Apache-2.0"
] | permissive | roro47/mathlib | 761fdc002aef92f77818f3fef06bf6ec6fc1a28e | 80aa7d52537571a2ca62a3fdf71c9533a09422cf | refs/heads/master | 1,599,656,410,625 | 1,573,649,488,000 | 1,573,649,488,000 | 221,452,951 | 0 | 0 | Apache-2.0 | 1,573,647,693,000 | 1,573,647,692,000 | null | UTF-8 | Lean | false | false | 27,503 | lean | /-
Copyright (c) 2019 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Sébastien Gouëzel
Construction of a good coupling between nonempty compact metric spaces, minimizing
their Hausdorff distance. This construction is instrumental to study the Gromov-... |
7141ecc38e8ef128891a8a2dee113abc6915f12d | 4fa161becb8ce7378a709f5992a594764699e268 | /src/control/fold.lean | a7231766e9db6dc1c0790d03fbb117573e7beacb | [
"Apache-2.0"
] | permissive | laughinggas/mathlib | e4aa4565ae34e46e834434284cb26bd9d67bc373 | 86dcd5cda7a5017c8b3c8876c89a510a19d49aad | refs/heads/master | 1,669,496,232,688 | 1,592,831,995,000 | 1,592,831,995,000 | 274,155,979 | 0 | 0 | Apache-2.0 | 1,592,835,190,000 | 1,592,835,189,000 | null | UTF-8 | Lean | false | false | 14,707 | lean | /-
Copyright (c) 2018 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon, Sean Leather
-/
import algebra.free_monoid
import algebra.opposites
import control.traversable.instances
import control.traversable.lemmas
import category_theory.category
imp... |
8ff043580382f25d1bfbb300d3de9fc116dd2fe9 | fecda8e6b848337561d6467a1e30cf23176d6ad0 | /src/field_theory/subfield.lean | 681f42842532da5fd50ee1a08231a7b7ec4cbd3d | [
"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 | 24,102 | lean | /-
Copyright (c) 2020 Anne Baanen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors : Anne Baanen
-/
import ring_theory.subring
/-!
# Subfields
Let `K` be a field. This file defines the "bundled" subfield type `subfield K`, a type
whose terms correspond to subfields of... |
057e0746819b8e90c1336f10d1d9a5c733606a22 | a7eef317ddec01b9fc6cfbb876fe7ac00f205ac7 | /src/topology/subset_properties.lean | 52461b9986037f7bd772688857a2d4b02e934020 | [
"Apache-2.0"
] | permissive | kmill/mathlib | ea5a007b67ae4e9e18dd50d31d8aa60f650425ee | 1a419a9fea7b959317eddd556e1bb9639f4dcc05 | refs/heads/master | 1,668,578,197,719 | 1,593,629,163,000 | 1,593,629,163,000 | 276,482,939 | 0 | 0 | null | 1,593,637,960,000 | 1,593,637,959,000 | null | UTF-8 | Lean | false | false | 54,213 | 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.continuous_on
/-!
# Properties of subsets of topological spaces
## Main definitions
`compact`, `is_clopen`, `is_ir... |
7fdb19872c1458c8958167b553d443af60605ffa | 69d4931b605e11ca61881fc4f66db50a0a875e39 | /src/topology/metric_space/isometry.lean | d2bad3d6b931ff1fc7a74d817ae80e93819a2586 | [
"Apache-2.0"
] | permissive | abentkamp/mathlib | d9a75d291ec09f4637b0f30cc3880ffb07549ee5 | 5360e476391508e092b5a1e5210bd0ed22dc0755 | refs/heads/master | 1,682,382,954,948 | 1,622,106,077,000 | 1,622,106,077,000 | 149,285,665 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 15,758 | 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 analysis.normed_space.basic
/-!
# Isometries
We define isometries, i.e., maps between emetric spaces that prese... |
9b4da9e34b0792eac3150ecc0b4da3210d382e44 | bb31430994044506fa42fd667e2d556327e18dfe | /src/topology/metric_space/hausdorff_distance.lean | 768bf966e24d78870bd7aca4500bd0a799e6771a | [
"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 | 65,982 | 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.specific_limits.basic
import topology.metric_space.isometry
import topology.instances.ennreal
/-!
# Hausdorff distance
The Hausdorff distance ... |
5d4ca0a7c5a48896fe52cb6058b81d87364d9d30 | bd12a817ba941113eb7fdb7ddf0979d9ed9386a0 | /src/category_theory/discrete_category.lean | 171dfd75f9da774e6f7090c5f48de84679a1ed75 | [
"Apache-2.0"
] | permissive | flypitch/mathlib | 563d9c3356c2885eb6cefaa704d8d86b89b74b15 | 70cd00bc20ad304f2ac0886b2291b44261787607 | refs/heads/master | 1,590,167,818,658 | 1,557,762,121,000 | 1,557,762,121,000 | 186,450,076 | 0 | 0 | Apache-2.0 | 1,557,762,289,000 | 1,557,762,288,000 | null | UTF-8 | Lean | false | false | 1,630 | lean | -- Copyright (c) 2017 Scott Morrison. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Authors: Stephen Morgan, Scott Morrison
import data.ulift
import category_theory.functor_category
namespace category_theory
universes v₁ v₂ u₁ u₂ -- declare the `v`'s first; see `categ... |
8309540f288740ca4974000ce7ca6aa571b84a2c | 4efff1f47634ff19e2f786deadd394270a59ecd2 | /src/algebraic_geometry/presheafed_space.lean | a345f96ef1a394bebf310cae42c59ecc9ae281b2 | [
"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 | 7,309 | lean | /-
Copyright (c) 2019 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import topology.sheaves.presheaf
/-!
# Presheafed spaces
Introduces the category of topological spaces equipped with a presheaf (taking values in an
arbitrary targe... |
9fa538672280c7c2f6d30eb89f0d828b48a20847 | 48eee836fdb5c613d9a20741c17db44c8e12e61c | /src/algebra/theories/groupoid.lean | 6ff33a29adf064a18d0a9fd4a21b425f2f9b89f2 | [
"Apache-2.0"
] | permissive | fgdorais/lean-universal | 06430443a4abe51e303e602684c2977d1f5c0834 | 9259b0f7fb3aa83a9e0a7a3eaa44c262e42cc9b1 | refs/heads/master | 1,592,479,744,136 | 1,589,473,399,000 | 1,589,473,399,000 | 196,287,552 | 1 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 5,958 | lean | -- Copyright © 2019 François G. Dorais. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
import .basic
import .category
import .group
namespace algebra
/-
signature command cannot handle operation parameters yet,
so we define groupoid_sig manually; groupoid_hom is missing... |
7bdab429601aca19b278e1c7cadde4048eeaf092 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/analysis/normed/group/hom.lean | ac8d2dc8384ddbd6b4ed9007c6c24221fbcdc05f | [
"Apache-2.0"
] | permissive | robertylewis/mathlib | 3d16e3e6daf5ddde182473e03a1b601d2810952c | 1d13f5b932f5e40a8308e3840f96fc882fae01f0 | refs/heads/master | 1,651,379,945,369 | 1,644,276,960,000 | 1,644,276,960,000 | 98,875,504 | 0 | 0 | Apache-2.0 | 1,644,253,514,000 | 1,501,495,700,000 | Lean | UTF-8 | Lean | false | false | 34,804 | lean | /-
Copyright (c) 2021 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin
-/
import analysis.normed_space.basic
import analysis.specific_limits
import topology.sequences
/-!
# Normed groups homomorphisms
This file gathers definitions and el... |
c9eac3c56cd27b8b9b96799392b63589ead578f4 | 947b78d97130d56365ae2ec264df196ce769371a | /stage0/src/Init/Data/List/Control.lean | baf14b032cec57614fe7fe4d4204ec1dbd8ab15e | [
"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 | 6,054 | 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.Control.Monad
import Init.Control.Alternative
import Init.Data.List.Basic
namespace List
universes u v w u₁ u₂
/-
Remark: we can define... |
3113d06bc870d52aedc9427229f79d3b22bdeaf6 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/category_theory/idempotents/karoubi.lean | 45d790af537daeb0fa4e56989e1061282a74973f | [
"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 | 8,852 | lean | /-
Copyright (c) 2022 Joël Riou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joël Riou
-/
import category_theory.idempotents.basic
import category_theory.preadditive.additive_functor
import category_theory.equivalence
/-!
# The Karoubi envelope of a category
In t... |
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