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value | is_vendor bool 1
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class | length_bytes int64 3 6.4M | extension stringclasses 4
values | content stringlengths 3 6.12M |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
59a0f7d2df907501ff63b4c68766d5627b1f8a63 | 80cc5bf14c8ea85ff340d1d747a127dcadeb966f | /src/linear_algebra/affine_space/basic.lean | 74aac679a3f5299b43ea078c4090e94b6f366ef5 | [
"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 | 56,729 | lean | /-
Copyright (c) 2020 Joseph Myers. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Joseph Myers.
-/
import algebra.add_torsor
import linear_algebra.tensor_product
noncomputable theory
open_locale big_operators
open_locale classical
/-!
# Affine spaces
This file defin... |
82c015197fee3aa57dd6653e9d5076c7ee4bb600 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/data/set/intervals/disjoint.lean | d75bf2f58d4c1e1a4753e12c4b43afa7c78f6e7b | [] | no_license | AurelienSaue/Mathlib4_auto | f538cfd0980f65a6361eadea39e6fc639e9dae14 | 590df64109b08190abe22358fabc3eae000943f2 | refs/heads/master | 1,683,906,849,776 | 1,622,564,669,000 | 1,622,564,669,000 | 371,723,747 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,210 | 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, Yury Kudryashov
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.data.set.lattice
import Mathlib.PostPort
universes u
namespace Math... |
eac87da0a01e0398d21dea1d148db9436656ab56 | f70b31f6396d12f83817534a1579ad4102d34497 | /solution.lean | dfbb1b0b83f461b25eb14ae5040d4d62d7f4330f | [] | 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 | 209 | lean | import .problem
theorem solution : prob :=
begin
intros p q,
assume Hpq : p ∧ q,
have Hp : p, from and.elim_left Hpq,
have Hq : q, from and.elim_right Hpq,
show q ∧ p, from and.intro Hq Hp,
end
|
22a4606b34defc08e4a4ddfc912c380f480b6698 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/algebra/order/group/densely_ordered.lean | 822613485febac3d9b23dc60d66ce57d68ca1766 | [
"Apache-2.0"
] | permissive | alreadydone/mathlib | dc0be621c6c8208c581f5170a8216c5ba6721927 | c982179ec21091d3e102d8a5d9f5fe06c8fafb73 | refs/heads/master | 1,685,523,275,196 | 1,670,184,141,000 | 1,670,184,141,000 | 287,574,545 | 0 | 0 | Apache-2.0 | 1,670,290,714,000 | 1,597,421,623,000 | Lean | UTF-8 | Lean | false | false | 1,277 | lean | /-
Copyright (c) 2016 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Leonardo de Moura, Mario Carneiro, Johannes Hölzl
-/
import algebra.order.monoid.canonical.defs
import algebra.order.group.defs
import algebra.order.monoid.order_dual
/-... |
bdd9b3078c7cd6be5bd9a1e2b2284c0ca2ea0c23 | bb31430994044506fa42fd667e2d556327e18dfe | /src/algebraic_geometry/elliptic_curve/weierstrass.lean | 15703ad46c5dac968d15e02b544e5e29cb4b9f12 | [
"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 | 23,106 | lean | /-
Copyright (c) 2021 Kevin Buzzard. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kevin Buzzard, David Kurniadi Angdinata
-/
import algebra.cubic_discriminant
import ring_theory.class_group
import tactic.linear_combination
/-!
# Weierstrass equations of elliptic cu... |
f4a51d70c0acf9ca362e19646d816359ebe7ecdb | dd0f5513e11c52db157d2fcc8456d9401a6cd9da | /09_Type_Classes.org.1.lean | a959419185a264dd5efd52514acc4220431d3d93 | [] | no_license | cjmazey/lean-tutorial | ba559a49f82aa6c5848b9bf17b7389bf7f4ba645 | 381f61c9fcac56d01d959ae0fa6e376f2c4e3b34 | refs/heads/master | 1,610,286,098,832 | 1,447,124,923,000 | 1,447,124,923,000 | 43,082,433 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 186 | lean | import standard
import data.nat
open nat
attribute nat [class]
definition one [instance] : ℕ := 1
definition foo [x : ℕ] : nat := x
check @foo
eval foo
example : foo = 1 := rfl
|
23f4980b59f321fa3593606cff3f186aab5eb974 | 94e33a31faa76775069b071adea97e86e218a8ee | /src/category_theory/limits/cone_category.lean | a511297fa5ecf24d2390b1d46031d3ac9366a989 | [
"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 | 4,284 | 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 category_theory.limits.preserves.shapes.terminal
/-!
# Limits and the category of (co)cones
This files contains results that stem from the limit API. For the def... |
1e68d57d9552372399a49ebeeaea2167b629fa20 | df7bb3acd9623e489e95e85d0bc55590ab0bc393 | /lean/love02_backward_proofs_demo.lean | 700fb76e93c42dade6c29f07a332d50ab31cfbbe | [] | 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 | 7,939 | lean | import .love01_definitions_and_statements_demo
/- # LoVe Demo 2: Backward Proofs
A __tactic__ operates on a proof goal and either proves it or creates new
subgoals. Tactics are a __backward__ proof mechanism: They start from the goal
and work towards the available hypotheses and lemmas. -/
set_option pp.beta true
... |
c2e16a9e87a5eaa536471f8a9c24a29e6615a82e | ff5230333a701471f46c57e8c115a073ebaaa448 | /library/init/category/alternative.lean | 41fd4ca796d5b96c1f675f9c49da9ec1e5b71747 | [
"Apache-2.0"
] | permissive | stanford-cs242/lean | f81721d2b5d00bc175f2e58c57b710d465e6c858 | 7bd861261f4a37326dcf8d7a17f1f1f330e4548c | refs/heads/master | 1,600,957,431,849 | 1,576,465,093,000 | 1,576,465,093,000 | 225,779,423 | 0 | 3 | Apache-2.0 | 1,575,433,936,000 | 1,575,433,935,000 | null | UTF-8 | Lean | false | false | 1,351 | 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.logic init.category.applicative
universes u v
class has_orelse (f : Type u → Type v) : Type (max (u+1) v) :=
(orelse : Π {α : Type u}, ... |
0e875c5bf4d594429981a65ea9faf85ffa13741f | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/set_theory/cardinal/ordinal.lean | 4d3ef1aaef7c78fa0ee4734b4a9d264a4ecc48d7 | [
"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 | 49,442 | 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, Floris van Doorn
-/
import data.finsupp.multiset
import order.bounded
import set_theory.ordinal.principal
import tactic.linarith
/-!
# Cardinals and o... |
a7aba3d37271436013a6a097a90f413308535b42 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/analysis/normed/group/hom_completion.lean | e3333fe0cc972f175d0b9c64295f387421be6da9 | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 11,267 | lean | /-
Copyright (c) 2021 Patrick Massot. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Patrick Massot
-/
import analysis.normed.group.hom
import analysis.normed.group.completion
/-!
# Completion of normed group homs
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any chan... |
78a9bc77ebfcf499de0322fc2c2bbcb70a224785 | 80cc5bf14c8ea85ff340d1d747a127dcadeb966f | /src/topology/algebra/continuous_functions.lean | b04ab56d99d4c617f2bd3c9d86b9f95a998fa7e5 | [
"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 | 14,314 | lean | /-
Copyright (c) 2019 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison, Nicolò Cavalleri
-/
import topology.algebra.module
import topology.continuous_map
/-!
# Algebraic structures over continuous functions
In this file we define instance... |
d411d9052daee0779121b67747a8fb81bb73c8b7 | 82e44445c70db0f03e30d7be725775f122d72f3e | /src/data/subtype.lean | 16ec816fb9cdb5637385f1bb5ff02d4b88777927 | [
"Apache-2.0"
] | permissive | stjordanis/mathlib | 51e286d19140e3788ef2c470bc7b953e4991f0c9 | 2568d41bca08f5d6bf39d915434c8447e21f42ee | refs/heads/master | 1,631,748,053,501 | 1,627,938,886,000 | 1,627,938,886,000 | 228,728,358 | 0 | 0 | Apache-2.0 | 1,576,630,588,000 | 1,576,630,587,000 | null | UTF-8 | Lean | false | false | 6,240 | 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 tactic.lint
import tactic.ext
import tactic.simps
open function
namespace subtype
variables {α : Sort*} {β : Sort*} {γ : Sort*} {p : α → Prop} {q : α → Prop}... |
1f94e57d2a84ee79fb07fff1e96ce04672db69b6 | d1a52c3f208fa42c41df8278c3d280f075eb020c | /src/Lean/Elab/Notation.lean | d5079515a4768acf585c65e2763e71a9ab299b5d | [
"Apache-2.0",
"LLVM-exception",
"NCSA",
"LGPL-3.0-only",
"LicenseRef-scancode-inner-net-2.0",
"BSD-3-Clause",
"LGPL-2.0-or-later",
"Spencer-94",
"LGPL-2.1-or-later",
"HPND",
"LicenseRef-scancode-pcre",
"ISC",
"LGPL-2.1-only",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | cipher1024/lean4 | 6e1f98bb58e7a92b28f5364eb38a14c8d0aae393 | 69114d3b50806264ef35b57394391c3e738a9822 | refs/heads/master | 1,642,227,983,603 | 1,642,011,696,000 | 1,642,011,696,000 | 228,607,691 | 0 | 0 | Apache-2.0 | 1,576,584,269,000 | 1,576,584,268,000 | null | UTF-8 | Lean | false | false | 4,894 | lean | /-
Copyright (c) 2021 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Elab.Syntax
import Lean.Elab.AuxDef
namespace Lean.Elab.Command
open Lean.Syntax
open Lean.Parser.Term hiding macroArg
open Lean.Parser.Command... |
d0e0ecb68f25e74c0ff0d6382e1bb3709ebb7539 | fe25de614feb5587799621c41487aaee0d083b08 | /stage0/src/Lean/Elab/BuiltinCommand.lean | 27dd560bc256887bb2bff8aa2c0db7fc02f4586c | [
"Apache-2.0"
] | permissive | pollend/lean4 | e8469c2f5fb8779b773618c3267883cf21fb9fac | c913886938c4b3b83238a3f99673c6c5a9cec270 | refs/heads/master | 1,687,973,251,481 | 1,628,039,739,000 | 1,628,039,739,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 13,463 | lean | /-
Copyright (c) 2021 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Elab.Command
import Lean.Elab.Open
namespace Lean.Elab.Command
private def addScope (isNewNamespace : Bool) (header : String) (newNamespace : ... |
830613d12539948d92149059a619ba6b9c2e0044 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /src/tests/shell/file2.lean | e05aeb57f73a578ea841ec9cc570de7611549ffa | [
"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 | 152 | lean | check nat
check nat.add_zero
check nat.zero_add
check finset
open nat
example (a b : nat) : a = 0 → b = 0 → a = b :=
begin
intros, substvars
end
|
8a9b8454164342da0ea1a8a51ac07e0454dfdf52 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/let1.lean | cccbb7b45d4b0b0e8390b6abcef75913282fed63 | [
"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 | 1,152 | lean | prelude -- Correct version
#check let bool := Sort 0,
and (p q : bool) := ∀ c : bool, (p → q → c) → c,
infixl `∧`:25 := and,
and_intro (p q : bool) (H1 : p) (H2 : q) : p ∧ q
:= λ (c : bool) (H : p → q → c), H H1 H2,
and_elim... |
e41b697aaea7d2e32806fa7856ccdf8b74532972 | 6094e25ea0b7699e642463b48e51b2ead6ddc23f | /library/data/nat/gcd.lean | c3470b90957b402331afc567f4cfe34ffcf1900d | [
"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 | 15,569 | 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 .div
open eq.ops well_founded decidable prod
namespace nat
/- gcd -/
private definiti... |
fa7278a35d6769382fb116fe154219bb72d9c1c1 | fcf3ffa92a3847189ca669cb18b34ef6b2ec2859 | /src/world8/level7.lean | 8c362230d910eea3453e8af9735374cc665a874c | [
"Apache-2.0"
] | permissive | nomoid/lean-proofs | 4a80a97888699dee42b092b7b959b22d9aa0c066 | b9f03a24623d1a1d111d6c2bbf53c617e2596d6a | refs/heads/master | 1,674,955,317,080 | 1,607,475,706,000 | 1,607,475,706,000 | 314,104,281 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 610 | lean | import mynat.definition
import mynat.add
import world8.level4
import world8.level5
namespace mynat
theorem add_right_cancel_iff (a t b : mynat) : a + t = b + t ↔ a = b :=
begin [nat_num_game]
split,
{
exact add_right_cancel a t b,
},
{
induction t with n hd,
{
rw ad... |
c0fb069447bf3dd18beda2cb49b2d46cd6ecb620 | 3dc4623269159d02a444fe898d33e8c7e7e9461b | /.github/workflows/project_1_a_decrire/lean-scheme-submission/src/spectrum_of_a_ring/properties.lean | c72aba5bb789c28f27067b91967fcf7e3f22ada7 | [] | 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 | 6,603 | lean | /-
Properties of Spec(R).
https://stacks.math.columbia.edu/tag/00E0
-/
import algebra.module
import ring_theory.localization
import to_mathlib.ideals
import to_mathlib.localization.localization_alt
import spectrum_of_a_ring.spec
open lattice
noncomputable theory
local attribute [instance] classical.prop_decida... |
484157915a54986d7666c28691ca0437d1ce76b5 | 5ae26df177f810c5006841e9c73dc56e01b978d7 | /src/topology/algebra/infinite_sum.lean | 6500bf8eb1f83e04dc1c7b5603238ba8bab04439 | [
"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 | 25,695 | 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... |
acf99da77d3ad51b8be9e42be8c6e76ce0507a03 | 1437b3495ef9020d5413178aa33c0a625f15f15f | /order/filter.lean | e310322885cde29e1afc5317206144298be07477 | [
"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 | 94,463 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
Theory of filters on sets.
-/
import order.galois_connection order.zorn
import data.set.finite data.list
import category.applicative
open lattice set
universes u v w x... |
95f0a6821fb094207a0197ecdf3d84608a1a298a | 80cc5bf14c8ea85ff340d1d747a127dcadeb966f | /src/tactic/lift.lean | 62ca2dd4242a176495a10e4466b814c94e23f3c2 | [
"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 | 9,246 | lean | /-
Copyright (c) 2019 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn
-/
import tactic.rcases
/-!
# lift tactic
This file defines the lift tactic, allowing the user to lift elements from one type to another
under a specified condition... |
0d8771449ffb2d48a7a80d8a1e1356f4e972e947 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/group_theory/congruence_auto.lean | 6811d904b59bb590c5c56326f3e0f136435bfc3f | [] | 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 | 37,004 | lean | /-
Copyright (c) 2019 Amelia Livingston. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Amelia Livingston
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.data.setoid.basic
import Mathlib.algebra.group.pi
import Mathlib.algebra.group.prod
i... |
040d31fbad5934a6ec449683379f1576dcfde74c | 64874bd1010548c7f5a6e3e8902efa63baaff785 | /tests/lean/run/unzip_bug.lean | 281074b680ea49a1c38110ea9547eacd79879851 | [
"Apache-2.0"
] | permissive | tjiaqi/lean | 4634d729795c164664d10d093f3545287c76628f | d0ce4cf62f4246b0600c07e074d86e51f2195e30 | refs/heads/master | 1,622,323,796,480 | 1,422,643,069,000 | 1,422,643,069,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 380 | lean | import data.vector
open nat vector prod
variables {A B : Type}
definition unzip : Π {n : nat}, vector (A × B) n → vector A n × vector B n,
@unzip ⌞zero⌟ nil := (nil, nil),
@unzip ⌞succ n⌟ ((a, b) :: v) :=
match unzip v with
(va, vb) := (a :: va, b :: vb)
end
example : unzip ((1, 20) :: (2, 30) :: ... |
cfd15b11bb4b11d76e44af072b301e7ac35181f9 | 5d166a16ae129621cb54ca9dde86c275d7d2b483 | /tests/lean/run/sec_var.lean | a292628e0e3d902a7302f8d44d72cbd9e3790cb4 | [
"Apache-2.0"
] | permissive | jcarlson23/lean | b00098763291397e0ac76b37a2dd96bc013bd247 | 8de88701247f54d325edd46c0eed57aeacb64baf | refs/heads/master | 1,611,571,813,719 | 1,497,020,963,000 | 1,497,021,515,000 | 93,882,536 | 1 | 0 | null | 1,497,029,896,000 | 1,497,029,896,000 | null | UTF-8 | Lean | false | false | 541 | lean | section
parameter A : Type
definition foo : ∀ ⦃ a b : A ⦄, a = b → a = b :=
take a b H, H
variable a : A
set_option pp.implicit true
#check foo (eq.refl a)
#check foo
#check foo = (λ (a b : A) (H : a = b), H)
end
#check foo = (λ (A : Type) (a b : A) (H : a = b), H)
section
variable A : Type
defin... |
601a04a4bbec5d2fc30b4cd4c438fee7bb884a99 | 55c7fc2bf55d496ace18cd6f3376e12bb14c8cc5 | /src/topology/tactic.lean | f89fcca94f2f3e473d0f09645891589aa6979fd6 | [
"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 | 3,397 | lean | /-
Copyright (c) 2020 Reid Barton. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Reid Barton
-/
import tactic.auto_cases
import tactic.tidy
import tactic.with_local_reducibility
import topology.basic
/-!
# Tactics for topology
Currently we have one domain-specific ta... |
873694d4c977918edead26b798dfda35c833119a | d29d82a0af640c937e499f6be79fc552eae0aa13 | /src/topology/basic.lean | af6986720651c2fd42b05f004308e7c4b29726c1 | [
"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 | 58,659 | 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, Jeremy Avigad
-/
import order.filter.ultrafilter
import order.filter.partial
import algebra.support
/-!
# Basic theory of topological spaces.
The main... |
b3092aed2b86d6221979ab592f9a0efc12947522 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/alias.lean | d6c1d81eb2c9a0dfe6e235da6a49c659f5e21e28 | [
"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 | 338 | lean | --
namespace N1
constant num : Type.{1}
constant foo : num → num → num
end N1
namespace N2
constant val : Type.{1}
constant foo : val → val → val
end N2
open N2
open N1
constants a b : N1.num
#print raw foo a b
open N2
#print raw foo a b
open N1
#print raw foo a b
open N1
#print raw foo a b
open N2
#print ra... |
fcceb8f1a315601a1a17ce34485bdd291cb6b732 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/category_theory/quotient_auto.lean | 16117b2369388f88e74bb7a4dc2138d81187c904 | [] | 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 | 5,920 | lean | /-
Copyright (c) 2020 David Wärn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: David Wärn
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.category_theory.natural_isomorphism
import Mathlib.PostPort
universes v u l u_1 u_2
namespace Ma... |
46062242c336ac947081b11d5fd81fae2ced6148 | d7189ea2ef694124821b033e533f18905b5e87ef | /galois/list/nth.lean | 338fd74c85e754876042358212e34298bb7bff19 | [
"Apache-2.0"
] | permissive | digama0/lean-protocol-support | eaa7e6f8b8e0d5bbfff1f7f52bfb79a3b11b0f59 | cabfa3abedbdd6fdca6e2da6fbbf91a13ed48dda | refs/heads/master | 1,625,421,450,627 | 1,506,035,462,000 | 1,506,035,462,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,830 | lean | /- Lemmas about nth -/
universe u
namespace list
theorem nth_is_none_bound {α:Type} {l : list α} {i:ℕ} (pr : l.nth i = none)
: i ≥ l.length :=
begin
revert i,
induction l,
case nil { intros i pr, apply nat.zero_le, },
case cons h r ind {
intros i pr,
cases i; simp at pr,
contradiction,
exact n... |
5191ef129416785a75ccdc193356fd20aa76f144 | a338c3e75cecad4fb8d091bfe505f7399febfd2b | /src/data/real/basic.lean | 803765945cc324317ef86c69b7868f912a9eaa6b | [
"Apache-2.0"
] | permissive | bacaimano/mathlib | 88eb7911a9054874fba2a2b74ccd0627c90188af | f2edc5a3529d95699b43514d6feb7eb11608723f | refs/heads/master | 1,686,410,075,833 | 1,625,497,070,000 | 1,625,497,070,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 24,449 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Floris van Doorn
-/
import order.conditionally_complete_lattice
import data.real.cau_seq_completion
import algebra.archimedean
import algebra.star.basic
/-!
# Real num... |
5ad7ac9b2d40a64616816cb154f7d335de22ab30 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/inlineApp.lean | 85f8377ca794b3b76760676e43d37d2596f92bb2 | [
"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 | 396 | lean | import Lean
def f (x : Nat) :=
(x - 1) + x * 2 + x*x
def h (x : Nat) :=
inline <| f (x + x)
#eval Lean.Compiler.compile #[``h]
open Lean Compiler LCNF in
@[cpass] def simpInline : PassInstaller :=
Testing.assertDoesNotContainConstAfter ``inline "simp did not inline `inline`" |>.install `simp `simpInlinesInlin... |
93fc33f07859af6b798155789bd57f85de43456e | dc253be9829b840f15d96d986e0c13520b085033 | /choice.hlean | ea2e52b4b9a2e128329946e3cc829f94d6bf9361 | [
"Apache-2.0"
] | permissive | cmu-phil/Spectral | 4ce68e5c1ef2a812ffda5260e9f09f41b85ae0ea | 3b078f5f1de251637decf04bd3fc8aa01930a6b3 | refs/heads/master | 1,685,119,195,535 | 1,684,169,772,000 | 1,684,169,772,000 | 46,450,197 | 42 | 13 | null | 1,505,516,767,000 | 1,447,883,921,000 | Lean | UTF-8 | Lean | false | false | 3,505 | 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
universe variables u v
-- 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) :... |
2d2df0d643b52dc533eefef8f365e21dfef32357 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/group_theory/subgroup/basic.lean | e25deb946bc30c0d89ededf37c04152701b8d8b0 | [
"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 | 128,254 | lean | /-
Copyright (c) 2020 Kexing Ying. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kexing Ying
-/
import algebra.group.conj
import algebra.module.basic
import algebra.order.group.inj_surj
import data.countable.basic
import group_theory.submonoid.centralizer
import group... |
8e32c5309096b9ea2146cc61f700403b1ef569ec | b2e508d02500f1512e1618150413e6be69d9db10 | /src/data/real/ennreal.lean | 75fe6eb0f7d759634aeadc50fb86d66f13edd65c | [
"Apache-2.0"
] | permissive | callum-sutton/mathlib | c3788f90216e9cd43eeffcb9f8c9f959b3b01771 | afd623825a3ac6bfbcc675a9b023edad3f069e89 | refs/heads/master | 1,591,371,888,053 | 1,560,990,690,000 | 1,560,990,690,000 | 192,476,045 | 0 | 0 | Apache-2.0 | 1,568,941,843,000 | 1,560,837,965,000 | Lean | UTF-8 | Lean | false | false | 27,013 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Johannes Hölzl
Extended non-negative reals
-/
import data.real.nnreal order.bounds tactic.norm_num
noncomputable theory
open classical set lattice
local attribute [instance] prop_deci... |
18aba4fb85b80343d7fcfa11e0f0429cd6909ba7 | 4efff1f47634ff19e2f786deadd394270a59ecd2 | /src/category_theory/limits/shapes/constructions/binary_products.lean | bbeb04be08f1ea3ad69ebe8ae72ee1b192688439 | [
"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 | 1,623 | lean | /-
Copyright (c) 2020 Bhavik Mehta. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Bhavik Mehta
-/
import category_theory.limits.shapes.terminal
import category_theory.limits.shapes.pullbacks
import category_theory.limits.shapes.binary_products
universes v u
/-!
# Co... |
d6654c28f8c9a12532ebc3ff5915baf2b3e2a6b2 | 82b86ba2ae0d5aed0f01f49c46db5afec0eb2bd7 | /stage0/src/Lean/Util/Constructions.lean | d0a16d7e98911eb71d45342fc2be765cd8a60736 | [
"Apache-2.0"
] | permissive | banksonian/lean4 | 3a2e6b0f1eb63aa56ff95b8d07b2f851072d54dc | 78da6b3aa2840693eea354a41e89fc5b212a5011 | refs/heads/master | 1,673,703,624,165 | 1,605,123,551,000 | 1,605,123,551,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,046 | 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.Environment
import Lean.MonadEnv
namespace Lean
@[extern "lean_mk_cases_on"] constant mkCasesOnImp (env : Environment) (declName : @& Name) : ... |
e11e3585ac4400dfd15d3f91d3dedb6da2cc9504 | bb31430994044506fa42fd667e2d556327e18dfe | /src/topology/continuous_function/bounded.lean | 7cbba6795e4d73360918eb792e6723bb2964f048 | [
"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 | 60,044 | lean | /-
Copyright (c) 2018 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel, Mario Carneiro, Yury Kudryashov, Heather Macbeth
-/
import analysis.normed.order.lattice
import analysis.normed_space.operator_norm
import analysis.normed_space.s... |
d08d071a198a83d1ee47b03b59631e7d2fe16550 | 4b846d8dabdc64e7ea03552bad8f7fa74763fc67 | /library/tools/super/cdcl_solver.lean | f7eac8e3da6f31faa9cf749e90ee0bb66fba0708 | [
"Apache-2.0"
] | permissive | pacchiano/lean | 9324b33f3ac3b5c5647285160f9f6ea8d0d767dc | fdadada3a970377a6df8afcd629a6f2eab6e84e8 | refs/heads/master | 1,611,357,380,399 | 1,489,870,101,000 | 1,489,870,101,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 14,076 | 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
open tactic expr monad super
namespace cdcl
@[reducible] meta def prop_var := expr
@[reducible] meta def proof_term := expr
@[reducible] meta def proof... |
75bdf495cffb7dab40cc049cfa3ec95c285ec5b7 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/analysis/convex/segment.lean | 15a02d5fbdf9ddc33af6560b89b52dc0efc4deea | [
"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 | 18,934 | lean | /-
Copyright (c) 2019 Alexander Bentkamp. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Alexander Bentkamp, Yury Kudriashov, Yaël Dillies
-/
import algebra.order.invertible
import algebra.order.smul
import linear_algebra.affine_space.midpoint
import linear_algebra.ray... |
f73a6a1c3b131570c7f5b98b991c7ba4cdc5cbfe | 492a7e27d49633a89f7ce6e1e28f676b062fcbc9 | /src/monoidal_categories_reboot/monoidal_functor_attributes.lean | f2c3da27e4c4c13fa39aad15874c3bf3f7107230 | [
"Apache-2.0"
] | permissive | semorrison/monoidal-categories-reboot | 9edba30277de48a234b63813cf85b171772ce36f | 48b5f1d535daba4e591672042a298ac36be2e6dd | refs/heads/master | 1,642,472,396,149 | 1,560,587,477,000 | 1,560,587,477,000 | 156,465,626 | 0 | 1 | null | 1,541,549,278,000 | 1,541,549,278,000 | null | UTF-8 | Lean | false | false | 1,601 | lean | import category_theory.monoidal.functor
import category_theory.tactics.obviously
open category_theory
open category_theory.monoidal_category
attribute [search]
tensor_id tensor_comp associator_naturality
left_unitor_naturality right_unitor_naturality
pentagon triangle
comp_tensor_id id_tensor_comp id_tensor_comp_ten... |
4c8244c9b2fffec7baccf526ed2a74a2167c4dff | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/algebra/order/monoid/type_tags.lean | 69ca44b7e7dc18d88e5f03732b88fd6c96eaba1f | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 4,770 | lean | /-
Copyright (c) 2016 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Leonardo de Moura, Mario Carneiro, Johannes Hölzl
-/
import algebra.group.type_tags
import algebra.order.monoid.cancel.defs
import algebra.order.monoid.canonical.defs
/-... |
d292378858be8d84deb1721904012a6125c3a6b7 | 5d166a16ae129621cb54ca9dde86c275d7d2b483 | /library/init/coe.lean | 916496f843a59fa379a31a9cb663bcbbf7f4b2a0 | [
"Apache-2.0"
] | permissive | jcarlson23/lean | b00098763291397e0ac76b37a2dd96bc013bd247 | 8de88701247f54d325edd46c0eed57aeacb64baf | refs/heads/master | 1,611,571,813,719 | 1,497,020,963,000 | 1,497,021,515,000 | 93,882,536 | 1 | 0 | null | 1,497,029,896,000 | 1,497,029,896,000 | null | UTF-8 | Lean | false | false | 6,682 | 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
-/
/-
The elaborator tries to insert coercions automatically.
Only instances of has_coe type class are considered in the process.
Lean also provides a "lifti... |
571fd13a4d3107c65d7ca5acda69629816db4d52 | 957a80ea22c5abb4f4670b250d55534d9db99108 | /tests/lean/run/aexp.lean | b6e2dd571495dab5fa7c7b07a3596272b534bdcf | [
"Apache-2.0"
] | permissive | GaloisInc/lean | aa1e64d604051e602fcf4610061314b9a37ab8cd | f1ec117a24459b59c6ff9e56a1d09d9e9e60a6c0 | refs/heads/master | 1,592,202,909,807 | 1,504,624,387,000 | 1,504,624,387,000 | 75,319,626 | 2 | 1 | Apache-2.0 | 1,539,290,164,000 | 1,480,616,104,000 | C++ | UTF-8 | Lean | false | false | 1,708 | lean | namespace imp
open tactic
@[reducible]
def uname := string
inductive aexp
| val : nat → aexp
| var : uname → aexp
| plus : aexp → aexp → aexp
| times : aexp → aexp → aexp
instance : decidable_eq aexp :=
by mk_dec_eq_instance
@[reducible]
def value := nat
def state := uname → value
open aexp
def aval : aexp ... |
85e281e88aef2336aa8a7bf1956cf6c50218f7c5 | 2fbe653e4bc441efde5e5d250566e65538709888 | /src/topology/continuous_on.lean | f97cc2dd2485cc207f4f1fd99f189c597df1b456 | [
"Apache-2.0"
] | permissive | aceg00/mathlib | 5e15e79a8af87ff7eb8c17e2629c442ef24e746b | 8786ea6d6d46d6969ac9a869eb818bf100802882 | refs/heads/master | 1,649,202,698,930 | 1,580,924,783,000 | 1,580,924,783,000 | 149,197,272 | 0 | 0 | Apache-2.0 | 1,537,224,208,000 | 1,537,224,207,000 | null | UTF-8 | Lean | false | false | 24,449 | lean | /-
Copyright (c) 2019 Reid Barton. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import topology.constructions
/-!
# Neighborhoods and continuity relative to a subset
This file defines relative versions
`nhds_within` of `nhds`
`contin... |
8c51f538b03b31b49d5cb5828cdc90414128b6b7 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/Lean3Lib/init/meta/simp_tactic.lean | 29c948aaf75fa6d16924dd95375f502b4433b2a6 | [] | 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 | 8,720 | 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
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.meta.tactic
import Mathlib.Lean3Lib.init.meta.attribute
import Mathlib.Lean3Lib.init.meta.constructor_ta... |
718e09c22d6b03ed6ea4a3019339ec69af338427 | 80cc5bf14c8ea85ff340d1d747a127dcadeb966f | /src/data/finset/lattice.lean | 454d0071096d4a09dab84e812ac8c9bf8faaa728 | [
"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 | 24,116 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Mario Carneiro
-/
import data.finset.fold
import data.multiset.lattice
/-!
# Lattice operations on multisets
-/
variables {α β γ : Type*}
namespace finset
open multiset
/-! ### sup ... |
752e291ac4c8ace344b0d8032c2c29225342033f | 92b50235facfbc08dfe7f334827d47281471333b | /library/data/num.lean | 98bb1165598c01ab2d063a54942ddbcc56f19b7d | [
"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 | 17,532 | 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 data.bool tools.helper_tactics
open bool eq.ops decidable helper_tactics
namespace pos_num
theorem succ_not_is_one (a : pos_num) : is_one (succ a) ... |
aaaf9cf4e579a43d5c356698e321487ab3bb95c2 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/Lean3Lib/init/data/quot.lean | 9e3af2d9cb03b515ecb50e56f1f9150af15ffcfd | [] | 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 | 9,440 | lean | /-
Copyright (c) 2015 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura
Quotient types.
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.data.sigma.basic
import Mathlib.Lean3Lib.init.logic
import Mathlib.Lean3Lib.init.propext... |
93da83f24f2a85ffb252754cb782a8246de4b2cf | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/analysis/complex/schwarz.lean | 83e5125bb8ded91e2586db67b38048f8f81a3bf5 | [
"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 | 10,050 | lean | /-
Copyright (c) 2022 Yury G. Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury G. Kudryashov
-/
import analysis.complex.abs_max
import analysis.complex.removable_singularity
/-!
# Schwarz lemma
In this file we prove several versions of the Schwarz lemm... |
b17994dd5726c9f63f909a4b606a953f17873b0a | bb31430994044506fa42fd667e2d556327e18dfe | /src/data/finset/sort.lean | c293a1d344bf9afcea7fb8e23127cfbd9fedfa33 | [
"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 | 9,503 | 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 order.rel_iso.set
import data.fintype.lattice
import data.multiset.sort
import data.list.nodup_equiv_fin
/-!
# Construct a sorted list from a finset.
-/
name... |
ce02e322adbe0ff66c1ecc4447b6b487610411ba | 367134ba5a65885e863bdc4507601606690974c1 | /test/equiv_rw.lean | 4337508083e99fef34353ba1879a715843d05672 | [
"Apache-2.0"
] | permissive | kodyvajjha/mathlib | 9bead00e90f68269a313f45f5561766cfd8d5cad | b98af5dd79e13a38d84438b850a2e8858ec21284 | refs/heads/master | 1,624,350,366,310 | 1,615,563,062,000 | 1,615,563,062,000 | 162,666,963 | 0 | 0 | Apache-2.0 | 1,545,367,651,000 | 1,545,367,651,000 | null | UTF-8 | Lean | false | false | 9,422 | 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 tactic.equiv_rw
import control.equiv_functor.instances -- these make equiv_rw more powerful!
-- Uncomment this line to observe the steps of constructing appro... |
5ed68b6db11668722d3ee878d119fc2107fddc53 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/data/finset/locally_finite.lean | beac80359c465f5ea00ee13cf4a39c72b3bf2e40 | [
"Apache-2.0"
] | permissive | alreadydone/mathlib | dc0be621c6c8208c581f5170a8216c5ba6721927 | c982179ec21091d3e102d8a5d9f5fe06c8fafb73 | refs/heads/master | 1,685,523,275,196 | 1,670,184,141,000 | 1,670,184,141,000 | 287,574,545 | 0 | 0 | Apache-2.0 | 1,670,290,714,000 | 1,597,421,623,000 | Lean | UTF-8 | Lean | false | false | 25,508 | lean | /-
Copyright (c) 2019 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison, Yaël Dillies
-/
import order.locally_finite
/-!
# Intervals as finsets
This file provides basic results about all the `finset.Ixx`, which are defined in
`order.locall... |
e4474d49184490f12b06d808a70a708d47267c3a | f083c4ed5d443659f3ed9b43b1ca5bb037ddeb58 | /group_theory/coset.lean | 9354cca14be3be454b8f1e812d8b828803ac9087 | [
"Apache-2.0"
] | permissive | semorrison/mathlib | 1be6f11086e0d24180fec4b9696d3ec58b439d10 | 20b4143976dad48e664c4847b75a85237dca0a89 | refs/heads/master | 1,583,799,212,170 | 1,535,634,130,000 | 1,535,730,505,000 | 129,076,205 | 0 | 0 | Apache-2.0 | 1,551,697,998,000 | 1,523,442,265,000 | Lean | UTF-8 | Lean | false | false | 6,035 | lean | /-
Copyright (c) 2018 Mitchell Rowett. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mitchell Rowett, Scott Morrison
-/
import group_theory.subgroup data.equiv.basic data.quot
open set function
variable {α : Type*}
def left_coset [has_mul α] (a : α) (s : set α) : se... |
5913b66fc0631e92142fb9b9e48775a23efc30cd | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /tests/lean/run/pred_using_structure_cmd.lean | 870fb0d3767e04ed2b7731cb17981746a708e7ec | [
"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 | 341 | lean | variable {A : Type}
structure has_refl (R : A → A → Prop) : Prop :=
(refl : ∀ a, R a a)
structure is_equiv (R : A → A → Prop) extends has_refl R : Prop :=
(symm : ∀ a b, R a b → R b a)
(trans : ∀ a b c, R a b → R b c → R a c)
check @is_equiv.refl
check @is_equiv.symm
check @is_equiv.trans
check @is_equiv.to_has_refl... |
5b54c5fb2f2185693561eae910d7793822bc1d3f | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/category_theory/sums/default_auto.lean | 34759d033cc0c226bfc0883fabbd4df8ed331a0a | [] | 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 | 162 | lean | import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.category_theory.sums.associator
import Mathlib.PostPort
namespace Mathlib
end Mathlib |
e20feb96b2e787417603cec943bb3fb4733c69f1 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/topology/bases.lean | 53d3ad93ab534e69f910493efe87b252b8f77fcf | [
"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 | 42,100 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro
-/
import topology.constructions
import topology.continuous_on
/-!
# Bases of topologies. Countability axioms.
A topological basis on a topological spa... |
1f3c3fd8305b0c097f50be8fe9d0f5d88e8ada19 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/data/finite/basic.lean | 060e39a1a81f055c49773a7d31320cf8a856603b | [
"Apache-2.0"
] | permissive | jcommelin/mathlib | d8456447c36c176e14d96d9e76f39841f69d2d9b | ee8279351a2e434c2852345c51b728d22af5a156 | refs/heads/master | 1,664,782,136,488 | 1,663,638,983,000 | 1,663,638,983,000 | 132,563,656 | 0 | 0 | Apache-2.0 | 1,663,599,929,000 | 1,525,760,539,000 | Lean | UTF-8 | Lean | false | false | 4,934 | lean | /-
Copyright (c) 2022 Kyle Miller. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kyle Miller
-/
import data.fintype.basic
/-!
# Finite types
In this file we prove some theorems about `finite` and provide some instances. This typeclass is a
`Prop`-valued counterpart ... |
8598a0e5f05e129dbfcf8569de448ce8bc2d0dfb | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/data/bundle.lean | 0a00d9a6977d6be8e42e95de5edd5ed9e793edcb | [
"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 | 2,954 | lean | /-
Copyright © 2021 Nicolò Cavalleri. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Nicolò Cavalleri
-/
import tactic.basic
import algebra.module.basic
/-!
# Bundle
Basic data structure to implement fiber bundles, vector bundles (maybe fibrations?), etc. This file
s... |
f7d22fab88f82f24af767dee2e7e07919a06d2eb | df7bb3acd9623e489e95e85d0bc55590ab0bc393 | /lean/love01_definitions_and_statements_demo.lean | c2655377bec0875f8f66e1189f43a2a60b5b711b | [] | 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 | 10,797 | lean | import .lovelib
/- # LoVe Preface
## Proof Assistants
Proof assistants (also called interactive theorem provers)
* check and help develop formal proofs;
* can be used to prove big theorems, not only logic puzzles;
* can be tedious to use;
* are highly addictive (think video games).
A selection of proof assistants... |
cb9b927050d0337183ac5c7a6882f0a0c2b3d560 | e031d1fbf8353b338e3189e0d9aec3adb5bb0512 | /src/data/classes.lean | 2b5ad1391364139998f67cdaca1a2ee68ea7095e | [
"Apache-2.0"
] | permissive | UniversalAlgebra/lean-ualib | e64431a70007a835b1dd933d66be04ffca118601 | ab9cbddbb5bdf1eeac4b0d5994bd6cad2a3665d4 | refs/heads/master | 1,584,931,281,084 | 1,558,364,533,000 | 1,558,364,533,000 | 140,986,567 | 6 | 0 | Apache-2.0 | 1,532,718,578,000 | 1,531,613,794,000 | Lean | UTF-8 | Lean | false | false | 3,123 | lean | -- we start with some examples of classical algebraic structures
namespace examples
universes u
variables {α : Type u}
class magma (α : Type u) extends has_mul α
-- avoid the name groupoid here because that means something
-- different in category theory; we could have called these "binars"
-- by convent... |
39d53f657b98de115cadbae11045ca6e76056645 | fe25de614feb5587799621c41487aaee0d083b08 | /tests/lean/PPRoundtrip.lean | e1e31b6c8fdc7896b8ef272689a6bf536b3aeb35 | [
"Apache-2.0"
] | permissive | pollend/lean4 | e8469c2f5fb8779b773618c3267883cf21fb9fac | c913886938c4b3b83238a3f99673c6c5a9cec270 | refs/heads/master | 1,687,973,251,481 | 1,628,039,739,000 | 1,628,039,739,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,271 | lean | import Lean
open Lean
open Lean.Elab
open Lean.Elab.Term
open Lean.Elab.Command
open Std.Format open Std
open Lean.PrettyPrinter
open Lean.PrettyPrinter.Delaborator
open Lean.Meta
def checkM (stx : TermElabM Syntax) (optionsPerPos : OptionsPerPos := {}) : TermElabM Unit := do
let opts ← getOptions
let stx ← stx
let ... |
625092040efca3fc6275e1a9aee29b8f8010d355 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/order/zorn.lean | 1d8ce9d6224d7052c3eb8d189173d043851207f0 | [
"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 | 17,850 | 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 data.set.pairwise
/-!
# Chains and Zorn's lemmas
This file defines chains for an arbitrary relation and proves several formulations of Zorn's Lemma,
along wi... |
91380ac9e502fbf5f1413d3841cd2c087d4b9212 | 0c1546a496eccfb56620165cad015f88d56190c5 | /library/init/meta/fun_info.lean | e92dfdb0288a68096ea0605ef7d761b87a1f13bf | [
"Apache-2.0"
] | permissive | Solertis/lean | 491e0939957486f664498fbfb02546e042699958 | 84188c5aa1673fdf37a082b2de8562dddf53df3f | refs/heads/master | 1,610,174,257,606 | 1,486,263,620,000 | 1,486,263,620,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,715 | 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.format init.function
structure param_info :=
(is_implicit : bool)
(is_inst_implicit : bool)
(is_prop ... |
4f31e29813c1a1e20ea9aca0f74a9ed75f6f6900 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/1851.lean | 467833032bfd6b07deefe4512f1b599c8c5ded44 | [
"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 | 270 | lean | class Approx {α : Type} (a : α) (X : Type) : Type where
val : X
variable {α β X Y : Type} {f' : α → β} {x' : α} [f : Approx f' (X → Y)] [x : Approx x' X]
-- fails
#check f.val x.val
-- works
#check let f'' := f.val
let x'' := x.val
f'' x''
|
2c2097ed7781bdc534157287c44369f35a835e2c | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/category_theory/monoidal/Bimod.lean | 48b955f7b99b42d8a4403db69e19d8ac3290c907 | [
"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 | 42,804 | lean | /-
Copyright (c) 2022 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison, Oleksandr Manzyuk
-/
import category_theory.bicategory.basic
import category_theory.monoidal.Mon_
import category_theory.limits.preserves.shapes.equalizers
/-!
# The c... |
f11e9a10f7b57fa3e56021d7877bd6bccb8ab1aa | 7cef822f3b952965621309e88eadf618da0c8ae9 | /src/algebra/group/units_hom.lean | 44881d7eb409c5aaa8a601e2065258ea63f8f0d1 | [
"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 | 1,599 | lean | /-
Copyright (c) 2018 Johan Commelin All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin, Chris Hughes, Kevin Buzzard
Lift monoid homomorphisms to group homomorphisms of their units subgroups.
-/
import algebra.group.units algebra.group.hom
universes u v w
... |
671bfe6488b931a52f310014e53c349bffb7c083 | 80cc5bf14c8ea85ff340d1d747a127dcadeb966f | /src/data/polynomial/derivative.lean | adc93eb68e89ff443bd759aeee27b7e3bd4fc110 | [
"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 | 10,172 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Johannes Hölzl, Scott Morrison, Jens Wagemaker
-/
import data.polynomial.eval
/-!
# Theory of univariate polynomials
-/
noncomputable theory
local attribute [instance, ... |
745f109d04a6f9699f1490798809252615c5acd7 | acc85b4be2c618b11fc7cb3005521ae6858a8d07 | /data/bool.lean | 824927448ebc7d695040141b9e0a91ff1df115d1 | [
"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 | 2,806 | 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, Jeremy Avigad
-/
namespace bool
set_option pp.universes true
@[simp] theorem coe_sort_tt : coe_sort.{1 1} tt = true := eq_true_intro rfl
@[simp] theorem co... |
7dad3a5bb0a489974b53fdf9d301be1f10e69abf | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/run/congr_tac.lean | 23b3a5a74efe9c6356e93b80f6fcdfc76599c809 | [
"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 | 716 | lean | import data.list
example (f : nat → nat → nat) (a b c : nat) : b = c → f a b = f a c :=
begin
intro bc,
congruence,
assumption
end
example (f g : nat → nat → nat) (a b c : nat) : f = g → b = c → f a b = g a c :=
begin
intro fg bc,
congruence,
exact fg,
exact bc
end
example (f g : nat → nat → nat) (a b ... |
cb7b6f91dd3847bcac9a4961bad98821b31a2f02 | 32025d5c2d6e33ad3b6dd8a3c91e1e838066a7f7 | /tests/lean/abst.lean | 5a4de4ad119bb083b2a851fb1efe0e2d3af1d4e3 | [
"Apache-2.0"
] | permissive | walterhu1015/lean4 | b2c71b688975177402758924eaa513475ed6ce72 | 2214d81e84646a905d0b20b032c89caf89c737ad | refs/heads/master | 1,671,342,096,906 | 1,599,695,985,000 | 1,599,695,985,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 509 | lean | import Lean.Expr
open Lean
def tst : IO Unit :=
do
let f := mkConst `f;
let x := mkFVar `x;
let y := mkFVar `y;
let t := mkApp (mkApp (mkApp f x) y) (mkApp f x);
IO.println t;
let p := t.abstract [x, y].toArray;
IO.println p;
IO.println $ p.instantiateRev #[x, y];
let a := mkConst `a;
let b := mkApp f (mkConst `b);
IO... |
7068ba23c34a1a326425465e3705e23bdaceb87e | 6e41ee3ac9b96e8980a16295cc21f131e731884f | /library/algebra/category/morphism.lean | f90cc4be030abae6d21d13bc96d649a01aaa3866 | [
"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 | 11,990 | lean | /-
Copyright (c) 2014 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Module: algebra.category.morphism
Author: Floris van Doorn
-/
import .basic algebra.relation algebra.binary
open eq eq.ops category
namespace morphism
variables {ob : Type} [C : categor... |
4b425925d0f65e492af7500041c2c09aadf096a4 | d9d511f37a523cd7659d6f573f990e2a0af93c6f | /src/algebra/category/CommRing/basic.lean | 8248b00f727f5ba930f4a449191b1bf0c3d2c3ad | [
"Apache-2.0"
] | permissive | hikari0108/mathlib | b7ea2b7350497ab1a0b87a09d093ecc025a50dfa | a9e7d333b0cfd45f13a20f7b96b7d52e19fa2901 | refs/heads/master | 1,690,483,608,260 | 1,631,541,580,000 | 1,631,541,580,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 8,101 | lean | /-
Copyright (c) 2018 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison, Johannes Hölzl, Yury Kudryashov
-/
import algebra.category.Group.basic
import data.equiv.ring
/-!
# Category instances for semiring, ring, comm_semiring, and comm_ring... |
57eb9f9db795d92b1ff1d97d43f0ff203940623b | 57aec6ee746bc7e3a3dd5e767e53bd95beb82f6d | /src/Leanpkg.lean | 68d01dd728d6f172c9eca92d9522f9555ad6a46c | [
"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 | 7,567 | lean | /-
Copyright (c) 2017 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gabriel Ebner, Sebastian Ullrich
-/
import Leanpkg.Resolve
import Leanpkg.Git
namespace Leanpkg
def readManifest : IO Manifest := do
let m ← Manifest.fromFile leanpkgTomlFn
... |
75ef83cfe8366fe7fe5ee6bbc70b4824bcc55f4e | a45212b1526d532e6e83c44ddca6a05795113ddc | /src/tactic/omega/lin_comb.lean | 28b499c99a2df93169f2415a553e5bc7d201eb0a | [
"Apache-2.0"
] | permissive | fpvandoorn/mathlib | b21ab4068db079cbb8590b58fda9cc4bc1f35df4 | b3433a51ea8bc07c4159c1073838fc0ee9b8f227 | refs/heads/master | 1,624,791,089,608 | 1,556,715,231,000 | 1,556,715,231,000 | 165,722,980 | 5 | 0 | Apache-2.0 | 1,552,657,455,000 | 1,547,494,646,000 | Lean | UTF-8 | Lean | false | false | 1,857 | lean | /-
Copyright (c) 2019 Seul Baek. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Seul Baek
Linear combination of constraints.
-/
import tactic.omega.clause
namespace omega
@[simp] def lin_comb : list nat → list term → term
| [] [] := ⟨0,[]⟩
| [] (_::_) := ⟨0,[]⟩
... |
aecb307b74e6a6f8f177e5b625abccf3f8e9b7f4 | 5749d8999a76f3a8fddceca1f6941981e33aaa96 | /src/topology/dense_embedding.lean | 50cc7e034dfe7f6f800f97530540d4c94702a738 | [
"Apache-2.0"
] | permissive | jdsalchow/mathlib | 13ab43ef0d0515a17e550b16d09bd14b76125276 | 497e692b946d93906900bb33a51fd243e7649406 | refs/heads/master | 1,585,819,143,348 | 1,580,072,892,000 | 1,580,072,892,000 | 154,287,128 | 0 | 0 | Apache-2.0 | 1,540,281,610,000 | 1,540,281,609,000 | null | UTF-8 | Lean | false | false | 14,875 | lean | /-
Copyright (c) 2019 Reid Barton. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro, Patrick Massot
-/
import topology.separation
/-!
# Dense embeddings
This file defines three properties of functions:
`dense_range f` means `f` has ... |
255a6b968378be901948be0442ed43b7da35ac9d | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/ring_theory/witt_vector/verschiebung_auto.lean | 89c618e684ef54f3561d6583f4007e48b7640dc5 | [] | 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 | 5,534 | lean | /-
Copyright (c) 2020 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.ring_theory.witt_vector.basic
import Mathlib.ring_theory.witt_vector.is_poly
import Mathlib... |
f2467605c8085c06aaf352e5f75b0f93db4b7edc | 1abd1ed12aa68b375cdef28959f39531c6e95b84 | /src/algebra/continued_fractions/computation/terminates_iff_rat.lean | c3305ec8d05a571e2d114f019c8853649c651f60 | [
"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 | 14,243 | lean | /-
Copyright (c) 2020 Kevin Kappelmann. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kevin Kappelmann
-/
import algebra.continued_fractions.computation.approximations
import algebra.continued_fractions.computation.correctness_terminating
import data.rat
/-!
# Termina... |
6438bbca422c4f3bb5d32b85fe47f8a4082f6457 | ce6917c5bacabee346655160b74a307b4a5ab620 | /src/ch3/ex0504.lean | 16bbdaadbfca53501c3856cf8abc992e483bef68 | [] | 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 | 132 | lean | open classical
variable p : Prop
example (h : ¬¬p) : p :=
by_contradiction
(assume h1 : ¬p,
show false, from h h1)
|
7c25a06f4d5c754ba5c44740c120ddaf96a917ac | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /tests/lean/var2.lean | 8dff452c12e43d0b7ac847f4a9be041037ad2724 | [
"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 | 176 | lean | --
section
universe l
variable A : Type.{l}
variable a : A
parameter B : Type.{l}
parameter b : B
definition foo := fun (H : A = B), cast H a = b
end
check foo
|
287868b6fc49378620a4c7636542f74f4e5cf234 | 63abd62053d479eae5abf4951554e1064a4c45b4 | /test/library_search/nat.lean | a8f8b1f6604bc4ddf71737d818a1656fe09c958d | [
"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 | 2,471 | 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.suggest
import data.nat.basic
namespace test.library_search
/- Turn off trace messages so they don't pollute the test build: -/
set_option trace.silen... |
059f72e079deb729527f3e9199b7ccd276770f08 | a45212b1526d532e6e83c44ddca6a05795113ddc | /src/group_theory/coset.lean | 33171bacdfb1bbb284c2c0dc67c6ee0278a24a14 | [
"Apache-2.0"
] | permissive | fpvandoorn/mathlib | b21ab4068db079cbb8590b58fda9cc4bc1f35df4 | b3433a51ea8bc07c4159c1073838fc0ee9b8f227 | refs/heads/master | 1,624,791,089,608 | 1,556,715,231,000 | 1,556,715,231,000 | 165,722,980 | 5 | 0 | Apache-2.0 | 1,552,657,455,000 | 1,547,494,646,000 | Lean | UTF-8 | Lean | false | false | 11,454 | lean | /-
Copyright (c) 2018 Mitchell Rowett. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mitchell Rowett, Scott Morrison
-/
import group_theory.subgroup data.equiv.basic data.quot
open set function
variable {α : Type*}
@[to_additive left_add_coset]
def left_coset [has_m... |
c4e515990801f4662a6048805506643341d51cdf | a7eef317ddec01b9fc6cfbb876fe7ac00f205ac7 | /src/linear_algebra/bilinear_form.lean | bdeb5de8a72b779c4c6f8e89e94c24606f990eb2 | [
"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 | 28,124 | lean | /-
Copyright (c) 2018 Andreas Swerdlow. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Andreas Swerdlow
-/
import linear_algebra.matrix
import linear_algebra.tensor_product
import linear_algebra.nonsingular_inverse
/-!
# Bilinear form
This file defines a bilinear for... |
50333de789dec6f94330fb31d2b16495c91ee139 | 302c785c90d40ad3d6be43d33bc6a558354cc2cf | /src/algebra/group/hom.lean | 770dafb922f9b853787a72ae047c4e4921355dbc | [
"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 | 37,540 | lean | /-
Copyright (c) 2018 Patrick Massot. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Patrick Massot, Kevin Buzzard, Scott Morrison, Johan Commelin, Chris Hughes,
Johannes Hölzl, Yury Kudryashov
-/
import algebra.group.commute
import algebra.group_with_zero.defs
/-!
... |
fe2cdb6dd4834b408b5cd1294fa38f06b29ed7ad | e61a235b8468b03aee0120bf26ec615c045005d2 | /src/Init/Lean/Elab/Command.lean | f817013cd6e137c1c5dc0144cdeee9c6964b9013 | [
"Apache-2.0"
] | permissive | SCKelemen/lean4 | 140dc63a80539f7c61c8e43e1c174d8500ec3230 | e10507e6615ddbef73d67b0b6c7f1e4cecdd82bc | refs/heads/master | 1,660,973,595,917 | 1,590,278,033,000 | 1,590,278,033,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 25,729 | 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.Elab.Alias
import Init.Lean.Elab.Log
import Init.Lean.Elab.ResolveName
import Init.Lean.Elab.Term
import Init.Lean.Elab.Binders
imp... |
4a9500f3d3960e09fa6768a7f453d4a0b3009b36 | 7cef822f3b952965621309e88eadf618da0c8ae9 | /src/ring_theory/localization.lean | 545e5559f68852e05a283a9457894fefe46addff | [
"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 | 24,535 | lean | /-
Copyright (c) 2018 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau, Mario Carneiro, Johan Commelin
-/
import tactic.ring data.quot data.equiv.algebra ring_theory.ideal_operations group_theory.submonoid
universes u v
namespace localization
varia... |
916bf54f9885adaac0263612b7546bcefaa7cd9b | 94e33a31faa76775069b071adea97e86e218a8ee | /src/ring_theory/localization/localization_localization.lean | 0bb2ef93f76c624213014fa392eda2955e02cb3b | [
"Apache-2.0"
] | permissive | urkud/mathlib | eab80095e1b9f1513bfb7f25b4fa82fa4fd02989 | 6379d39e6b5b279df9715f8011369a301b634e41 | refs/heads/master | 1,658,425,342,662 | 1,658,078,703,000 | 1,658,078,703,000 | 186,910,338 | 0 | 0 | Apache-2.0 | 1,568,512,083,000 | 1,557,958,709,000 | Lean | UTF-8 | Lean | false | false | 13,072 | lean | /-
Copyright (c) 2018 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau, Mario Carneiro, Johan Commelin, Amelia Livingston, Anne Baanen
-/
import ring_theory.localization.at_prime
import ring_theory.localization.basic
import ring_theory.localization.f... |
af4f79321aaa1deedd6bff4e4ba8597bd2cf72aa | 08bd4ba4ca87dba1f09d2c96a26f5d65da81f4b4 | /src/Lean/SubExpr.lean | e8c705e9ed5ed72a58d7a4de1d8633d48cba4425 | [
"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",
"Apache-2.0",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | gebner/lean4 | d51c4922640a52a6f7426536ea669ef18a1d9af5 | 8cd9ce06843c9d42d6d6dc43d3e81e3b49dfc20f | refs/heads/master | 1,685,732,780,391 | 1,672,962,627,000 | 1,673,459,398,000 | 373,307,283 | 0 | 0 | Apache-2.0 | 1,691,316,730,000 | 1,622,669,271,000 | Lean | UTF-8 | Lean | false | false | 6,982 | lean | /-
Copyright (c) 2021 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sebastian Ullrich, Daniel Selsam, Wojciech Nawrocki, E.W.Ayers
-/
import Lean.Meta.Basic
import Lean.Data.Json
import Lean.Data.RBMap
namespace Lean
/-- A position of a subexp... |
a1ae2325bf9033512bd9b483734008708871872b | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/data/set/pointwise/smul.lean | fadc4414c6e4f70219978011d61aaaab86456c23 | [
"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 | 26,469 | lean | /-
Copyright (c) 2019 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin, Floris van Doorn
-/
import algebra.module.basic
import data.set.pairwise
import data.set.pointwise.basic
/-!
# Pointwise operations of sets
This file defines pointwis... |
fd7993e69478a9f16c9eb450ca35a9a81a25a078 | 5ee26964f602030578ef0159d46145dd2e357ba5 | /src/valuation/basic.lean | 7695d89594da5b247b72d9715dd660ec736716ff | [
"Apache-2.0"
] | permissive | fpvandoorn/lean-perfectoid-spaces | 569b4006fdfe491ca8b58dd817bb56138ada761f | 06cec51438b168837fc6e9268945735037fd1db6 | refs/heads/master | 1,590,154,571,918 | 1,557,685,392,000 | 1,557,685,392,000 | 186,363,547 | 0 | 0 | Apache-2.0 | 1,557,730,933,000 | 1,557,730,933,000 | null | UTF-8 | Lean | false | false | 29,288 | lean | import algebra.group_power
import ring_theory.ideal_operations
import ring_theory.localization
import ring_theory.subring
import for_mathlib.rings
import for_mathlib.linear_ordered_comm_group
import for_mathlib.equiv
/- valuations.basic
The basic theory of valuations (non-archimedean norms) on a commutati... |
fa510e1b00c02dd3d22e54655b706f47fbca7074 | fbf512ee44de430e3d3c5869751ad95325c938d7 | /reify.lean | 893bfcba69259fb2beadf34db787c36b1ee9b2ef | [] | no_license | skbaek/clausify | 4858c9005fb86a5e410bfcaa77524f82d955f655 | d09b071bdcce7577c3fffacd0893b776285b1590 | refs/heads/master | 1,588,360,590,818 | 1,553,553,880,000 | 1,553,553,880,000 | 177,644,542 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,154 | lean | import .form .abst
variable {α : Type}
open tactic expr
meta def get_domain_core : expr → tactic expr
| `(¬ %%p) := get_domain_core p
| `(%%p ∨ %%q) := get_domain_core p <|> get_domain_core q
| `(%%p ∧ %%q) := get_domain_core p <|> get_domain_core q
| `(%%p ↔ %%q) := get_domain_core p <|> get_domain_core q
| ... |
d0ed39183654b8446de3a3a0428210cae8e5f7c8 | 618003631150032a5676f229d13a079ac875ff77 | /src/tactic/omega/find_ees.lean | 8c90d658ed6fc95041ab278de6bb5e733e8c5ed2 | [
"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 | 5,559 | lean | /- Copyright (c) 2019 Seul Baek. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Seul Baek
A tactic for finding a sequence of equality
elimination rules for a given set of constraints. -/
import tactic.omega.eq_elim
variables {α β : Type}
open tactic
namespace omega
... |
90331dc4bb817219c375666e03363d937d6da7ee | 500f65bb93c499cd35c3254d894d762208cae042 | /src/set_theory/cardinal.lean | 7fd66777987533e1aeed7b54e368428e097ea8c4 | [
"Apache-2.0"
] | permissive | PatrickMassot/mathlib | c39dc0ff18bbde42f1c93a1642f6e429adad538c | 45df75b3c9da159fe3192fa7f769dfbec0bd6bda | refs/heads/master | 1,623,168,646,390 | 1,566,940,765,000 | 1,566,940,765,000 | 115,220,590 | 0 | 1 | null | 1,514,061,524,000 | 1,514,061,524,000 | null | UTF-8 | Lean | false | false | 42,389 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Johannes Hölzl, Mario Carneiro
-/
import data.set.countable data.quot logic.function set_theory.schroeder_bernstein
/-!
# Cardinal Numbers
We define cardinal numbers as a quotient of... |
bc8abfa719e7cf8f313896f1c2887d07b160f698 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/run/blast19.lean | 32ff2b8a6544962238ccbe9c1cca519e903a60f4 | [
"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 | 568 | lean | -- Backward chaining with hypotheses
set_option blast.strategy "backward"
constants {P Q R S T U : Prop}
constants (Huq : U → Q) (Hur : U → R) (Hus : U → S) (Hut : U → T)
attribute Huq [intro]
attribute Hur [intro]
attribute Hus [intro]
attribute Hut [intro]
definition lemma1 : (P → Q) → P → Q := by blast
definition l... |
5ed40a2aa2223fed22148dc18850107bc25ae39f | e9dbaaae490bc072444e3021634bf73664003760 | /src/Problems/2010/IMO_2010_P2.lean | ac6eb9df0c620083a3a7107b0c5eef27cd0ed7ac | [
"Apache-2.0"
] | permissive | liaofei1128/geometry | 566d8bfe095ce0c0113d36df90635306c60e975b | 3dd128e4eec8008764bb94e18b932f9ffd66e6b3 | refs/heads/master | 1,678,996,510,399 | 1,581,454,543,000 | 1,583,337,839,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 562 | lean | import Geo.Geo.Core
namespace Geo
open Angle Triangle
def IMO_2010_P2 : Prop :=
∀ (A B C D E F : Point),
let I := incenter ⟨A, B, C⟩;
let Γ := Triangle.circumcircle ⟨A, B, C⟩;
intersectAt₂ (Line.mk A I) Γ A D →
on E (Arc.mk Γ B C A) → -- ryankrue: note the utility of the avoid construction here
on F (Seg.mk B C) →
u... |
51bdbf4e30380d7766c38e638819952550f1b387 | 367134ba5a65885e863bdc4507601606690974c1 | /src/topology/sheaves/stalks.lean | 4f7b431f3e1407c9156289a3b460295500687e9c | [
"Apache-2.0"
] | permissive | kodyvajjha/mathlib | 9bead00e90f68269a313f45f5561766cfd8d5cad | b98af5dd79e13a38d84438b850a2e8858ec21284 | refs/heads/master | 1,624,350,366,310 | 1,615,563,062,000 | 1,615,563,062,000 | 162,666,963 | 0 | 0 | Apache-2.0 | 1,545,367,651,000 | 1,545,367,651,000 | null | UTF-8 | Lean | false | false | 6,786 | 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.open_nhds
import topology.sheaves.presheaf
import category_theory.limits.limits
import category_theory.limits.types
noncomputable theory... |
a7ada9e0d2cc87f1b4fd475fc5f6edbee5376a09 | c777c32c8e484e195053731103c5e52af26a25d1 | /src/measure_theory/integral/bochner.lean | 82ee783fd13b7318eb396d75bae800e70c8a3587 | [
"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 | 84,629 | lean | /-
Copyright (c) 2019 Zhouhang Zhou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Zhouhang Zhou, Yury Kudryashov, Sébastien Gouëzel, Rémy Degenne
-/
import measure_theory.integral.set_to_l1
/-!
# Bochner integral
The Bochner integral extends the definition of the L... |
69693430e38f3e8c996be20c0eed1ad592c0cf23 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/analysis/complex/upper_half_plane/functions_bounded_at_infty.lean | d8732563824f19c21b76599728e4e040a724b908 | [
"Apache-2.0"
] | permissive | jcommelin/mathlib | d8456447c36c176e14d96d9e76f39841f69d2d9b | ee8279351a2e434c2852345c51b728d22af5a156 | refs/heads/master | 1,664,782,136,488 | 1,663,638,983,000 | 1,663,638,983,000 | 132,563,656 | 0 | 0 | Apache-2.0 | 1,663,599,929,000 | 1,525,760,539,000 | Lean | UTF-8 | Lean | false | false | 3,708 | lean | /-
Copyright (c) 2022 Chris Birkbeck. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Birkbeck, David Loeffler
-/
import algebra.module.submodule.basic
import analysis.complex.upper_half_plane.basic
import order.filter.zero_and_bounded_at_filter
/-!
# Bounded at... |
ad1826893d5bb5b4ede55cdf7b0c654e823577aa | 57aec6ee746bc7e3a3dd5e767e53bd95beb82f6d | /tests/lean/run/synth1.lean | 767a7b7912ba66d3206bd30fd74060198cf07a1b | [
"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 | 1,553 | lean | import Lean.Meta
open Lean
open Lean.Meta
class HasCoerce (a b : Type) :=
(coerce : a → b)
def coerce {a b : Type} [HasCoerce a b] : a → b :=
@HasCoerce.coerce a b _
instance coerceTrans {a b c : Type} [HasCoerce b c] [HasCoerce a b] : HasCoerce a c :=
⟨fun x => coerce (coerce x : b)⟩
instance coerceBoolToProp : H... |
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