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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
37ef2a94ef53bdd8819f8a4dac3d0950d8a344e5 | 9dd3f3912f7321eb58ee9aa8f21778ad6221f87c | /library/init/data/prod.lean | 4e86df46b6e18d5b0cfe022621638a5404f7a461 | [
"Apache-2.0"
] | permissive | bre7k30/lean | de893411bcfa7b3c5572e61b9e1c52951b310aa4 | 5a924699d076dab1bd5af23a8f910b433e598d7a | refs/heads/master | 1,610,900,145,817 | 1,488,006,845,000 | 1,488,006,845,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 841 | 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
-/
prelude
import init.logic
universes u v
instance {α : Type u} {β : Type v} [inhabited α] [inhabited β] : inhabited (prod α β) :=
⟨(default α,... |
4622e924dd21647488a8cf3c29883e2936c679d8 | 3a7eb58cccd9e625ebf79689f8f0f244a20b6158 | /old/vec.lean | 6137ea00b810f64f0fdb64c0c9a06e3db700ab69 | [] | no_license | hermetique/lean4-raytracer | c1ea6336dbb44296af60ee8e416cc9c87d6827a9 | 092c9a6c4ee612786082b807491ccefaed961462 | refs/heads/master | 1,677,468,320,587 | 1,612,291,379,000 | 1,612,291,379,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 9,263 | lean | import render.ArrayExtra
import render.NatExtra
import render.Algebra
def Function.leftInverse (g : β → α) (f : α → β) : Prop := ∀ x, g (f x) = x
def Function.rightInverse (g : β → α) (f : α → β) : Prop := Function.leftInverse f g
structure Equiv (α : Sort u) (β : Sort v) where
toFun : α → β
invFun : β → α
... |
95fb3121468d51925227a0f35acf2ce4fb8ad6ca | 80cc5bf14c8ea85ff340d1d747a127dcadeb966f | /src/category_theory/limits/functor_category.lean | 9459ced3a5efeab4357edbcfb3658f257f1d1689 | [
"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 | 7,384 | 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 category_theory.limits.preserves.basic
open category_theory category_theory.category
namespace category_theory.limits
universes v v₂ u -- declare the `v`'s ... |
e6cad0013a059e78ebe74adb68c6a8687d1f8538 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/def6.lean | a5c030689173ee3194158a8cbc4a8d56e8c91cb9 | [
"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 | 393 | lean |
inductive vec (A : Type) : nat → Type
| nil {} : vec 0
| cons : Π {n}, A → vec n → vec (n+1)
open vec
definition h {A : Type} : ∀ {n}, vec A (n+1) → A
| n (cons a v) := a
definition t {A : Type} : ∀ {n}, vec A (n+1) → vec A n
| n (cons a v) := v
example {A n} (a : A) (v : vec A n) : h (cons a v) = a :=
rfl
exam... |
10b8dd1e0bcafb0097c3b77933bd5d1049aa10f8 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/category_theory/limits/shapes/normal_mono/equalizers.lean | 1c620830185d1964b1e733c92d3608bc61df2d12 | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 12,334 | 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.normal_mono.basic
import category_theory.limits.shapes.finite_products
/-!
# Normal mono categories with finite products and kerne... |
205989037e9b6399f3f2897e14c1f40fb062c366 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/measure_theory/measure/hausdorff.lean | 10076b104abbb2d38ccb906a4669780162185c64 | [
"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 | 44,818 | lean | /-
Copyright (c) 2021 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov
-/
import analysis.special_functions.pow
import logic.equiv.list
import measure_theory.constructions.borel_space
import measure_theory.measure.lebesgue
import topology... |
6d91573b6d17b3a3b4a27dd708aeee460e283a95 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/algebra/big_operators/basic.lean | a18f1b3212ae07efd4f94fa1c1fc9f547bd3b931 | [
"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 | 66,345 | 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 algebra.group.pi
import algebra.ring.opposite
import data.equiv.mul_add
import data.finset.fold
import data.fintype.basic
import data.set.pairwise
/-!
# Big ... |
44b0e314fc311ddc17b7c462bbee63f7270f2e46 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/ring_theory/fintype.lean | 1601ef59a17b0d2d81fa51b1128379cfbae1d9a4 | [
"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 | 510 | lean | /-
Copyright (c) 2020 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import algebra.associated
import data.fintype.basic
/-!
# Some facts about finite rings
-/
open_locale classical
lemma card_units_lt (M₀ : Type*) [monoid_with_zero... |
ca819d5fd98e885f6a99f487652f2dd97396a3e2 | dd0f5513e11c52db157d2fcc8456d9401a6cd9da | /02_Dependent_Type_Theory.org.21.lean | ea465bc9682951167d65d67ad7f13322fe20448d | [] | 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 | 232 | lean | /- page 21 -/
import standard
import data.nat
open nat
definition foo := let a := nat in λ x : a, x + 2
/-
definition bar := (λ a, λ x : a, x + 2) nat
-/
/-
(λ a, λ x : a, x + 2) bool does not make sense, for example.
-/
|
e07add5bd9878a4b6903b982a5fb0b41c51fba47 | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /tests/lean/run/meta_tac6.lean | 3dbc5cfd2e3ed5ba767423945f698fd2dfebe798 | [
"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 | 717 | lean | open tactic name list
set_option pp.goal.compact true
set_option pp.binder_types true
example : ∀ (A B : Prop), A → A ∧ B → A → A :=
by do
intro_lst [`_, `_, `H1, `H2, `H3],
n : nat ← num_goals,
ctx : list expr ← local_context,
trace "Context: ",
foreach ctx (λ e,
do t ← infer_type e,
... |
0f8ee9bf7c790d37586d37a253f802fc4774e26f | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/order/succ_pred/linear_locally_finite.lean | 2f0c15a1e5ba92faf45ced3e38ffa7b60844e689 | [
"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 | 17,631 | lean | /-
Copyright (c) 2022 Rémy Degenne. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Rémy Degenne
-/
import order.locally_finite
import order.succ_pred.basic
import order.hom.basic
import data.countable.basic
import logic.encodable.basic
/-!
# Linear locally finite ord... |
45b8ce5e02be35bb3d55c78f059e16081735c077 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/category_theory/bicategory/locally_discrete.lean | 650a1097b41d554bc6f0494b4493f89c7e0530c4 | [
"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 | 3,639 | lean | /-
Copyright (c) 2022 Yuma Mizuno. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yuma Mizuno
-/
import category_theory.discrete_category
import category_theory.bicategory.functor
import category_theory.bicategory.strict
/-!
# Locally discrete bicategories
A category... |
0c6fe102e7b3fcd86ca8f94df2893b9fac5f1de4 | 5ae26df177f810c5006841e9c73dc56e01b978d7 | /src/data/nat/prime.lean | da18ea171e1324c7b2e161c800498b87f2e48c9e | [
"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 | 18,223 | lean | /-
Copyright (c) 2015 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura, Jeremy Avigad, Mario Carneiro
Prime numbers.
-/
import data.nat.sqrt data.nat.gcd data.list.basic data.list.perm tactic.wlog
open bool subtype
namespace nat... |
f88a093a84d26c2e36ecbfd253db42c218a710b9 | a047a4718edfa935d17231e9e6ecec8c7b701e05 | /src/group_theory/sylow.lean | 06135858775e86c01f75d1b94112279a217b789a | [
"Apache-2.0"
] | permissive | utensil-contrib/mathlib | bae0c9fafe5e2bdb516efc89d6f8c1502ecc9767 | b91909e77e219098a2f8cc031f89d595fe274bd2 | refs/heads/master | 1,668,048,976,965 | 1,592,442,701,000 | 1,592,442,701,000 | 273,197,855 | 0 | 0 | null | 1,592,472,812,000 | 1,592,472,811,000 | null | UTF-8 | Lean | false | false | 11,847 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes
-/
import group_theory.group_action
import group_theory.quotient_group
import group_theory.order_of_element
import data.zmod.basic
import data.fintype.card
import data.list.... |
0a802ef4bf479100f5cce51cade271dc6bfe1b04 | 0845ae2ca02071debcfd4ac24be871236c01784f | /tests/playground/task_test3.lean | 8eb5b23a7967c5e3a9208e60b92d77c8d4e01d79 | [
"Apache-2.0"
] | permissive | GaloisInc/lean4 | 74c267eb0e900bfaa23df8de86039483ecbd60b7 | 228ddd5fdcd98dd4e9c009f425284e86917938aa | refs/heads/master | 1,643,131,356,301 | 1,562,715,572,000 | 1,562,715,572,000 | 192,390,898 | 0 | 0 | null | 1,560,792,750,000 | 1,560,792,749,000 | null | UTF-8 | Lean | false | false | 437 | lean | def run1 (i : Nat) (n : Nat) (xs : List Nat) : Nat :=
n.repeat (λ r,
-- dbgTrace (">> [" ++ toString i ++ "] " ++ toString r) $ λ _,
xs.foldl (+) (r+i))
0
def main (xs : List String) : IO UInt32 :=
let ys := (List.replicate xs.head.toNat 1) in
let ts : List (Task Nat) := (List.iota 10).map (λ i, Task.mk $ λ _, run... |
1dce4d604c37a90c80c33d292d89ad8a6d4c0553 | b147e1312077cdcfea8e6756207b3fa538982e12 | /tactic/wlog.lean | f793f1802ca17afbc530de5f5cef37e1649eb901 | [
"Apache-2.0"
] | permissive | SzJS/mathlib | 07836ee708ca27cd18347e1e11ce7dd5afb3e926 | 23a5591fca0d43ee5d49d89f6f0ee07a24a6ca29 | refs/heads/master | 1,584,980,332,064 | 1,532,063,841,000 | 1,532,063,841,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 9,224 | lean | /-
Copyright (c) 2018 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
Without loss of generality tactic.
-/
import tactic.basic tactic.interactive
open expr tactic lean lean.parser
local postfix `?`:9001 := optional
local postfix *:9001... |
3a081c5e5b3e61bb7bf1c172e7a1071df30236c0 | 6dc0c8ce7a76229dd81e73ed4474f15f88a9e294 | /stage0/src/Lean/KeyedDeclsAttribute.lean | 045333d273e709fb3611bc2362de5cea1a97bb46 | [
"Apache-2.0"
] | permissive | williamdemeo/lean4 | 72161c58fe65c3ad955d6a3050bb7d37c04c0d54 | 6d00fcf1d6d873e195f9220c668ef9c58e9c4a35 | refs/heads/master | 1,678,305,356,877 | 1,614,708,995,000 | 1,614,708,995,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 6,800 | 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, Sebastian Ullrich
-/
import Lean.Attributes
import Lean.Compiler.InitAttr
import Lean.ToExpr
/-!
A builder for attributes that are applied to declarations of... |
687570b22155d4752e5f8f90b49011cc89786d51 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/run/1007.lean | 2bf207bed95518be1ff49070b5c8361183936f01 | [
"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 | 724 | lean | import algebra.group
open algebra
definition is_homomorphism [class] {G₁ G₂ : Type} [group G₁] [group G₂] (φ : G₁ → G₂) : Prop :=
Π(g h : G₁), φ (g * h) = φ g * φ h
-- set_option pp.all true
definition apply_iso {G₁ G₂ : Type} [group G₁] [group G₂] {φ : G₁ → G₂} [H : is_homomorphism φ] (g h : G₁) : φ (g * h) = φ g ... |
7060f7a8338bfe7d1ed0d48ea8cc1838748cd146 | e00ea76a720126cf9f6d732ad6216b5b824d20a7 | /archive/sensitivity.lean | e8c8eacc80d4c01fab35b294464277550d2bdc6b | [
"Apache-2.0"
] | permissive | vaibhavkarve/mathlib | a574aaf68c0a431a47fa82ce0637f0f769826bfe | 17f8340912468f49bdc30acdb9a9fa02eeb0473a | refs/heads/master | 1,621,263,802,637 | 1,585,399,588,000 | 1,585,399,588,000 | 250,833,447 | 0 | 0 | Apache-2.0 | 1,585,410,341,000 | 1,585,410,341,000 | null | UTF-8 | Lean | false | false | 16,074 | lean | /-
Copyright (c) 2019 Reid Barton, Johan Commelin, Jesse Han, Chris Hughes, Robert Y. Lewis, and
Patrick Massot. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Reid Barton, Johan Commelin, Jesse Han, Chris Hughes, Robert Y. Lewis, and Patrick Massot
-/
import tactic.f... |
a61e169d2ace1e5b80ca6d6700d2101e5133ab90 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/lake/Lake/CLI.lean | 2695b6a4cf4dbb89eca28a66434ae5849fb0757f | [
"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 | 167 | lean | /-
Copyright (c) 2021 Mac Malone. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mac Malone
-/
import Lake.CLI.Main
|
ccfbae2d55c76aa954abb0e73bf7a8f376309106 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/Lean/Elab/MacroArgUtil.lean | de59e5dedf451d507d57113f7c25b2e51b5daa5c | [
"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 | 3,984 | 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
namespace Lean.Elab.Command
open Lean.Syntax
open Lean.Parser.Term hiding macroArg
open Lean.Parser.Command
/-- Convert `macro` ar... |
d4b32684f284d4cbabc73ea5dd53f6e3f1597945 | 19cc34575500ee2e3d4586c15544632aa07a8e66 | /src/data/polynomial/algebra_map.lean | bfe595e0047e3b6cb7479d9084a1fa872d6311b8 | [
"Apache-2.0"
] | permissive | LibertasSpZ/mathlib | b9fcd46625eb940611adb5e719a4b554138dade6 | 33f7870a49d7cc06d2f3036e22543e6ec5046e68 | refs/heads/master | 1,672,066,539,347 | 1,602,429,158,000 | 1,602,429,158,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 8,666 | 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
We show that `polynomial A` is an R-algebra when `A`... |
eb09cdcec047c155e5208e35b80bd5ae430dfc9f | 4fa118f6209450d4e8d058790e2967337811b2b5 | /src/for_mathlib/nnreal.lean | ccf44e0e0f4c3c430f3de6aa642d43c928a0c28d | [
"Apache-2.0"
] | permissive | leanprover-community/lean-perfectoid-spaces | 16ab697a220ed3669bf76311daa8c466382207f7 | 95a6520ce578b30a80b4c36e36ab2d559a842690 | refs/heads/master | 1,639,557,829,139 | 1,638,797,866,000 | 1,638,797,866,000 | 135,769,296 | 96 | 10 | Apache-2.0 | 1,638,797,866,000 | 1,527,892,754,000 | Lean | UTF-8 | Lean | false | false | 1,524 | lean | import data.real.nnreal
import analysis.complex.exponential
import valuation.linear_ordered_comm_group_with_zero
namespace nnreal
@[simp, move_cast] lemma coe_max (x y : nnreal) : ((max x y : nnreal) : ℝ) = max (x : ℝ) (y : ℝ) :=
by { delta max, split_ifs; refl }
noncomputable instance : has_pow nnreal ℝ :=
{ pow ... |
671c3e3c05c25e1ac8720ba385dbd497f4d34c05 | 94e33a31faa76775069b071adea97e86e218a8ee | /src/order/filter/cofinite.lean | 02f6be134ff89be18304127b3c016b9ebbf90bad | [
"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 | 7,267 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Jeremy Avigad, Yury Kudryashov
-/
import order.filter.at_top_bot
import order.filter.pi
/-!
# The cofinite filter
In this file we define
`cofinite`: the filter of se... |
2744c0b99761e3a09675de3d6dd9f87aac2bc712 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/run/fold.lean | aef1fd6188b03ffcfffc86e87af7d09fb3c401f0 | [
"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 | 260 | lean | -- definition id {A : Type} (a : A) := a
example (a b c : nat) : id a = id b → a = b :=
begin
intro H,
fold [id a, id b],
assumption
end
example (a b c : nat) : id a = id b → a = b :=
begin
intro H,
fold (id a),
fold (id b),
assumption
end
|
31eeaa32654f6586187fbf4a9b9b2a81868483dc | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/Lean3Lib/init/meta/fun_info.lean | 12cad9cc4f37711e4bb80dbef4413baaacdb571b | [] | no_license | AurelienSaue/Mathlib4_auto | f538cfd0980f65a6361eadea39e6fc639e9dae14 | 590df64109b08190abe22358fabc3eae000943f2 | refs/heads/master | 1,683,906,849,776 | 1,622,564,669,000 | 1,622,564,669,000 | 371,723,747 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,294 | 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.format
import Mathlib.Lean3Lib.init.function
universes ... |
5063f7f4c3814ff88bc51038388e7674c4deb766 | bbecf0f1968d1fba4124103e4f6b55251d08e9c4 | /src/control/traversable/instances.lean | a44694cfb0eb2930fd24b4b712ff1eb2379f8c74 | [
"Apache-2.0"
] | permissive | waynemunro/mathlib | e3fd4ff49f4cb43d4a8ded59d17be407bc5ee552 | 065a70810b5480d584033f7bbf8e0409480c2118 | refs/heads/master | 1,693,417,182,397 | 1,634,644,781,000 | 1,634,644,781,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 5,408 | lean | /-
Copyright (c) 2018 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon
Instances of `traversable` for types from the core library
-/
import data.list.forall2
import data.set.lattice
import control.traversable.lemmas
universes u v
section optio... |
f891876236737512b024c8cbcf93372cb0501ee1 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /library/algebra/galois_connection.lean | f4628303d3e2f367ca97c7fd1727e2930895476c | [
"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 | 7,492 | lean | /-
Copyright (c) 2016 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Johannes Hölzl
Galois connections - order theoretic adjoints.
-/
import standard
open classical eq.ops algebra set function complete_lattice
/- Move to set? -/
definition kern_image {... |
49b802b01ef93f2bd9cf62c2d6fb1d4ba07e3942 | 5ae26df177f810c5006841e9c73dc56e01b978d7 | /src/category_theory/limits/over.lean | 28acadd0595a2054892eebca41deceebe22e2b6b | [
"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 | 5,933 | lean | /-
Copyright (c) 2018 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin, Reid Barton
-/
import category_theory.comma
import category_theory.limits.preserves
universes v u -- declare the `v`'s first; see `category_theory.category` for an exp... |
c310e27331ba4ad50d4f556139bd1ba814618798 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/algebra/group/basic_auto.lean | 82906efae4cda2870dbb91855ee68350cbe3c00d | [] | 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 | 23,612 | 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, Simon Hudon, Mario Carneiro
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.algebra.group.defs
import Mathlib.logic.funct... |
196a8c429eea710647e3866aa44f89ac69123409 | 4efff1f47634ff19e2f786deadd394270a59ecd2 | /src/algebra/group_ring_action.lean | abf6e077b4919d2034e1ce5a0645a49064a5a8e2 | [
"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 | 8,226 | 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 group_theory.group_action
import data.equiv.ring
import data.polynomial.monic
/-!
# Group action on rings
This file defines the typeclass of monoid acting on semiring... |
8db50e3bd183e1477537f217af8b6aadb24d68a6 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/algebra/category/Module/limits.lean | 73df71fe283c1d7f35a20b3567d5e3f0657916f9 | [] | 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 | 8,589 | lean | /-
Copyright (c) 2020 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.algebra.category.Module.basic
import Mathlib.algebra.category.Group.limits
import Mathlib.a... |
2eb8188bd54d3554cbb4082f6283110294de3e7f | 1a61aba1b67cddccce19532a9596efe44be4285f | /tests/lean/bug1.lean | 7bdbf13640de3b9dc715459ebf7711c8df4bbd5d | [
"Apache-2.0"
] | permissive | eigengrau/lean | 07986a0f2548688c13ba36231f6cdbee82abf4c6 | f8a773be1112015e2d232661ce616d23f12874d0 | refs/heads/master | 1,610,939,198,566 | 1,441,352,386,000 | 1,441,352,494,000 | 41,903,576 | 0 | 0 | null | 1,441,352,210,000 | 1,441,352,210,000 | null | UTF-8 | Lean | false | false | 651 | lean | prelude definition bool : Type.{1} := Type.{0}
definition and (p q : bool) : bool := ∀ c : bool, (p → q → c) → c
infixl `∧`:25 := and
constant a : bool
-- Error
theorem and_intro1 (p q : bool) (H1 : p) (H2 : q) : a
:= fun (c : bool) (H : p -> q -> c), H H1 H2
-- Error
theorem and_intro2 (p q : bool) (H... |
dd04a4252edf0482b19d86714b240aba3d9e8f35 | a45212b1526d532e6e83c44ddca6a05795113ddc | /src/category_theory/natural_transformation.lean | 361c27af3b30933fc3f81383784c7d9da3bad73b | [
"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 | 4,404 | lean | /-
Copyright (c) 2017 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Tim Baumann, Stephen Morgan, Scott Morrison
Defines natural transformations between functors.
Introduces notations
`τ.app X` for the components of natural transformations,
`F ⟶ G... |
2f4c2d2ee1dea7cfd1709e74dcbb9d694c8d409a | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/group_theory/submonoid/basic.lean | ab09cace86cd0958ee5fa02977baed6199e78802 | [
"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 | 16,533 | lean | /-
Copyright (c) 2018 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Kenny Lau, Johan Commelin, Mario Carneiro, Kevin Buzzard,
Amelia Livingston, Yury Kudryashov
-/
import data.set.lattice
/-!
# Submonoids: definition and `complete_latt... |
97abb0a2ce86f3cf39d5e6201a7cc30d76aa59d2 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/linear_algebra/matrix/charpoly/coeff.lean | a8687eddee6174b0b4134e72bea4eb37b873562b | [
"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 | 10,832 | lean | /-
Copyright (c) 2020 Aaron Anderson, Jalex Stark. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Aaron Anderson, Jalex Stark
-/
import algebra.polynomial.big_operators
import data.matrix.char_p
import field_theory.finite.basic
import group_theory.perm.cycles
import l... |
1b4111d72bd9ee980ebcf82dcc33fb8a402c8d1d | 947b78d97130d56365ae2ec264df196ce769371a | /tests/lean/run/struct2.lean | f5dba106741848afd06b99d21defbdb72a91b41d | [
"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 | 244 | lean | new_frontend
universe u
structure A (α : Type u) :=
(f : (β : Type u) → α → β → α)
set_option pp.all true
structure B (α : Type u) extends A α :=
(x : Nat)
(f := fun β a b => a)
#check B.f._default
#check { x := 10 : B Nat}
|
0cbfde6008a2e93a6116b4e27e8a0df2fcb2f9f5 | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /stage0/src/Lean/Data/Json/Stream.lean | 2c26567b6c484df39036b2dcc43f67bb68cdbb3c | [
"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 | 591 | lean | /-
Copyright (c) 2020 Marc Huisinga. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Marc Huisinga
-/
import Init.System.IO
import Lean.Data.Json.Parser
import Lean.Data.Json.Printer
import Lean.Data.Json.FromToJson
namespace IO.FS.Stream
open Lean
open IO
def readJ... |
7ef8fa5237619323edb515b8f476f004124b1f51 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/computability/primrec.lean | 229e9d4946e466483309eaf28799078849fdcfd7 | [
"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 | 51,913 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
import data.equiv.list
import data.list.join
import logic.function.iterate
/-!
# The primitive recursive functions
The primitive recursive functions are the least c... |
1d4d969115343725f203df9d23d43b1a75ce5922 | 02005f45e00c7ecf2c8ca5db60251bd1e9c860b5 | /src/data/set/basic.lean | 18249a25b7033eda8d934baa958150c26528b137 | [
"Apache-2.0"
] | permissive | anthony2698/mathlib | 03cd69fe5c280b0916f6df2d07c614c8e1efe890 | 407615e05814e98b24b2ff322b14e8e3eb5e5d67 | refs/heads/master | 1,678,792,774,873 | 1,614,371,563,000 | 1,614,371,563,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 98,683 | 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
-/
import logic.unique
import order.boolean_algebra
/-!
# Basic properties of sets
Sets in Lean are homogeneous; all their elements have the same type... |
5525fa05ea1ce5d54c7227a92be8e84a0b4b682f | 31f556cdeb9239ffc2fad8f905e33987ff4feab9 | /stage0/src/Lean/Util/Trace.lean | 3cd56affc52a6c7a1b4792115627dcd27cc0da70 | [
"Apache-2.0",
"LLVM-exception",
"NCSA",
"LGPL-3.0-only",
"LicenseRef-scancode-inner-net-2.0",
"BSD-3-Clause",
"LGPL-2.0-or-later",
"Spencer-94",
"LGPL-2.1-or-later",
"HPND",
"LicenseRef-scancode-pcre",
"ISC",
"LGPL-2.1-only",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | tobiasgrosser/lean4 | ce0fd9cca0feba1100656679bf41f0bffdbabb71 | ebdbdc10436a4d9d6b66acf78aae7a23f5bd073f | refs/heads/master | 1,673,103,412,948 | 1,664,930,501,000 | 1,664,930,501,000 | 186,870,185 | 0 | 0 | Apache-2.0 | 1,665,129,237,000 | 1,557,939,901,000 | Lean | UTF-8 | Lean | false | false | 7,272 | lean | /-
Copyright (c) 2018 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sebastian Ullrich, Leonardo de Moura
-/
import Lean.Exception
/-!
# Trace messages
Trace messages explain to the user what problem Lean solved and what steps it took.
Think of... |
1d200dacb5c5ddb56126081953b6cfe8472b116a | bbecf0f1968d1fba4124103e4f6b55251d08e9c4 | /src/data/real/sqrt.lean | 0aa7b8ed7c39f601b8995d24ffc02a1d110534f7 | [
"Apache-2.0"
] | permissive | waynemunro/mathlib | e3fd4ff49f4cb43d4a8ded59d17be407bc5ee552 | 065a70810b5480d584033f7bbf8e0409480c2118 | refs/heads/master | 1,693,417,182,397 | 1,634,644,781,000 | 1,634,644,781,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 11,404 | lean | /-
Copyright (c) 2020 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Floris van Doorn, Yury Kudryashov
-/
import topology.instances.nnreal
import topology.algebra.ordered.monotone_continuity
/-!
# Square root of a real number
In this f... |
e1faaf8399a9e34c229a8fb058a9480f27aa4d5c | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/rewrite.lean | dbee4e7b8678a5f3d078acd408993d81881a9656 | [
"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 | 2,932 | lean | /-!
# Tests exercising basic behaviour of `rw`.
See also `tests/lean/rewrite.lean`.
-/
-- Rewriting by `iff`
example (h : P ↔ Q) (q : Q) : P := by
rw [h]
exact q
example (h : P ↔ Q) (q : Q) : P := by
rw [← h] at q
exact q
def f (_ : Nat) : Nat := 0
def g (n : Nat) : Nat := f n
theorem t (n : Nat) : f n = f ... |
d20ba9aa036d6631473b7dadfd8c5937b9a8f27b | 302c785c90d40ad3d6be43d33bc6a558354cc2cf | /src/tactic/reassoc_axiom.lean | ae8e077c6ef017142cec96e65d4c4d349d0004b2 | [
"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 | 8,011 | lean | /-
Copyright (c) 2019 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon
-/
import category_theory.category
/-!
# Tools to reformulate category-theoretic axioms in a more associativity-friendly way
## The `reassoc` attribute
The `reassoc` attrib... |
be7a612175a8157c716180abbe14caac66a36a17 | e21db629d2e37a833531fdcb0b37ce4d71825408 | /src/parlang/lemmas_thread_state.lean | a171fb9d59ccd11f6f41dafada3bc46724f3b1a1 | [] | no_license | fischerman/GPU-transformation-verifier | 614a28cb4606a05a0eb27e8d4eab999f4f5ea60c | 75a5016f05382738ff93ce5859c4cfa47ccb63c1 | refs/heads/master | 1,586,985,789,300 | 1,579,290,514,000 | 1,579,290,514,000 | 165,031,073 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,598 | lean | import parlang.defs
namespace parlang
namespace thread_state
variables {n : ℕ} {σ : Type} {ι : Type} {τ : ι → Type} [decidable_eq ι]
lemma store_accesses {ts : thread_state σ τ} {i} : i ∉ accesses ts → i ∉ stores ts := begin
unfold accesses,
rw [set.mem_union, not_or_distrib],
intros h,
cases h,
trivial,
... |
e457c9996498aa87a4f5cf65c206b8c0f81729a7 | 07c6143268cfb72beccd1cc35735d424ebcb187b | /src/topology/bases.lean | 6ca09b9b86e702c62c1e64cef427e2a09965fdd3 | [
"Apache-2.0"
] | permissive | khoek/mathlib | bc49a842910af13a3c372748310e86467d1dc766 | aa55f8b50354b3e11ba64792dcb06cccb2d8ee28 | refs/heads/master | 1,588,232,063,837 | 1,587,304,803,000 | 1,587,304,803,000 | 176,688,517 | 0 | 0 | Apache-2.0 | 1,553,070,585,000 | 1,553,070,585,000 | null | UTF-8 | Lean | false | false | 12,276 | 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
Bases of topologies. Countability axioms.
-/
import topology.constructions order.filter.bases
open set filter classical
open_locale topological_space
... |
bff05753928ea4cfd8c889fd407f2d420499e02f | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/category_theory/sites/grothendieck.lean | dd615cb0ccce79e9d1ad8fba7e49f0f2b0d1620e | [
"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 | 22,569 | lean | /-
Copyright (c) 2020 Bhavik Mehta, E. W. Ayers. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Bhavik Mehta, E. W. Ayers
-/
import category_theory.sites.sieves
import category_theory.limits.shapes.pullbacks
import category_theory.limits.shapes.multiequalizer
import c... |
57296d26311cacf4ed4166b933b679910d880ebb | 75db7e3219bba2fbf41bf5b905f34fcb3c6ca3f2 | /tests/lean/hott/ind_tac1.hlean | 9155edd92959dcc12ee366d091b0b91c0e510d26 | [
"Apache-2.0"
] | permissive | jroesch/lean | 30ef0860fa905d35b9ad6f76de1a4f65c9af6871 | 3de4ec1a6ce9a960feb2a48eeea8b53246fa34f2 | refs/heads/master | 1,586,090,835,348 | 1,455,142,203,000 | 1,455,142,277,000 | 51,536,958 | 1 | 0 | null | 1,455,215,811,000 | 1,455,215,811,000 | null | UTF-8 | Lean | false | false | 125 | hlean | set_option pp.universes true
check @homotopy.rec_on
attribute homotopy.rec_on [recursor]
print [recursor] homotopy.rec_on
|
62a701ee7956b2f78cb23e594168faa26451c140 | 302c785c90d40ad3d6be43d33bc6a558354cc2cf | /src/linear_algebra/bilinear_form.lean | 6728a21c00574bd7674b2981cb4bc1a53fc46ca6 | [
"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 | 59,982 | lean | /-
Copyright (c) 2018 Andreas Swerdlow. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Andreas Swerdlow, Kexing Ying
-/
import linear_algebra.matrix
import linear_algebra.tensor_product
import linear_algebra.nonsingular_inverse
/-!
# Bilinear form
This file defines ... |
6770c0e9902051ba96097ffe63359a126463846b | 36c7a18fd72e5b57229bd8ba36493daf536a19ce | /tests/lean/hott/disable_instances.hlean | 1f0b71cf1d02a3c19b36b777bfe6aee6344cdc38 | [
"Apache-2.0"
] | permissive | YHVHvx/lean | 732bf0fb7a298cd7fe0f15d82f8e248c11db49e9 | 038369533e0136dd395dc252084d3c1853accbf2 | refs/heads/master | 1,610,701,080,210 | 1,449,128,595,000 | 1,449,128,595,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 304 | hlean | open is_equiv
constants (A B : Type) (f : A → B)
definition H : is_equiv f := sorry
definition loop [instance] [h : is_equiv f] : is_equiv f :=
h
example (a : A) : let H' : is_equiv f := H in @(inv f) H' (f a) = a :=
begin
with_options [elaborator.ignore_instances true] (apply left_inv f a)
end
|
525dd9b24c2da5fc696c868a0d1031939181a6f0 | 491068d2ad28831e7dade8d6dff871c3e49d9431 | /hott/cubical/square.hlean | 8b023ea9ed9198805cd924585cfeb1add85cbb0f | [
"Apache-2.0"
] | permissive | davidmueller13/lean | 65a3ed141b4088cd0a268e4de80eb6778b21a0e9 | c626e2e3c6f3771e07c32e82ee5b9e030de5b050 | refs/heads/master | 1,611,278,313,401 | 1,444,021,177,000 | 1,444,021,177,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 24,193 | hlean | /-
Copyright (c) 2015 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Floris van Doorn
Squares in a type
-/
import types.eq
open eq equiv is_equiv
namespace eq
variables {A B : Type} {a a' a'' a₀₀ a₂₀ a₄₀ a₀₂ a₂₂ a₂₄ a₀₄ a₄₂ a₄₄ a₁ a₂ a₃ a₄ : A}
... |
8592408c81af0610968894995cc01b7fd1475817 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/assert_tac2.lean | d0bf7256b7e43171d85176ecb9c8e3d8263fac95 | [
"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 | 287 | lean | import data.nat
open nat algebra
example (a b c : nat) : a = 2 → b = 3 → a + b + c = c + 5 :=
begin
intro h1 h2,
have H : a + b = 2 + b, by rewrite h1,
have H : a + b = 2 + 3, by rewrite -h2; exact H,
have H : a + b = 5, from H,
rewrite H,
state,
rewrite add.comm
end
|
93c4ce17dd7ff8abf62e8a5d7871e5e15449c55f | 91b8df3b248df89472cc0b753fbe2bac750aefea | /experiments/lean/src/ddl/binder.lean | fe8f342b9032acc0c52359eb7fcec0f0814774bc | [
"Apache-2.0",
"LicenseRef-scancode-unknown-license-reference"
] | permissive | yeslogic/fathom | eabe5c4112d3b4d5ec9096a57bb502254ddbdf15 | 3960a9466150d392c2cb103c5cb5fcffa0200814 | refs/heads/main | 1,685,349,769,736 | 1,675,998,621,000 | 1,675,998,621,000 | 28,993,871 | 214 | 11 | Apache-2.0 | 1,694,044,276,000 | 1,420,764,938,000 | Rust | UTF-8 | Lean | false | false | 200 | lean | import ddl.host.basic
import ddl.binary.basic
namespace ddl
open ddl
inductive binder (ℓ : Type) : Type
| struct : host.type ℓ → binder
| lam {} : binary.kind → binder
end ddl
|
d1f749e384ef3f01fe72d53de63638cbec2f7aab | 3dc4623269159d02a444fe898d33e8c7e7e9461b | /.github/workflows/G copy.lean | 851eb43fca23dc2401602c4d60874becbb5a1c0e | [] | 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 | 7,881 | lean | import groupk
import category_theory.comma
import category_theory.limits.limits
import category_theory.limits.shapes
import category_theory.yoneda
open category_theory
open category_theory.limits
open category_theory.category
universes v u
open Product_stuff
open lem
/-
The goal is define group obj in a catego... |
b142ab12221a50241a8fa3d8096076477ce7a138 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/t14.lean | 1a22d8132f375b985cd4b2bd29eacac77d7d00d1 | [
"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 | 685 | lean | prelude namespace foo
constant A : Type.{1}
constant a : A
constant x : A
constant c : A
end foo
section
open foo (renaming a->b x->y) (hiding c)
check b
check y
check c -- Error
end
section
open foo (a x)
check a
check x
check c -- Error
end
section
open foo (a x) (hiding c) -- Error
end
... |
5b3e124ef463907602e35f44016754ff23540b0e | 4fa161becb8ce7378a709f5992a594764699e268 | /src/tactic/localized.lean | 1371b91718fd6f2591d77e2cca2dc6fd5c3707f9 | [
"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 | 5,601 | lean | /-
Copyright (c) 2019 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn
-/
import tactic.core
/-!
# Localized notation
This consists of two user-commands which allow you to declare notation and commands localized to a
namespace.
* Dec... |
223cc269ddd2eaa881dfe9b5e26543e989d7e707 | c777c32c8e484e195053731103c5e52af26a25d1 | /src/analysis/fourier/add_circle.lean | f96ad82907a0db7c7979b70cdefca00917ae4bc2 | [
"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 | 23,629 | lean | /-
Copyright (c) 2021 Heather Macbeth. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Heather Macbeth, David Loeffler
-/
import analysis.special_functions.complex.circle
import topology.instances.add_circle
import analysis.inner_product_space.l2_space
import measure_th... |
d9c39b529dfd125bef7b085b6432ac64e7a2cd0e | 1abd1ed12aa68b375cdef28959f39531c6e95b84 | /archive/sensitivity.lean | 5e9393bd2eaa8d7949ee2712b27e8dfd169f41d2 | [
"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 | 15,643 | lean | /-
Copyright (c) 2019 Reid Barton, Johan Commelin, Jesse Han, Chris Hughes, Robert Y. Lewis,
Patrick Massot. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Reid Barton, Johan Commelin, Jesse Han, Chris Hughes, Robert Y. Lewis, Patrick Massot
-/
import tactic.fin_cases... |
8707d30a4a6dfd06a52d9ae1dbad151b2ccc347d | 4727251e0cd73359b15b664c3170e5d754078599 | /src/category_theory/monoidal/coherence_lemmas.lean | 8d8ff40a19d3c88e18092827b7881e5fe31db040 | [
"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 | 2,481 | lean | /-
Copyright (c) 2018 Michael Jendrusch. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Michael Jendrusch, Scott Morrison, Bhavik Mehta, Jakob von Raumer
-/
import category_theory.monoidal.coherence
/-!
# Lemmas which are consequences of monoidal coherence
These lemm... |
237077701efd5c1f6baf04aa85317a4a5f5bcd58 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/analysis/calculus/formal_multilinear_series.lean | 4c7400f75d27644ed469db21ad62b15a1138c2d5 | [
"Apache-2.0"
] | permissive | alreadydone/mathlib | dc0be621c6c8208c581f5170a8216c5ba6721927 | c982179ec21091d3e102d8a5d9f5fe06c8fafb73 | refs/heads/master | 1,685,523,275,196 | 1,670,184,141,000 | 1,670,184,141,000 | 287,574,545 | 0 | 0 | Apache-2.0 | 1,670,290,714,000 | 1,597,421,623,000 | Lean | UTF-8 | Lean | false | false | 12,360 | 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.normed_space.multilinear
/-!
# Formal multilinear series
In this file we define `formal_multilinear_series 𝕜 E F` to be a family of `n`-multi... |
6c86ba8907654cac3fb6027ce339abb2059d26fe | 7fffa00a5bb999b720b69874e6c324f7d8d5e838 | /src/category_theory/limits/shapes/equalizers.lean | d27c4ddd18278b577631e6c0dd9299d7289acfc0 | [
"Apache-2.0"
] | permissive | ocornoc/mathlib | d720550e3c28c1d4d569de196826a4bd1b292ade | 43431be5ab141dcf9a6c7f446cdaf35e4b7f071a | refs/heads/master | 1,615,610,363,242 | 1,583,921,741,000 | 1,583,921,741,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 18,070 | lean | /-
Copyright (c) 2018 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison, Markus Himmel
-/
import data.fintype
import category_theory.limits.limits
import category_theory.limits.shapes.finite_limits
/-!
# Equalizers and coequalizers
This fi... |
4955b84464b050ff19f2595c06ed1562ac9a531b | 4727251e0cd73359b15b664c3170e5d754078599 | /src/analysis/normed_space/int.lean | 1a7f943e95ab5a930287d5e39f5b2331a87c5bbe | [
"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 | 1,522 | 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
/-!
# The integers as normed ring
This file contains basic facts about the integers as normed ring.
Recall that `∥n∥` denotes th... |
6bdddfbdc715b67f1a9a130eb46527f72c475c58 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/algebra/ring/prod.lean | 7266878b8474d028dec4f2fcf8d42d3bdcee26fe | [
"Apache-2.0"
] | permissive | AntoineChambert-Loir/mathlib | 64aabb896129885f12296a799818061bc90da1ff | 07be904260ab6e36a5769680b6012f03a4727134 | refs/heads/master | 1,693,187,631,771 | 1,636,719,886,000 | 1,636,719,886,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 5,998 | lean | /-
Copyright (c) 2020 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Chris Hughes, Mario Carneiro, Yury Kudryashov
-/
import algebra.group.prod
import algebra.ring.basic
import data.equiv.ring
/-!
# Semiring, ring etc structures on `R ... |
0534a807e434412301e4eea924181b35352adb09 | 4bcaca5dc83d49803f72b7b5920b75b6e7d9de2d | /src/Lean/Elab/Tactic/Basic.lean | 57e1f046c58789bd71856e4f6d34b66801458098 | [
"Apache-2.0"
] | permissive | subfish-zhou/leanprover-zh_CN.github.io | 30b9fba9bd790720bd95764e61ae796697d2f603 | 8b2985d4a3d458ceda9361ac454c28168d920d3f | refs/heads/master | 1,689,709,967,820 | 1,632,503,056,000 | 1,632,503,056,000 | 409,962,097 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 14,699 | 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, Sebastian Ullrich
-/
import Lean.Util.CollectMVars
import Lean.Parser.Command
import Lean.Meta.PPGoal
import Lean.Meta.Tactic.Assumption
import Lean.Meta.Tact... |
3d8333bddaa65fdef7359c0a041f96d8bea11978 | 61c3861020ef87c6c325fc3c3dcbabf5d6b07985 | /types/pullback.lean | e98cebed591516c0d102471265cbeb1d9891a836 | [
"Apache-2.0"
] | permissive | jonas-frey/hott3 | a623be2959e8a713c03fa1b0f34bf76a561dfa87 | a944051b4eb5919bdc70978ee15fcbb48a824811 | refs/heads/master | 1,628,408,720,559 | 1,510,267,042,000 | 1,510,267,042,000 | 106,760,764 | 0 | 0 | null | 1,507,856,238,000 | 1,507,856,238,000 | null | UTF-8 | Lean | false | false | 6,279 | lean | /-
Copyright (c) 2015 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Floris van Doorn
Theorems about pullbacks
-/
import cubical.square
universes u v w
hott_theory
namespace hott
open eq equiv is_equiv function prod unit is_trunc sigma
variables ... |
acb7411db51740db95b6f693d484d776062ef131 | 398b53a5e02ce35196531591f84bb2f6b034ce5a | /tpil/chapter2.lean | 2aed09a8a8ae0416371771461a3ee863d9e08f2c | [
"MIT"
] | permissive | crockeo/math-exercises | 64f07a9371a72895bbd97f49a854dcb6821b18ab | cf9150ef9e025f1b7929ba070a783e7a71f24f31 | refs/heads/master | 1,607,910,221,030 | 1,581,231,762,000 | 1,581,231,762,000 | 234,595,189 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,365 | lean | universe u
variables (α β γ : Type u)
-- Exercise 1
--
-- Define the function do_twice, as described in Section 2.4.
def do_twice : (α → α) → α → α :=
λ f : (α → α), λ x : α, f (f x)
-- Exericse 2
--
-- Define the functions curry and uncurry, as described in Section 2.4.
def curry (f : α × β → γ) : α → β → γ :=
λ... |
4b93ae2c7616b50ed0924bcf192163b977191b51 | 7490bf5d40d31857a58062614642bb5a41c36154 | /dm_prod.lean | e1d4dd3219e2007795304251e346db9e4fe62a29 | [] | no_license | reesegrayallen/Lean-Discrete-Mathematics | 9f1d6fe1c814cc9264ce868a67adcf5a82566e22 | 00c875284613ea12e0a729f519738aab8599456b | refs/heads/main | 1,674,181,372,629 | 1,606,801,004,000 | 1,606,801,004,000 | 317,387,970 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,100 | lean | /-
HOMEWORK 3
Reese Allen (rga2uz)
CS2102 - Sullivan
-/
-- defining polymorphic ordered pair abstract data type
inductive dm_prod
(α β : Type ): Type
| mk : α → β → dm_prod
-- function defintions using lambda expressions, c-style (') and by cases ('')
/- FST -/
def fst {α β : Type } : (dm_prod α β) → α :=
λ... |
f67a97798a1f2406190d0341ace6c832de011b9a | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/tactic/core.lean | 6d85cf7de6b787dcc174c979f939b4231524e865 | [
"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 | 93,251 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Simon Hudon, Scott Morrison, Keeley Hoek
-/
import data.dlist.basic
import logic.function.basic
import control.basic
import meta.expr
import meta.rb_map
import data.boo... |
c8f76260d71cb41c51a330b32c7f44e2e2da25a8 | 82b86ba2ae0d5aed0f01f49c46db5afec0eb2bd7 | /src/Lean/Data/Lsp/Basic.lean | 2a704ee99d0bc5b9590d4c734f0b0f32a79ac69a | [
"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 | 8,939 | lean | /-
Copyright (c) 2020 Marc Huisinga. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Marc Huisinga, Wojciech Nawrocki
-/
import Lean.Data.Json
/-! Defines most of the 'Basic Structures' in the LSP specification
(https://microsoft.github.io/language-server-protocol/spe... |
0ce81d926d691efee77fa1a6af307d007138590a | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/topology/sheaves/sheaf_condition/pairwise_intersections.lean | 93c0cf1430110f79d1976cc12fdd4b07d4aaeccd | [
"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 | 17,055 | lean | /-
Copyright (c) 2020 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import topology.sheaves.sheaf_condition.opens_le_cover
import category_theory.limits.final
import category_theory.limits.preserves.basic
import category_theory.categ... |
4c9867d6233c5f1b6c2e1c1a3fcde95072c004ed | 367134ba5a65885e863bdc4507601606690974c1 | /src/category_theory/single_obj.lean | fc8422acb0c9975e11eb886137a811b641fc40b7 | [
"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 | 5,557 | lean | /-
Copyright (c) 2019 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov
-/
import category_theory.endomorphism
import category_theory.category.Cat
import algebra.category.Mon.basic
/-!
# Single-object category
Single object category with... |
936eda2d24845c2613f136eb9040fef3bec8d25a | 3994e03e14a3cbe3858c1098d0ab9ed1113d6666 | /06-formalizacija-dokazov/vaje_delno_resene.lean | 30c02001f599a632d85a20259f7fb7c4bbb09068 | [] | no_license | tadejpetric/tpj-coq | 15f2548ba8f012d9a5b5e0bfb78ab0860d048e96 | dda9fb2e635f9a1302739e34d8692a4252066b76 | refs/heads/master | 1,629,182,614,649 | 1,600,449,570,000 | 1,600,449,570,000 | 222,798,649 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,388 | lean | namespace hidden
universe u
-------------------------------------------------------------------------------
inductive list (A:Type) : Type
| Nil {} : list -- Brez {} moramo konstruktorju Nil vedno podati tip A
| Cons : A -> list -> list -- Cons tip A ugotovi iz tipa prvega elementa
namespace list
-- Dopolnite definic... |
4cf141b380787996873a2ef0922eb233043749cb | 1abd1ed12aa68b375cdef28959f39531c6e95b84 | /src/data/list/lattice.lean | d513e73ceaa7b5896f5ca0c1fc78daf12afa4547 | [
"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 | 11,445 | lean | /-
Copyright (c) 2014 Parikshit Khanna. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Parikshit Khanna, Jeremy Avigad, Leonardo de Moura, Floris van Doorn, Mario Carneiro,
Scott Morrison
-/
import data.list.basic
/-!
# Lattice structure of lists
This files prove bas... |
5d7306bf030352a388ba83417772cf28bde7d9c8 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /archive/imo/imo1969_q1.lean | 29cb566a0fa8220fb0fd7b19d63983a691c57a1c | [
"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 | 2,965 | lean | /-
Copyright (c) 2020 Kevin Lacker. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kevin Lacker
-/
import algebra.group_power.identities
import data.int.nat_prime
import tactic.linarith
import tactic.norm_cast
import data.set.finite
/-!
# IMO 1969 Q1
Prove that there ... |
e7b16255ca629ad3cf846cbde5b4464d76f9e4af | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/analysis/calculus/fderiv/prod.lean | d91f9ef1f8181b61b052eaf33fd2e4815c2a02c4 | [
"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 | 15,731 | 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.fderiv.linear
import analysis.calculus.fderiv.comp
/-!
# Derivative of the cartesian product of functions
... |
ae055282a625127cf90f0be73fd24e8f1d107690 | 4950bf76e5ae40ba9f8491647d0b6f228ddce173 | /src/linear_algebra/multilinear.lean | 47f1012ce1ee5e201f9653339d0d51dd34b9cf1d | [
"Apache-2.0"
] | permissive | ntzwq/mathlib | ca50b21079b0a7c6781c34b62199a396dd00cee2 | 36eec1a98f22df82eaccd354a758ef8576af2a7f | refs/heads/master | 1,675,193,391,478 | 1,607,822,996,000 | 1,607,822,996,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 43,707 | lean | /-
Copyright (c) 2020 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import linear_algebra.basic
import algebra.algebra.basic
import tactic.omega
import data.fintype.sort
/-!
# Multilinear maps
We define multilinear maps as map... |
4fbc43a7f3ac0155075663958b3fd40e577c5136 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/model_theory/order.lean | 640ce8e9546ed9fadf58fbfdcf9004bd9b1038fd | [
"Apache-2.0"
] | permissive | alreadydone/mathlib | dc0be621c6c8208c581f5170a8216c5ba6721927 | c982179ec21091d3e102d8a5d9f5fe06c8fafb73 | refs/heads/master | 1,685,523,275,196 | 1,670,184,141,000 | 1,670,184,141,000 | 287,574,545 | 0 | 0 | Apache-2.0 | 1,670,290,714,000 | 1,597,421,623,000 | Lean | UTF-8 | Lean | false | false | 9,147 | lean | /-
Copyright (c) 2022 Aaron Anderson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Aaron Anderson
-/
import model_theory.semantics
/-!
# Ordered First-Ordered Structures
This file defines ordered first-order languages and structures, as well as their theories.
## M... |
c9b02999064645a98f1b9ff200c115b1a36ea3cb | 453dcd7c0d1ef170b0843a81d7d8caedc9741dce | /linear_algebra/basic.lean | 7cb2828ffe66a5ab162a0e7030fc9b6f6f4c7514 | [
"Apache-2.0"
] | permissive | amswerdlow/mathlib | 9af77a1f08486d8fa059448ae2d97795bd12ec0c | 27f96e30b9c9bf518341705c99d641c38638dfd0 | refs/heads/master | 1,585,200,953,598 | 1,534,275,532,000 | 1,534,275,532,000 | 144,564,700 | 0 | 0 | null | 1,534,156,197,000 | 1,534,156,197,000 | null | UTF-8 | Lean | false | false | 37,201 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Johannes Hölzl
Linear algebra -- classical
This file is inspired by Isabelle/HOL's linear algebra, and hence indirectly by HOL Light.
We define the following concepts:
* `lc α β`: l... |
ad10a95d3b34bbea28ee77202355d9b64b5b8834 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/Lean3Lib/init/meta/congr_lemma.lean | ddbf1e680e3761dbf00b6f191d5ec18626a25f45 | [] | no_license | AurelienSaue/Mathlib4_auto | f538cfd0980f65a6361eadea39e6fc639e9dae14 | 590df64109b08190abe22358fabc3eae000943f2 | refs/heads/master | 1,683,906,849,776 | 1,622,564,669,000 | 1,622,564,669,000 | 371,723,747 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,860 | 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.format
import Mathlib.Lean3Lib.init.function
universes ... |
00ddca1d7d68043d52da82d4a08a54f5367c0908 | 1437b3495ef9020d5413178aa33c0a625f15f15f | /data/set/basic.lean | fd7ad61133a3770973d95399922ce75ed52c019c | [
"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 | 45,125 | lean | /-
Copyright (c) 2014 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Jeremy Avigad, Leonardo de Moura
-/
import tactic.ext tactic.finish data.subtype tactic.interactive
open function
/- set coercion to a type -/
namespace set
instance {α : Type*} : has_... |
4c39a9b866323f04b6daeeec37a8214f9c6c3536 | 13133fade54057ee588bc056e4eaa14a24773d23 | /Proofs/simple_summation.lean | 3ef7360379e2f84665638362ddc3116bf7eca22f | [] | no_license | lkloh/lean-project-15815 | 444cbdca1d1a2dfa258c76c41a6ff846392e13d1 | 2cb657c0e41baa318193f7dce85974ff37d80883 | refs/heads/master | 1,611,402,038,933 | 1,432,020,760,000 | 1,432,020,760,000 | 33,372,120 | 0 | 0 | null | 1,431,932,928,000 | 1,428,078,840,000 | Lean | UTF-8 | Lean | false | false | 600 | lean |
import data.nat
open nat
definition summ : nat → nat
| summ 0 := 0
| summ(n+1) := summ(n) + (n+1)
eval summ 3
theorem two : 1+1 = 2 := rfl
theorem summ_form : ∀ n, 2 * summ n = n*(n+1)
| summ_form 0 := calc
2 * 0 = 0 : mul_zero
... = 0 * (0 + 1) : zero_mul
| summ_form (n+1) := calc
2*summ ... |
a0913a21140a09ed82c9a0e8b7636e0c6b782bc6 | 618003631150032a5676f229d13a079ac875ff77 | /src/tactic/lint/default.lean | 784596dfb21c65733b85e7e86f5654b0875a509b | [
"Apache-2.0"
] | permissive | awainverse/mathlib | 939b68c8486df66cfda64d327ad3d9165248c777 | ea76bd8f3ca0a8bf0a166a06a475b10663dec44a | refs/heads/master | 1,659,592,962,036 | 1,590,987,592,000 | 1,590,987,592,000 | 268,436,019 | 1 | 0 | Apache-2.0 | 1,590,990,500,000 | 1,590,990,500,000 | null | UTF-8 | Lean | false | false | 4,053 | lean | /-
Copyright (c) 2020 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn, Robert Y. Lewis, Gabriel Ebner
-/
import tactic.lint.frontend
import tactic.lint.simp
import tactic.lint.type_classes
import tactic.lint.misc
open tactic
add_tact... |
8f246283d9dd82b71363c1c30c2cb37d11f72f45 | 4c630d016e43ace8c5f476a5070a471130c8a411 | /linear_algebra/tensor_product.lean | 2b4c86e3914113ab3e5ee44c8511eb02bbd0ab52 | [
"Apache-2.0"
] | permissive | ngamt/mathlib | 9a510c391694dc43eec969914e2a0e20b272d172 | 58909bd424209739a2214961eefaa012fb8a18d2 | refs/heads/master | 1,585,942,993,674 | 1,540,739,585,000 | 1,540,916,815,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 12,727 | lean | /-
Copyright (c) 2018 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau
Tensor product of modules over commutative rings.
-/
import group_theory.free_abelian_group
import linear_algebra.linear_map_module
variables {R : Type*} [comm_ring R]
variabl... |
1632a49bd5467e7b3327ab773d7140cb9773413a | 367134ba5a65885e863bdc4507601606690974c1 | /src/tactic/lint/type_classes.lean | 2f16a0e1856d51e0e44f84cd43adb55c1d2034ad | [
"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 | 17,150 | lean | /-
Copyright (c) 2020 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn, Robert Y. Lewis, Gabriel Ebner
-/
import tactic.lint.basic
/-!
# Linters about type classes
This file defines several linters checking the correct usage of type c... |
1c0c79837dd1d1950a01a1a48beca4e1053c93b4 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/category_theory/adjunction/default.lean | d314185bc87f61dad0e3e9c96733793c0c7a1bff | [
"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 | 130 | lean | import category_theory.adjunction.limits
import category_theory.adjunction.opposites
import category_theory.adjunction.reflective
|
c4111424b139cd3c588405bb1cee3a2eb2601f74 | 7cdf3413c097e5d36492d12cdd07030eb991d394 | /world_experiments/world7/level10andtwothirds.lean | fda5530ab61a18a490a7ffdd6371003abea49e3b | [] | no_license | alreadydone/natural_number_game | 3135b9385a9f43e74cfbf79513fc37e69b99e0b3 | 1a39e693df4f4e871eb449890d3c7715a25c2ec9 | refs/heads/master | 1,599,387,390,105 | 1,573,200,587,000 | 1,573,200,691,000 | 220,397,084 | 0 | 0 | null | 1,573,192,734,000 | 1,573,192,733,000 | null | UTF-8 | Lean | false | false | 1,770 | lean | import mynat.definition -- hide
import mynat.add -- hide
import game.world2.level10andathird -- hide
namespace mynat -- hide
/-
# World 2 -- Addition World
## Level 9 -- `add_left_cancel`
The theorem `add_left_cancel` is the theorem that you can cancel on the left
when you're doing addition -- if `a + b = a + c` th... |
d73d5fddb016c69a3414732d900a67954ce235bb | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/instance1.lean | 9db054baa8fdbd04b011683dc85ed14050138d49 | [
"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 | 264 | lean | def Mine := Id
class MyMonad (m) extends Monad m where
bind_eq_bind : @bind = @bind := by trivial
instance : MyMonad Mine where
-- should show me all the fields I need to fill in
-- excluding default and auto-param fields
-- i.e., only `pure` and `bind`
|
0f55b1c7c63f69ced9aab651c689c539e2c8777d | 47181b4ef986292573c77e09fcb116584d37ea8a | /src/for_mathlib/rat.lean | c5855ea5f883626cf08c63532bfa93afbd1104fb | [
"MIT"
] | permissive | RaitoBezarius/berkovich-spaces | 87662a2bdb0ac0beed26e3338b221e3f12107b78 | 0a49f75a599bcb20333ec86b301f84411f04f7cf | refs/heads/main | 1,690,520,666,912 | 1,629,328,012,000 | 1,629,328,012,000 | 332,238,095 | 4 | 0 | MIT | 1,629,312,085,000 | 1,611,414,506,000 | Lean | UTF-8 | Lean | false | false | 1,896 | lean | import data.rat.basic
import data.real.basic
import algebra.group_with_zero.basic
import algebra.group.hom
import for_mathlib.hom
-- From Alex J. Best (?)
lemma rat_mk_eq_div (x_num : ℤ) (x_denom : ℕ) (x_pos : 0 < x_denom) (x_cop : nat.coprime (int.nat_abs x_num) x_denom)
: ({num := x_num, denom := x_denom, pos := x_... |
8591bc31b133613830ff41a3167b3dda2d0c1683 | dce2ec26258c35f21c8a5318a7a2ed297ddba7c6 | /src/ncategory_theory/CatGroups.lean | 9502161941b0d1ecd262954c5ef58c866fbff849 | [] | no_license | nedsu/lean-category-theory-pr | c151c4f95d58a2d3b33e8f38ff7734d85d82e5ee | 8d72f4645d83c72d15afaee7a2df781b952417e9 | refs/heads/master | 1,625,444,569,743 | 1,597,056,476,000 | 1,597,056,476,000 | 145,738,350 | 0 | 0 | null | 1,534,957,201,000 | 1,534,957,201,000 | null | UTF-8 | Lean | false | false | 2,813 | lean | import category_theory.isomorphism
import ncategory_theory.Ndefs
import algebra.group
open category_theory
open category_theory.isomorphism
universes u v
namespace category_theory.CatGroup
variables (C : Type u)
definition D := unit
class CatGroupoid (C : Type u) extends category.{v} C :=
(hominverse : Π {X Y : ... |
d91377c03d78b0cb559e7f2887a5e6b7d8a7485e | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/listex3.lean | ae31b5ae672963d4fc6bc954652ad9b78dd7f878 | [
"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 | 1,363 | lean | universe variable u
constant in_tail {α : Type u} {a : α} (b : α) {l : list α} : a ∈ l → a ∈ b::l
constant in_head {α : Type u} (a : α) (l : list α) : a ∈ a::l
constant in_left {α : Type u} {a : α} {l : list α} (r : list α) : a ∈ l → a ∈ l ++ r
constant in_right {α : Type u} {a : α} (l : l... |
b04b42f4fd13829e068605d464795cb670cb2408 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/algebra/char_p/mixed_char_zero.lean | eb084b3e92e8578c9e49102433d355917e603ca6 | [
"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 | 14,841 | lean | /-
Copyright (c) 2022 Jon Eugster. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jon Eugster
-/
import algebra.char_p.algebra
import algebra.char_p.local_ring
import ring_theory.ideal.quotient
import tactic.field_simp
/-!
# Equal and mixed characteristic
In commutat... |
6048afad3f83023b5a6cb2a904b8217da5456b3d | a0e23cfdd129a671bf3154ee1a8a3a72bf4c7940 | /stage0/src/Init/Data/OfScientific.lean | a354aea0a85004b0ca501d45957fb93cf91f9ae8 | [
"Apache-2.0"
] | permissive | WojciechKarpiel/lean4 | 7f89706b8e3c1f942b83a2c91a3a00b05da0e65b | f6e1314fa08293dea66a329e05b6c196a0189163 | refs/heads/master | 1,686,633,402,214 | 1,625,821,189,000 | 1,625,821,258,000 | 384,640,886 | 0 | 0 | Apache-2.0 | 1,625,903,617,000 | 1,625,903,026,000 | null | UTF-8 | Lean | false | false | 815 | 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
-/
prelude
import Init.Meta
import Init.Data.Float
import Init.Data.Nat
/- For decimal and scientific numbers (e.g., `1.23`, `3.12e10`).
Examples:
- `Of... |
7c0cce5805e09fd38b0ed24c9259f86b954d420e | e514e8b939af519a1d5e9b30a850769d058df4e9 | /src/tactic/rewrite_search/core/common.lean | 58eec8247054eb7abb5d10b1df11cedb9e5d6806 | [] | no_license | semorrison/lean-rewrite-search | dca317c5a52e170fb6ffc87c5ab767afb5e3e51a | e804b8f2753366b8957be839908230ee73f9e89f | refs/heads/master | 1,624,051,754,485 | 1,614,160,817,000 | 1,614,160,817,000 | 162,660,605 | 0 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 1,685 | lean | import lib.tactic
import tactic.rewrite_all
import .data
universe u
meta inductive how
| rewrite (rule_index : ℕ) (location : ℕ) (addr : option (list side))
| defeq
| simp -- TODO handle "explaining" me
meta def how.to_string : how → format
| (how.rewrite idx loc addr) := format!"rewrite {idx} {loc} {addr.iget.to_s... |
03debbba92a4541598f457d3501e7757c676a405 | 77c5b91fae1b966ddd1db969ba37b6f0e4901e88 | /src/data/finset/sort.lean | 613496fa940ec7f91091f194b9cb6186791637cd | [
"Apache-2.0"
] | permissive | dexmagic/mathlib | ff48eefc56e2412429b31d4fddd41a976eb287ce | 7a5d15a955a92a90e1d398b2281916b9c41270b2 | refs/heads/master | 1,693,481,322,046 | 1,633,360,193,000 | 1,633,360,193,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 9,932 | 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.fintype.basic
import data.multiset.sort
import data.list.nodup_equiv_fin
/-!
# Construct a sorted list from a finset.
-/
namespace finset
open multiset... |
fee6a12e3ea377a94dce12b13c77212dc8fcf407 | 4bcaca5dc83d49803f72b7b5920b75b6e7d9de2d | /stage0/src/Init/Data/Nat/Div.lean | a0e6492c0c740d1afc213cee8f8c83133a82c9b3 | [
"Apache-2.0"
] | permissive | subfish-zhou/leanprover-zh_CN.github.io | 30b9fba9bd790720bd95764e61ae796697d2f603 | 8b2985d4a3d458ceda9361ac454c28168d920d3f | refs/heads/master | 1,689,709,967,820 | 1,632,503,056,000 | 1,632,503,056,000 | 409,962,097 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,857 | 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.WF
import Init.Data.Nat.Basic
namespace Nat
private def div_rec_lemma {x y : Nat} : 0 < y ∧ y ≤ x → x - y < x :=
fun ⟨ypos, ylex⟩ => ... |
2ef44c6c342a57a53a8be891bc3f84ea06dd0c94 | bb31430994044506fa42fd667e2d556327e18dfe | /src/topology/bornology/constructions.lean | f0eb1fc12d2362ccff0b05012de8369118507ad1 | [
"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 | 6,134 | 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 topology.bornology.basic
/-!
# Bornology structure on products and subtypes
In this file we define `bornology` and `bounded_space` instances on `α × ... |
645b125a58ae274ef62fa74681b03e6bf27924bb | d9d511f37a523cd7659d6f573f990e2a0af93c6f | /src/analysis/convex/specific_functions.lean | 93ff0be4c3c8e9f241659fbdfbfb3608fa1485f1 | [
"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 | 6,282 | lean | /-
Copyright (c) 2020 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov, Sébastien Gouëzel
-/
import analysis.calculus.mean_value
import analysis.special_functions.pow
/-!
# Collection of convex functions
In this file we prove that the f... |
5a931e33850a96f3ce94cbb65a1f340a53343652 | 8cb37a089cdb4af3af9d8bf1002b417e407a8e9e | /library/init/meta/well_founded_tactics.lean | 81e772a0b5f26e9a1b8e8eef8c1b1a8a720dee84 | [
"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 | 7,505 | lean | /-
Copyright (c) 2017 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 init.data.sigma.lex init.data.nat.lemmas init.data.list.instances
import init.data.list.qsort
/- TODO(Leo): move this lemma, or de... |
2b8cc102cca873694e421dd24c8fe27cc9bc786b | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/run/num.lean | df84b567bda7495400ed2587dcb31f91c473e7a9 | [
"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 | 53 | lean | import logic
check 14
check 0
check 3
check 2
check 4 |
7d57ebcb96403d79b46e6c00b67665159499bc9f | 35677d2df3f081738fa6b08138e03ee36bc33cad | /src/set_theory/ordinal.lean | 7721a6bac0f59ef38d8367832ca23b9c8f1c510d | [
"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 | 138,195 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Mario Carneiro
Ordinal arithmetic.
Ordinals are defined as equivalences of well-ordered sets by order isomorphism.
-/
import order.order_iso set_theory.cardinal data.sum
noncomputable... |
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