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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
c786917b0ec802f8aeaf472c38d2e53f00f651da | e61a235b8468b03aee0120bf26ec615c045005d2 | /src/Init/Lean/Meta.lean | 5214c9173c7deb2fefe758fdb67936e340398684 | [
"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 | 720 | 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.Meta.Basic
import Init.Lean.Meta.LevelDefEq
import Init.Lean.Meta.WHNF
import Init.Lean.Meta.InferType
import Init.Lean.Meta.FunInf... |
4047e2e39b48f8b4da5140ff20e8a56294cb1b7f | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/algebra/group/semiconj_auto.lean | dcb31110f7d19d8f5be21a8a97ecc8a874d1d29d | [] | no_license | AurelienSaue/Mathlib4_auto | f538cfd0980f65a6361eadea39e6fc639e9dae14 | 590df64109b08190abe22358fabc3eae000943f2 | refs/heads/master | 1,683,906,849,776 | 1,622,564,669,000 | 1,622,564,669,000 | 371,723,747 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 6,296 | lean | /-
Copyright (c) 2019 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov
Some proofs and docs came from `algebra/commute` (c) Neil Strickland
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.algebra.group.units... |
a6bcdae1ecb9caf02f681b19521d7f0b3cb13ba8 | ed27983dd289b3bcad416f0b1927105d6ef19db8 | /src/inClassNotes/higherOrderFunctions/right_fold_test.lean | a1287fdbe4d57ccdf81a7ec322f9c2bb951c0518 | [] | no_license | liuxin-James/complogic-s21 | 0d55b76dbe25024473d31d98b5b83655c365f811 | 13e03e0114626643b44015c654151fb651603486 | refs/heads/master | 1,681,109,264,463 | 1,618,848,261,000 | 1,618,848,261,000 | 337,599,491 | 0 | 0 | null | 1,613,141,619,000 | 1,612,925,555,000 | null | UTF-8 | Lean | false | false | 4,882 | lean | /-
In this file, I explain why the foldr function has
such a funny-looking type.
The following examples have much in common
- Reducing a list of strings to a bool that indicates whether all of them have a given property
- Reducing a list of strings to a natural number that indicates the sum of all of their lengths
... |
0abdd0fa9ce902057ede7e118294b13b6392607a | 54518a41e0f0c03b53f961e37a3ac2fed5cfeaa9 | /src/cantor_space.lean | 9d4a2ea12bf0ec83c771fb2feaa418c7a1fbcfe0 | [
"Apache-2.0"
] | permissive | cipher1024/flypitch | 9110cbfc99aa2195fe0a903fffc7034cdb00e87c | 357cd9cc344d7b6ea0c1f5d7232956b9ddb39359 | refs/heads/master | 1,598,733,974,743 | 1,572,308,681,000 | 1,572,992,816,000 | 218,170,521 | 0 | 0 | Apache-2.0 | 1,572,308,724,000 | 1,572,308,723,000 | null | UTF-8 | Lean | false | false | 21,558 | lean | /-
Copyright (c) 2019 The Flypitch Project. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jesse Han, Floris van Doorn
-/
import .regular_open_algebra
universes u v
local attribute [instance] classical.prop_decidable
/- Some facts about Cantor spaces: topological sp... |
e6a21f37f1fbd603a125210bdeece1e54caaba18 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/tactic/elide.lean | 42d667b0e3fb69afefef609e522d0a1b96ca352d | [
"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 | 3,023 | 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
-/
import tactic.core
namespace tactic
namespace elide
meta def replace : ℕ → expr → tactic expr
| 0 e := do
t ← infer_type e,
expr.sort u ← infer_typ... |
1144df8a14e619aee8d5feb12215333fbc987a6e | 08bd4ba4ca87dba1f09d2c96a26f5d65da81f4b4 | /src/Lean/Data/HashSet.lean | c266531e6d7c0b33eb44552ec97713e2cb2f36ad | [
"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 | 7,158 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura
-/
namespace Lean
universe u v w
def HashSetBucket (α : Type u) :=
{ b : Array (List α) // b.size.isPowerOfTwo }
def HashSetBucket.update {α : Type u} (data... |
6b0f6b816728398938083f3689026017b8194024 | 46125763b4dbf50619e8846a1371029346f4c3db | /src/algebra/category/Group.lean | 28c135e770322aad958876de0240839505c36708 | [
"Apache-2.0"
] | permissive | thjread/mathlib | a9d97612cedc2c3101060737233df15abcdb9eb1 | 7cffe2520a5518bba19227a107078d83fa725ddc | refs/heads/master | 1,615,637,696,376 | 1,583,953,063,000 | 1,583,953,063,000 | 246,680,271 | 0 | 0 | Apache-2.0 | 1,583,960,875,000 | 1,583,960,875,000 | null | UTF-8 | Lean | false | false | 6,147 | lean | /-
Copyright (c) 2018 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin
-/
import algebra.punit_instances
import algebra.category.Mon.basic
import category_theory.endomorphism
/-!
# Category instances for group, add_group, comm_group, and ... |
e4220609c0f8f786306ea7fdf7bc5a226de93558 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/geometry/manifold/whitney_embedding.lean | b5be8c77521f8a98383e35504eb4b42b042bab9f | [
"Apache-2.0"
] | permissive | jcommelin/mathlib | d8456447c36c176e14d96d9e76f39841f69d2d9b | ee8279351a2e434c2852345c51b728d22af5a156 | refs/heads/master | 1,664,782,136,488 | 1,663,638,983,000 | 1,663,638,983,000 | 132,563,656 | 0 | 0 | Apache-2.0 | 1,663,599,929,000 | 1,525,760,539,000 | Lean | UTF-8 | Lean | false | false | 6,336 | lean | /-
Copyright (c) 2021 Yury G. Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury G. Kudryashov
-/
import geometry.manifold.diffeomorph
import geometry.manifold.instances.real
import geometry.manifold.partition_of_unity
/-!
# Whitney embedding theorem
In ... |
39d2a8bf1891a82ed94d2077b979a0524ea5bea4 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/category_theory/sites/adjunction.lean | d560f26d1e7072d1bc8699e222501384fdc2a644 | [
"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 | 5,216 | lean | /-
Copyright (c) 2021 Adam Topaz. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Adam Topaz
-/
import category_theory.adjunction.whiskering
import category_theory.sites.sheafification
import category_theory.sites.whiskering
/-!
> THIS FILE IS SYNCHRONIZED WITH MATHLIB... |
bc070f27f289d0c128051ab03809c07420c6daea | e00ea76a720126cf9f6d732ad6216b5b824d20a7 | /src/order/filter/extr.lean | 8565c5d556ec4277274075a415beebebe45df76f | [
"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 | 18,652 | 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 order.filter.basic logic.relator tactic.alias
/-! # Minimum and maximum w.r.t. a filter and on a aet
## Main Definitions
This file defines six predicates... |
229774bca511540c7c15bb11b5371409a4dd1497 | 4727251e0cd73359b15b664c3170e5d754078599 | /counterexamples/canonically_ordered_comm_semiring_two_mul.lean | 7474e07b5368156c1c05fe4fb175e41ffe0160ed | [
"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 | 9,360 | lean | /-
Copyright (c) 2021 Damiano Testa. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Damiano Testa
-/
import data.zmod.basic
import ring_theory.subsemiring.basic
import algebra.order.monoid
/-!
A `canonically_ordered_comm_semiring` with two different elements `a` and `... |
f8d3f39a6336fd72377204ea3b675b2487bef7ce | 54deab7025df5d2df4573383df7e1e5497b7a2c2 | /order/boolean_algebra.lean | c573846789e52b157fcb49c2cc0a458e03e815eb | [
"Apache-2.0"
] | permissive | HGldJ1966/mathlib | f8daac93a5b4ae805cfb0ecebac21a9ce9469009 | c5c5b504b918a6c5e91e372ee29ed754b0513e85 | refs/heads/master | 1,611,340,395,683 | 1,503,040,489,000 | 1,503,040,489,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 5,635 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
Type class hierarchy for Boolean algebras.
-/
import order.bounded_lattice
set_option old_structure_cmd true
universes u
variables {α : Type u} {x y z : α}
namespace... |
78dff929611861eb1c375df07095bcb470420375 | ff5230333a701471f46c57e8c115a073ebaaa448 | /library/init/util.lean | 4703821ee2a7c129296373af4c80ba9bb4f47311 | [
"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 | 1,675 | 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.format
universes u
/-- This function has a native implementation that tracks time. -/
def timeit {α : Type u} (s : string) (f : th... |
23bba0f1865163ec8a7f7157f5ed327245c4793a | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/analysis/calculus/series.lean | bc0e56143e4bc9c4f3cde22b2d47e79d47b59b20 | [
"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 | 15,269 | lean | /-
Copyright (c) 2022 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import analysis.calculus.uniform_limits_deriv
import analysis.calculus.cont_diff
import data.nat.cast.with_top
/-!
# Smoothness of series
We show that series ... |
efad1510aed0b6656c7db79f916af142ebbca234 | 618003631150032a5676f229d13a079ac875ff77 | /src/data/real/basic.lean | 9a5ed492704a9f09ecbe9ae392d86ab5abd2000f | [
"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 | 26,280 | 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
The (classical) real numbers ℝ. This is a direct construction
from Cauchy sequences.
-/
import order.conditionally_complete_lattice
import data.real.c... |
e57f87533481fe362398161aab9390889177e1a3 | aa3f8992ef7806974bc1ffd468baa0c79f4d6643 | /library/standard/struc/wf.lean | e27f1111f98c5067282aa92b2cddbba5baf56dbd | [
"Apache-2.0"
] | permissive | codyroux/lean | 7f8dff750722c5382bdd0a9a9275dc4bb2c58dd3 | 0cca265db19f7296531e339192e9b9bae4a31f8b | refs/heads/master | 1,610,909,964,159 | 1,407,084,399,000 | 1,416,857,075,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,672 | 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
-----------------------------------------------------... |
2334372bf5e52dc9b8f0de90b0bb00661e3429bf | 08bd4ba4ca87dba1f09d2c96a26f5d65da81f4b4 | /src/Lean/Meta/Tactic/Simp/SimpAll.lean | 2b91db680cb899e57af5273a70e80e8e96a691b5 | [
"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 | 4,945 | 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.Meta.Tactic.Clear
import Lean.Meta.Tactic.Util
import Lean.Meta.Tactic.Simp.Main
namespace Lean.Meta
open Simp (UsedSimps)
namespace SimpAll
... |
15e32d3e0a5aa4e4cbf12994a6493a33401ef070 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/set_theory/game/winner.lean | 1ba90d07d27acc625a96fe2345b61ee4424b9590 | [
"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 | 3,278 | lean | /-
Copyright (c) 2020 Fox Thomson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Fox Thomson
-/
import set_theory.game.pgame
/-!
# Basic definitions about who has a winning stratergy
We define `G.first_loses`, `G.first_wins`, `G.left_wins` and `G.right_wins` for a p... |
b9306e486142f1610286c72dfa4cb0895b9361ab | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/mk_constructor_fresh_names.lean | dc0f50c5e86cf0fbf3aa613172e746145a1b9f97 | [
"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 | 519 | lean | open tactic
example (fst fst_1 : nat) : fst = fst :=
by do
ns ← mk_constructors_fresh_names `prod,
trace ns, -- [[fst_2, snd]]
constructor
example (h : nat) : h = h :=
by do
ns ← mk_constructors_fresh_names `acc,
trace ns, -- [[x, a_1]
constructor
inductive Foo
| mk₁ (a b c : nat) : Foo
| mk₂ (d e : boo... |
6bbcb19defb6e901ec8836f0d1f4f8bfc83386ff | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/algebra/group_action_hom.lean | 6733af8d4f6684f56a7ce912f00f84596c4f3f65 | [] | 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 | 16,513 | 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 Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.algebra.group_ring_action
import Mathlib.group_theory.group_action.default
import Mathlib.PostPort
u... |
1c978b292fb55e15e29e24069e47a323eca6dca8 | 205f0fc16279a69ea36e9fd158e3a97b06834ce2 | /HOMEWORK/HW4.lean | ea0f0365338bd0b6b419f63a2f0bbee327576027 | [] | no_license | kevinsullivan/cs-dm-lean | b21d3ca1a9b2a0751ba13fcb4e7b258010a5d124 | a06a94e98be77170ca1df486c8189338b16cf6c6 | refs/heads/master | 1,585,948,743,595 | 1,544,339,346,000 | 1,544,339,346,000 | 155,570,767 | 1 | 3 | null | 1,541,540,372,000 | 1,540,995,993,000 | Lean | UTF-8 | Lean | false | false | 4,909 | lean | /-
THIS ASSIGNMENT IS DUE BEFORE 9AM
ON TUESDAY NEXT WEEK, BEFORE THE
DAY'S 2101 CLASSES BEGIN. WE WILL
REVIEW THE ANSWERS IN CLASS. THEN
WE WILL GIVE An IN-CLASS, GRADED
EXERCISE TO TEST YOUR UNDERSTANDING.
This file comes in two parts. The first
part presents an example that you are to
read and understand. It's... |
a9d82a30eb9101f0248bc33e05c146490c2876e1 | 69d4931b605e11ca61881fc4f66db50a0a875e39 | /src/tactic/lint/misc.lean | fcfc9ac60adfb133a08157c83b249aa704c297ef | [
"Apache-2.0"
] | permissive | abentkamp/mathlib | d9a75d291ec09f4637b0f30cc3880ffb07549ee5 | 5360e476391508e092b5a1e5210bd0ed22dc0755 | refs/heads/master | 1,682,382,954,948 | 1,622,106,077,000 | 1,622,106,077,000 | 149,285,665 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 11,215 | 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
-/
import tactic.lint.basic
/-!
# Various linters
This file defines several small linters:
- `ge_or_gt` checks that `>` and `≥` do not occur in ... |
4d12a59025e4f7c926012e35f4c75f93f70e7a01 | bbecf0f1968d1fba4124103e4f6b55251d08e9c4 | /src/linear_algebra/affine_space/affine_equiv.lean | f56ec333674b95c974b998cba534caa71f2107bc | [
"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 | 16,095 | lean | /-
Copyright (c) 2020 Yury G. Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury G. Kudryashov
-/
import linear_algebra.affine_space.affine_map
import algebra.invertible
/-!
# Affine equivalences
In this file we define `affine_equiv k P₁ P₂` (notation: `... |
74147e1ae199a26786c407d1aa5d0ab3727841c6 | 624f6f2ae8b3b1adc5f8f67a365c51d5126be45a | /tests/lean/run/IO_test.lean | 81a76c27d7386fff7cfc119f669f81e94e213a34 | [
"Apache-2.0"
] | permissive | mhuisi/lean4 | 28d35a4febc2e251c7f05492e13f3b05d6f9b7af | dda44bc47f3e5d024508060dac2bcb59fd12e4c0 | refs/heads/master | 1,621,225,489,283 | 1,585,142,689,000 | 1,585,142,689,000 | 250,590,438 | 0 | 2 | Apache-2.0 | 1,602,443,220,000 | 1,585,327,814,000 | C | UTF-8 | Lean | false | false | 2,905 | lean | prelude
import Init.System.IO
import Init.Data.List.Control
open IO.FS
instance : HasRepr UInt8 := ⟨ toString ⟩
def check_eq {α} [HasBeq α] [HasRepr α] (tag : String) (expected actual : α) : IO Unit :=
unless (expected == actual) $ throw $ IO.userError $
"assertion failure \"" ++ tag ++
"\":\n expected: " ++ ... |
9e7af4d0bc4c54dabb3e7db20a1e969f08eb784f | 9dd3f3912f7321eb58ee9aa8f21778ad6221f87c | /tests/lean/run/inliner_bug.lean | e939a2132b199be69ef25bb9b24fb3f7eca9db7c | [
"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 | 80 | lean | @[inline] def g (n : nat) : nat :=
nat.rec_on n 0 (λ m r, r + 2)
vm_eval g 10
|
db73943859c1d27ed3fe71035f3669b51221765c | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/run/tactic_op_overload_bug.lean | 79f8b250bd1c636b02a3085ad70e3694e63787c4 | [
"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 | 526 | lean | import data.num data.bool
open bool well_founded
namespace pos_num
definition lt_pred (a b : pos_num) : Prop := lt a b = tt
definition not_lt_one1 (a : pos_num) : ¬ lt_pred a one :=
begin
esimp [lt_pred],
intro H,
apply (absurd_of_eq_ff_of_eq_tt (lt_one_right_eq_ff a) H)
end
open tactic well_founded
print r... |
6c3cb25b2acd7ebd8880a02db4d61a95937eecf7 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/linear_algebra/invariant_basis_number.lean | aa743ff5dc0bc6ab91902b915ff0dc2eea7ae7f6 | [] | 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 | 4,002 | 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 Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.linear_algebra.finite_dimensional
import Mathlib.ring_theory.ideal.basic
import Mathlib.PostP... |
3ed2a224bc1903360bd65d84a70b0f03524e618f | 80cc5bf14c8ea85ff340d1d747a127dcadeb966f | /src/algebra/ordered_ring.lean | 44eb5c352e3891641ce7a32d525b17b53fc5fc50 | [
"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 | 43,414 | 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
-/
import algebra.ordered_group
set_option old_structure_cmd true
universe u
variable {α : Type u}
/-- An `ordered_semiring α` is a s... |
b3ffbb1dd8b7aacf3125290b9452b085ab1ed919 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/ppNotationCode.lean | 4807ec5ced05d0f80ca6060fa34699931b15e90a | [
"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 | 70 | lean | set_option trace.Elab.definition.body true
infix:45 "+++" => Nat.add
|
a782d8acf18bb9b37a852475acd6e6075b3f7e99 | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/topology/uniform_space/separation.lean | a25f94984920e1d9df82f07fade1b69432ca7e71 | [
"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 | 21,528 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Patrick Massot
-/
import topology.uniform_space.basic
import tactic.apply_fun
/-!
# Hausdorff properties of uniform spaces. Separation quotient.
This file studies un... |
82ca59c0c558dfbecd6e3a3613dacbf9e9442bfe | 7cef822f3b952965621309e88eadf618da0c8ae9 | /src/category_theory/epi_mono.lean | 88cc5cf37ef8407b2564a2b3f2fbcf81ca10890c | [
"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 | 1,746 | lean | /-
Copyright (c) 2019 Reid Barton. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Reid Barton
Facts about epimorphisms and monomorphisms.
The definitions of `epi` and `mono` are in `category_theory.category`,
since they are used by some lemmas for `iso`, which is use... |
1c42c002db3313a8500bb9d414f6469654b7363a | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/1467.lean | 0e0fd6abfa90674f34d0457a92a109d26839ffcf | [
"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 | 794 | lean | constants f g h : ℕ → ℕ
axiom H_f_g : ∀ n, f (g n) = n
example (m : ℕ) : h m = h m :=
begin
let n : ℕ := g m,
have H : f n = m := begin rw H_f_g end,
subst H, -- Error here
end
set_option pp.instantiate_mvars false
example (m : ℕ) : h m = h m :=
begin
let n : ℕ, -- add metavar
exact g m,
have H : f n = m := begin rw... |
075806e09d56170f630753743fcb79beee98f937 | e94d3f31e48d06d252ee7307fe71efe1d500f274 | /hott/hit/pushout.hlean | f9fd7d51e99461497607c5a0659de5b4102d8c7b | [
"Apache-2.0"
] | permissive | GallagherCommaJack/lean | e4471240a069d82f97cb361d2bf1a029de3f4256 | 226f8bafeb9baaa5a2ac58000c83d6beb29991e2 | refs/heads/master | 1,610,725,100,482 | 1,459,194,829,000 | 1,459,195,377,000 | 55,377,224 | 0 | 0 | null | 1,459,731,701,000 | 1,459,731,700,000 | null | UTF-8 | Lean | false | false | 13,861 | hlean | /-
Copyright (c) 2015 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn
Declaration of the pushout
-/
import .quotient types.sigma types.arrow_2
open quotient eq sum equiv is_trunc
namespace pushout
section
parameters {TL BL TR : Ty... |
97a79a135333061e263ed5d590322e9015c177af | 88fb7558b0636ec6b181f2a548ac11ad3919f8a5 | /library/init/data/list/basic.lean | 1a05cd877c62f4da52f7c434d1e70010ea5a01d4 | [
"Apache-2.0"
] | permissive | moritayasuaki/lean | 9f666c323cb6fa1f31ac597d777914aed41e3b7a | ae96ebf6ee953088c235ff7ae0e8c95066ba8001 | refs/heads/master | 1,611,135,440,814 | 1,493,852,869,000 | 1,493,852,869,000 | 90,269,903 | 0 | 0 | null | 1,493,906,291,000 | 1,493,906,291,000 | null | UTF-8 | Lean | false | false | 5,832 | 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.data.nat.basic
open decidable list
universes u v w
instance (α : Type u) : inhabited (list α) :=
⟨list.nil⟩
variables {α : ... |
bae22e5604ac325714ed37fa3945ca2b4b18ed25 | 491068d2ad28831e7dade8d6dff871c3e49d9431 | /tests/lean/whnf.lean | e6405e7301cd76e20af7d97f982a05f708fbed76 | [
"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 | 124 | lean | open nat
eval [whnf] (fun x, x + 1) 2
eval (fun x, x + 1) 2
variable a : nat
eval [whnf] a + succ zero
eval a + succ zero
|
8179c57be43fea3baf31d35c7d0c19a8d0c1ff22 | c777c32c8e484e195053731103c5e52af26a25d1 | /src/model_theory/order.lean | c14ca9cadf61d502ec9e6c6980bb27f89b29d8ba | [
"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 | 9,226 | 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... |
4f7b8b31c2b088bf25710ab3224731c23ff83708 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/data/matrix/block.lean | 34a97c6775854e70360aaae5269b471faae616db | [
"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 | 30,670 | lean | /-
Copyright (c) 2018 Ellen Arlt. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Ellen Arlt, Blair Shi, Sean Leather, Mario Carneiro, Johan Commelin
-/
import data.matrix.basic
/-!
# Block Matrices
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file... |
fc114cfae050e1e4731eedcfea3bf8fe305333a8 | d1bbf1801b3dcb214451d48214589f511061da63 | /src/algebra/big_operators/basic.lean | c3234b0ca9e4f7be11408025da159d89b0f60f11 | [
"Apache-2.0"
] | permissive | cheraghchi/mathlib | 5c366f8c4f8e66973b60c37881889da8390cab86 | f29d1c3038422168fbbdb2526abf7c0ff13e86db | refs/heads/master | 1,676,577,831,283 | 1,610,894,638,000 | 1,610,894,638,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 50,451 | 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.finset.fold
import data.equiv.mul_add
import tactic.abel
/-!
# Big operators
In this file we define products and sums indexed by finite sets (specifica... |
00081f610538653fb3103f87b86ee0ee68136288 | 5a8eb1c11f93715e070b588e85f2961065c3714d | /books/theorem-proving-in-lean/ch02-07.lean | 174f6a792dc9d521c3249bdaa6a25c9da43f10ac | [
"MIT"
] | permissive | luksamuk/study | 0e19bf99d33e0793127c3d3f8ad3936fbeb36505 | 6a9417e071a8624c4cd9db696c16a3abcc430219 | refs/heads/master | 1,677,960,533,266 | 1,676,234,529,000 | 1,676,234,529,000 | 151,009,060 | 4 | 1 | MIT | 1,676,234,531,000 | 1,538,343,224,000 | C++ | UTF-8 | Lean | false | false | 1,001 | lean | namespace foo
def a : ℕ := 5
def f (x : ℕ) : ℕ := x + 7
def fa : ℕ := f a
def ffa : ℕ := f (f a)
#print "inside foo"
#check a
#check f
#check fa
#check ffa
#check foo.fa
end foo
#print "outside the namespace"
#check foo.a
#check foo.f
#check foo.fa
#check foo.ffa
open foo -- imports the namesp... |
cadeb0311405fffbaa282a60c13ad54c8186843f | 969dbdfed67fda40a6f5a2b4f8c4a3c7dc01e0fb | /src/measure_theory/borel_space.lean | df93625508c99bd8fd9be4fd12aced3c9c604f06 | [
"Apache-2.0"
] | permissive | SAAluthwela/mathlib | 62044349d72dd63983a8500214736aa7779634d3 | 83a4b8b990907291421de54a78988c024dc8a552 | refs/heads/master | 1,679,433,873,417 | 1,615,998,031,000 | 1,615,998,031,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 66,654 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Yury Kudryashov
-/
import measure_theory.measure_space
import measure_theory.ae_measurable_sequence
import analysis.complex.basic
import analysis.normed_space.finite_di... |
2ecb2be432f6fc646c17cc373a61ab75b4d2a186 | e0f9ba56b7fedc16ef8697f6caeef5898b435143 | /src/data/padics/padic_numbers.lean | 1b934e78f5927b8eced6b338412c28b15aa4f096 | [
"Apache-2.0"
] | permissive | anrddh/mathlib | 6a374da53c7e3a35cb0298b0cd67824efef362b4 | a4266a01d2dcb10de19369307c986d038c7bb6a6 | refs/heads/master | 1,656,710,827,909 | 1,589,560,456,000 | 1,589,560,456,000 | 264,271,800 | 0 | 0 | Apache-2.0 | 1,589,568,062,000 | 1,589,568,061,000 | null | UTF-8 | Lean | false | false | 32,457 | lean | /-
Copyright (c) 2018 Robert Y. Lewis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Robert Y. Lewis
-/
import data.padics.padic_norm
import analysis.normed_space.basic
/-!
# p-adic numbers
This file defines the p-adic numbers (rationals) ℚ_p as the completion of ℚ... |
6a45a0ad522dc52b067827793502fba3e1a6e01a | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/run/nat_bug7.lean | db979c095572df25e8f64245742a7893608e14d4 | [
"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 | 434 | lean | import logic
namespace experiment
inductive nat : Type :=
| zero : nat
| succ : nat → nat
namespace nat
definition add (x y : nat) : nat := nat.rec x (λn r, succ r) y
infixl `+` := add
axiom add_right_comm (n m k : nat) : n + m + k = n + k + m
open eq
print "==========================="
theorem bug (a b c d : nat) : ... |
2cd30247e6986f4976d494cd45fd7bedca81c64b | 57fdc8de88f5ea3bfde4325e6ecd13f93a274ab5 | /data/multiset.lean | 73fff7220618debbbe28e6f3e1511aed4bbad2b4 | [
"Apache-2.0"
] | permissive | louisanu/mathlib | 11f56f2d40dc792bc05ee2f78ea37d73e98ecbfe | 2bd5e2159d20a8f20d04fc4d382e65eea775ed39 | refs/heads/master | 1,617,706,993,439 | 1,523,163,654,000 | 1,523,163,654,000 | 124,519,997 | 0 | 0 | Apache-2.0 | 1,520,588,283,000 | 1,520,588,283,000 | null | UTF-8 | Lean | false | false | 91,409 | lean | /-
Copyright (c) 2015 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Mario Carneiro
Multisets.
-/
import logic.function data.list.basic data.list.perm data.list.sort order.boolean_algebra
algebra.order_functions data.quot algebra.group_pow... |
0b84c7c0ce1e84410f6898f92592e7045206a864 | 8d65764a9e5f0923a67fc435eb1a5a1d02fd80e3 | /src/data/nat/multiplicity.lean | 5d4c62d45f96f2a2b2204af7a96767b3b36a215c | [
"Apache-2.0"
] | permissive | troyjlee/mathlib | e18d4b8026e32062ab9e89bc3b003a5d1cfec3f5 | 45e7eb8447555247246e3fe91c87066506c14875 | refs/heads/master | 1,689,248,035,046 | 1,629,470,528,000 | 1,629,470,528,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 11,152 | lean | /-
Copyright (c) 2019 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes
-/
import data.nat.bitwise
import data.nat.parity
import data.nat.log
import ring_theory.int.basic
import algebra.big_operators.intervals
/-!
# Natural number multiplicity... |
7da82aa8d130df45f3250279f0799bbd46d16814 | 302c785c90d40ad3d6be43d33bc6a558354cc2cf | /src/topology/metric_space/basic.lean | 06c41df87b27d0c4bf5006db5020e36a67ba3561 | [
"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 | 93,964 | lean | /-
Copyright (c) 2015, 2017 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Metric spaces.
Authors: Jeremy Avigad, Robert Y. Lewis, Johannes Hölzl, Mario Carneiro, Sébastien Gouëzel
Many definitions and theorems expected on metric spaces are already introduced o... |
4b0f05f4d273dccce8ae6ac5bd0fa3706e6cedf9 | e00ea76a720126cf9f6d732ad6216b5b824d20a7 | /src/topology/instances/nnreal.lean | 54dbef20e6f0b3553392960980d49db6f7ad6a3e | [
"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 | 4,695 | lean | /-
Copyright (c) 2018 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin
Nonnegative real numbers.
-/
import data.real.nnreal topology.instances.real topology.algebra.infinite_sum
noncomputable theory
open set topological_space metric
open_l... |
2931317fbfaf95f838810d4d42e1a6e955fd9dd1 | 453dcd7c0d1ef170b0843a81d7d8caedc9741dce | /category/traversable/instances.lean | 8038dc1fca63139981311462b7af25f42b8863bf | [
"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 | 7,404 | lean | /-
Copyright (c) 2018 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Simon Hudon
Instances of `traversable` for types from the core library
-/
import category.traversable.basic
import category.basic
import category.functor
import category.applicative
uni... |
35991e838eee0282bdba5bfae2b12a7810ee60a4 | 2eab05920d6eeb06665e1a6df77b3157354316ad | /src/analysis/normed_space/basic.lean | c44c753ad0b24f250aceee7789eff8abf3221001 | [
"Apache-2.0"
] | permissive | ayush1801/mathlib | 78949b9f789f488148142221606bf15c02b960d2 | ce164e28f262acbb3de6281b3b03660a9f744e3c | refs/heads/master | 1,692,886,907,941 | 1,635,270,866,000 | 1,635,270,866,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 53,795 | lean | /-
Copyright (c) 2018 Patrick Massot. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Patrick Massot, Johannes Hölzl
-/
import algebra.algebra.restrict_scalars
import algebra.algebra.subalgebra
import data.matrix.basic
import topology.algebra.group_completion
import top... |
dfa4950b742ba753f2735138ee044ff9224385f2 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/overAndPartialAppsAtWF.lean | c757f5ae77c007905b71585fffafb86c4dabb448 | [
"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 | 917 | lean | theorem eq_of_isEqvAux [DecidableEq α] (a b : Array α) (hsz : a.size = b.size) (i : Nat) (hi : i ≤ a.size) (heqv : Array.isEqvAux a b hsz (fun x y => x = y) i) : ∀ (j : Nat) (hl : i ≤ j) (hj : j < a.size), a.get ⟨j, hj⟩ = b.get ⟨j, hsz ▸ hj⟩ := by
intro j low high
by_cases h : i < a.size
· unfold Array.isEqvAux a... |
acb630a8a3eeacc39f3e730b5e6455a6595365f4 | 367134ba5a65885e863bdc4507601606690974c1 | /test/transport/basic.lean | af0aa13fd0bc3a75465598c01b54ecdec39d754b | [
"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 | 2,526 | lean | import tactic.transport
import order.bounded_lattice
import algebra.lie.basic
-- We verify that `transport` can move a `semiring` across an equivalence.
-- Note that we've never even mentioned the idea of addition or multiplication to `transport`.
def semiring.map {α : Type} [semiring α] {β : Type} (e : α ≃ β) : semir... |
1f817f03741bd622d58d960ea7f91cded09635a3 | 5756a081670ba9c1d1d3fca7bd47cb4e31beae66 | /Mathport/Binary/TranslateName.lean | 6395d00d88dbe8689035c506ca0f194c8e6ee08d | [
"Apache-2.0"
] | permissive | leanprover-community/mathport | 2c9bdc8292168febf59799efdc5451dbf0450d4a | 13051f68064f7638970d39a8fecaede68ffbf9e1 | refs/heads/master | 1,693,841,364,079 | 1,693,813,111,000 | 1,693,813,111,000 | 379,357,010 | 27 | 10 | Apache-2.0 | 1,691,309,132,000 | 1,624,384,521,000 | Lean | UTF-8 | Lean | false | false | 11,913 | lean | /-
Copyright (c) 2021 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Daniel Selsam
Lean3 uses snake_case for everything.
As of now, Lean4 uses:
- camelCase for defs
- PascalCase for types
- snake_case for proofs
-/
import Lean
import Mathport.U... |
0e1a726b6fa52a166fab860a7f27a6f07f676b77 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/dynamics/ergodic/measure_preserving.lean | 9942a6e3fcffd4cd64ae7ef757e259876501a2ed | [
"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 | 7,242 | lean | /-
Copyright (c) 2021 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov
-/
import measure_theory.measure.ae_measurable
/-!
# Measure preserving maps
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file require a correspo... |
e60d7abc58396aa390b3c0ed62e41aca700c92ea | 7cef822f3b952965621309e88eadf618da0c8ae9 | /src/analysis/calculus/fderiv.lean | 927ff9a37aa3a18e6841b1661faed027d9f19f44 | [
"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 | 60,758 | 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
-/
import analysis.asymptotics analysis.calculus.tangent_cone
/-!
# The Fréchet derivative
Let `E` and `F` be normed spaces, `f : E → F`, and `f' : E... |
d2f51f8e17b54805a3fb519e8c849ee11185af1b | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /tests/lean/run/791.lean | c22c76e477a09788312ebf01810e85e2f43d2bea | [
"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 | 174 | lean | open nat
definition foo.bar : nat := 10
definition boo.bla.foo : nat := 20
open foo
open boo.bla
eval bar
eval foo
constant x.y.z : nat
open x
check y.z
open x.y
check z
|
e8e631461a9d7e9dd98a8ddfe9837c0fec0be78a | 7cef822f3b952965621309e88eadf618da0c8ae9 | /src/topology/category/UniformSpace.lean | 5f13d54bb164b4860e20a8d2c26699e1fa68fff0 | [
"Apache-2.0"
] | permissive | rmitta/mathlib | 8d90aee30b4db2b013e01f62c33f297d7e64a43d | 883d974b608845bad30ae19e27e33c285200bf84 | refs/heads/master | 1,585,776,832,544 | 1,576,874,096,000 | 1,576,874,096,000 | 153,663,165 | 0 | 2 | Apache-2.0 | 1,544,806,490,000 | 1,539,884,365,000 | Lean | UTF-8 | Lean | false | false | 6,316 | lean | /-
Copyright (c) 2019 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Reid Barton, Patrick Massot, Scott Morrison
-/
import category_theory.concrete_category.unbundled_hom
import category_theory.full_subcategory
import category_theory.monad.limits
impor... |
1c8b18eacf8c9e5c63bbddb64171948422f3c94e | 9dd3f3912f7321eb58ee9aa8f21778ad6221f87c | /tests/lean/hinst_lemmas2.lean | 4b57ccf0eec56c6ffc719256f1a99f8c6b4dfbca | [
"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 | 763 | lean | run_command mk_hinst_lemma_attr_set `attr_main [`attr1, `attr2] [`sattr1, `sattr2]
constant f : nat → nat
constant g : nat → nat → nat
constant p : nat → Prop
constant fax1 : ∀ x, f x = g x x
constant gax1 : ∀ x y, p x → p y → g x y = x
constant gax2 : ∀ x y, g x y = 0 → g x (f y) = g x y
constant gax3 : ∀ x, g x x =... |
a4b13ae8ef3aa2172f198f0ecfa17a58786b71f2 | e4850d3690538c747274f940d23178380b465a23 | /LeanNixStatic1.lean | d55de0b06dd3a036c04c673c772f753d8ae216c7 | [] | no_license | zygi/leannixstatic1 | 5d81973a69c98e6f29e9283c245d10f81303155c | b10ce543ec1d990186295bfd33bc84d3a69a6fd7 | refs/heads/master | 1,678,438,994,937 | 1,614,394,028,000 | 1,614,394,028,000 | 342,754,763 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 246 | lean | import LeanNixStatic1.Inline
import LeanNixStatic1.Extern
#reduce ifNative1Else0 0 == 0
def main(argv: List String): IO UInt32 := do
IO.println s!"{ifNative1Else0 0} should be 1"
IO.println s!"{addMagicConstant 0} should be 12345"
return 0
|
f279169373b6ed28a5ec6860b0afeaebc3f5bc08 | f4bff2062c030df03d65e8b69c88f79b63a359d8 | /src/game/functions/bothSurjective.lean | d97c51a162f4d6de9347a735d310d58b864c9907 | [
"Apache-2.0"
] | permissive | adastra7470/real-number-game | 776606961f52db0eb824555ed2f8e16f92216ea3 | f9dcb7d9255a79b57e62038228a23346c2dc301b | refs/heads/master | 1,669,221,575,893 | 1,594,669,800,000 | 1,594,669,800,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 644 | lean | import data.real.basic
open function
/-
# Chapter 6 : Functions
## Level 2
A classical result in composition of functions.
-/
/- Lemma
If $f : X \to Y$ and $g : Y \to Z$ are both surjective functions, then
the function resulting from their composition is also surjective.
-/
theorem both_surjective
(X Y Z : set ... |
20715993dd7d1fa26d89b1f69c685139071008f4 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/run/sorry.lean | 893da3cb54d194934af4f9683d13a2a41c903771 | [
"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 | 80 | lean | import logic
definition b : Prop :=
sorry
theorem tst : true = false :=
sorry
|
a75b4fcaf3ed9a6d8cf161c7bb63511ecc935a4c | 67dc347ff8e6eaa780fd69518f3e69b2fa5eef96 | /src/smt2/builder.lean | 4f87465eb52e075d0a5ec33c205098da54bb0c8c | [
"Apache-2.0"
] | permissive | Kha/smt2_interface | 74589568b30d32a500fb3a9abb299a28f19d75e9 | d92be33fbf4d56e3745e255ab423ba8da7d7695b | refs/heads/master | 1,619,785,421,091 | 1,518,453,826,000 | 1,518,453,826,000 | 121,273,425 | 0 | 0 | null | 1,518,453,882,000 | 1,518,453,882,000 | null | UTF-8 | Lean | false | false | 3,006 | lean | import .syntax
import .except
import init.category.transformers
@[reducible] def smt2.builder :=
except_t (state (list smt2.cmd)) string
instance smt2.builder.monad : monad smt2.builder :=
by apply_instance
meta def smt2.builder.to_format {α : Type} (build : smt2.builder α) : format :=
format.join $ list.intersperse... |
5e3de23957a533ca94f39d6f10ef9fdfe70b8630 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/data/seq/seq.lean | e489ea22bfe8b728c9b17d4c92f139ecdd1ce720 | [
"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 | 28,454 | 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.list.basic
import data.stream
import data.lazy_list
import data.seq.computation
universes u v w
/-
coinductive seq (α : Type u) : Type u
| nil : seq α
|... |
7da3536f3858d6c7f4e9fe06bb8a098d0bc1be1e | a623837965543f72645ad3de4797a693f5c64274 | /test/rfl_lemma.lean | 16b9dfbe1591cfee9f72e0661f841f640bb68a76 | [] | no_license | khoek/lean-tidy | 9e1c8ffebc6a3e4739128e6cf7b7e84cba3a0625 | 995fbf6efa56f6c01cdb3754fc4a84b648a6dd91 | refs/heads/master | 1,619,535,208,982 | 1,549,094,268,000 | 1,549,094,268,000 | 122,460,123 | 0 | 0 | null | 1,534,214,616,000 | 1,519,293,337,000 | Lean | UTF-8 | Lean | false | false | 917 | lean | import tidy.command.rfl_lemma
structure metype (A B : Type) :=
(v : ℕ)
structure a_dummy (C D : Type) :=
(map' : Π {X Y : Type}, (C → X → Y) → metype C D)
def a_dummy.map {C D : Type} (F : a_dummy C D) {X Y : Type} (f : C → X → Y) : metype C D := F.map' f
def lol (E F : Type) [has_lt ℕ] : a_dummy F E :=
{ map'... |
9fbe2c01abef197faa0bf6f1d106cfb976225d06 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/algebra/category/Mon/adjunctions.lean | d3e500532d24912c8971c7cb3520e86be4101c5f | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 2,385 | lean | /-
Copyright (c) 2021 Julian Kuelshammer. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Julian Kuelshammer
-/
import algebra.category.Mon.basic
import algebra.category.Semigroup.basic
import algebra.group.with_one.basic
import algebra.free_monoid.basic
/-!
# Adjuncti... |
bd3f9f2c2ba5ae6fa83b3c63a6eb15f71cba0888 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/order/well_founded.lean | 2ad3a0b402a0d3566cf4578cd19cebd6116289b3 | [
"Apache-2.0"
] | permissive | jcommelin/mathlib | d8456447c36c176e14d96d9e76f39841f69d2d9b | ee8279351a2e434c2852345c51b728d22af5a156 | refs/heads/master | 1,664,782,136,488 | 1,663,638,983,000 | 1,663,638,983,000 | 132,563,656 | 0 | 0 | Apache-2.0 | 1,663,599,929,000 | 1,525,760,539,000 | Lean | UTF-8 | Lean | false | false | 8,013 | lean | /-
Copyright (c) 2020 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Mario Carneiro
-/
import tactic.by_contra
import data.set.basic
/-!
# Well-founded relations
A relation is well-founded if it can be used for induction: for each `x`, `... |
7dd72c86db08384f1089b8d6b7768499a5671114 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/topology/uniform_space/compact_convergence.lean | f10663527d9b2ee522126de01c29b7e14b3cfe50 | [
"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 | 22,206 | lean | /-
Copyright (c) 2021 Oliver Nash. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Oliver Nash
-/
import topology.compact_open
import topology.uniform_space.uniform_convergence
/-!
# Compact convergence (uniform convergence on compact sets)
> THIS FILE IS SYNCHRONIZED... |
d421334faef14c3bea6cd97f4c5dc67dde550f3b | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/interactive/highlight.lean | 93f0ec278df50aff95a48e8d5ba7032174852005 | [
"Apache-2.0",
"LLVM-exception",
"NCSA",
"LGPL-3.0-only",
"LicenseRef-scancode-inner-net-2.0",
"BSD-3-Clause",
"LGPL-2.0-or-later",
"Spencer-94",
"LGPL-2.1-or-later",
"HPND",
"LicenseRef-scancode-pcre",
"ISC",
"LGPL-2.1-only",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | leanprover/lean4 | 4bdf9790294964627eb9be79f5e8f6157780b4cc | f1f9dc0f2f531af3312398999d8b8303fa5f096b | refs/heads/master | 1,693,360,665,786 | 1,693,350,868,000 | 1,693,350,868,000 | 129,571,436 | 2,827 | 311 | Apache-2.0 | 1,694,716,156,000 | 1,523,760,560,000 | Lean | UTF-8 | Lean | false | false | 1,111 | lean |
def foo1(bar : Nat) : Bool := true
--^ textDocument/documentHighlight
#eval foo1 2
#eval foo1 3
--^ textDocument/documentHighlight
def foo2 : Nat :=
let bar := 2
bar + 3
--^ textDocument/documentHighlight
structure Baz where
bar : Nat
bar' : Nat
--^ textDocument/documentHighlight... |
ee912bb5fa70d294e79be2e01e6dbc97c4d99841 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/order/symm_diff.lean | 03b12b22de22a9344662ea6be15d1a84b822b4e6 | [
"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 | 23,628 | lean | /-
Copyright (c) 2021 Bryan Gin-ge Chen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Adam Topaz, Bryan Gin-ge Chen, Yaël Dillies
-/
import order.boolean_algebra
import logic.equiv.basic
/-!
# Symmetric difference and bi-implication
> THIS FILE IS SYNCHRONIZED WIT... |
03d7dd3cc7ed14f34442c52f91eee1146def6d22 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/ring_theory/etale.lean | a3f16ba25edf13795510deaff1c7e24bc78cd66c | [
"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 | 20,704 | lean | /-
Copyright (c) 2022 Andrew Yang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Andrew Yang
-/
import ring_theory.ideal.operations
import ring_theory.nilpotent
import ring_theory.tensor_product
import linear_algebra.isomorphisms
import ring_theory.ideal.cotangent
/-... |
84d24d08afc094af8497c4fabb7776bd99e47644 | 95a02f25ddbaf30f9e6fdb8043e6fd3c197ea01c | /src/proofmethod.lean | 21f1842949a164cb02c1a0686736ae128a8ac817 | [
"MIT"
] | permissive | praalhans/lean-abs | b23aad54878c06f5a495dfff63260b72d17e9b99 | 5d23eec7234c880f5ebc0d7b831caf55119edef8 | refs/heads/master | 1,587,416,771,564 | 1,575,885,115,000 | 1,575,885,115,000 | 169,097,861 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 643 | lean |
import semantics
variables {α β : Type} [objects α β]
/- A local history is obtained from a global history and an object identity: it consists of the outgoing calls, an method selections involving the object. -/
@[reducible]
def event.is_local_to (α : Type) [objects α β] (x : β) :
event α β → Prop
| (event.call ... |
cccb959df5d2294d5c821203f906208d4d403314 | 8ba901cf307a2677c194984e82644023b5d8f5d8 | /mm0-lean/x86/determ.lean | 63a4090a3677d13c08f01fa3cc114c58489ec2e2 | [
"CC0-1.0"
] | permissive | julian-becker/mm0 | af57d3043477e1f17bdedcb29d4099bb8a25f692 | 79e2755dec1e6ee238e23e3494e84f82b6c138ac | refs/heads/master | 1,598,672,691,658 | 1,572,192,390,000 | 1,572,192,390,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 44,309 | lean | import x86.x86 data.list.basic
namespace bitvec
@[class] def reify {n} (v : bitvec n) (l : out_param (list bool)) : Prop :=
from_bits_fill ff l = v
theorem reify.mk {n} (v) {l} [h : @reify n v l] :
from_bits_fill ff l = v := h
theorem reify_eq {n v l l'} [@reify n v l] (h : l' = v.1) :
l' = (@from_bits_fill ff... |
2e30ecb918ca39929e60a24c4231755c847293a3 | aa101d73b1a3173c7ec56de02b96baa8ca64c42e | /src/my_exercises/03_forall_or.lean | 6d8026aed4d3126d5fc589745a66812c4d47dc24 | [
"Apache-2.0"
] | permissive | gihanmarasingha/tutorials | b554d4d53866c493c4341dc13e914b01444e95a6 | 56617114ef0f9f7b808476faffd11e22e4380918 | refs/heads/master | 1,671,141,758,153 | 1,599,173,318,000 | 1,599,173,318,000 | 282,405,870 | 0 | 0 | Apache-2.0 | 1,595,666,751,000 | 1,595,666,750,000 | null | UTF-8 | Lean | false | false | 8,604 | lean | import data.real.basic
import algebra.pi_instances
set_option pp.beta true
/-
In this file, we'll learn about the ∀ quantifier, and the disjunction
operator ∨ (logical OR).
Let P be a predicate on a type X. This means for every mathematical
object x with type X, we get a mathematical statement P x.
In Lean, P x ha... |
4058f408aa14285f5887e2c042cb2cb384e9f419 | bbecf0f1968d1fba4124103e4f6b55251d08e9c4 | /src/algebra/pointwise.lean | 938e7a977a41652bb62c3fc52e5c7bb15edb6f63 | [
"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 | 34,758 | 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.finite
import group_theory.submonoid.basic
/-!
# Pointwise addition, multiplication, and scalar multipl... |
00bce63d658fd29b1ad2dc3a0c839dbe989afdc2 | 9060db28f6353f040da7481ea5ebcdac426589ff | /fabstract/Bauer_A_InjBaireNat/fabstract.lean | 6c2bfc5941535baf28d93301aa62babe5bd39c92 | [] | no_license | picrin/formalabstracts | 9ccd859fb34a9194fa5ded77ab1bc734ababe194 | 8ebd529598cfc8b6bd02530dd21b7bf3156de174 | refs/heads/master | 1,609,476,202,073 | 1,500,070,922,000 | 1,500,070,922,000 | 97,234,461 | 0 | 0 | null | 1,500,037,389,000 | 1,500,037,389,000 | null | UTF-8 | Lean | false | false | 920 | lean | import meta_data
import folklore.categories
import folklore.toposes
import .realizability
noncomputable theory
namespace Bauer_A_InjBaireNat
-- we construct a partial combinatory algebra based on
-- infinite-time Turing machines
constant IITM : PCA
def T := RT IITM
definition N := T.nno.nno_object
definition Bair... |
bfc8a2d5ac8879cea15247e00982ced34573a43d | 624f6f2ae8b3b1adc5f8f67a365c51d5126be45a | /src/Init/Lean/Parser.lean | 908278de22736ad17cfc4f5a7472f60e38ce63ad | [
"Apache-2.0"
] | permissive | mhuisi/lean4 | 28d35a4febc2e251c7f05492e13f3b05d6f9b7af | dda44bc47f3e5d024508060dac2bcb59fd12e4c0 | refs/heads/master | 1,621,225,489,283 | 1,585,142,689,000 | 1,585,142,689,000 | 250,590,438 | 0 | 2 | Apache-2.0 | 1,602,443,220,000 | 1,585,327,814,000 | C | UTF-8 | Lean | false | false | 406 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura, Sebastian Ullrich
-/
prelude
import Init.Lean.Parser.Parser
import Init.Lean.Parser.Level
import Init.Lean.Parser.Term
import Init.Lean.Parser.Tactic
import I... |
b273942e657af1a5d8047f4026c9e0c47a90c350 | c777c32c8e484e195053731103c5e52af26a25d1 | /src/analysis/special_functions/improper_integrals.lean | 1d10e1374d9ea0fd84c077f432d053550cd03ac5 | [
"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 | 5,133 | lean | /-
Copyright (c) 2023 David Loeffler. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: David Loeffler
-/
import measure_theory.integral.integral_eq_improper
import measure_theory.group.integration
import measure_theory.integral.exp_decay
import analysis.special_functions... |
4662a4278bba2e2bfb87fd0a17d968987a6e7315 | 4950bf76e5ae40ba9f8491647d0b6f228ddce173 | /src/tactic/localized.lean | 8284d793c60a8d74c3a5e49b16c532bccdf14495 | [
"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 | 5,531 | 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... |
c57b045f8330d248e0297ae42636fbb6dd1d7b6c | 947fa6c38e48771ae886239b4edce6db6e18d0fb | /src/analysis/special_functions/pow.lean | 5b6eacd69bc387eeafc2f782e640db385e8ade0c | [
"Apache-2.0"
] | permissive | ramonfmir/mathlib | c5dc8b33155473fab97c38bd3aa6723dc289beaa | 14c52e990c17f5a00c0cc9e09847af16fabbed25 | refs/heads/master | 1,661,979,343,526 | 1,660,830,384,000 | 1,660,830,384,000 | 182,072,989 | 0 | 0 | null | 1,555,585,876,000 | 1,555,585,876,000 | null | UTF-8 | Lean | false | false | 85,321 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Abhimanyu Pallavi Sudhir, Jean Lo, Calle Sönne, Sébastien Gouëzel,
Rémy Degenne, David Loeffler
-/
import analysis.special_functions.complex.log
/-!
# Power function on ... |
6ece095ca1f8d1de10cc800cfb07c5ba3f966228 | 5ae26df177f810c5006841e9c73dc56e01b978d7 | /src/topology/algebra/uniform_ring.lean | e8cb323bdbade124bc0eb57f4bad1abbaf39a224 | [
"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 | 7,532 | lean | /-
Copyright (c) 2018 Patrick Massot. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Patrick Massot, Johannes Hölzl
Theory of topological rings with uniform structure.
-/
import topology.algebra.group_completion topology.algebra.ring
open classical set lattice filte... |
3166998fead9bcdb3fe866a867f7b30ba450137b | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /tests/lean/run/ho.lean | d8b6edb42af9b7fbe14e8a96defbfbe5dec4eb51 | [
"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 | 187 | lean | inductive star : Type
| z : star
| s : (nat → star) → star
check @star.rec
check @star.cases_on
example (f : nat → star) : ¬ star.z = star.s f :=
assume H, star.no_confusion H
|
83026090286e164d2899b2ec46cc2f3097e63432 | a0e23cfdd129a671bf3154ee1a8a3a72bf4c7940 | /tests/lean/struct1.lean | 762bbf7fe9dd678c167b84681044b9b7a45355c8 | [
"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 | 992 | lean |
structure A (α : Type) :=
(x : α)
structure B (α : Type) :=
(x : α)
structure S : Nat := -- error expected Type
(x : Nat)
structure S extends Nat → Nat := -- error expected structure
(x : Nat)
structure S extends A Nat, A Bool := -- error field toA already declared
(x : Nat)
structure S extends A Nat, B Bool := ... |
cae6bb4d10279068295a68ca6b3b56c0cd3d2e19 | 7cef822f3b952965621309e88eadf618da0c8ae9 | /src/data/prod.lean | 2cb13b1ee8852d17444c567a14bf4d7afc6762bf | [
"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 | 3,462 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
Extends theory on products
-/
variables {α : Type*} {β : Type*} {γ : Type*} {δ : Type*}
@[simp] theorem prod.forall {p : α × β → Prop} : (∀ x, p x) ↔ (∀ a b, p (a, b)... |
719a94b5bfdfd276aa5d8cb7202e755dce457e6a | a0e23cfdd129a671bf3154ee1a8a3a72bf4c7940 | /src/Lean/Meta/Tactic/Simp/Rewrite.lean | 33774cc6f7e0175605bd224b6ecf2dd04e0bba08 | [
"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 | 6,244 | lean | /-
Copyright (c) 2020 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Meta.SynthInstance
import Lean.Meta.Tactic.Simp.Types
namespace Lean.Meta.Simp
def synthesizeArgs (lemmaName : Name) (xs : Array Expr) (bis : ... |
192ff72422a86dde2e3578f6c050311bc1684445 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/topology/algebra/continuous_functions_auto.lean | a64e69c7b55c9100675c372016375a199fd244af | [] | 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 | 13,581 | 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 Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.topology.algebra.module
import Mathlib.topology.continuous_map
import Mat... |
a81beb168f2ef7a9a877c2623627bf6ef5d4faa9 | 41ebf3cb010344adfa84907b3304db00e02db0a6 | /uexp/tactic_paper_supplemental_material/mk_dec_eq_instance/benchmark.lean | bf5e6979b2b361ae467f1895a766162419d0f263 | [
"BSD-2-Clause"
] | permissive | ReinierKoops/Cosette | e061b2ba58b26f4eddf4cd052dcf7abd16dfe8fb | eb8dadd06ee05fe7b6b99de431dd7c4faef5cb29 | refs/heads/master | 1,686,483,953,198 | 1,624,293,498,000 | 1,624,293,498,000 | 378,997,885 | 0 | 0 | BSD-2-Clause | 1,624,293,485,000 | 1,624,293,484,000 | null | UTF-8 | Lean | false | false | 521 | lean | inductive vect (α : Type) : ℕ → Type
| nil : vect 0
| cons : ∀ {n}, α → vect n → vect (n+1)
instance dec_eq_vect {α n} [decidable_eq α] : decidable_eq (vect α n) :=
by tactic.mk_dec_eq_instance
-- The runtime for the following definition will not show up when run with `--profile`,
-- it is not shown if takes less tha... |
cae36f7938797f20142f02c2e473338a8d269f2c | c777c32c8e484e195053731103c5e52af26a25d1 | /src/number_theory/cyclotomic/gal.lean | e9df88c21c521dfae23fd85698383dfe6f361cd9 | [
"Apache-2.0"
] | permissive | kbuzzard/mathlib | 2ff9e85dfe2a46f4b291927f983afec17e946eb8 | 58537299e922f9c77df76cb613910914a479c1f7 | refs/heads/master | 1,685,313,702,744 | 1,683,974,212,000 | 1,683,974,212,000 | 128,185,277 | 1 | 0 | null | 1,522,920,600,000 | 1,522,920,600,000 | null | UTF-8 | Lean | false | false | 7,252 | lean | /-
Copyright (c) 2022 Eric Rodriguez. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Eric Rodriguez
-/
import number_theory.cyclotomic.primitive_roots
import field_theory.polynomial_galois_group
/-!
# Galois group of cyclotomic extensions
In this file, we show the r... |
4302861dc64e78ec7e72015191bf63d0e4d84f2b | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/dynamics/periodic_pts.lean | bebf8b7ba3ac2be5ee500ff583a4b29688fa3345 | [
"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 | 23,362 | lean | /-
Copyright (c) 2020 Yury G. Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury G. Kudryashov
-/
import algebra.hom.iterate
import data.list.cycle
import data.pnat.basic
import data.nat.prime
import dynamics.fixed_points.basic
import group_theory.group_ac... |
ef25e2c47a658380586a2c9d218af2af1400e471 | a7eef317ddec01b9fc6cfbb876fe7ac00f205ac7 | /src/data/fintype/card.lean | 5d43bf981ec356dac52eaaea485ff6554c0ea869 | [
"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 | 15,338 | lean | /-
Copyright (c) 2017 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Mario Carneiro
-/
import data.fintype.basic
import data.nat.choose
import tactic.ring
/-!
Results about "big operations" over a `fintype`, and consequent
results about cardinalities of... |
fc2992bd18ce732d33e20c01ff4c6389843319e6 | 77c5b91fae1b966ddd1db969ba37b6f0e4901e88 | /src/order/omega_complete_partial_order.lean | 4a89312150f14d81ee001d436b213e97e0aaebce | [
"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 | 27,197 | lean | /-
Copyright (c) 2020 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon
-/
import data.pfun
import order.preorder_hom
import tactic.wlog
import tactic.monotonicity
/-!
# Omega Complete Partial Orders
An omega-complete partial order is a partial ... |
35ed5a246737687f3fac201728cf85d8f9d7480f | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/data/pnat/prime.lean | 834aaa1ce29e6b591087f787a208a0e8365a3f45 | [
"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 | 7,472 | lean | /-
Copyright (c) 2017 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Neil Strickland
-/
import data.nat.prime
import data.pnat.basic
/-!
# Primality and GCD on pnat
This file extends the theory of `ℕ+` with `gcd`, `lcm` and `pri... |
80b0d84a1b4de5d945cc588b9356cf1212994e94 | 29cc89d6158dd3b90acbdbcab4d2c7eb9a7dbf0f | /12_lecture.lean | c475fd64e1852bc2ea97281690ee8f5d32ba6ba5 | [] | no_license | KjellZijlemaker/Logical_Verification_VU | ced0ba95316a30e3c94ba8eebd58ea004fa6f53b | 4578b93bf1615466996157bb333c84122b201d99 | refs/heads/master | 1,585,966,086,108 | 1,549,187,704,000 | 1,549,187,704,000 | 155,690,284 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 5,063 | lean | /- Lecture 1.2: Basics — Proofs -/
/- Computation -/
-- β-reduction (reduce λ-abstraction + application)
example {α β : Type} (f : α → β) (a : α) :
(λx, f x) a = f a :=
by refl
-- δ-reduction (unfold definition)
section
def f (n : ℕ) : ℕ := n + n
example (m : ℕ) : f m = m + m :=
by refl
end
-- ι-reduction (pro... |
60ea8c9c14e48c70321b822bc292d4c7330e4091 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/data/nat/enat.lean | b3376e0371a6ab45ca7ee4f6ec9c4d3028eb2078 | [
"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 | 20,064 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes
-/
import data.pfun
import tactic.norm_num
import data.equiv.mul_add
/-!
# Natural numbers with infinity
The natural numbers and an extra `top` element `⊤`.
## Main defin... |
212a45e5313abd4801749285d0c2f26d6549105b | 3c9dc4ea6cc92e02634ef557110bde9eae393338 | /stage0/src/Lean/Elab/Declaration.lean | 40465032ea86b9aee19bf13f926b4d42fe08fa8f | [
"Apache-2.0"
] | permissive | shingtaklam1324/lean4 | 3d7efe0c8743a4e33d3c6f4adbe1300df2e71492 | 351285a2e8ad0cef37af05851cfabf31edfb5970 | refs/heads/master | 1,676,827,679,740 | 1,610,462,623,000 | 1,610,552,340,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 11,711 | 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.CollectLevelParams
import Lean.Elab.DeclUtil
import Lean.Elab.DefView
import Lean.Elab.Inductive
import Lean.Elab.Struct... |
9274d3bda716315db8640df961cf4754cd192950 | aa3f8992ef7806974bc1ffd468baa0c79f4d6643 | /library/standard/logic/axioms/prop_decidable.lean | b840ba04cf7318d12d4bb436388acf9a77464655 | [
"Apache-2.0"
] | permissive | codyroux/lean | 7f8dff750722c5382bdd0a9a9275dc4bb2c58dd3 | 0cca265db19f7296531e339192e9b9bae4a31f8b | refs/heads/master | 1,610,909,964,159 | 1,407,084,399,000 | 1,416,857,075,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,031 | 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
-----------------------------------------------------... |
0111c40043cd89955cfe82c3b810df6f34d40d2a | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /tests/bench/rbmap.lean | e914dbce7d7ab8536244db3381e2cf70bb8b0bfb | [
"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 | 2,902 | 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.Data.Option.Basic
import Init.Data.List.BasicAux
import Init.Data.String
import Init.System.IO
universe u v w w'
inductive color
| Red... |
103fb75ec5cf977247a27e04f630dbafd3301a10 | 957a80ea22c5abb4f4670b250d55534d9db99108 | /library/init/data/nat/div.lean | fa8678d5be0234f64b45dcfb273c7ac45fc50944 | [
"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 | 1,168 | 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 init.data.nat.basic
namespace nat
private def div_rec_lemma {x y : nat} : 0 < y ∧ y ≤ x → x - y < x :=
λ h, and.rec (λ ypos ylex, su... |
ec7ef340448b05c001e481114d0e1b32a4ecf1c2 | 94e33a31faa76775069b071adea97e86e218a8ee | /src/field_theory/subfield.lean | 4bf247583770761cc06e5ccd62263db40331c7c2 | [
"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 | 26,761 | lean | /-
Copyright (c) 2020 Anne Baanen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Anne Baanen
-/
import algebra.algebra.basic
/-!
# Subfields
Let `K` be a field. This file defines the "bundled" subfield type `subfield K`, a type
whose terms correspond to subfields o... |
752141082ee57051b708fed203332ab551f02c9f | dd0f5513e11c52db157d2fcc8456d9401a6cd9da | /06_Inductive_Types.org.52.lean | 6d56fdde2b80309392fd15ac5f0c7db7dbfdd69b | [] | 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 | 201 | lean | /- page 95 -/
import standard
open nat
check @nat.no_confusion
-- Π {P : Type} {v1 v2 : ℕ}, v1 = v2 → nat.no_confusion_type P v1 v2
check nat.no_confusion_type
-- Type → ℕ → ℕ → Type
|
9a3618ab10c99d52b970cffb27ebf85c034c1d41 | 82e44445c70db0f03e30d7be725775f122d72f3e | /src/data/finset/basic.lean | 35af57e749c7db350b87644732795e73fd48ffa3 | [
"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 | 125,472 | 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, Minchao Wu, Mario Carneiro
-/
import data.multiset.finset_ops
import tactic.apply
import tactic.monotonicity
import tactic.nth_rewrite
/-!
# F... |
6bf0f2ff658e9f870f075b93302d01b2a3692632 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/combinatorics/set_family/intersecting.lean | b143e00a342b0a8352f4ea674225a75817a28335 | [
"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 | 7,730 | lean | /-
Copyright (c) 2022 Yaël Dillies. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yaël Dillies
-/
import data.fintype.card
import order.upper_lower.basic
/-!
# Intersecting families
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file require a corr... |
56a6371ff9ef3df1681c0b35ed0903cd9b1142c7 | 618003631150032a5676f229d13a079ac875ff77 | /src/ring_theory/unique_factorization_domain.lean | 400b4f73dacee4f5eb00e9037390d8e8ae529e54 | [
"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 | 19,714 | lean | /-
Copyright (c) 2018 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Jens Wagemaker
Theory of unique factorization domains.
@TODO: setup the complete lattice structure on `factor_set`.
-/
import algebra.gcd_domain
variables {α : Type*... |
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