blob_id stringlengths 40 40 | directory_id stringlengths 40 40 | path stringlengths 7 139 | content_id stringlengths 40 40 | detected_licenses listlengths 0 16 | license_type stringclasses 2
values | repo_name stringlengths 7 55 | snapshot_id stringlengths 40 40 | revision_id stringlengths 40 40 | branch_name stringclasses 6
values | visit_date int64 1,471B 1,694B | revision_date int64 1,378B 1,694B | committer_date int64 1,378B 1,694B | github_id float64 1.33M 604M ⌀ | star_events_count int64 0 43.5k | fork_events_count int64 0 1.5k | gha_license_id stringclasses 6
values | gha_event_created_at int64 1,402B 1,695B ⌀ | gha_created_at int64 1,359B 1,637B ⌀ | gha_language stringclasses 19
values | src_encoding stringclasses 2
values | language stringclasses 1
value | is_vendor bool 1
class | is_generated bool 1
class | length_bytes int64 3 6.4M | extension stringclasses 4
values | content stringlengths 3 6.12M |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
7ed161001bc584dec9d96dcc4507d66b493443d7 | 75c54c8946bb4203e0aaf196f918424a17b0de99 | /old/cohen_poset.lean | ab4f0e5c1be9bc24b61ebe355f96770eb33ed6b7 | [
"Apache-2.0"
] | permissive | urkud/flypitch | 261e2a45f1038130178575406df8aea78255ba77 | 2250f5eda14b6ef9fc3e4e1f4a9ac4005634de5c | refs/heads/master | 1,653,266,469,246 | 1,577,819,679,000 | 1,577,819,679,000 | 259,862,235 | 1 | 0 | Apache-2.0 | 1,588,147,244,000 | 1,588,147,244,000 | null | UTF-8 | Lean | false | false | 36,739 | 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 .to_mathlib .pSet_ordinal data.pfun
-- local attribute [instance] classical.prop_decidable
/- The Cohen poset of finite partial functions ... |
d0180401780493517ef0c46d8d7e7fcd11bc1e7e | 302c785c90d40ad3d6be43d33bc6a558354cc2cf | /src/algebra/linear_recurrence.lean | a7feb17cbca3b85dff017b80b397cabb8115d9ab | [
"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 | 8,263 | lean | /-
Copyright (c) 2020 Anatole Dedecker. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Anatole Dedecker
-/
import data.polynomial.ring_division
import linear_algebra.dimension
import algebra.polynomial.big_operators
/-!
# Linear recurrence
Informally, a "linear recur... |
42d2ea178f8e6ac7db8e4d9f91c5f859b837764b | d1a52c3f208fa42c41df8278c3d280f075eb020c | /src/Lean/Meta/Reduce.lean | d371a1296be05c71f8d0e67901e20f78ed430c66 | [
"Apache-2.0",
"LLVM-exception",
"NCSA",
"LGPL-3.0-only",
"LicenseRef-scancode-inner-net-2.0",
"BSD-3-Clause",
"LGPL-2.0-or-later",
"Spencer-94",
"LGPL-2.1-or-later",
"HPND",
"LicenseRef-scancode-pcre",
"ISC",
"LGPL-2.1-only",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | cipher1024/lean4 | 6e1f98bb58e7a92b28f5364eb38a14c8d0aae393 | 69114d3b50806264ef35b57394391c3e738a9822 | refs/heads/master | 1,642,227,983,603 | 1,642,011,696,000 | 1,642,011,696,000 | 228,607,691 | 0 | 0 | Apache-2.0 | 1,576,584,269,000 | 1,576,584,268,000 | null | UTF-8 | Lean | false | false | 1,497 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Meta.Basic
import Lean.Meta.FunInfo
import Lean.Util.MonadCache
namespace Lean.Meta
partial def reduce (e : Expr) (explicitOnly skipTypes skip... |
e4a1382a675fedd4ed4072b94f8d81c3f4ed0c74 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/set_theory/game/birthday.lean | db7a1616b365ca00bf1e3501d55f3dc3f8210a4c | [
"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 | 4,674 | lean | /-
Copyright (c) 2022 Violeta Hernández Palacios. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Violeta Hernández Palacios
-/
import set_theory.game.ordinal
import set_theory.ordinal.arithmetic
/-!
# Birthdays of games
The birthday of a game is an ordinal that repr... |
60fc53ea35c13be1f668d4eb814d9a91f630a247 | a0e23cfdd129a671bf3154ee1a8a3a72bf4c7940 | /src/Lean/Meta/DiscrTree.lean | 5919548d53c1fdb4c2f6bc24f33029ed78cc2de8 | [
"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 | 18,232 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Meta.Basic
import Lean.Meta.FunInfo
import Lean.Meta.InferType
namespace Lean.Meta.DiscrTree
/-
(Imperfect) discrimination trees.
We use a ... |
f42b7016756992d7e6a2db9fa13cb3c32750c1f5 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/combinatorics/set_family/compression/uv.lean | 453c48e94f14e63b748d8a2fe7ae84eb2e3a4d92 | [
"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 | 8,898 | lean | /-
Copyright (c) 2021 Bhavik Mehta. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yaël Dillies, Bhavik Mehta
-/
import data.finset.card
/-!
# UV-compressions
This file defines UV-compression. It is an operation on a set family that reduces its shadow.
UV-compressin... |
542ddff16d7db140fe681c8dab9641eeadadf897 | 94e33a31faa76775069b071adea97e86e218a8ee | /src/data/multiset/bind.lean | 7e04601843c552c23abe2564ffd4fefa4b3ccd19 | [
"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 | 9,161 | 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 algebra.big_operators.multiset
/-!
# Bind operation for multisets
This file defines a few basic operations on `multiset`, notably the monadic bind.
## Main ... |
bef0acdb802b81c1acba42beff7b6af77271e325 | c37c89b934e368a90005cf2a72457da4d59a48a1 | /fixedpoint/src/Fixedpoint.lean | 3cc526ff7a6e48378233c24f2a095608c709e697 | [
"Apache-2.0"
] | permissive | mukeshtiwari/Leanplayground | aa1cd9c69d4f1db6c824778a560c72f1e5aeaf65 | 773deaf73fbb677cdf518d0db34ad62a79bad642 | refs/heads/master | 1,667,860,698,346 | 1,664,052,419,000 | 1,664,052,419,000 | 209,532,791 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,285 | lean | import data.fintype data.list
namespace Fixedpoint
universes u
variables (A : Type u)
variables [finA : fintype A]
include finA
/- Boolean function representing set -/
def predicate := A -> bool
/- Subset set relation -/
def rel_subset (fSet sSet : predicate A) : Prop :=
∀ (x : A), fSet x = tt -> sSet x = tt
/... |
7a6434bd3a168664cb53d882fc1f1c3c9226c43f | b00eb947a9c4141624aa8919e94ce6dcd249ed70 | /src/Lean/Parser/Syntax.lean | 381fe5d4d52d0cd1089b8a0873bc112729520719 | [
"Apache-2.0"
] | permissive | gebner/lean4-old | a4129a041af2d4d12afb3a8d4deedabde727719b | ee51cdfaf63ee313c914d83264f91f414a0e3b6e | refs/heads/master | 1,683,628,606,745 | 1,622,651,300,000 | 1,622,654,405,000 | 142,608,821 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 5,807 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura, Sebastian Ullrich
-/
import Lean.Parser.Command
import Lean.Parser.Tactic
namespace Lean
namespace Parser
builtin_initialize
registerBuiltinParserAttribut... |
18ba151cdec25770055cc41e2bc7a326027456ee | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/data/nat/hyperoperation.lean | 739603bb2df950e4ac7fcd4390ed7c958a0a101e | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 3,526 | lean | /-
Copyright (c) 2023 Mark Andrew Gerads. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mark Andrew Gerads, Junyan Xu, Eric Wieser
-/
import tactic.ring
import data.nat.parity
/-!
# Hyperoperation sequence
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to ... |
c04a98a6856a08da09d137b4f386c475357546ca | 86f6f4f8d827a196a32bfc646234b73328aeb306 | /examples/logic/unnamed_1503.lean | 311757685b3bce2fcd1ba0d4fa91f2b76aa2f834 | [] | no_license | jamescheuk91/mathematics_in_lean | 09f1f87d2b0dce53464ff0cbe592c568ff59cf5e | 4452499264e2975bca2f42565c0925506ba5dda3 | refs/heads/master | 1,679,716,410,967 | 1,613,957,947,000 | 1,613,957,947,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 190 | lean | import data.real.basic
-- BEGIN
example {x y : ℝ} (h₀ : x ≤ y) (h₁ : ¬ y ≤ x) : x ≤ y ∧ x ≠ y :=
begin
split,
{ assumption },
intro h,
apply h₁,
rw h
end
-- END |
edd53b7ed0879985af3280da0ca507e3ad401163 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/data/mv_polynomial/derivation.lean | 161fbbc4fd518ff1087632ea156b2fa1ee487c73 | [
"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 | 6,211 | 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 data.mv_polynomial.supported
import ring_theory.derivation
/-!
# Derivations of multivariate polynomials
In this file we prove that a derivation of `mv_pol... |
5668d9c0421fd1e0a675b4f324cd1f6063c987de | 74a02dffce22907d2b61b8e226f1d9aa8384c7c0 | /Cli.lean | 418fa3a1f9baf43206d854520ca7df2278ca385b | [
"MIT"
] | permissive | mhuisi/lean4-cli-docker-test | 7e0566c7397746701162e2e22fbad38afcf1e9c4 | 6b3881eaa22596f6f430654f61fc03719ee18c62 | refs/heads/main | 1,680,104,973,886 | 1,616,975,353,000 | 1,616,975,353,000 | 352,411,347 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 38 | lean | import Cli.Basic
import Cli.Extensions |
47ae57da3a82b639956904f564c14e368069adb6 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/Lean/Data/Lsp/Utf16.lean | 8f263ab1c0ab721b80875b131db958708439de00 | [
"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 | 2,998 | lean | /-
Copyright (c) 2020 Marc Huisinga. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Marc Huisinga, Wojciech Nawrocki
-/
import Init.Data.String
import Init.Data.Array
import Lean.Data.Lsp.Basic
import Lean.Data.Position
/-! LSP uses UTF-16 for indexing, so we need to... |
ac95d7eded2c41f5d2ef69ec94ac7e94208c3075 | cb1829c15cd3d28210f93507f96dfb1f56ec0128 | /theorem_proving/06-interacting_with_lean.lean | 3dceb1585b2a796fcdf1bc8ba41ba1f3607395d4 | [] | no_license | williamdemeo/LEAN_wjd | 69f9f76e35092b89e4479a320be2fa3c18aed6fe | 13826c75c06ef435166a26a72e76fe984c15bad7 | refs/heads/master | 1,609,516,630,137 | 1,518,123,893,000 | 1,518,123,893,000 | 97,740,278 | 2 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,392 | lean | -- 6. Interacting with Lean
/- Not all of the information in this section will be useful right away.
Skim this section to get a sense of Lean's features, and return later, as necessary. -/
#print "========================================"
#print "Section 6.1. Importing Files"
#print " "
namespace Sec_6_1
/- W... |
cd842c6f6e6d1311cfc7a7c18044cf9c652f153a | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/linear_algebra/matrix/dot_product.lean | c6b916b3ff7ebb8934a96e23580f7e8ca55e7802 | [
"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 | 2,050 | lean | /-
Copyright (c) 2019 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Patrick Massot, Casper Putz, Anne Baanen
-/
import data.matrix.basic
import linear_algebra.std_basis
/-!
# Dot product of two vectors
This file contains some results... |
510d00f26301358a3fb1d0d3c0358714a05c4d20 | 3dd1b66af77106badae6edb1c4dea91a146ead30 | /tests/lean/run/n3.lean | 8498d81fc04a253b3577d30e97f8a3321e0de6ae | [
"Apache-2.0"
] | permissive | silky/lean | 79c20c15c93feef47bb659a2cc139b26f3614642 | df8b88dca2f8da1a422cb618cd476ef5be730546 | refs/heads/master | 1,610,737,587,697 | 1,406,574,534,000 | 1,406,574,534,000 | 22,362,176 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 616 | lean | definition Prop [inline] : Type.{1} := Type.{0}
variable N : Type.{1}
variable and : Prop → Prop → Prop
infixr `∧`:35 := and
variable le : N → N → Prop
variable lt : N → N → Prop
variable f : N → N
variable add : N → N → N
infixl `+`:65 := add
precedence `≤`:50
precedence `<`:50
infixl ≤ := le
infixl < := lt
notation A... |
5acd3e43c25bb4589ba52e42b6864d325aefa400 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/Lean/Data/PersistentArray.lean | 995a80e9a9c0aa265d868a834e429c3f1f5def5a | [
"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 | 14,184 | 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
-/
universe u v w
namespace Lean
inductive PersistentArrayNode (α : Type u) where
| node (cs : Array (PersistentArrayNode α)) : PersistentArrayNode α
| l... |
a115f94f9400c5e5cf9d90e7719f322be7623c3b | 57aec6ee746bc7e3a3dd5e767e53bd95beb82f6d | /tests/bench/rbmap.lean | 01492d07491e31771151d43e5eaff465ace112c4 | [
"Apache-2.0"
] | permissive | collares/lean4 | 861a9269c4592bce49b71059e232ff0bfe4594cc | 52a4f535d853a2c7c7eea5fee8a4fa04c682c1ee | refs/heads/master | 1,691,419,031,324 | 1,618,678,138,000 | 1,618,678,138,000 | 358,989,750 | 0 | 0 | Apache-2.0 | 1,618,696,333,000 | 1,618,696,333,000 | null | UTF-8 | Lean | false | false | 2,903 | 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
universes u v w w'
inductive color
| Re... |
871ae5cc22d19745355340d4560ff3e267611879 | 32a2d1642d7519c99693bc1d3b24069e4853dd1f | /tactic/basic.lean | 76c159b88c2c9abb3a1491dac1dd07dc221951c7 | [
"Apache-2.0"
] | permissive | Cedric0099/mathlib | 7edb81d5d68e280b4d21f6c0377dad1f9b8c0d71 | a97101d2df5d186848075a2d0452f6a04d8a13eb | refs/heads/master | 1,584,201,847,599 | 1,524,979,632,000 | 1,524,979,632,000 | 131,690,350 | 0 | 0 | null | 1,525,162,341,000 | 1,525,162,341,000 | null | UTF-8 | Lean | false | false | 4,992 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
namespace expr
open tactic
protected meta def to_pos_nat : expr → option ℕ
| `(has_one.one _) := some 1
| `(bit0 %%e) := bit0 <$> e.to_pos_nat
| `(bit1 %%e) := bit1... |
12ea802b557cf4c31fa84bb951020ed93cfb99e3 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/no_confusion1.lean | 190fd090826a98f66f44e72026e07f6ce1c9acbc | [
"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 | 430 | lean | open nat
theorem ex1 (n : nat) : bit0 n ≠ 1 :=
nat.cases_on n
(show 0 ≠ 1, from ne.symm nat.one_ne_zero)
(λ m h1,
have h2 : succ (succ (m + m)) = 1, from nat.succ_add m m ▸ h1,
nat.no_confusion h2 (λ h3, absurd h3 (nat.succ_ne_zero (m + m))))
theorem ex2 (n : nat) : succ n ≠ 0 :=
λ h, nat.no_confusion h
... |
e0d772dcd91fda0543ed072120aba9f56fc9e269 | 947fa6c38e48771ae886239b4edce6db6e18d0fb | /src/category_theory/limits/has_limits.lean | d2d87212c65e4a94b4ade41c2c9a408bc383c23f | [
"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 | 43,176 | lean | /-
Copyright (c) 2018 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Reid Barton, Mario Carneiro, Scott Morrison, Floris van Doorn
-/
import category_theory.limits.is_limit
import category_theory.category.ulift
/-!
# Existence of limits and colimits
I... |
99ad7c623b3f166ad6d0064d35a79ce301cb6a66 | 8c9f90127b78cbeb5bb17fd6b5db1db2ffa3cbc4 | /kennys_stuff.lean | 5eb82eccf7a996c060f67e3ee45770fe4188217b | [] | no_license | picrin/lean | 420f4d08bb3796b911d56d0938e4410e1da0e072 | 3d10c509c79704aa3a88ebfb24d08b30ce1137cc | refs/heads/master | 1,611,166,610,726 | 1,536,671,438,000 | 1,536,671,438,000 | 60,029,899 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,161 | lean | def even : ℕ → Prop
| 0 := true
| 1 := false
| (n+2) := even n
def even2 : ℕ → Prop :=
λ n, ∃ k, n = 2 * k
inductive even3 : ℕ → Prop
| zero : even3 0
| add_two : ∀ n, even3 n → even3 (n+2)
example : even3 4 :=
even3.add_two 2 $ even3.add_two 0 even3.zero
example : ∀ n, even3 n ↔ even2 n :=
λ n,
⟨λ H, even3.rec_on ... |
2010fdd164e0d75a5aca8aa9082d595662e60fb6 | d450724ba99f5b50b57d244eb41fef9f6789db81 | /src/mywork/lectures/lecture_11.lean | bb5bc2deeb9963a17b23c4cad444509283884d3d | [] | no_license | jakekauff/CS2120F21 | 4f009adeb4ce4a148442b562196d66cc6c04530c | e69529ec6f5d47a554291c4241a3d8ec4fe8f5ad | refs/heads/main | 1,693,841,880,030 | 1,637,604,848,000 | 1,637,604,848,000 | 399,946,698 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 5,464 | lean | /-
In this lecture we began to pull together the big
picture of the language of predicate logic, proofs,
reasoning principles (axioms, theorems proved from
them). For each logical connective and quantifier,
we have zero or more introduction and elimination
rules. You absolutely have to understand all of
them and be su... |
7cc81f116434ccec7098f544acbb9074c09e8c95 | 08bd4ba4ca87dba1f09d2c96a26f5d65da81f4b4 | /src/Init/System/IO.lean | db703115134c4762ceb386a8140b80c7be60f981 | [
"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 | 25,726 | lean | /-
Copyright (c) 2017 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Luke Nelson, Jared Roesch, Leonardo de Moura, Sebastian Ullrich
-/
prelude
import Init.Control.EState
import Init.Control.Reader
import Init.Data.String
import Init.Data.ByteArr... |
88959051e21b066f2413c7aa3c01f163fdfdedb1 | 2eab05920d6eeb06665e1a6df77b3157354316ad | /src/data/setoid/basic.lean | 645b9f3119f63ab2ddb2db3999df574104d62f14 | [
"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 | 18,494 | lean | /-
Copyright (c) 2019 Amelia Livingston. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Amelia Livingston, Bryan Gin-ge Chen
-/
import order.galois_connection
/-!
# Equivalence relations
This file defines the complete lattice of equivalence relations on a type, resul... |
4b234373c3168c0dc619eb45a9cd375b521eee40 | 12dabd587ce2621d9a4eff9f16e354d02e206c8e | /world03/level05.lean | 90e61058046d103f6d4afad296bca18c0298d9c5 | [] | no_license | abdelq/natural-number-game | a1b5b8f1d52625a7addcefc97c966d3f06a48263 | bbddadc6d2e78ece2e9acd40fa7702ecc2db75c2 | refs/heads/master | 1,668,606,478,691 | 1,594,175,058,000 | 1,594,175,058,000 | 278,673,209 | 0 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 163 | lean | lemma mul_assoc (a b c : mynat) : (a * b) * c = a * (b * c) :=
begin
induction c with h hd,
repeat {rw mul_zero},
rw mul_succ,
rw mul_succ,
rwa [hd, mul_add],
end
|
df4fad570f6ed7712e8d7c96a95f2f9eb596cab4 | f20db13587f4dd28a4b1fbd31953afd491691fa0 | /tests/lean/run/check_constants.lean | 21317a80fee12250df62b1f14d934ba703294795 | [
"Apache-2.0"
] | permissive | AHartNtkn/lean | 9a971edfc6857c63edcbf96bea6841b9a84cf916 | 0d83a74b26541421fc1aa33044c35b03759710ed | refs/heads/master | 1,620,592,591,236 | 1,516,749,881,000 | 1,516,749,881,000 | 118,697,288 | 1 | 0 | null | 1,516,759,470,000 | 1,516,759,470,000 | null | UTF-8 | Lean | false | false | 15,462 | lean | -- DO NOT EDIT, automatically generated file, generator scripts/gen_constants_cpp.py
import smt system.io
open tactic
meta def script_check_id (n : name) : tactic unit :=
do env ← get_env, (env^.get n >> return ()) <|> (guard $ env^.is_namespace n) <|> (attribute.get_instances n >> return ()) <|> fail ("identifier '" +... |
1f825052f8a66b2dc3efc97db9f56dc579d37797 | 037dba89703a79cd4a4aec5e959818147f97635d | /src/2022/logic/sheet6.lean | a99aab7e1aae48283420d2259d09687a602bb713 | [] | no_license | ImperialCollegeLondon/M40001_lean | 3a6a09298da395ab51bc220a535035d45bbe919b | 62a76fa92654c855af2b2fc2bef8e60acd16ccec | refs/heads/master | 1,666,750,403,259 | 1,665,771,117,000 | 1,665,771,117,000 | 209,141,835 | 115 | 12 | null | 1,640,270,596,000 | 1,568,749,174,000 | Lean | UTF-8 | Lean | false | false | 1,626 | lean | /-
Copyright (c) 2022 Kevin Buzzard. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author : Kevin Buzzard
-/
import tactic -- imports all the Lean tactics
/-!
# Logic in Lean, example sheet 6 : "or" (∨`)
We learn about how to manipulate `P ∨ Q` in Lean.
## Tactics
You'll... |
f5fa640a2161e6bae5bec0d64b8343b7189bd4ad | 206422fb9edabf63def0ed2aa3f489150fb09ccb | /src/algebra/lie/classical.lean | 7d3504e82260c6f4012830a020a964e2cfa3b102 | [
"Apache-2.0"
] | permissive | hamdysalah1/mathlib | b915f86b2503feeae268de369f1b16932321f097 | 95454452f6b3569bf967d35aab8d852b1ddf8017 | refs/heads/master | 1,677,154,116,545 | 1,611,797,994,000 | 1,611,797,994,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 13,510 | lean | /-
Copyright (c) 2020 Oliver Nash. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Oliver Nash
-/
import algebra.invertible
import algebra.lie.skew_adjoint
import linear_algebra.matrix
/-!
# Classical Lie algebras
This file is the place to find definitions and basic p... |
12d624d04525abbd328765702cfa2d81dcac36e2 | 947fa6c38e48771ae886239b4edce6db6e18d0fb | /src/ring_theory/subsemiring/basic.lean | e693a75715df0ab47bd873c2b9dac76d0ab4e6f6 | [
"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 | 44,234 | lean | /-
Copyright (c) 2020 Yury Kudryashov All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov
-/
import algebra.module.basic
import algebra.ring.equiv
import algebra.ring.prod
import data.set.finite
import group_theory.submonoid.centralizer
import group_theory.... |
9db8b8ba548b932f5e3b71a9caff27927b17def5 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/Lean3Lib/init/wf_auto.lean | d9490b319522392f20a67506fbc3dd5a9a5c9770 | [] | no_license | AurelienSaue/Mathlib4_auto | f538cfd0980f65a6361eadea39e6fc639e9dae14 | 590df64109b08190abe22358fabc3eae000943f2 | refs/heads/master | 1,683,906,849,776 | 1,622,564,669,000 | 1,622,564,669,000 | 371,723,747 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 9,263 | lean | /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.data.nat.basic
import Mathlib.Lean3Lib.init.data.prod
universes u l v
namespace Mathlib
inductive acc... |
4ef395afb2ef62791b532601262a9b69d98ba97b | 9028d228ac200bbefe3a711342514dd4e4458bff | /src/category_theory/limits/functor_category.lean | bdfa647ca3534407dd09dc575acd92dcc7b01904 | [
"Apache-2.0"
] | permissive | mcncm/mathlib | 8d25099344d9d2bee62822cb9ed43aa3e09fa05e | fde3d78cadeec5ef827b16ae55664ef115e66f57 | refs/heads/master | 1,672,743,316,277 | 1,602,618,514,000 | 1,602,618,514,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 10,776 | 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 ... |
efd16ecdae8be72eba745f05e2021b94ea433df8 | 968e2f50b755d3048175f176376eff7139e9df70 | /examples/pred_logic/unnamed_131.lean | 86725f02977241d3647d645e7c48cc333e717c90 | [] | no_license | gihanmarasingha/mth1001_sphinx | 190a003269ba5e54717b448302a27ca26e31d491 | 05126586cbf5786e521be1ea2ef5b4ba3c44e74a | refs/heads/master | 1,672,913,933,677 | 1,604,516,583,000 | 1,604,516,583,000 | 309,245,750 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 91 | lean | def avgu : ℤ × ℤ → ℤ
| (x, y) := (x + y)/2
#eval avgu (10,6) -- This displays 8. |
0a3c0216f331ffb947a07ebdbdcad9379078f835 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/algebra/category/Group/colimits.lean | 037d3b1a50afb1663dbb597453fa303a3cf9696d | [
"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 | 9,697 | lean | /-
Copyright (c) 2019 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import algebra.category.Group.preadditive
import group_theory.quotient_group
import category_theory.limits.concrete_category
import category_theory.limits.shapes.kern... |
192b04c4049bbaa4ca4250b20b1d47efabebd4eb | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/topology/algebra/ordered/basic.lean | 6950c7f3e87fcdf7f9e9d10d4ffc74d084456ad7 | [
"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 | 174,127 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro, Yury Kudryashov
-/
import tactic.tfae
import algebra.group_with_zero.power
import data.set.intervals.pi
import topology.algebra.group
import order.filte... |
561ce5f5efadf2fb74a63192a1f789c6ecad37cb | bb31430994044506fa42fd667e2d556327e18dfe | /src/data/polynomial/degree/definitions.lean | bac87138058bb7226131e1f9e82e47a232c22c44 | [
"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 | 50,151 | 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.fintype.big_operators
import data.nat.with_bot
import data.polynomial.monomial
import data.polynomial.coeff
/... |
64b9b5f80878fd095ad7a35474ac3158c154648b | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/exitAfterParseError.lean | 4d139b075f4a902e5ef74d2a0786b7c06a9ca186 | [
"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 | 27 | lean |
def foo
#exit
def bla
|
4e78eaf24dda5f086e02fc459fed3055ab44e29e | d642a6b1261b2cbe691e53561ac777b924751b63 | /src/data/equiv/algebra.lean | 46780b68ae0adb43c1b69bd574f3aaeb33d312b3 | [
"Apache-2.0"
] | permissive | cipher1024/mathlib | fee56b9954e969721715e45fea8bcb95f9dc03fe | d077887141000fefa5a264e30fa57520e9f03522 | refs/heads/master | 1,651,806,490,504 | 1,573,508,694,000 | 1,573,508,694,000 | 107,216,176 | 0 | 0 | Apache-2.0 | 1,647,363,136,000 | 1,508,213,014,000 | Lean | UTF-8 | Lean | false | false | 19,437 | lean | /-
Copyright (c) 2018 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Callum Sutton
-/
import data.equiv.basic algebra.field
/-!
# equivs in the algebraic hierarchy
In the first part there are theorems of the following
form: if `α` has... |
9f2855ea2955bd7d1c88625055250bf0172a1e4a | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/tactic/lint/basic.lean | f1b03c9dccb657e4367ec49c29515fe17ca0e66e | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 4,092 | 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.core
/-!
# Basic linter types and attributes
This file defines the basic types and attributes used by the linting
... |
7554b1bede0418dad79271a4cce42fb79322a3ba | b7536f9489184b9b43e71226db2c620e772337e9 | /prelude/A.lean | 8e30f98e57391f671b0401a38a71a7b889423c6e | [] | no_license | gebner/lean4-split-leanpkg | bf7cf03b9672963188cb05dcba3a5d7b546a7d78 | 2a8cc83583263ef4f93a513271876ae69748661d | refs/heads/master | 1,681,771,764,711 | 1,620,545,291,000 | 1,620,545,291,000 | 365,693,312 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 11 | lean | def A := 1
|
048761e95c9e39150b3e8c74e82aff5a5ccba962 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/ring_theory/algebraic.lean | 4c411d58b5df938ea0ca623060b7f1d36bdc26bc | [
"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 | 10,097 | lean | /-
Copyright (c) 2019 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin
-/
import linear_algebra.finite_dimensional
import ring_theory.integral_closure
import data.polynomial.integral_normalization
/-!
# Algebraic elements and algebraic ex... |
2ac0ae6c5d613bbe70edfd2ae826a68902d744cd | c777c32c8e484e195053731103c5e52af26a25d1 | /src/group_theory/subsemigroup/centralizer.lean | 8eadf8a074db31984b64f2cf0e83e85313fb81a2 | [
"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 | 5,039 | lean | /-
Copyright (c) 2021 Thomas Browning. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Thomas Browning, Jireh Loreaux
-/
import group_theory.subsemigroup.center
import algebra.group_with_zero.units.lemmas
/-!
# Centralizers of magmas and semigroups
> THIS FILE IS SYNC... |
f274c7a8ad4dd5da6110d90c34c472610ddf1fa9 | 29cc89d6158dd3b90acbdbcab4d2c7eb9a7dbf0f | /x31_library.lean | b537191e60c1477f02617d4625a42f9844422f15 | [] | 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 | 3,679 | lean | /- Library 3.1: Program Semantics — Operational Semantics -/
/- Some auxiliary lemmas concerning logical connectives and relations -/
@[simp] lemma or_imp_distrib {p q r : Prop} : p ∨ q → r ↔ (p → r) ∧ (q → r) :=
iff.intro
(assume h, ⟨assume hp, h (or.intro_left _ hp), assume hq, h (or.intro_right _ hq)⟩)
(assume... |
9464b28a6c87c2993824cc7378d40092d046ab7d | a721fe7446524f18ba361625fc01033d9c8b7a78 | /src/principia/myrat/basic.lean | 07fcc874fc8255e4065dd7af58542d8009ff045a | [] | no_license | Sterrs/leaning | 8fd80d1f0a6117a220bb2e57ece639b9a63deadc | 3901cc953694b33adda86cb88ca30ba99594db31 | refs/heads/master | 1,627,023,822,744 | 1,616,515,221,000 | 1,616,515,221,000 | 245,512,190 | 2 | 0 | null | 1,616,429,050,000 | 1,583,527,118,000 | Lean | UTF-8 | Lean | false | false | 6,766 | lean | import .frac
import ..myfield.basic
namespace hidden
open myint
open myring
open ordered_myring
open ordered_integral_domain
def myrat := quotient frac.frac.setoid
namespace myrat
instance deceq: decidable_eq myrat := quotient.decidable_eq
private lemma class_setoid (x y : frac) :
⟦x⟧ = ⟦y⟧ ↔ x ≈ y := iff.intro q... |
a3b25d4b1b2203c35a11f2735e53a4fdf555eca1 | 75bd9c50a345718d735a7533c007cf45f9da9a83 | /src/algebra/associated.lean | 5f02075f274de1d0cca1f402ec38621890f9c9f0 | [
"Apache-2.0"
] | permissive | jtbarker/mathlib | a1a3b1ddc16179826260578410746756ef18032c | 392d3e376b44265ef2dedbd92231d3177acc1fd0 | refs/heads/master | 1,671,246,411,096 | 1,600,801,712,000 | 1,600,801,712,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 27,424 | 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
-/
import data.multiset.basic
import algebra.divisibility
/-!
# Associated, prime, and irreducible elements.
-/
variables {α : Type*} {β : Type*} {γ : ... |
3a95901af2d6ac414318a9b26615b4826c5dd112 | 08bd4ba4ca87dba1f09d2c96a26f5d65da81f4b4 | /src/Lean/Compiler/LCNF/Main.lean | 8776e19cb8eb81cf458b520eafff54cdaf51c6e0 | [
"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 | 4,065 | lean | /-
Copyright (c) 2022 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Compiler.Options
import Lean.Compiler.LCNF.PassManager
import Lean.Compiler.LCNF.Passes
import Lean.Compiler.LCNF.PrettyPrinter
import Lean.Comp... |
ae2dee7c559a6273df538c1d9bd5cb97a6e6a95d | 947b78d97130d56365ae2ec264df196ce769371a | /src/Lean/CoreM.lean | bf9a64f6f58b017bd00b6982b4d7972c18ce734c | [
"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 | 4,068 | 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.Util.RecDepth
import Lean.Util.Trace
import Lean.Environment
import Lean.Exception
import Lean.InternalExceptionId
import Lean.Eval
import Lean.... |
c73c13ab218e3a255d14aff12d6952e2563402a0 | 3dd1b66af77106badae6edb1c4dea91a146ead30 | /tests/lean/run/nat_bug3.lean | 261c8b69e09d9504f05edbfa559b0f31b2a67c84 | [
"Apache-2.0"
] | permissive | silky/lean | 79c20c15c93feef47bb659a2cc139b26f3614642 | df8b88dca2f8da1a422cb618cd476ef5be730546 | refs/heads/master | 1,610,737,587,697 | 1,406,574,534,000 | 1,406,574,534,000 | 22,362,176 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 699 | lean | import logic num
using num eq_proofs
inductive nat : Type :=
| zero : nat
| succ : nat → nat
abbreviation plus (x y : nat) : nat
:= nat_rec x (λn r, succ r) y
definition to_nat [coercion] [inline] (n : num) : nat
:= num_rec zero (λn, pos_num_rec (succ zero) (λn r, plus r (plus r (succ zero))) (λn r, plus r r) n) n
de... |
86d95ece70e1bc9f918e8764c4c2de3475a3bb63 | ae1e94c332e17c7dc7051ce976d5a9eebe7ab8a5 | /tests/bench/rbmap.lean | d0fdb26f3401d176ec418d15342958270339082d | [
"Apache-2.0"
] | permissive | dupuisf/lean4 | d082d13b01243e1de29ae680eefb476961221eef | 6a39c65bd28eb0e28c3870188f348c8914502718 | refs/heads/master | 1,676,948,755,391 | 1,610,665,114,000 | 1,610,665,114,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,916 | lean | #lang lean4
/-
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
universes u v w w'
inductiv... |
33bd2dabd697d70d24f9ae79749a9a516ca00ff9 | b9d8165d695e844c92d9d4cdcac7b5ab9efe09f7 | /src/topology/basic.lean | 28085f2d268d32fa37f7950f0a06c5a205432b0e | [
"Apache-2.0"
] | permissive | spapinistarkware/mathlib | e917d9c44bf85ef51db18e7a11615959f714efc5 | 0a9a1ff463a1f26e27d7c391eb7f6334f0d90383 | refs/heads/master | 1,606,808,129,547 | 1,577,478,369,000 | 1,577,478,369,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 34,492 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro, Jeremy Avigad
-/
import order.filter
/-!
# Basic theory of topological spaces.
The main definition is the type class `topological space α` which endo... |
8d0afc22002489b06c13fbadc9b9ea02d12dfdb9 | 624f6f2ae8b3b1adc5f8f67a365c51d5126be45a | /tmp/new-frontend/parser/token.lean | c1dc4042600736a5c9bb48bb9e0ef86fa427913d | [
"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 | 13,744 | lean | /-
Copyright (c) 2018 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Sebastian Ullrich
Tokenizer for the Lean language
Even though our Parser architecture does not statically depend on a tokenizer but works directly on
the input String, we still... |
64cc6adaf8d4154d89f3d8dc02c680f7b165afa5 | 4fa161becb8ce7378a709f5992a594764699e268 | /src/ring_theory/polynomial.lean | 352c0ce1cd794d13f4e6abc92d459054a90c3a15 | [
"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 | 18,602 | lean | /-
Copyright (c) 2019 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau
Ring-theoretic supplement of data.polynomial.
Main result: Hilbert basis theorem, that if a ring is noetherian then so is its polynomial ring.
-/
import data.mv_polynomial
impor... |
86fe49d68abff2b3f2281fabfca2838eb1cebc1d | 3446e92e64a5de7ed1f2109cfb024f83cd904c34 | /src/game/world1/level5.lean | 1b969435de86a869b4011b420210f018dac547ff | [] | no_license | kckennylau/natural_number_game | 019f4a5f419c9681e65234ecd124c564f9a0a246 | ad8c0adaa725975be8a9f978c8494a39311029be | refs/heads/master | 1,598,784,137,722 | 1,571,905,156,000 | 1,571,905,156,000 | 218,354,686 | 0 | 0 | null | 1,572,373,319,000 | 1,572,373,318,000 | null | UTF-8 | Lean | false | false | 2,850 | lean | import mynat.definition -- hide
import mynat.add -- definition of addition
namespace mynat -- hide
/-
# World 1 : Tutorial world
## Level 5: addition
We have a new import -- the definition of addition.
Peano defined addition `a + b` by induction on `b`, or,
more precisely, by *recursion* on `b`. He first explained ... |
eb15bcab70316ecc4a0b4f247f423abb025fe94c | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/algebra/lie/universal_enveloping.lean | 218f402cb80cdbcb1a9765318150afb967129e71 | [
"Apache-2.0"
] | permissive | alreadydone/mathlib | dc0be621c6c8208c581f5170a8216c5ba6721927 | c982179ec21091d3e102d8a5d9f5fe06c8fafb73 | refs/heads/master | 1,685,523,275,196 | 1,670,184,141,000 | 1,670,184,141,000 | 287,574,545 | 0 | 0 | Apache-2.0 | 1,670,290,714,000 | 1,597,421,623,000 | Lean | UTF-8 | Lean | false | false | 5,592 | lean | /-
Copyright (c) 2020 Oliver Nash. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Oliver Nash
-/
import algebra.lie.of_associative
import algebra.ring_quot
import linear_algebra.tensor_algebra.basic
/-!
# Universal enveloping algebra
Given a commutative ring `R` and ... |
1c408a58157fdf152ef9021a5648c96f31deb340 | ea4aee6b11f86433e69bb5e50d0259e056d0ae61 | /src/tidy/repeat_at_least_once.lean | 3cd85cdf7a773942d1ff0cab9de619746978f3e4 | [] | no_license | timjb/lean-tidy | e18feff0b7f0aad08c614fb4d34aaf527bf21e20 | e767e259bf76c69edfd4ab8af1b76e6f1ed67f48 | refs/heads/master | 1,624,861,693,182 | 1,504,411,006,000 | 1,504,411,006,000 | 103,740,824 | 0 | 0 | null | 1,505,553,968,000 | 1,505,553,968,000 | null | UTF-8 | Lean | false | false | 394 | lean | -- Copyright (c) 2017 Scott Morrison. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Authors: Scott Morrison
namespace tactic
meta def repeat_at_least_once ( t : tactic unit ) : tactic unit := t >> repeat t
namespace interactive
meta def repeat_at_least_once : itactic ... |
dbab7160aee8d5a091a0a73934ba54eae625035d | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/linear_algebra/exterior_algebra/basic.lean | d5c712c549edb010f6719513dd9b5bf2ae62d1e7 | [
"Apache-2.0"
] | permissive | jcommelin/mathlib | d8456447c36c176e14d96d9e76f39841f69d2d9b | ee8279351a2e434c2852345c51b728d22af5a156 | refs/heads/master | 1,664,782,136,488 | 1,663,638,983,000 | 1,663,638,983,000 | 132,563,656 | 0 | 0 | Apache-2.0 | 1,663,599,929,000 | 1,525,760,539,000 | Lean | UTF-8 | Lean | false | false | 10,993 | lean | /-
Copyright (c) 2020 Adam Topaz. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Zhangir Azerbayev, Adam Topaz, Eric Wieser
-/
import algebra.ring_quot
import linear_algebra.clifford_algebra.basic
import linear_algebra.alternating
import group_theory.perm.sign
/-!
# ... |
085ee8c556b7e25b6f6fc0c21908d00607c129ea | b3fced0f3ff82d577384fe81653e47df68bb2fa1 | /src/analysis/calculus/mean_value.lean | d9aa219e771e799048dd599f0deb0d4dadf6708d | [
"Apache-2.0"
] | permissive | ratmice/mathlib | 93b251ef5df08b6fd55074650ff47fdcc41a4c75 | 3a948a6a4cd5968d60e15ed914b1ad2f4423af8d | refs/heads/master | 1,599,240,104,318 | 1,572,981,183,000 | 1,572,981,183,000 | 219,830,178 | 0 | 0 | Apache-2.0 | 1,572,980,897,000 | 1,572,980,896,000 | null | UTF-8 | Lean | false | false | 7,663 | lean | /-
Copyright (c) 2019 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
The mean value inequality: a bound on the derivative of a function implies that this function
is Lipschitz continuous for the same bound.
-/
import analysis.calcu... |
fc107273b1d483be6208ed31d0be2c696b7b60b9 | a523fc1740c8cb84cd0fa0f4b52a760da4e32a5c | /src/missing_mathlib/algebra/ring.lean | 1e4caadedc8a6d70e39469b30c78a1bf3d120fb8 | [] | no_license | abentkamp/spectral | a1aff51e85d30b296a81d256ced1d382345d3396 | 751645679ef1cb6266316349de9e492eff85484c | refs/heads/master | 1,669,994,798,064 | 1,597,591,646,000 | 1,597,591,646,000 | 287,544,072 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 108 | lean | import algebra.ring
universes u v
variable {α : Type u}
section domain
variable [domain α]
end domain |
7263fb112483eadac7ea6bd6b7a480e45b908fda | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/pp_links.lean | f9d1d579f6da1b377709285b0570263e070be649 | [
"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 | 292 | lean | open tactic
structure point (α : Type*) :=
(x : α) (y : α)
example : ∀ i : ℤ, (i, i).snd = i + 0 + (point.mk 0 i).x := by do
os ← get_options,
set_options (os.set_bool `pp.links tt)
example : ∃ i j : ℤ, true := by do
os ← get_options,
set_options (os.set_bool `pp.links tt)
|
3565b73ef41304f339b1c45ea4c939bdfe430c03 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/meta/expr_lens_auto.lean | ce91b336a0326a12386f209d39d39d9e4b681444 | [] | 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 | 1,765 | lean | /-
Copyright (c) 2020 Keeley Hoek. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin, Keeley Hoek, Scott Morrison
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.meta.expr
import Mathlib.PostPort
universes l
namespace Mathli... |
e2748636ba4cb0f5ef66bc8c41c346405aac8132 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /test/norm_cast_coe_fn.lean | 3942e367604f87ccecd90f441c21ef2b67146efa | [
"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 | 767 | lean | import tactic.norm_cast
structure hom (α β : Type) :=
(to_fun : α → β)
instance {α β} : has_coe_to_fun (hom α β) :=
⟨_, hom.to_fun⟩
structure hom_plus (α β) extends hom α β
instance {α β} : has_coe (hom_plus α β) (hom α β) :=
⟨hom_plus.to_hom⟩
instance {α β} : has_coe_to_fun (hom_plus α β) :=
⟨λ _, α → β, λ f, f⟩
... |
6860d2568511bc1fc794bbd0acc3212b392301f9 | 4bddde0d06fbd53be6f23d7f5899998e8f63410b | /test/test.lean | bafdf7950720aebcf1fae00576ecdcc3af03cbd5 | [] | no_license | khoek/libiconfig | 4816290a5862af14b07683b3d2663e8e62832ef4 | 6f55c50bc5d852d26ee5ee4c5b52b2cda2a852e5 | refs/heads/master | 1,586,109,683,212 | 1,559,567,916,000 | 1,559,567,916,000 | 157,085,466 | 0 | 1 | null | 1,559,567,917,000 | 1,541,945,134,000 | Lean | UTF-8 | Lean | false | false | 605 | lean | import tactic.iconfig
section
iconfig_mk my_tac
set_option formatter.hide_full_terms false
iconfig_add my_tac [
abool : bool, -- (TODO:) := tt ! iconfig.overload_policy.ignore⟩,
anum : nat,
aenum : enat,
astr : string,
aident : name,
]
end
namespace tactic
namespace interactive
meta def cfgdump (... |
536390f64ad32808400627be8084415d85fa5cdf | 491068d2ad28831e7dade8d6dff871c3e49d9431 | /library/theories/group_theory/finsubg.lean | 7074531ff4f2c264df8a19ca8d36560c7878aef9 | [
"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 | 20,702 | lean | /-
Copyright (c) 2015 Haitao Zhang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author : Haitao Zhang
-/
-- develop the concept of finite subgroups based on finsets so that the properties
-- can be used directly without translating from the set based theory first
import d... |
c5002d66cf2e7967d024bdf3b3cdadbe7a23ce9f | 4fa161becb8ce7378a709f5992a594764699e268 | /src/tactic/default.lean | 2d0b3fbc5baf095b956bf2c9dfd712ec71ee1b96 | [
"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 | 970 | lean | /-
This file imports many useful tactics ("the kitchen sink").
You can use `import tactic` at the beginning of your file to get everything.
(Although you may want to strip things down when you're polishing.)
Because this file imports some complicated tactics, it has many transitive dependencies
(which of course may n... |
5795816db333bdb644ea5e63aab45adc12f363a5 | 302c785c90d40ad3d6be43d33bc6a558354cc2cf | /src/data/finset/basic.lean | 8a5963971e58e93f8645be12ee763f36597dd332 | [
"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 | 114,807 | 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.monotonicity
import tactic.apply
import tactic.nth_rewrite
/-!
# F... |
2de9355f727222d06edd35522323cd942a9012f5 | 57fdc8de88f5ea3bfde4325e6ecd13f93a274ab5 | /algebra/ordered_ring.lean | 0087c8b0014ac6ab9bc611cc160017231d7372f9 | [
"Apache-2.0"
] | permissive | louisanu/mathlib | 11f56f2d40dc792bc05ee2f78ea37d73e98ecbfe | 2bd5e2159d20a8f20d04fc4d382e65eea775ed39 | refs/heads/master | 1,617,706,993,439 | 1,523,163,654,000 | 1,523,163,654,000 | 124,519,997 | 0 | 0 | Apache-2.0 | 1,520,588,283,000 | 1,520,588,283,000 | null | UTF-8 | Lean | false | false | 8,216 | lean | /-
Copyright (c) 2017 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
import order.basic algebra.order algebra.ordered_group algebra.ring
universe u
variable {α : Type u}
-- TODO: this is necessary additionally to mul_nonneg otherwise... |
929f95fed1e7d64eec326118af7e657fef2e2caf | f3a5af2927397cf346ec0e24312bfff077f00425 | /src/tactic/nat_num_game.lean | 7c49d6d2c8d1a00077d8a3f6a9e3bf56c39f1bf6 | [
"Apache-2.0"
] | permissive | ImperialCollegeLondon/natural_number_game | 05c39e1586408cfb563d1a12e1085a90726ab655 | f29b6c2884299fc63fdfc81ae5d7daaa3219f9fd | refs/heads/master | 1,688,570,964,990 | 1,636,908,242,000 | 1,636,908,242,000 | 195,403,790 | 277 | 84 | Apache-2.0 | 1,694,547,955,000 | 1,562,328,792,000 | Lean | UTF-8 | Lean | false | false | 1,873 | lean | -- Many many thanks to Rob Lewis for supplying 99.9% of this file.
import tactic.modded tactic.apply
open tactic
meta def copy_decl (d : declaration) : tactic unit :=
add_decl $ d.update_name $ d.to_name.update_prefix `nat_num_game.interactive
@[reducible] meta def filter (d : declaration) : bool :=
d.to_name ∉ [`t... |
59bc3824de00a3244ef53793becf053358781b23 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/elab4.lean | 29300b21f86c37fe4c7f90417ff760dbc69c84ab | [
"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 | 337 | lean | definition foo.f {A : Type*} {B : Type*} (a : A) (b : B) : A := a
definition boo.f (a : nat) (b : nat) (c : nat) := a + b + c
definition bla.f (a b c d : bool) := a
open boo foo bla
set_option pp.full_names true
#check f 0 1 2
#check f 0 1 2 3
#check f 0 1
#check f tt 2
#check f tt ff tt
#check f tt ff
#chec... |
16ff2b14d59e10d019e1215911688ddfdaab6c92 | 8b9f17008684d796c8022dab552e42f0cb6fb347 | /tests/lean/run/match1.lean | 296dc13c4a6614c345104a607f7de37f81b0a090 | [
"Apache-2.0"
] | permissive | chubbymaggie/lean | 0d06ae25f9dd396306fb02190e89422ea94afd7b | d2c7b5c31928c98f545b16420d37842c43b4ae9a | refs/heads/master | 1,611,313,622,901 | 1,430,266,839,000 | 1,430,267,083,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 741 | lean | import data.nat.basic
open nat
definition two1 : nat := 2
definition two2 : nat := succ (succ (zero))
constant f : nat → nat → nat
(*
local tc = type_checker_with_hints(get_env(), true)
local plugin = whnf_match_plugin(tc)
function tst_match(p, t)
local r1, r2 = match(p, t, plugin)
assert(r1)
prin... |
5798d8a0c4aff1839fb2f67c4c580982917de66a | 75db7e3219bba2fbf41bf5b905f34fcb3c6ca3f2 | /hott/types/nat/basic.hlean | baac4f2100231388cef37a226a85d5a63d8e2ac2 | [
"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 | 10,023 | hlean | /-
Copyright (c) 2014 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
(Ported from standard library)
Authors: Floris van Doorn, Leonardo de Moura, Jeremy Avigad
Basic operations on the natural numbers.
-/
import ..num algebra.ring
open prod binary eq algebra l... |
090f6cf36202bf3e63f3b965a4649e3740086058 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/category_theory/limits/shapes/terminal.lean | 7f70267457a1b63b3f8194d50d0fe234fc484f34 | [] | 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 | 10,750 | lean | /-
Copyright (c) 2019 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison, Bhavik Mehta
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.category_theory.pempty
import Mathlib.category_theory.limits.limits
import Ma... |
256ba6bc7b7a00de9fae64fe0b4c6b81bd3ed17d | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /test/lint_simp_comm.lean | dc675d22ee2d5ebaa66d7a87015551821c0f0fc6 | [
"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 | 1,081 | lean | import tactic.lint
import algebra.group.basic
/-! ## Commutativity lemmas should be rejected -/
attribute [simp] add_comm add_left_comm
open tactic
run_cmd do
decl ← get_decl ``add_comm,
res ← linter.simp_comm.test decl,
-- linter complains
guard res.is_some
open tactic
run_cmd do
decl ← get_decl ``add_left_comm,
... |
36a6ab96012aec771b878a620b4628a691437dd3 | 618003631150032a5676f229d13a079ac875ff77 | /src/tactic/push_neg.lean | d49a1d050cc90cee6b598379af312317e9dc7fc8 | [
"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 | 7,955 | lean | /-
Copyright (c) 2019 Patrick Massot All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Patrick Massot, Simon Hudon
A tactic pushing negations into an expression
-/
import tactic.interactive
import algebra.order
open tactic expr
namespace push_neg
section
universe u
... |
575a7c74aeae1ce46878c9e3c080a81136f6a5e0 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/univPolyEnum.lean | 96f4af0867f257b2d2966b77c997368e2042180a | [
"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 | 35 | lean | inductive T : Type u
| intro : T
|
f0ff35f688fc9f59b0898dbb551bd357d6edb4b7 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/run/list_elab1.lean | f383919055dfeb7a0f367308d1aa685c1d347e88 | [
"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 | 1,146 | 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
----------------------------------------... |
2558a0973409cee630d17e0dce30f4403e3f64f9 | 842b7df4a999c5c50bbd215b8617dd705e43c2e1 | /nat_num_game/src/Advanced_Addition_World/adv_add_wrld2.lean | cd258e1cd2898d56509c875802d07dd6fa72abe1 | [] | no_license | Samyak-Surti/LeanCode | 1c245631f74b00057d20483c8ac75916e8643b14 | 944eac3e5f43e2614ed246083b97fbdf24181d83 | refs/heads/master | 1,669,023,730,828 | 1,595,534,784,000 | 1,595,534,784,000 | 282,037,186 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 199 | lean | theorem succ_succ_inj {a b : ℕ} (h : nat.succ(nat.succ(a)) = nat.succ(nat.succ(b))) : a = b :=
begin
have hs : nat.succ a = nat.succ b,
apply nat.succ.inj h,
apply nat.succ.inj hs,
end |
4173baf3d1e9d7559f30fae142d0fd3a2d1e84a2 | ff5230333a701471f46c57e8c115a073ebaaa448 | /library/init/meta/environment.lean | 92b9b936ef0881747e0be28f539028a7fdb42b3a | [
"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 | 9,756 | 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.declaration init.meta.exceptional init.data.option.basic
import init.meta.rb_map
/-- An __environment__ contains all of the declar... |
cea6e88d3b8334259daa0412b76747aa50f44c44 | 8b9f17008684d796c8022dab552e42f0cb6fb347 | /library/data/examples/notencodable.lean | 55ba37087ffe2a86c3028286deb68abba09783c9 | [
"Apache-2.0"
] | permissive | chubbymaggie/lean | 0d06ae25f9dd396306fb02190e89422ea94afd7b | d2c7b5c31928c98f545b16420d37842c43b4ae9a | refs/heads/master | 1,611,313,622,901 | 1,430,266,839,000 | 1,430,267,083,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,170 | lean | /-
Copyright (c) 2015 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Module: data.examples.unencodable
Author: Leonardo de Moura
Small example showing that (nat → nat) is not encodable.
-/
import data.encodable
open nat encodable option
section
hypothe... |
d338b385bb92ec8552efa274aa1df06b99bb65c2 | b2fe74b11b57d362c13326bc5651244f111fa6f4 | /src/category_theory/sites/canonical.lean | eeb4ee71eade62b61ea8d39d5465b6d9f57a9e9a | [
"Apache-2.0"
] | permissive | midfield/mathlib | c4db5fa898b5ac8f2f80ae0d00c95eb6f745f4c7 | 775edc615ecec631d65b6180dbcc7bc26c3abc26 | refs/heads/master | 1,675,330,551,921 | 1,608,304,514,000 | 1,608,304,514,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 9,645 | lean | /-
Copyright (c) 2020 Bhavik Mehta. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Bhavik Mehta
-/
import category_theory.sites.sheaf
/-!
# The canonical topology on a category
We define the finest (largest) Grothendieck topology for which a given presheaf `P` is a... |
486d6f0598ec8f61381c538d7bc67a7fd879e3bc | ad0c7d243dc1bd563419e2767ed42fb323d7beea | /analysis/topology/topological_space.lean | df4ff60c2f89c59143245745075a53ddcbf9de4b | [
"Apache-2.0"
] | permissive | sebzim4500/mathlib | e0b5a63b1655f910dee30badf09bd7e191d3cf30 | 6997cafbd3a7325af5cb318561768c316ceb7757 | refs/heads/master | 1,585,549,958,618 | 1,538,221,723,000 | 1,538,221,723,000 | 150,869,076 | 0 | 0 | Apache-2.0 | 1,538,229,323,000 | 1,538,229,323,000 | null | UTF-8 | Lean | false | false | 61,395 | 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
Theory of topological spaces.
Parts of the formalization is based on the books:
N. Bourbaki: General Topology
I. M. James: Topologies and Uniformit... |
da1ec4143d4d0d07c7f45729786fb6eb4263d5c3 | 80cc5bf14c8ea85ff340d1d747a127dcadeb966f | /src/computability/turing_machine.lean | ffc12b44718a7fef3c393e46adf9ae875cdd5f7b | [
"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 | 109,861 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Mario Carneiro
-/
import algebra.order
import data.fintype.basic
import data.pfun
import tactic.apply_fun
import logic.function.iterate
/-!
# Turing machines
This file defines a seque... |
0e95b0311692261776570f059afed50dbd9a2305 | 4efff1f47634ff19e2f786deadd394270a59ecd2 | /src/tactic/ring.lean | 6c74d0d351712d2c8d0f8585fc33aa6a4181accb | [
"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 | 28,926 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
import tactic.norm_num
import data.int.range
/-!
# `ring`
Evaluate expressions in the language of commutative (semi)rings.
Based on <http://www.cs.ru.nl/~freek/cour... |
99c0fd8d5ce8f2b849867c99ad82262fa66e7cd5 | af6139dd14451ab8f69cf181cf3a20f22bd699be | /library/init/meta/attribute.lean | b8479bc2c768c662a7f1d2e8c1dfce1dc5f903ee | [
"Apache-2.0"
] | permissive | gitter-badger/lean-1 | 1cca01252d3113faa45681b6a00e1b5e3a0f6203 | 5c7ade4ee4f1cdf5028eabc5db949479d6737c85 | refs/heads/master | 1,611,425,383,521 | 1,487,871,140,000 | 1,487,871,140,000 | 82,995,612 | 0 | 0 | null | 1,487,905,618,000 | 1,487,905,618,000 | null | UTF-8 | Lean | false | false | 1,587 | lean | /-
Copyright (c) 2016 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sebastian Ullrich
-/
prelude
import init.meta.tactic init.meta.rb_map init.meta.quote
meta constant attribute.get_instances : name → tactic (list name)
meta constant attribute.... |
f0552eb64dc87ca8f71c3509acdc641d4c76d872 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/data/finsupp/pointwise.lean | e859af998c5f8f60b0ce963386783c5707b9e135 | [
"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 | 2,433 | 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 data.finsupp.basic
/-!
# The pointwise product on `finsupp`.
For the convolution product on `finsupp` when the domain has a binary operation,
see the type sy... |
984bb972035361b7356308ac91779b4ef4ca48fd | 82e44445c70db0f03e30d7be725775f122d72f3e | /src/topology/metric_space/closeds.lean | dcbfb77ea0c57a7737265fcec2b8673533337eaf | [
"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 | 21,273 | lean | /-
Copyright (c) 2019 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import topology.metric_space.hausdorff_distance
import topology.compacts
import analysis.specific_limits
/-!
# Closed subsets
This file defines the metric and... |
1a66203790ef3f4be65a7ef02b30d1084ca693e8 | 08bd4ba4ca87dba1f09d2c96a26f5d65da81f4b4 | /src/Init/Data/String/Extra.lean | 02bfdee8948181ca1f7f8d335307a7cb2176ab09 | [
"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 | 3,326 | lean | /-
Copyright (c) 2020 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura
-/
prelude
import Init.Control.Except
import Init.Data.ByteArray
import Init.SimpLemmas
import Init.Data.Nat.Linear
import Init.Util
import Init.WFTactics
name... |
d713be0dbfeee94069a988f105a0b0a1534d2257 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/algebra/ring/boolean_ring.lean | 48516c021d21265c89c2b04548f314c73d749c9b | [
"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 | 15,961 | lean | /-
Copyright (c) 2021 Bryan Gin-ge Chen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Bryan Gin-ge Chen, Yaël Dillies
-/
import algebra.punit_instances
import order.hom.lattice
import tactic.abel
import tactic.ring
/-!
# Boolean rings
A Boolean ring is a ring where... |
97d8dca3b9efe57ed04bd2bb566186602f9a4378 | f57749ca63d6416f807b770f67559503fdb21001 | /hott/algebra/category/functor.hlean | bd7e7dcbe25c0476e1e1ee5499bafe06d1ce543d | [
"Apache-2.0"
] | permissive | aliassaf/lean | bd54e85bed07b1ff6f01396551867b2677cbc6ac | f9b069b6a50756588b309b3d716c447004203152 | refs/heads/master | 1,610,982,152,948 | 1,438,916,029,000 | 1,438,916,029,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 10,273 | hlean | /-
Copyright (c) 2015 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn, Jakob von Raumer
-/
import .iso types.pi
open function category eq prod prod.ops equiv is_equiv sigma sigma.ops is_trunc funext iso
open pi
structure functor (C ... |
22ebd04f89a17fef19776fdb87cf60c6cd447771 | 57aec6ee746bc7e3a3dd5e767e53bd95beb82f6d | /tests/bench/rbmap_checkpoint.lean | 4c4ecf178b793b789f940943d7bb4ad5cb9799af | [
"Apache-2.0"
] | permissive | collares/lean4 | 861a9269c4592bce49b71059e232ff0bfe4594cc | 52a4f535d853a2c7c7eea5fee8a4fa04c682c1ee | refs/heads/master | 1,691,419,031,324 | 1,618,678,138,000 | 1,618,678,138,000 | 358,989,750 | 0 | 0 | Apache-2.0 | 1,618,696,333,000 | 1,618,696,333,000 | null | UTF-8 | Lean | false | false | 3,429 | 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
universes u v w w'
inductive color
| Re... |
6b7670417a714d5b34d5b2848974952d3a4e2c82 | 4efff1f47634ff19e2f786deadd394270a59ecd2 | /src/data/set/disjointed.lean | c2026f83a90691cdb12750167b22e538e097cbce | [
"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 | 4,336 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
Disjointed sets
-/
import data.set.lattice
import tactic.wlog
open set classical
open_locale classical
universes u v w x
variables {α : Type u} {β : Type v} {γ : Type ... |
00609d45c8f65ec1e7d1fc6356dc839ea6e542b4 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/casesUsing.lean | b5f070709d547ecf8b03925878e10dabc8a8f69d | [
"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 | 4,713 | lean | import Lean
open Lean
open Lean.Meta
open Lean.Elab.Tactic
universe u
axiom elimEx (motive : Nat → Nat → Sort u) (x y : Nat)
(diag : (a : Nat) → motive a a)
(upper : (delta a : Nat) → motive a (a + delta.succ))
(lower : (delta a : Nat) → motive (a + delta.succ) a)
: motive y x
theorem ex1 (p q : Nat) : p ≤ ... |
850214eb214c4f644ed937cee21abd38bf642257 | 618003631150032a5676f229d13a079ac875ff77 | /src/tactic/omega/nat/dnf.lean | ba1b26ca7f32aa5e623b2420393f60d9af843715 | [
"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 | 4,950 | lean | /- Copyright (c) 2019 Seul Baek. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Seul Baek
DNF transformation. -/
import tactic.omega.clause
import tactic.omega.nat.form
namespace omega
namespace nat
open_locale omega.nat
@[simp] def dnf_core : preform → list clause
... |
dec7116f704df2a7ec13f0504697416327c3b576 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/algebra/group/ulift.lean | 49fff01eb444d87b8608d9410a486e2ac861295b | [] | no_license | AurelienSaue/Mathlib4_auto | f538cfd0980f65a6361eadea39e6fc639e9dae14 | 590df64109b08190abe22358fabc3eae000943f2 | refs/heads/master | 1,683,906,849,776 | 1,622,564,669,000 | 1,622,564,669,000 | 371,723,747 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,009 | 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.data.equiv.mul_add
import Mathlib.PostPort
universes u u_1 v
namespace Mathlib
/-!
# `u... |
3dfa08eae8a164af292cc22d8373e1196d10a552 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/analysis/calculus/extend_deriv.lean | 62f9065ef2309219a3c27d256bbfbb986ff3892f | [
"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 | 11,570 | lean | /-
Copyright (c) 2019 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import analysis.calculus.mean_value
/-!
# Extending differentiability to the boundary
We investigate how differentiable functions inside a set extend to diffe... |
e1b7a32d72df9fca1381b281f9cf60295a908995 | 36c7a18fd72e5b57229bd8ba36493daf536a19ce | /tests/lean/run/blast_cc11.lean | d71a01c77c03dc739f23b3a06e9fd703e4d4d0fe | [
"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 | 876 | lean | import data.list
set_option blast.subst false
set_option blast.simp false
definition t1 (a b : nat) : (a = b) ↔ (b = a) :=
by blast
print t1
definition t2 (a b : nat) : (a = b) = (b = a) :=
by blast
print t2
definition t3 (a b : nat) : (a = b) == (b = a) :=
by blast
print t3
open perm
definition t4 (a b : list... |
1f218dda705ddd1f84a50aaef75e9ba22729d93a | a0e23cfdd129a671bf3154ee1a8a3a72bf4c7940 | /tests/lean/interactive/plainTermGoal.lean | c8e92d29240dd43eef726aa68dd174c266466234 | [
"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 | 873 | lean |
example : 0 < 2 :=
Nat.ltTrans Nat.zeroLtOne (Nat.ltSuccSelf _)
--^ $/lean/plainTermGoal
--^ $/lean/plainTermGoal
--^ $/lean/plainTermGoal
--^ $/lean/plainTermGoal
--^ $/lean/plainTermGoal
example : OptionM Unit... |
4ec9fa5126d71f7295fc9b6d7bdc93dfb6082b37 | 947fa6c38e48771ae886239b4edce6db6e18d0fb | /src/algebraic_geometry/gluing.lean | 9fc37f88a00ca312ca7bf5a4fded05743a34c127 | [
"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 | 17,336 | 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 algebraic_geometry.presheafed_space.gluing
/-!
# Gluing Schemes
Given a family of gluing data of schemes, we may glue them together.
## Main definitions
* `algeb... |
019a8adfd1fdad89a0bb7e00dbd4f801babc978a | 94e33a31faa76775069b071adea97e86e218a8ee | /src/field_theory/abel_ruffini.lean | aa9ee0ae382e9b75e4197b442f41b21c8c061e50 | [
"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 | 17,339 | lean | /-
Copyright (c) 2020 Thomas Browning and Patrick Lutz. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Thomas Browning, Patrick Lutz
-/
import group_theory.solvable
import field_theory.polynomial_galois_group
import ring_theory.roots_of_unity
/-!
# The Abel-Ruffini T... |
17b93b58342db68e0f6a765df37fdae6fc25be26 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/1058.lean | 6bc0b6b1ae48f4f74d9476a86d4032db60781c51 | [
"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 | 128 | lean | example : List (Unit -> Nat) :=
let g := [by exact fun _ => 0]; g
example : List (Unit -> Nat) :=
let g := [fun _ => 0]; g
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.