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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1f1bcb14d518e6f50953be14e30e22e864d2a7ee | 4727251e0cd73359b15b664c3170e5d754078599 | /src/data/polynomial/iterated_deriv.lean | 2ec5217cc9e8341442859957b955e43a32014629 | [
"Apache-2.0"
] | permissive | Vierkantor/mathlib | 0ea59ac32a3a43c93c44d70f441c4ee810ccceca | 83bc3b9ce9b13910b57bda6b56222495ebd31c2f | refs/heads/master | 1,658,323,012,449 | 1,652,256,003,000 | 1,652,256,003,000 | 209,296,341 | 0 | 1 | Apache-2.0 | 1,568,807,655,000 | 1,568,807,655,000 | null | UTF-8 | Lean | false | false | 7,816 | lean | /-
Copyright (c) 2020 Jujian Zhang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jujian Zhang
-/
import data.nat.interval
import data.polynomial.derivative
import tactic.linarith
/-!
# Theory of iterated derivative
We define and prove some lemmas about iterated (fo... |
d1b1c7242d1d0937afe9a0b064e414340baa32ec | 531456391187e1b7678c24ddaf3d6470b4dba971 | /library/init/meta/expr.lean | 870f25275929c6bd55a82889c0c354a8a02826b6 | [
"Apache-2.0"
] | permissive | tigerneil/lean | 7e4834cb9b03027c0e3ba42efd8c1a4f52389c9c | 8f31cff99bca2c5dd7fcd425de1ff1cb8e4e150a | refs/heads/master | 1,606,890,672,381 | 1,499,580,201,000 | 1,499,580,305,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 13,243 | 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.level init.category.monad init.meta.rb_map
universes u v
structure pos :=
(line : nat)
(column : nat)
instance : decidable_eq p... |
c51edf689adb0449f273ac369bf7757f288f42d0 | d1a52c3f208fa42c41df8278c3d280f075eb020c | /tests/lean/run/elabCmd.lean | 6e35a70017e40d7137e89f8acd4334e7264b55f2 | [
"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 | 671 | lean | import Lean
open Lean
open Lean.Elab
open Lean.Elab.Term
def getCtors (c : Name) : TermElabM (List Name) := do
let env ← getEnv;
(match env.find? c with
| some (ConstantInfo.inductInfo val) =>
pure val.ctors
| _ => pure [])
def elabAnonCtor (args : Array Syntax) (τ : Expr) : TermElabM Expr :=
match τ.getAppFn w... |
9186cfd4b354e3df199845a4a8e5f1ce7462a044 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/measure_theory/measure/haar/quotient.lean | 5bd1067dbc4e5b7eb79ad367ec02b88d79d6e7a6 | [
"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 | 18,289 | lean | /-
Copyright (c) 2022 Alex Kontorovich and Heather Macbeth. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Alex Kontorovich, Heather Macbeth
-/
import measure_theory.measure.haar.basic
import measure_theory.group.fundamental_domain
import algebra.group.opposite
/-!
#... |
610930535f246c156dfa582df57a19b5b4b1fa67 | 1169362316cbb36a5f4ae286e8419e4e5163f569 | /src/syntax.lean | 689326cb56b6ce69d3f5e86f806c8870b8e413e4 | [] | no_license | fpvandoorn/formal_logic | 21687f7e621fdd9124a06a5b3a5a9c5a6ae40cc6 | adbe6d70399310842525ff05ff97e29f30dd4282 | refs/heads/master | 1,585,666,688,414 | 1,539,046,655,000 | 1,539,046,655,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 23,821 | lean | /-
Copyright (c) 2018 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad
The syntax of simple type theory, i.e. inductive definitions of types and terms.
Notes:
When it comes to basic types, type constructors, and constants, we distinguish b... |
5e541a0a24d3c9bd64430e7dbda4fd7f9ba2ced7 | 9ee042bf34eebe0464f0f80c0db14ceb048dab10 | /stage0/src/Lean/Elab/Declaration.lean | 43845e5217d3dd5780a61012c3973c40f9379122 | [
"Apache-2.0"
] | permissive | dexmagic/lean4 | 7507e7b07dc9f49db45df5ebd011886367dc2a6c | 48764b60d5bac337eaff4bf8a3d63a216e1d9e03 | refs/heads/master | 1,692,156,265,016 | 1,633,276,980,000 | 1,633,339,480,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 13,615 | 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... |
e7118a9233d0327e02e94feaf7e3c8f03300d113 | ac89c256db07448984849346288e0eeffe8b20d0 | /src/Lean/Meta/LevelDefEq.lean | cf8a6dbd691ec76d493e213e8a2afd04a1f03e99 | [
"Apache-2.0"
] | permissive | chepinzhang/lean4 | 002cc667f35417a418f0ebc9cb4a44559bb0ccac | 24fe2875c68549b5481f07c57eab4ad4a0ae5305 | refs/heads/master | 1,688,942,838,326 | 1,628,801,942,000 | 1,628,801,995,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 11,378 | 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.Util.CollectMVars
import Lean.Util.ReplaceExpr
import Lean.Meta.Basic
import Lean.Meta.InferType
namespace Lean.Meta
private partial def decAu... |
a9a4b53163d51524f2e93fe875a0373323ad9755 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/playground/DiscrTree.lean | 6eb3309feac49dcaf6f4d51f6ed4a22b31a21199 | [
"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 | 9,342 | lean | import Lean.Format
open Lean
def List.insert {α} [BEq α] (as : List α) (a : α) : List α :=
if as.contains a then as else a::as
inductive Term
| var : Nat → Term
| app : String → Array Term → Term
instance : Inhabited Term := ⟨Term.var 0⟩
inductive Key
| var : Key
| sym : String → Nat → Key
instance : Inhabited Key... |
24ff88e09ef54ad8bdb7239749a6f9fd722e08c5 | e953c38599905267210b87fb5d82dcc3e52a4214 | /hott/types/prod.hlean | 7d6cb44442a8cfbd0dc9f2e524babd88cdb37742 | [
"Apache-2.0"
] | permissive | c-cube/lean | 563c1020bff98441c4f8ba60111fef6f6b46e31b | 0fb52a9a139f720be418dafac35104468e293b66 | refs/heads/master | 1,610,753,294,113 | 1,440,451,356,000 | 1,440,499,588,000 | 41,748,334 | 0 | 0 | null | 1,441,122,656,000 | 1,441,122,656,000 | null | UTF-8 | Lean | false | false | 6,821 | hlean | /-
Copyright (c) 2014 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Floris van Doorn
Ported from Coq HoTT
Theorems about products
-/
open eq equiv is_equiv is_trunc prod prod.ops unit equiv.ops
variables {A A' B B' C D : Type}
{a a' a'' :... |
b4b18528f761ce1131cdcbc9feb6df4487d9a6fa | 31f556cdeb9239ffc2fad8f905e33987ff4feab9 | /stage0/src/Lean/Util/CollectLevelParams.lean | 82ae8170fbc43047c85d54872d3350eb495a7b66 | [
"Apache-2.0",
"LLVM-exception",
"NCSA",
"LGPL-3.0-only",
"LicenseRef-scancode-inner-net-2.0",
"BSD-3-Clause",
"LGPL-2.0-or-later",
"Spencer-94",
"LGPL-2.1-or-later",
"HPND",
"LicenseRef-scancode-pcre",
"ISC",
"LGPL-2.1-only",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | tobiasgrosser/lean4 | ce0fd9cca0feba1100656679bf41f0bffdbabb71 | ebdbdc10436a4d9d6b66acf78aae7a23f5bd073f | refs/heads/master | 1,673,103,412,948 | 1,664,930,501,000 | 1,664,930,501,000 | 186,870,185 | 0 | 0 | Apache-2.0 | 1,665,129,237,000 | 1,557,939,901,000 | Lean | UTF-8 | Lean | false | false | 2,213 | 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.Expr
namespace Lean
namespace CollectLevelParams
structure State where
visitedLevel : LevelSet := {}
visitedExpr : ExprSet := {}
... |
57c2fe4cf0bc9f584cdc461a5d0b33b412a0be21 | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /tests/lean/run/dsimp_at1.lean | 7cb34d792692571f57aa07bd50e0f0e3554b68f7 | [
"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 | 315 | lean | open tactic
constants (A : Type.{1}) (x y : A)
noncomputable definition f (z : A) : A := z
attribute [defeq]
definition f.def (z:A) : f z = z := rfl
definition foo (z₁ z₂ : A) : f z₁ = f z₂ → z₁ = z₂ :=
by do H ← intro `H,
trace_state,
dsimp_at H,
trace_state,
assumption
|
2c7b770e8884a6a7b93c39582b6739f246919159 | c777c32c8e484e195053731103c5e52af26a25d1 | /src/ring_theory/ring_hom/integral.lean | 09c56649a254985de9b3ee30203caa9ea97ae6b7 | [
"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 | 1,177 | lean | /-
Copyright (c) 2021 Andrew Yang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Andrew Yang
-/
import ring_theory.ring_hom_properties
/-!
# The meta properties of integral ring homomorphisms.
-/
namespace ring_hom
open_locale tensor_product
open tensor_product ... |
65ffd2ca7993b6c7e172fe8ebf64f3b908fbba49 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/analysis/convex/extreme.lean | cde58f3eb43ff2b0c4bd43b9fd7b098090c78f76 | [
"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 | 9,570 | lean | /-
Copyright (c) 2021 Yaël Dillies, Bhavik Mehta. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yaël Dillies, Bhavik Mehta
-/
import analysis.convex.hull
/-!
# Extreme sets
This file defines extreme sets and extreme points for sets in a module.
An extreme set of `A... |
34bd7446e7b165737d82b2dd7eb80c0285ae786d | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/ring_theory/localization/integer.lean | 65928aeded7b10b3951cd0f9cd8adf6fe8b1cf80 | [
"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 | 5,501 | lean | /-
Copyright (c) 2018 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau, Mario Carneiro, Johan Commelin, Amelia Livingston, Anne Baanen
-/
import ring_theory.localization.basic
/-!
# Integer elements of a localization
> THIS FILE IS SYNCHRONIZED WIT... |
a7c7bf63d02bc0c9d6dc7c17db1eddac400a9b10 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/tactic/omega/misc.lean | 2931b7282e1eb79ed7eaa8a72f7ee2b71fd36163 | [
"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 | 2,161 | lean | /-
Copyright (c) 2019 Seul Baek. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Seul Baek
-/
/-
Miscellaneous.
-/
import tactic.localized
variables {α β γ : Type}
namespace omega
lemma fun_mono_2 {p : α → β → γ} {a1 a2 : α} {b1 b2 : β} :
a1 = a2 → b1 = b2 → (p a... |
e831bf04493240f4a6ce6b17c00a5632030e586a | 69d4931b605e11ca61881fc4f66db50a0a875e39 | /src/algebra/group/pi.lean | 67837111d62309d76b6dc6e81fe52e3def805e3c | [
"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 | 9,137 | lean | /-
Copyright (c) 2018 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon, Patrick Massot
-/
import data.pi
import data.set.function
import tactic.pi_instances
import algebra.group.hom_instances
/-!
# Pi instances for groups and monoids
This file ... |
e73585b3f4c5c50ed833533d911e7569b59b545d | 94637389e03c919023691dcd05bd4411b1034aa5 | /src/zzz_junk/04_type_library/04_box.lean | 317fe49f05ece31f7a0a65f55d0feda345abca0e | [] | no_license | kevinsullivan/complogic-s21 | 7c4eef2105abad899e46502270d9829d913e8afc | 99039501b770248c8ceb39890be5dfe129dc1082 | refs/heads/master | 1,682,985,669,944 | 1,621,126,241,000 | 1,621,126,241,000 | 335,706,272 | 0 | 38 | null | 1,618,325,669,000 | 1,612,374,118,000 | Lean | UTF-8 | Lean | false | false | 410 | lean | namespace hidden
/-
This polymorpmic box type allows
one to enclose/wrap a value of any
ordinary computational type (of type,
Type) "in" a box structure. Using
"structure" to define this type as
specified here provide a projection
function with the same name, val, as
the field who value it projects
(i.e., accesses an... |
bf939b2e25ec2578e1b985240db157ff8a0afc66 | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /hott/types/num.hlean | dc7b8b10ac85a355931a3c0bacfd4810fe2edf0f | [
"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 | 17,884 | hlean | /-
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 types.bool tools.helper_tactics
open bool eq eq.ops decidable helper_tactics
namespace pos_num
theorem succ_not_is_one (a : pos_num) : is_one (succ... |
d28f21985a22b78d2c9a455fa50fdcf5f7ae1b18 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/field_theory/is_alg_closed/classification.lean | 77d72392bc026fe07a19e9588eb6329cd4a0956f | [
"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 | 8,669 | lean | /-
Copyright (c) 2022 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes
-/
import ring_theory.algebraic_independent
import field_theory.is_alg_closed.basic
import data.polynomial.cardinal
import data.mv_polynomial.cardinal
import data.zmod.algeb... |
e3ff7e3e1c36281918376aa6601498580e1f26e8 | aa5a655c05e5359a70646b7154e7cac59f0b4132 | /stage0/src/Init/Data/Nat/Div.lean | 6aaeca4fb3274e96aba50d4fad7cbd969cab7238 | [
"Apache-2.0"
] | permissive | lambdaxymox/lean4 | ae943c960a42247e06eff25c35338268d07454cb | 278d47c77270664ef29715faab467feac8a0f446 | refs/heads/master | 1,677,891,867,340 | 1,612,500,005,000 | 1,612,500,005,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,185 | lean | /-
Copyright (c) 2016 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
prelude
import Init.WF
import Init.Data.Nat.Basic
namespace Nat
private def divRecLemma {x y : Nat} : 0 < y ∧ y ≤ x → x - y < x :=
fun ⟨ypos, ylex⟩ => su... |
2d7a8239312210a20f0366289000166c409fe288 | 75c54c8946bb4203e0aaf196f918424a17b0de99 | /src/zfc_expanded.lean | 446a2b11ea14af0ca94b76849eb271bb2affb36f | [
"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 | 14,780 | 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 .fol
open fol
namespace zfc
inductive ZFC_rel : ℕ → Type
| ϵ : ZFC_rel 2
def L_ZFC : Language :=
⟨λ_, empty, ZFC_rel⟩
def ZFC_el : L_... |
1933d382a824041bb26e0d84ad6f29eb23177925 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/ematch_partial_apps.lean | 9c3b6bf7cd407a1867922e1f7231fa4dd92921d3 | [
"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 | 778 | lean | open tactic
set_option trace.smt.ematch true
example (a : list nat) (f : nat → nat) : a = [1, 2] → a^.map f = [f 1, f 2] :=
begin [smt]
intros,
ematch_using [list.map],
ematch_using [list.map],
ematch_using [list.map]
end
example (a : list nat) (f : nat → nat) : a = [1, 2] → a^.map f = [f 1, f 2] :=
begin [s... |
49e60a953294858626c3f9e2b8b96426bc5e73bd | ee8cdbabf07f77e7be63a449b8483ce308d37218 | /lean/src/valid/mathd-algebra-11.lean | 69b973b2dd006c3d0fe7267579488ab84ad598fe | [
"MIT",
"Apache-2.0"
] | permissive | zeta1999/miniF2F | 6d66c75d1c18152e224d07d5eed57624f731d4b7 | c1ba9629559c5273c92ec226894baa0c1ce27861 | refs/heads/main | 1,681,897,460,642 | 1,620,646,361,000 | 1,620,646,361,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 558 | lean | /-
Copyright (c) 2021 OpenAI. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kunhao Zheng
-/
import data.real.basic
example (a b : ℝ) (h₀ : a ≠ b) (h₁ : a ≠ 2*b) (h₂ : ( 4 * a + 3 * b ) / ( a - 2 * b ) = 5) : ( a + 11 * b ) / ( a - b ) = 2 :=
begin
rw eq_comm,
ref... |
22e8794ec089e65da5160e4a22af52760fc318d1 | 8eeb99d0fdf8125f5d39a0ce8631653f588ee817 | /src/ring_theory/power_series.lean | cdc1df3cf16a1458071bb9e20dda0480f89ff32d | [
"Apache-2.0"
] | permissive | jesse-michael-han/mathlib | a15c58378846011b003669354cbab7062b893cfe | fa6312e4dc971985e6b7708d99a5bc3062485c89 | refs/heads/master | 1,625,200,760,912 | 1,602,081,753,000 | 1,602,081,753,000 | 181,787,230 | 0 | 0 | null | 1,555,460,682,000 | 1,555,460,682,000 | null | UTF-8 | Lean | false | false | 57,892 | lean | /-
Copyright (c) 2019 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin, Kenny Lau
-/
import data.mv_polynomial
import ring_theory.ideal.operations
import ring_theory.multiplicity
import tactic.linarith
/-!
# Formal power series
This file ... |
b54193e727ad8e326c35cf3c4f360f311e852e8a | 0d9b0a832bc57849732c5bd008a7a142f7e49656 | /src/boxint.lean | 88e95e137b92e78b8c16be2918d0e8358edc6e05 | [] | no_license | mirefek/sokoban.lean | bb9414af67894e4d8ce75f8c8d7031df02d371d0 | 451c92308afb4d3f8e566594b9751286f93b899b | refs/heads/master | 1,681,025,245,267 | 1,618,997,832,000 | 1,618,997,832,000 | 359,491,681 | 10 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 13,554 | lean | import tactic
import .direction
import .list2d
import .boolset2d
import .component2d
import .sokostate
structure boxint :=
(subboxes : bset2d)
(supboxes : bset2d)
(sk_comp : bset2d)
structure boxint.valid (avail : bset2d) (as : boxint) : Prop :=
(sub_sup : as.subboxes ⊆ as.supboxes)
(sup_avail : as.supboxes ⊆ avail)... |
c8074ea4c1881803689c62edcfcbd4b63c2c96ad | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /hott/init/hedberg.hlean | 77a830c67107f03a5b784bf12a144f2f109e6408 | [
"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 | 1,508 | hlean | /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura
Hedberg's Theorem: every type with decidable equality is a set
-/
prelude
import init.trunc
open eq eq.ops nat is_trunc sigma
-- TODO(Leo): move const coll ... |
5c229cc29a810407367a867e6d6a25ad264a44bc | 1a9d3677cccdaaccacb163507570e75d34043a38 | /src/week_4/Part_C_topology.lean | 1d999dee2919a91a392250f82962bd308aca6df2 | [
"Apache-2.0"
] | permissive | alreadydone/formalising-mathematics | 687d386a72065795e784e270f5c05ea3948b67dd | 65869362cd7a2ac74dd1a97c7f9471835726570b | refs/heads/master | 1,680,260,936,332 | 1,616,563,371,000 | 1,616,563,371,000 | 348,780,769 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 7,238 | lean | import topology.subset_properties -- compactness of subsets of top spaces
/-!
# Topology, the traditional way
Let's do some topology! In this file we prove that
* the continuous image of a compact space is compact;
* A closed subset of a compact space is compact.
## Details
In fact we do a little more than this (... |
49c413227bf0bee30177e979e5313ac471916570 | 35677d2df3f081738fa6b08138e03ee36bc33cad | /src/algebra/char_p.lean | cd4cf2165c95085499b19698ba2bf399fa46ee1f | [
"Apache-2.0"
] | permissive | gebner/mathlib | eab0150cc4f79ec45d2016a8c21750244a2e7ff0 | cc6a6edc397c55118df62831e23bfbd6e6c6b4ab | refs/heads/master | 1,625,574,853,976 | 1,586,712,827,000 | 1,586,712,827,000 | 99,101,412 | 1 | 0 | Apache-2.0 | 1,586,716,389,000 | 1,501,667,958,000 | Lean | UTF-8 | Lean | false | false | 9,111 | lean | /-
Copyright (c) 2018 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Kenny Lau, Joey van Langen, Casper Putz
Characteristic of semirings.
-/
import data.padics.padic_norm data.nat.choose data.fintype.basic
import data.zmod.basic algebra.module
universes u ... |
902895269331a1bb928701db3bf5ede32c5b6fe1 | 55c7fc2bf55d496ace18cd6f3376e12bb14c8cc5 | /test/tactics.lean | d4787354e8dae018c7031281bda8dd1cfcbadbff | [
"Apache-2.0"
] | permissive | dupuisf/mathlib | 62de4ec6544bf3b79086afd27b6529acfaf2c1bb | 8582b06b0a5d06c33ee07d0bdf7c646cae22cf36 | refs/heads/master | 1,669,494,854,016 | 1,595,692,409,000 | 1,595,692,409,000 | 272,046,630 | 0 | 0 | Apache-2.0 | 1,592,066,143,000 | 1,592,066,142,000 | null | UTF-8 | Lean | false | false | 15,798 | lean | /-
Copyright (c) 2018 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon, Scott Morrison
-/
import tactic.interactive
import tactic.finish
import tactic.ext
import tactic.lift
import tactic.apply
import tactic.reassoc_axiom
import tactic.tfae
impo... |
6254658d1bd3ef53a124f04f898850fe1dea08bf | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/topology/algebra/infinite_sum.lean | 6f2fb74a4c4777365dadc57541c188829696b19f | [
"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 | 40,313 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
-/
import algebra.big_operators.intervals
import topology.instances.real
import data.indicator_function
import data.equiv.encodable.lattice
import order.filter.at_top_bo... |
b60e1501d5cd9a5c3fa7ac03581d4df1e1feefdd | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/category_theory/limits/constructions/epi_mono_auto.lean | 52210f19ebd41fce2fb214d8c3521bb18b731ad6 | [] | 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 | 1,314 | lean | /-
Copyright (c) 2021 Bhavik Mehta. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Bhavik Mehta
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.category_theory.limits.shapes.pullbacks
import Mathlib.category_theory.limits.shapes.binary_pro... |
9a19768b17279c9c7741b8bda02b3950fea936c8 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/topology/metric_space/completion.lean | 49f313ab15d248c2e9fbe61b39b7678904f46ba0 | [
"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 | 8,655 | 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.uniform_space.completion
import topology.metric_space.isometry
import topology.instances.real
/-!
# The completion of a metric space
Completio... |
a3fc34ec094af83cc3fd79df067a021c2f38b671 | 54b389c64167c70f046b08bae8e0de8b39b0bf4f | /problem147.lean | 3bed5005b1031b66218be386158c6135c667f0b0 | [] | no_license | Mercerenies/eulers-melting-pot | 4340b55b0c05f2cf8da2a80649971a26315cff18 | 1a2ea7e8ed33f8c027e08207852b50d6f2767a2c | refs/heads/master | 1,693,602,792,233 | 1,692,838,742,000 | 1,692,838,742,000 | 62,594,871 | 11 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,521 | lean |
import data.nat.basic
import algebra.parity
variables {α : Type*}
def clamp [linear_order α] (x a b: α): α :=
linear_order.min (linear_order.max x a) b
def sum_zero_up_to [has_zero α] [has_add α] (limit: nat) (f: nat → α): α :=
nat.rec 0 (λ n acc, f n + acc) limit
-- Note: We re-order some terms from the Rust ... |
e6127032e320c3318c58aa77a4e7b2383cbffda8 | e61a235b8468b03aee0120bf26ec615c045005d2 | /src/Init/Lean/Util/CollectMVars.lean | b9c6211a69b2cfb7eaf7ebb7f19669fb47542722 | [
"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 | 1,215 | lean | /-
Copyright (c) 2020 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
prelude
import Init.Lean.Expr
namespace Lean
namespace CollectMVars
structure State :=
(visitedExpr : ExprSet := {})
(result : Array MVarId :... |
325d469d4e2f697089cf5d1544ec80471137ec61 | a45212b1526d532e6e83c44ddca6a05795113ddc | /src/topology/algebra/monoid.lean | 370d25e7453145fa47b1ea059db304ed452c7d4b | [
"Apache-2.0"
] | permissive | fpvandoorn/mathlib | b21ab4068db079cbb8590b58fda9cc4bc1f35df4 | b3433a51ea8bc07c4159c1073838fc0ee9b8f227 | refs/heads/master | 1,624,791,089,608 | 1,556,715,231,000 | 1,556,715,231,000 | 165,722,980 | 5 | 0 | Apache-2.0 | 1,552,657,455,000 | 1,547,494,646,000 | Lean | UTF-8 | Lean | false | false | 5,143 | 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 monoids.
TODO: generalize `topological_monoid` and `topological_add_monoid` to semigroups, or add a type class
`topological_opera... |
9fabb900271cce2cc13151ae6fda3aa5d39af271 | 52b9f0379b3b0200088f3b2ec594d4dd3d3e6128 | /factor.lean | 5ae20a8c81cc06bc67f582a6b7ebb05096835d15 | [] | no_license | minchaowu/mathematica_examples | f83fdf092a136f157dde8119b8a75c2cd4d91aae | fcc65b0b9fcb854f8671c0ebbca77bb3c1a9ecc1 | refs/heads/master | 1,610,729,580,720 | 1,498,331,049,000 | 1,498,331,049,000 | 99,731,631 | 0 | 0 | null | 1,502,222,706,000 | 1,502,222,706,000 | null | UTF-8 | Lean | false | false | 1,265 | lean | /-
Copyright (c) 2017 Robert Y. Lewis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Robert Y. Lewis
-/
import init.meta.mathematica datatypes
open expr tactic nat
local attribute [simp] left_distrib right_distrib
open mmexpr nat
-- this will be unnecessary when t... |
bbab8cd97b9bb8b26b374245ec0d1b3f3c76181f | 80cc5bf14c8ea85ff340d1d747a127dcadeb966f | /src/category_theory/opposites.lean | e86d5ec02bcc0938b366f3c6e995be21db5c6131 | [
"Apache-2.0"
] | permissive | lacker/mathlib | f2439c743c4f8eb413ec589430c82d0f73b2d539 | ddf7563ac69d42cfa4a1bfe41db1fed521bd795f | refs/heads/master | 1,671,948,326,773 | 1,601,479,268,000 | 1,601,479,268,000 | 298,686,743 | 0 | 0 | Apache-2.0 | 1,601,070,794,000 | 1,601,070,794,000 | null | UTF-8 | Lean | false | false | 10,060 | lean | /-
Copyright (c) 2017 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Stephen Morgan, Scott Morrison
-/
import category_theory.types
import category_theory.equivalence
import data.opposite
universes v₁ v₂ u₁ u₂ -- declare the `v`'s first; see `category_... |
8834ea8e8b46afea80890b8d7cf595505949a9f6 | 3bdd27ffdff3ffa22d4bb010eba695afcc96bc4a | /src/combinatorics/simplicial_complex/star.lean | 661b2de3a83692b783423074bb32c4a5a483d536 | [] | no_license | mmasdeu/brouwerfixedpoint | 684d712c982c6a8b258b4e2c6b2eab923f2f1289 | 548270f79ecf12d7e20a256806ccb9fcf57b87e2 | refs/heads/main | 1,690,539,793,996 | 1,631,801,831,000 | 1,631,801,831,000 | 368,139,809 | 4 | 3 | null | 1,624,453,250,000 | 1,621,246,034,000 | Lean | UTF-8 | Lean | false | false | 5,587 | lean | /-
Copyright (c) 2021 Yaël Dillies, Bhavik Mehta. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yaël Dillies, Bhavik Mehta
-/
import combinatorics.simplicial_complex.basic
import combinatorics.simplicial_complex.closure
namespace affine
open set
variables {m n : ℕ} {... |
be97e2d003715bc75be0a79c9c3cc281c911c32f | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/linear_algebra/quadratic_form/isometry.lean | 7c97543e99937c4b164783f18f52d34bb7faa03e | [
"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 | 5,647 | lean | /-
Copyright (c) 2020 Anne Baanen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kexing Ying, Eric Wieser
-/
import linear_algebra.quadratic_form.basic
/-!
# Isometries with respect to quadratic forms
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this... |
de87a7359f992ae956f64f05f8341a010ce739de | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/data/set/prod.lean | 90f2736c294bca3ee5950211e4a78fe248d1a7c3 | [
"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 | 27,517 | lean | /-
Copyright (c) 2017 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Johannes Hölzl, Patrick Massot
-/
import data.set.image
/-!
# Sets in product and pi types
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file requi... |
86bceedaaa2610c64d294f6b041200788fc0dbd0 | 57aec6ee746bc7e3a3dd5e767e53bd95beb82f6d | /stage0/src/Lean/Meta/Tactic/Cases.lean | ad2ba19a4713e41e1df8b36b8040405b7204f85b | [
"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 | 14,855 | 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.AppBuilder
import Lean.Meta.Tactic.Induction
import Lean.Meta.Tactic.Injection
import Lean.Meta.Tactic.Assert
import Lean.Meta.Tactic.Subst... |
efe15d7071787fabe4d5f76a73c599c3583d7ee8 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/category_theory/triangulated/pretriangulated.lean | 74477154a1df68cd4175a3356d9733e494845905 | [
"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 | 8,579 | lean | /-
Copyright (c) 2021 Luke Kershaw. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Luke Kershaw
-/
import category_theory.additive.basic
import category_theory.shift
import category_theory.preadditive.additive_functor
import category_theory.triangulated.rotate
/-!
# P... |
d4d961dd84dbf88e9e512f8f2683e09625f63e99 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/casePrime.lean | f0cb4335ec3c08fcd990db1f532688b5fd0c13d9 | [
"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 | 443 | lean | example (hp : p) (hq : p → q) (hr : p → r) : (s ∨ q) ∧ (r ∨ s) := by
constructor
case' left => apply Or.inr
case' right => apply Or.inl
case' left => apply hq
case' right => apply hr
all_goals assumption
example (hp : p) (hq : p → q) (hr : p → r) : (p ∧ q) ∧ (r ∧ p) := by
constructor
case' left | rig... |
f95fe1efa191a89a78df9d2831c33ac319598768 | 2eab05920d6eeb06665e1a6df77b3157354316ad | /src/algebra/field_power.lean | cb94312989cac60b4c57e66ab85274b02b4caece | [
"Apache-2.0"
] | permissive | ayush1801/mathlib | 78949b9f789f488148142221606bf15c02b960d2 | ce164e28f262acbb3de6281b3b03660a9f744e3c | refs/heads/master | 1,692,886,907,941 | 1,635,270,866,000 | 1,635,270,866,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 8,711 | 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 algebra.group_with_zero.power
import tactic.linarith
import data.equiv.ring
/-!
# Integer power operation on fields and division rings
This file collects b... |
0eef5207e3e7a12625cac0e941039f365047e964 | f47872278edfa65030d6cd0604480581b09ae4b5 | /src/extra.lean | 52e794b9eb54755b544a64aa0b44b54cb3702bb3 | [
"MIT"
] | permissive | ocornoc/geodude | c822c494d9ed5d6dd2efa434cbaa5e0e42c22691 | e63c87db67f1686c902e9bcd1863e74e1a29457f | refs/heads/master | 1,681,951,483,388 | 1,620,592,363,000 | 1,620,595,412,000 | 287,442,904 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 41 | lean | -- This page is intentionally left blank. |
ae943d97ef065905ef27fb0db0badfdea7756dd9 | 82e44445c70db0f03e30d7be725775f122d72f3e | /src/data/bundle.lean | 7eaad1912e26db22e0b32fbb2c051f588b6c3c33 | [
"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 | 2,978 | lean | /-
Copyright © 2021 Nicolò Cavalleri. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Nicolò Cavalleri
-/
import tactic.basic
import algebra.module.basic
/-!
# Bundle
Basic data structure to implement fiber bundles, vector bundles (maybe fibrations?), etc. This file
s... |
cfb68ef5ab03cb0f720af9f87e68bb3fb95ac12e | d9d511f37a523cd7659d6f573f990e2a0af93c6f | /src/data/nat/basic.lean | e1429e1aeddd37964714a9e77f84e611ee787724 | [
"Apache-2.0"
] | permissive | hikari0108/mathlib | b7ea2b7350497ab1a0b87a09d093ecc025a50dfa | a9e7d333b0cfd45f13a20f7b96b7d52e19fa2901 | refs/heads/master | 1,690,483,608,260 | 1,631,541,580,000 | 1,631,541,580,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 59,857 | lean | /-
Copyright (c) 2014 Floris van Doorn (c) 2016 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn, Leonardo de Moura, Jeremy Avigad, Mario Carneiro
-/
import algebra.ordered_ring
import algebra.ordered_sub
/-!
# Basic operations on... |
ef3c449dbb43e82b207afe4f48043a3f643e9f50 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/mathlibetaissue.lean | 978d143b4c8d7919d96033e392d1418f48e2db3d | [
"Apache-2.0",
"LLVM-exception",
"NCSA",
"LGPL-3.0-only",
"LicenseRef-scancode-inner-net-2.0",
"BSD-3-Clause",
"LGPL-2.0-or-later",
"Spencer-94",
"LGPL-2.1-or-later",
"HPND",
"LicenseRef-scancode-pcre",
"ISC",
"LGPL-2.1-only",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | leanprover/lean4 | 4bdf9790294964627eb9be79f5e8f6157780b4cc | f1f9dc0f2f531af3312398999d8b8303fa5f096b | refs/heads/master | 1,693,360,665,786 | 1,693,350,868,000 | 1,693,350,868,000 | 129,571,436 | 2,827 | 311 | Apache-2.0 | 1,694,716,156,000 | 1,523,760,560,000 | Lean | UTF-8 | Lean | false | false | 5,941 | lean | /-!
# An etaExperiment timeout
The purpose of this file is to demonstrate a typeclass search that
* times out with `etaExperiment`
* is fast on `lean-toolchain` `gebner/lean4:reenableeta230506`
* is realistic, i.e. is a minimisation of something appearing in mathlib.
I've taken the example Matthew Ballard showed me:
... |
1e61602f2ed9a8108f4dfed2afabc7e47f135c4e | d7189ea2ef694124821b033e533f18905b5e87ef | /galois/subtype.lean | 7adb787c7f81ed4bf43bf9c0226543d7aa61879c | [
"Apache-2.0"
] | permissive | digama0/lean-protocol-support | eaa7e6f8b8e0d5bbfff1f7f52bfb79a3b11b0f59 | cabfa3abedbdd6fdca6e2da6fbbf91a13ed48dda | refs/heads/master | 1,625,421,450,627 | 1,506,035,462,000 | 1,506,035,462,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 342 | lean | /- This defines subtype lemmas -/
universe variable u
namespace subtype
variable {α : Type u}
variable {P : α → Prop}
@[simp]
theorem mk_eq_mk (x : α) (p : P x) (y : α) (q : P y) : mk x p = mk y q ↔ x = y :=
begin
apply iff.intro,
{
intro g,
injection g with h
},
{
intro p,
simp [p],
}
end... |
ba8d44eccbd74358aa8a58c44e8274acde799bb7 | e61a235b8468b03aee0120bf26ec615c045005d2 | /stage0/src/Init/Lean/Meta/Tactic/Cases.lean | fb37d6eb2f452ff2779e592abd0534ff07561e70 | [
"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 | 11,311 | lean | /-
Copyright (c) 2020 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
prelude
import Init.Lean.Meta.AppBuilder
import Init.Lean.Meta.Tactic.Induction
import Init.Lean.Meta.Tactic.Injection
import Init.Lean.Meta.Tactic.Assert
i... |
dbfd0bbc88ad3ee4d7f2951b60cfcd3f91cc516a | 83bd63fd58ebbb33f769cbf6d6a67463ba1bc637 | /src/day_3/groups.lean | d9ec6d797a7cf1517a9183bf67e59a552e808677 | [] | no_license | Wornbard/mbl_lean_workshop | 6ebdafebac74f1b1148f67a528242a3687af17e1 | 6b68ce25fdc49043fd5ab409de8e4a2987def22e | refs/heads/main | 1,690,205,591,845 | 1,630,953,271,000 | 1,630,953,271,000 | 403,417,180 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 8,454 | lean | import tactic
namespace mbl
/-
# Groups
## Definition of a group
The `group` class will extend `has_mul`, `has_one` and `has_inv`.
`has_mul G` means that `G` has a multiplication `* : G → G → G`
`has_one G` means that `G` has a `1 : G`
`has_inv G` means that `G` has an `⁻¹ : G → G`
All of `*`, `1` and `⁻¹` are n... |
51e5a6b57525427170482d5e0ec5aa2094645d3b | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/topology/instances/add_circle.lean | 88ac997cbf3ebf93cda7b67cbb6906db6f0b30dc | [
"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 | 24,039 | lean | /-
Copyright (c) 2022 Oliver Nash. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Oliver Nash
-/
import data.nat.totient
import algebra.ring.add_aut
import group_theory.divisible
import group_theory.order_of_element
import algebra.order.floor
import algebra.order.to_in... |
594af493ccf56ff595dc9f6b8df8d9884205154d | b186c784450e8bcbcf835ab3f10fa7e73f27bc2e | /chapter_4.lean | 3f25ecd0bd560db721be60b21019b31218a7a3fe | [] | no_license | esclear/Learning-Lean | 9780a0efe769e275992cf3ab4ebf55809ec53b48 | d81d5c4743b94c96d8f1bb135e1f13a1d99b3154 | refs/heads/master | 1,593,312,896,806 | 1,565,904,243,000 | 1,565,904,243,000 | 200,125,941 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,501 | lean | open classical
variables (α : Type) (p q : α → Prop)
variable r : Prop
-- Exercise 1
example : (∀ x, p x ∧ q x) ↔ (∀ x, p x) ∧ (∀ x, q x) :=
iff.intro
(assume h : ∀ x, p x ∧ q x,
and.intro
(assume x,
(h x).left)
(assume x,
(h x).right))
(assume h : (∀ x, p x) ∧ (∀ x... |
6eb7359bfdffaba82e614fd5b79b824f4c0195ee | 302c785c90d40ad3d6be43d33bc6a558354cc2cf | /src/category_theory/action.lean | adb99c81d2c849bdcabcc66d583c45eaa8b3f4c8 | [
"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 | 3,195 | lean | /-
Copyright (c) 2020 David Wärn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: David Wärn
-/
import category_theory.elements
import category_theory.single_obj
import group_theory.group_action.basic
/-!
# Actions as functors and as categories
From a multiplicative a... |
38c4ed31e398c0db5b386688d0fab22cf5074fe5 | b3fced0f3ff82d577384fe81653e47df68bb2fa1 | /src/topology/algebra/module.lean | 87b55ce5bbcbb3afc3d6b41a1df9e16f154f09c7 | [
"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 | 9,731 | lean | /-
Copyright (c) 2019 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jan-David Salchow, Sébastien Gouëzel, Jean Lo
Theory of topological modules and continuous linear maps.
-/
import topology.algebra.ring linear_algebra.basic ring_theory.algebra
o... |
76c07cb3cd97a7e9c168090e931ebe17a2765b0b | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/Lean/Data/Name.lean | b97a9599695812caf211981473edd4636f71f5ca | [
"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 | 4,257 | lean | /-
Copyright (c) 2018 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura
-/
namespace Lean
instance : Coe String Name := ⟨Name.mkSimple⟩
namespace Name
-- Remark: we export the `Name.hash` to make sure it matches the hash implement... |
6c602d9eea7e366796bdb9ff9b2fb5f4b9f22856 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/category_theory/closed/monoidal.lean | 4982d2700a805f93bc387a3334784114f7a0d4f6 | [
"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 | 1,662 | 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 category_theory.monoidal.category
import category_theory.adjunction.basic
/-!
# Closed monoidal categories
Define (right) closed objects and (right) closed m... |
0deaadedc71b01c81043d0a28156597f07f4e53b | cc060cf567f81c404a13ee79bf21f2e720fa6db0 | /lean/20170201-universes-problem.lean | 4cb28e2b31f9b7f218e54343e2019009aeb13af1 | [
"Apache-2.0"
] | permissive | semorrison/proof | cf0a8c6957153bdb206fd5d5a762a75958a82bca | 5ee398aa239a379a431190edbb6022b1a0aa2c70 | refs/heads/master | 1,610,414,502,842 | 1,518,696,851,000 | 1,518,696,851,000 | 78,375,937 | 2 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 3,091 | lean | universe variables u v u1 u2 v1 v2
set_option pp.universes true
open smt_tactic
meta def blast : tactic unit := using_smt $ intros >> add_lemmas_from_facts >> repeat_at_most 3 ematch
notation `♮` := by blast
structure semigroup_morphism { α β : Type u } ( s : semigroup α ) ( t: semigroup β ) :=
(map: α → β)
(mul... |
e1f64b5a7230cb968072625ce50d336f7cc58826 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/lake/examples/hello/Hello.lean | 99415d9d9fc72e540b7fc4f2e1242b9cfd06814d | [
"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 | 21 | lean | def hello := "world"
|
bd207bda950ef37ec35235e2b354a84324ca7838 | 69d4931b605e11ca61881fc4f66db50a0a875e39 | /src/algebra/group/units.lean | c4b5ed6ce9f9278652057b9006552a9093e6e8a1 | [
"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 | 13,257 | lean | /-
Copyright (c) 2017 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau, Mario Carneiro, Johannes Hölzl, Chris Hughes, Jens Wagemaker
-/
import algebra.group.basic
import logic.nontrivial
/-!
# Units (i.e., invertible elements) of a multiplicative mo... |
46ae0b9f84670635b187d2db9c246e03dc2971ac | 8b9f17008684d796c8022dab552e42f0cb6fb347 | /library/logic/axioms/prop_complete.lean | 2c1f4a7d1c9b89d7d9565f6e3879ce153123ef7e | [
"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 | 1,869 | lean | /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Module: logic.axioms.classical
Author: Leonardo de Moura
-/
import logic.connectives logic.quantifiers logic.cast algebra.relation
import logic.axioms.em
open eq.ops
theorem prop_compl... |
6e9b75d5564a66865a21fe4dfe39025f55fe5666 | 097294e9b80f0d9893ac160b9c7219aa135b51b9 | /instructor/predicate_logic/rules_of_reasoning.lean | 6a32a54526ee6b4bd3910af8c0db364df81b9597 | [] | no_license | AbigailCastro17/CS2102-Discrete-Math | cf296251be9418ce90206f5e66bde9163e21abf9 | d741e4d2d6a9b2e0c8380e51706218b8f608cee4 | refs/heads/main | 1,682,891,087,358 | 1,621,401,341,000 | 1,621,401,341,000 | 368,749,959 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 13,463 | lean | /-
Today we will see in that proofs can be understood as formal
objects in their own right.
We will start to make our way through the valid rules of
inference from our unit on propositional logic. We will
emphasize that they are rules for combining and deriving
Boolean truth values. In predicate logic, by contrast, w... |
d5f9995bf32e900d94c991261022f34282c6af5f | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/algebra/pointwise_auto.lean | e99a232163ad5606195e26a1a0af15d47f99e5d1 | [] | 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 | 18,644 | 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 Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.algebra.module.basic
import Mathlib.data.set.finite
import Mathlib.group_... |
886837e371af46cce9b35b156e487dfda08ca8a9 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/topology/uniform_space/compact_separated_auto.lean | 01d8be7b420d77dd69fd2e8ad64c4ec6a37e8c26 | [] | 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 | 3,731 | lean | /-
Copyright (c) 2020 Patrick Massot. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Patrick Massot
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.topology.uniform_space.separation
import Mathlib.PostPort
universes u_1 u_2 u_3
namespac... |
2f3e33ece45cb015353e6b90de93d53900b32a01 | 35677d2df3f081738fa6b08138e03ee36bc33cad | /src/data/real/ennreal.lean | 9dcb8635027e921368e1bbcb8a9aa7fd96a8ad83 | [
"Apache-2.0"
] | permissive | gebner/mathlib | eab0150cc4f79ec45d2016a8c21750244a2e7ff0 | cc6a6edc397c55118df62831e23bfbd6e6c6b4ab | refs/heads/master | 1,625,574,853,976 | 1,586,712,827,000 | 1,586,712,827,000 | 99,101,412 | 1 | 0 | Apache-2.0 | 1,586,716,389,000 | 1,501,667,958,000 | Lean | UTF-8 | Lean | false | false | 44,269 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Johannes Hölzl, Yury Kudryashov
Extended non-negative reals
-/
import data.real.nnreal order.bounds data.set.intervals tactic.norm_num
noncomputable theory
open classical set
open_loc... |
871f29470eaf2bdaa4a7c53db6443722a2ccaa0b | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /test/simps.lean | 74a558af4b53f3afd8a949e6e51b38a3da2018a5 | [
"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 | 36,111 | lean | import algebra.hom.group
import data.sum.basic
import tactic.simps
universes v u w
-- set_option trace.simps.verbose true
-- set_option trace.simps.debug true
-- set_option trace.app_builder true
open function tactic expr
structure equiv' (α : Sort*) (β : Sort*) :=
(to_fun : α → β)
(inv_fun : β → α)
(left_inv ... |
644c20fcdd429b089fcf8f80340cb8624c459d0a | 649957717d58c43b5d8d200da34bf374293fe739 | /src/analysis/calculus/deriv.lean | 2c404b69b7a5f63bf2d88c38c8daaec31dbd232c | [
"Apache-2.0"
] | permissive | Vtec234/mathlib | b50c7b21edea438df7497e5ed6a45f61527f0370 | fb1848bbbfce46152f58e219dc0712f3289d2b20 | refs/heads/master | 1,592,463,095,113 | 1,562,737,749,000 | 1,562,737,749,000 | 196,202,858 | 0 | 0 | Apache-2.0 | 1,562,762,338,000 | 1,562,762,337,000 | null | UTF-8 | Lean | false | false | 45,558 | 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
The Fréchet derivative.
Let `E` and `F` be normed spaces, `f : E → F`, and `f' : E →L[k] F` a
continuous k-linear map, where `k` is a non-discrete nor... |
1d14855fd50ef295394b824e59230bed9b224857 | d1a52c3f208fa42c41df8278c3d280f075eb020c | /tests/lean/625.lean | 82546e0d5e3dffee5f1a0c993c7163e37b75f345 | [
"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 | 648 | lean | import Lean
open Lean Lean.PrettyPrinter
def pfoo : PUnit → PUnit := id
def px : PUnit := ()
@[appUnexpander foo] def unexpandFoo : Unexpander := fun _ => `(sorry)
#eval show MetaM Format from do
let e : Expr := mkApp (mkMData {} $ mkConst `foo [levelOne]) (mkConst `x)
formatTerm (← delab Name.anonymous [] e)
... |
757789ed842e4de1a95eb81071880bc7fbb00256 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/category_theory/limits/constructions/over/connected.lean | b6f3351bf48368f1368a3f188c54cd2af8dfd36a | [
"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 | 2,907 | lean | /-
Copyright (c) 2018 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin, Reid Barton, Bhavik Mehta
-/
import category_theory.over
import category_theory.limits.connected
import category_theory.limits.creates
/-!
# Connected limits in the ov... |
ad1c39a5e1ad6fa8bbe3e1bbce5d1853471c2229 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/run/vec_inv3.lean | 7fa820c1dcf9aedb1039a7832b3498bcb5d80289 | [
"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 | 715 | lean | import data.nat.basic data.empty data.prod
open nat eq.ops prod
inductive vector (T : Type) : ℕ → Type :=
| nil {} : vector T 0
| cons : T → ∀{n}, vector T n → vector T (succ n)
set_option pp.metavar_args true
set_option pp.implicit true
set_option pp.notation false
namespace vector
variables {A B C : Type}
vari... |
3869dcde66d2eb2b8c3fd791957206a84f1f4fc4 | f00cc9c04d77f9621aa57d1406d35c522c3ff82c | /library/init/data/list/instances.lean | 981dd507bf8dc0c9d28c6aff203a3311a1a9f745 | [
"Apache-2.0"
] | permissive | shonfeder/lean | 444c66a74676d74fb3ef682d88cd0f5c1bf928a5 | 24d5a1592d80cefe86552d96410c51bb07e6d411 | refs/heads/master | 1,619,338,440,905 | 1,512,842,340,000 | 1,512,842,340,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,418 | 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.data.list.lemmas
import init.meta.mk_dec_eq_instance
open list
universes u v
local attribute [simp] join ret
instance : monad list :=
... |
c9f3be3cd73ef492f6df800328c9d641c1191ab1 | bbecf0f1968d1fba4124103e4f6b55251d08e9c4 | /src/data/nat/parity.lean | 3dd6e757b90c957bb44f1e277470232d3ee23f39 | [
"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 | 7,977 | lean | /-
Copyright (c) 2019 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Benjamin Davidson
-/
import data.nat.modeq
/-!
# Parity of natural numbers
This file contains theorems about the `even` and `odd` predicates on the natural numbers.
##... |
e1af6e7fbf2139af69d0593c00fe620ae319aebd | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /test/simp_result.lean | 9831c840d56513d5bb05a15b41a74eb7a58d857c | [
"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 | 3,914 | lean | import tactic.simp_result
import data.equiv.basic
open tactic
-- Check that we can walk.
example : true :=
by { simp_result { trivial } }
-- Comparison without `dsimp_result`:
example : true :=
begin
exact (id trivial),
(do `(id trivial) ← result, skip),
success_if_fail { (do `(trivial) ← result, skip) },
end
... |
a834e9867ba1c93c3ee022ab7224de254822b517 | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/data/nat/psub.lean | d675962351cf3e7b574fba2765687bba9f5ed6bc | [
"Apache-2.0"
] | permissive | Lix0120/mathlib | 0020745240315ed0e517cbf32e738d8f9811dd80 | e14c37827456fc6707f31b4d1d16f1f3a3205e91 | refs/heads/master | 1,673,102,855,024 | 1,604,151,044,000 | 1,604,151,044,000 | 308,930,245 | 0 | 0 | Apache-2.0 | 1,604,164,710,000 | 1,604,163,547,000 | null | UTF-8 | Lean | false | false | 2,505 | 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.nat.basic
/-!
# Partial predecessor and partial subtraction on the natural numbers
The usual definition of natural number subtraction (`nat.sub`) returns ... |
46aaf52d82cb204dd612cde2d78c89a8eb0db34b | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/Lean/Compiler/ImplementedByAttr.lean | f9179ee525ec3b2cc057617df6512de2e41aa586 | [
"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 | 2,062 | 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.Attributes
import Lean.Declaration
import Lean.MonadEnv
import Lean.Elab.InfoTree
namespace Lean.Compiler
builtin_initialize implementedByAttr... |
0316488e8d87fc64f4cac677411201d80b68c4c0 | 3705439886316285035ef1fd985632bc87eb06e7 | /native/LeanProtoNativeHelpers.lean | 22be3142a3c6001fcb1207a6c924abb9d784069c | [
"MIT"
] | permissive | zygi/lean-proto | ce74f29d33f12f240878f0f8cbe4960c41b70fcb | 4d64844d8978c68c8038886013d33048c23a7674 | refs/heads/master | 1,680,996,798,349 | 1,618,444,323,000 | 1,618,444,323,000 | 342,923,095 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,673 | lean | namespace Float
@[extern c inline "*(double*)()"]
constant ofUInt64Transmute (i: UInt64) : Float
@[extern c inline "(double)(*(float*)())"]
constant ofUInt32Transmute (i: UInt32) : Float
-- Too many casts to put inline
@[extern "proto_lean_transmute_double_to_uint32"]
constant toUInt32Transmute (i: Float) : UI... |
23b296ef8f3495a5dd85e45a2b52dc478b714807 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/topology/algebra/algebra.lean | a339814d4114472ecda30d99bbcf50bdcf0aef19 | [
"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 | 5,979 | lean | /-
Copyright (c) 2021 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import algebra.algebra.subalgebra.basic
import topology.algebra.module.basic
import topology.algebra.field
/-!
# Topological (sub)algebras
A topological algebra ove... |
f8d245cf29aecf7d196c5bd694510725f2b335a6 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/Lean/Server/FileWorker/WidgetRequests.lean | 2c7fa57884695dd13c32a5370358a1215f2b9977 | [
"Apache-2.0",
"LLVM-exception",
"NCSA",
"LGPL-3.0-only",
"LicenseRef-scancode-inner-net-2.0",
"BSD-3-Clause",
"LGPL-2.0-or-later",
"Spencer-94",
"LGPL-2.1-or-later",
"HPND",
"LicenseRef-scancode-pcre",
"ISC",
"LGPL-2.1-only",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | leanprover/lean4 | 4bdf9790294964627eb9be79f5e8f6157780b4cc | f1f9dc0f2f531af3312398999d8b8303fa5f096b | refs/heads/master | 1,693,360,665,786 | 1,693,350,868,000 | 1,693,350,868,000 | 129,571,436 | 2,827 | 311 | Apache-2.0 | 1,694,716,156,000 | 1,523,760,560,000 | Lean | UTF-8 | Lean | false | false | 5,248 | lean | /-
Copyright (c) 2021 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Wojciech Nawrocki
-/
import Lean.Widget.Basic
import Lean.Widget.InteractiveCode
import Lean.Widget.InteractiveGoal
import Lean.Widget.InteractiveDiagnostic
import Lean.Server... |
acd3e95a91fd22cb13718fc39d130669d32b5cc4 | 302c785c90d40ad3d6be43d33bc6a558354cc2cf | /src/algebra/group_power/basic.lean | 25f2d4387ea00c772427f94af702471ef83b09fe | [
"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 | 27,731 | lean | /-
Copyright (c) 2015 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Robert Y. Lewis
-/
import algebra.ordered_ring
import tactic.monotonicity.basic
import deprecated.group
/-!
# Power operations on monoids and groups
The power operation... |
b7f9a5eaaeea4504ebfbc3923ebf1d3c691998ee | 2a70b774d16dbdf5a533432ee0ebab6838df0948 | /_target/deps/mathlib/src/number_theory/pythagorean_triples.lean | e6c22d425db2acd58a8046789d395d673e1feb5a | [
"Apache-2.0"
] | permissive | hjvromen/lewis | 40b035973df7c77ebf927afab7878c76d05ff758 | 105b675f73630f028ad5d890897a51b3c1146fb0 | refs/heads/master | 1,677,944,636,343 | 1,676,555,301,000 | 1,676,555,301,000 | 327,553,599 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 26,068 | lean | /-
Copyright (c) 2020 Paul van Wamelen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Paul van Wamelen.
-/
import algebra.field
import ring_theory.int.basic
import algebra.group_with_zero.power
import tactic.ring
import tactic.ring_exp
import tactic.field_simp
/-!
# P... |
9c697e91eb9c5656a2d45e202b1c2a6bcc9efade | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/number_theory/class_number/admissible_card_pow_degree.lean | dfb55c2f566e643ee6749e4c280e09b2f5d4294e | [
"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 | 13,942 | lean | /-
Copyright (c) 2021 Anne Baanen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Anne Baanen
-/
import number_theory.class_number.admissible_absolute_value
import analysis.special_functions.pow.real
import ring_theory.ideal.local_ring
import data.polynomial.degree.car... |
60b4c327a6cce957d5a9f6bd4489a3a9ae217df3 | 618003631150032a5676f229d13a079ac875ff77 | /src/algebra/group/units_hom.lean | 50e48dbeddade8064a07d32310c1876269538330 | [
"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 | 4,977 | lean | /-
Copyright (c) 2018 Johan Commelin All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin, Chris Hughes, Kevin Buzzard
-/
import algebra.group.units
import algebra.group.hom
/-!
# Lift monoid homomorphisms to group homomorphisms of their units subgroups.
-/
u... |
4293154d380f173fd988ae03ebdac99b3bac3413 | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /hott/homotopy/sphere.hlean | 9f44cf7b32d7ccbb70e435710114c9ebd3a48140 | [
"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 | 10,246 | 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 n-spheres
-/
import .susp types.trunc
open eq nat susp bool is_trunc unit pointed algebra
/-
We can define spheres with the following possib... |
0e744aed17e8a16c147ae80cb2c141f905447ed9 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/topology/connected.lean | 14e3ea02576ae2c74be27301e239663b19586e10 | [
"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 | 46,071 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro, Yury Kudryashov
-/
import topology.subset_properties
/-!
# Connected subsets of topological spaces
In this file we define connected subsets of a topol... |
3c2328b00777fcb9c6631736a622ddaddc7a102d | cb3da1b91380e7462b579b426a278072c688954a | /src/xu.lean | ab8b495ce2f5e4547f3d4f6cd277d85f7f378920 | [] | no_license | hcheval/tikhonov-mann | 35c93e46a8287f6479a848a9d4f02013e0bc2035 | 6ab7fcefe9e1156c20bd5d1998a7deabd1eeb018 | refs/heads/master | 1,689,232,126,344 | 1,630,182,255,000 | 1,630,182,255,000 | 399,859,996 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,349 | lean | import rates
import leu_pin
open_locale big_operators
open finset (range)
def xu_rate (χ γ δ₀ : ℕ → ℕ) (L : ℕ) (k : ℕ) : ℕ :=
max
(γ (3 * L * (k + 1) * (δ₀ k) - 1))
(χ (3 * k + 2) + 1)
+ 1
open leu_pin (δ)
lemma xu_quantitative
(a c s : ℕ → ℝ)
(L : ℕ)
(χ : ℕ → ℕ)
(γ : ℕ → ℕ)
(δ₀ : ℕ → ℕ)
(a0 : ∀ n : ℕ, 0... |
9fd867fe2fcb03ce5b757083da7c721228736c4e | 6dc0c8ce7a76229dd81e73ed4474f15f88a9e294 | /stage0/src/Lean/Elab/Deriving.lean | 6f380820c16b163504450e60d40aa9a5c3ffa3f1 | [
"Apache-2.0"
] | permissive | williamdemeo/lean4 | 72161c58fe65c3ad955d6a3050bb7d37c04c0d54 | 6d00fcf1d6d873e195f9220c668ef9c58e9c4a35 | refs/heads/master | 1,678,305,356,877 | 1,614,708,995,000 | 1,614,708,995,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 426 | lean | /-
Copyright (c) 2020 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Elab.Deriving.Basic
import Lean.Elab.Deriving.Util
import Lean.Elab.Deriving.Inhabited
import Lean.Elab.Deriving.BEq
import Lean.Elab.Deriving.D... |
89a4f3d339cbea248a298e3dd771afe2f3521d54 | bb31430994044506fa42fd667e2d556327e18dfe | /src/number_theory/bertrand.lean | a3cc2fd71c6d64de7011ade49eed9ae098679e35 | [
"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 | 11,297 | lean | /-
Copyright (c) 2020 Patrick Stevens. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Patrick Stevens, Bolton Bailey
-/
import data.nat.choose.factorization
import data.nat.prime_norm_num
import number_theory.primorial
import analysis.convex.specific_functions
/-!
# B... |
01ddc373f2673eb6a402d9119e694fa9df8e31cb | 4727251e0cd73359b15b664c3170e5d754078599 | /src/analysis/mean_inequalities_pow.lean | af0dfc85fa8155d86536127efb770004a6f475e9 | [
"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 | 12,913 | lean | /-
Copyright (c) 2019 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov, Sébastien Gouëzel, Rémy Degenne
-/
import analysis.convex.specific_functions
/-!
# Mean value inequalities
In this file we prove several mean inequalities for finit... |
28e6aa047e554b3fa545110a0edcf49ae2e754d4 | 2eab05920d6eeb06665e1a6df77b3157354316ad | /src/linear_algebra/affine_space/affine_map.lean | e8c156cf20950b2d4ee38bc6a60fcbb25957a2b2 | [
"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 | 20,821 | lean | /-
Copyright (c) 2020 Joseph Myers. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Myers
-/
import linear_algebra.affine_space.basic
import linear_algebra.tensor_product
import linear_algebra.prod
import linear_algebra.pi
import data.set.intervals.unordered_inte... |
5891a494917ae6841d68742b05ee94524905f8f7 | 82e44445c70db0f03e30d7be725775f122d72f3e | /src/category_theory/opposites.lean | 69d308c5b79840935dc9645f31f742994e7bd670 | [
"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 | 15,116 | lean | /-
Copyright (c) 2017 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Stephen Morgan, Scott Morrison
-/
import category_theory.types
import category_theory.equivalence
universes v₁ v₂ u₁ u₂ -- morphism levels before object levels. See note [category_the... |
7dbc6b7d9c65049cba7cf283007bc08229d15d47 | e030b0259b777fedcdf73dd966f3f1556d392178 | /tests/lean/run/cc1.lean | a1391cdd24a615932d2fc7809d1443545a694b8d | [
"Apache-2.0"
] | permissive | fgdorais/lean | 17b46a095b70b21fa0790ce74876658dc5faca06 | c3b7c54d7cca7aaa25328f0a5660b6b75fe26055 | refs/heads/master | 1,611,523,590,686 | 1,484,412,902,000 | 1,484,412,902,000 | 38,489,734 | 0 | 0 | null | 1,435,923,380,000 | 1,435,923,379,000 | null | UTF-8 | Lean | false | false | 2,150 | lean | open tactic
set_option pp.implicit true
example (a b c d : nat) (f : nat → nat → nat) : a = b → b = c → d + (if b > 0 then a else b) = 0 → f (b + b) b ≠ f (a + c) c → false :=
by do intros,
s ← cc_state.mk_using_hs,
s^.pp >>= trace,
t₁ ← to_expr `(f (b + b) b),
t₂ ← to_expr `(f (a + c) c),
... |
4f9a46829e05c2e25f56b247eb7337f645a48b34 | 874a8d2247ab9a4516052498f80da2e32d0e3a48 | /square_root_prime_v2.lean | bd31c1424ea006b2e07142e4dfa2b4baaa487e95 | [] | no_license | AlexKontorovich/Spring2020Math492 | 378b36c643ee029f5ab91c1677889baa591f5e85 | 659108c5d864ff5c75b9b3b13b847aa5cff4348a | refs/heads/master | 1,610,780,595,457 | 1,588,174,859,000 | 1,588,174,859,000 | 243,017,788 | 0 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 10,963 | lean | import tactic
import data.nat.prime
import data.int.basic
open classical
-- HUMAN PROOF 1:
--Claim: Let n > 1. If n has no positive PRIME factor less ≤ sqrt(n), then n is prime
-- Proof by Contradiction:
-- Suppose n is not prime. Then n has atleast two positive prime factors p1 and p2 such that
-- n = p1p2*k for so... |
c61861a80e65eff19814b0971fd0dffff618cdd1 | 947fa6c38e48771ae886239b4edce6db6e18d0fb | /src/measure_theory/integral/integrable_on.lean | f7c9c136d28edd16d61b3fe61ae71f0ea8d17f5f | [
"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 | 20,875 | lean | /-
Copyright (c) 2021 Rémy Degenne. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Zhouhang Zhou, Yury Kudryashov
-/
import measure_theory.function.l1_space
import analysis.normed_space.indicator_function
/-! # Functions integrable on a set and at a filter
We define... |
54bb6a32e0c45cf0cd2a2211979ed003793a6f53 | ae9f8bf05de0928a4374adc7d6b36af3411d3400 | /src/formal_ml/ennreal.lean | 1e4073da93af575b8282cb8f593f8d7c968c41e3 | [
"Apache-2.0"
] | permissive | NeoTim/formal-ml | bc42cf6beba9cd2ed56c1cd054ab4eb5402ed445 | c9cbad2837104160a9832a29245471468748bb8d | refs/heads/master | 1,671,549,160,900 | 1,601,362,989,000 | 1,601,362,989,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,095 | lean | /-
Copyright 2020 Google LLC
Licensed under the Apache License, Version 2.0 (the "License");
you may not use this file except in compliance with the License.
You may obtain a copy of the License at
http://www.apache.org/licenses/LICENSE-2.0
Unless required by applicable law or agreed to in writing, software
di... |
d906e1946c22e938b76fd69808d1562fbcd3260d | 367134ba5a65885e863bdc4507601606690974c1 | /src/number_theory/pell.lean | 95b335a4b979017a3964ebc7ccb955957a880b6e | [
"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 | 39,420 | 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.nat.modeq
import data.zsqrtd.basic
/-!
# Pell's equation and Matiyasevic's theorem
This file solves Pell's equation, i.e. integer solutions to `x ^ 2 -... |
ca2432b85f6e800737e33a5fdfc58bdab48961b5 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/eq15.lean | de98b67232d60b42d11e78cd727fc22e3f7f62fa | [
"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 | 401 | lean | open list
set_option pp.implicit true
definition app {A : Type} : list A → list A → list A
| nil l := l
| (h :: t) l := h :: (app t l)
theorem app_nil {A : Type} (l : list A) : app nil l = l :=
rfl
theorem app_cons {A : Type} (h : A) (t l : list A) : app (h :: t) l = h :: (app t l) :=
rfl
example : app ((1:na... |
8e1fa4ce63074304328c89b6cef0789260557b29 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/data/fun_like/basic.lean | c250c6d4e5a279fe9d64acbca659571127af990e | [
"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 | 7,298 | lean | /-
Copyright (c) 2021 Anne Baanen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Anne Baanen
-/
import logic.function.basic
import tactic.lint
import tactic.norm_cast
/-!
# Typeclass for a type `F` with an injective map to `A → B`
> THIS FILE IS SYNCHRONIZED WITH M... |
5e08beb811f87933b15722f2d59fdab487779fa7 | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /hott/init/wf.hlean | 82c688a6e0c9d7ea45404c77e0e19070879f4826 | [
"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 | 8,303 | hlean | /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura
-/
prelude
import init.relation init.tactic init.funext
open eq
inductive acc.{l₁ l₂} {A : Type.{l₁}} (R : A → A → Type.{l₂}) : A → Type.{max l₁ l₂} :=
intro ... |
ac40afec6ccec983a2de36581a165666496d062a | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/analysis/calculus/deriv/support.lean | adb9f0637a7ad54d7c174ba0a5872961be7c5f0b | [
"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 | 1,217 | lean | /-
Copyright (c) 2022 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn
-/
import analysis.calculus.deriv.basic
/-!
# Support of the derivative of a function
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file require... |
efa2f2343d04d06dae1779ece6d1841a6baa884a | 82e44445c70db0f03e30d7be725775f122d72f3e | /src/measure_theory/tactic.lean | eca41146a3f572a24fe5d3450dfed6e4d5a2ea72 | [
"Apache-2.0"
] | permissive | stjordanis/mathlib | 51e286d19140e3788ef2c470bc7b953e4991f0c9 | 2568d41bca08f5d6bf39d915434c8447e21f42ee | refs/heads/master | 1,631,748,053,501 | 1,627,938,886,000 | 1,627,938,886,000 | 228,728,358 | 0 | 0 | Apache-2.0 | 1,576,630,588,000 | 1,576,630,587,000 | null | UTF-8 | Lean | false | false | 6,428 | lean | /-
Copyright (c) 2021 Rémy Degenne. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Rémy Degenne
-/
import tactic.auto_cases
import tactic.tidy
import tactic.with_local_reducibility
import tactic.show_term
import measure_theory.measure_space_def
/-!
# Tactics for measur... |
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