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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
af52f7a389bcad5e9fe3d5f43bf1dca954aa312e | af8f7009790b746dd45337e0f268a5d3310398a6 | /06-formalizacija-dokazov/vaje-imp.lean | 70ce7ed7ba938bd4cbc6edd7cce8056843240ca7 | [] | no_license | hackguy25/teorija-programskih-jezikov | 341a202162b2b7635b8487de7c2442ab25c85a8e | 05de0610e039cfdf774129648d31bc1fb4a700d3 | refs/heads/master | 1,599,726,471,357 | 1,577,115,595,000 | 1,577,115,595,000 | 221,702,709 | 0 | 0 | null | 1,574,090,780,000 | 1,573,737,685,000 | null | UTF-8 | Lean | false | false | 8,378 | lean | -- ==================== Syntax ====================
def loc := string
inductive aexp : Type
| Lookup : loc -> aexp
| Int : int -> aexp
| Plus : aexp -> aexp -> aexp
| Minus : aexp -> aexp -> aexp
| Times : aexp -> aexp -> aexp
inductive bexp : Type
| Bool : bool -> bexp
| Equal : aexp -> aexp -> bexp
| Less : aexp... |
d538852dc7467638709ad9ced7981bd34a128f8c | d1a52c3f208fa42c41df8278c3d280f075eb020c | /tests/lean/run/structInst4.lean | 99fc8cba770e3801a0e11d4c74475f21239f05dd | [
"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 | 484 | lean | universe u
def a : Array ((Nat × Nat) × Bool) := #[]
def b : Array Nat := #[]
structure Foo :=
(x : Array ((Nat × Nat) × Bool) := #[])
(y : Nat := 0)
#check (b).modifyOp (idx := 1) (fun s => 2)
#check { b with [1] := 2 }
#check { a with [1].fst.2 := 1 }
def foo : Foo := {}
#check foo.x[1].1.2
#check { foo with ... |
a695ee4ad3708fb439d6a509005410de5bf11f2a | 8b9f17008684d796c8022dab552e42f0cb6fb347 | /tests/lean/run/reducible.lean | 88964b453c96a864cc1e13d77815a9a49d9cc157 | [
"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 | 1,270 | lean | definition x [reducible] := 10
definition y := 20
definition z [irreducible] := 30
opaque definition w := 40
(*
local env = get_env()
local x = Const("x")
local y = Const("y")
local z = Const("z")
local w = Const("w")
local val_x = env:find("x"):value()
local val_y = env... |
5321fae56193f6e383c3c37b999a339b1d6e8107 | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/data/prod.lean | 23bf4e18940d26c7ba2dd70caca590c8d98951ae | [
"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 | 5,540 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
-/
import tactic.basic
/-!
# Extra facts about `prod`
This file defines `prod.swap : α × β → β × α` and proves various simple lemmas about `prod`.
-/
variables {α : T... |
dadb216614460d363bbf00c46bdf98e645bc8e68 | 0845ae2ca02071debcfd4ac24be871236c01784f | /tests/playground/ir.lean | 2674a7ba817a0e279efc920fe41e389d8bec1c8b | [
"Apache-2.0"
] | permissive | GaloisInc/lean4 | 74c267eb0e900bfaa23df8de86039483ecbd60b7 | 228ddd5fdcd98dd4e9c009f425284e86917938aa | refs/heads/master | 1,643,131,356,301 | 1,562,715,572,000 | 1,562,715,572,000 | 192,390,898 | 0 | 0 | null | 1,560,792,750,000 | 1,560,792,749,000 | null | UTF-8 | Lean | false | false | 222 | lean | import init.lean.compiler.ir
open Lean.IR
def tst1 : IO Unit :=
let fbody : FnBody :=
FnBody.vdecl `x IRType.uint32 (Expr.lit (LitVal.num 0)) $
FnBody.ret `x in
IO.println $ format fbody
def main : IO Unit :=
tst1
|
dc6323a9b406305e52ee75ffdf73016d9556488c | a9fe717b93ccfa4b2e64faeb24f96dfefb390240 | /valuation.lean | 3b5353db515c2f6aeb8fff374d197a3465c28e8c | [] | no_license | skbaek/omega | ab1f4a6daadfc8c855f14c39d9459ab841527141 | 715e384ed14e8eb177a326700066e7c98269e078 | refs/heads/master | 1,588,000,876,352 | 1,552,645,917,000 | 1,552,645,917,000 | 174,442,914 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 405 | lean | variable {α : Type}
def update (m a) (v : nat → α) : nat → α
| n := if n = m then a else v n
notation v `⟨` m `↦` a `⟩` := update m a v
lemma update_eq (m a) (v : nat → α) : (v ⟨m ↦ a⟩) m = a :=
begin simp only [update, if_pos rfl] end
lemma update_eq_of_ne {m a} {v : nat → α} (k) :
k ≠ m → update m a v k = v k... |
b09acdbc41756273871cbbd330ceafd57c0b9c63 | 969dbdfed67fda40a6f5a2b4f8c4a3c7dc01e0fb | /src/category_theory/simple.lean | 999c89e3f611e213648f3cb71beb3074087c73a2 | [
"Apache-2.0"
] | permissive | SAAluthwela/mathlib | 62044349d72dd63983a8500214736aa7779634d3 | 83a4b8b990907291421de54a78988c024dc8a552 | refs/heads/master | 1,679,433,873,417 | 1,615,998,031,000 | 1,615,998,031,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,545 | lean | /-
Copyright (c) 2020 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Markus Himmel, Scott Morrison
-/
import category_theory.limits.shapes.zero
import category_theory.limits.shapes.kernels
import category_theory.abelian.basic
noncomputable theory
open... |
6b05ca505ed2134134bfae381718ad7ab7dfaef6 | c3f2fcd060adfa2ca29f924839d2d925e8f2c685 | /tests/lean/ctxopt.lean | af96a7f26093341b70090041ed885f0833a72787 | [
"Apache-2.0"
] | permissive | respu/lean | 6582d19a2f2838a28ecd2b3c6f81c32d07b5341d | 8c76419c60b63d0d9f7bc04ebb0b99812d0ec654 | refs/heads/master | 1,610,882,451,231 | 1,427,747,084,000 | 1,427,747,429,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 125 | lean | import logic
definition id {A : Type} (a : A) := a
context
set_option pp.implicit true
check id true
end
check id true
|
b28a7651a07986d9c8cfd5205a9d9bb586c041f3 | 5d166a16ae129621cb54ca9dde86c275d7d2b483 | /library/init/data/char/lemmas.lean | 818cd5201b7c07ff4edb9ff5fc32594e4f4f15b1 | [
"Apache-2.0"
] | permissive | jcarlson23/lean | b00098763291397e0ac76b37a2dd96bc013bd247 | 8de88701247f54d325edd46c0eed57aeacb64baf | refs/heads/master | 1,611,571,813,719 | 1,497,020,963,000 | 1,497,021,515,000 | 93,882,536 | 1 | 0 | null | 1,497,029,896,000 | 1,497,029,896,000 | null | UTF-8 | Lean | false | false | 950 | lean | prelude
import init.meta init.logic init.data.nat.lemmas
import init.data.char.basic
namespace char
lemma of_nat_eq_of_lt {n : nat} : ∀ h : n < char_sz, of_nat n = fin.mk n h :=
begin
intro h,
unfold of_nat,
cases (nat.decidable_lt n char_sz),
{contradiction},
{reflexivity}
end
lemma of_nat_eq_fin_of_ge {n ... |
0e88946f84559de9647a0d3c8f729c136c78f0a0 | 55c7fc2bf55d496ace18cd6f3376e12bb14c8cc5 | /src/topology/uniform_space/cauchy.lean | 1358c49c76e6a9b4d0a1d712f77bae96f451cb11 | [
"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 | 26,209 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro
-/
import topology.uniform_space.basic
import topology.bases
import data.set.intervals
/-!
# Theory of Cauchy filters in uniform spaces. Complete uniform... |
3835321d508a2238c7c93de5b06ca200eb75e038 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/data/set/ncard.lean | 34ccdf0fa368abf3da5c47e1eb669e50fc6a5f87 | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 30,355 | lean | /-
Copyright (c) 2023 Peter Nelson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Peter Nelson
-/
import data.finite.card
import algebra.big_operators.finprod
/-!
# Noncomputable Set Cardinality
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file r... |
a1368cbf404b7e00cdd13e3e6f76b5c1bb2ff2da | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/group_theory/perm/option.lean | 0d04828bf0728c70cb1a6dcfe68128be795c4f13 | [
"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 | 3,137 | lean | /-
Copyright (c) 2021 Eric Wieser. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Eric Wieser
-/
import data.fintype.perm
import group_theory.perm.sign
import logic.equiv.option
/-!
# Permutations of `option α`
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes... |
53cb757ff4ae050847d7b7ed826019de512ac734 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /test/ext.lean | a8cfab7aee55df2d3571afd2cabd23af9e32d67d | [
"Apache-2.0"
] | permissive | robertylewis/mathlib | 3d16e3e6daf5ddde182473e03a1b601d2810952c | 1d13f5b932f5e40a8308e3840f96fc882fae01f0 | refs/heads/master | 1,651,379,945,369 | 1,644,276,960,000 | 1,644,276,960,000 | 98,875,504 | 0 | 0 | Apache-2.0 | 1,644,253,514,000 | 1,501,495,700,000 | Lean | UTF-8 | Lean | false | false | 3,719 | lean | /-
Copyright (c) 2018 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon
-/
import tactic.ext
import tactic.solve_by_elim
import data.stream.init
import data.finset.basic
import tactic.rcases
section ext_trace_test
setup_tactic_parser
namespace ... |
77b050afa8020df95212979ebe28a5d991c287c8 | ae1e94c332e17c7dc7051ce976d5a9eebe7ab8a5 | /tests/bench/const_fold.lean | 558e85651d602c43f8c06b5ca5b669ade395331b | [
"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 | 2,242 | lean | #lang lean4
inductive Expr
| Var : Nat → Expr
| Val : Nat → Expr
| Add : Expr → Expr → Expr
| Mul : Expr → Expr → Expr
namespace Expr
open Nat
def mkExpr : Nat → Nat → Expr
| 0, v => if v = 0 then Var 1 else Val v
| n+1, v => Add (mkExpr n (v+1)) (mkExpr n (v-1))
def appendAdd : Expr → Expr → Expr
| Add e₁ e₂,... |
80feb0637f4fb82a90c2ba4d3a79126dbfdd4e06 | 367134ba5a65885e863bdc4507601606690974c1 | /src/category_theory/limits/over.lean | d82af1363c771c4bef1d7ebc76aec13768c49977 | [
"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 | 7,503 | 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.adjunction.opposites
import category_theory.limits.preserves.basic
import category_theor... |
fa4c70fefe6a074fdb46e5638d7c8a7c35335bc1 | c777c32c8e484e195053731103c5e52af26a25d1 | /src/topology/category/Locale.lean | 795f926e4ebc8847f1ec848bf182dff751a373cd | [
"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 | 1,248 | lean | /-
Copyright (c) 2022 Yaël Dillies. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yaël Dillies
-/
import order.category.Frm
/-!
# The category of locales
This file defines `Locale`, the category of locales. This is the opposite of the category of frames.
-/
univers... |
54120b50a336ed21a2ac7b3e9006cf272120d372 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/data/rat/basic.lean | a3bb6366f1be54e85bd6bfd66df3c66a95a4a006 | [
"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 | 1,470 | lean | /-
Copyright (c) 2019 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro
-/
import algebra.euclidean_domain
import data.int.cast
import data.nat.gcd
import data.rat.defs
import logic.encodable.basic
/-!
# Field Structure on t... |
bb568f7bf478ba4043ec4cd6cd3811142cdd7cbb | 302c785c90d40ad3d6be43d33bc6a558354cc2cf | /src/number_theory/lucas_lehmer.lean | f8e2f2afc48b9013540980ce1d36be4d6cd9e599 | [
"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 | 17,309 | lean | /-
Copyright (c) 2020 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Scott Morrison, Ainsley Pahljina
-/
import tactic.ring_exp
import tactic.interval_cases
import data.nat.parity
import data.zmod.basic
import group_theory.order_of_eleme... |
3d41b9a416abf2b103dba93134730bb509753d3e | ac89c256db07448984849346288e0eeffe8b20d0 | /src/Init/Data/Array/Basic.lean | 8accb2c22f8d5ceefd006467f30fb019bd5940ab | [
"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 | 27,711 | lean | /-
Copyright (c) 2018 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.Nat.Basic
import Init.Data.Fin.Basic
import Init.Data.UInt
import Init.Data.Repr
import Init.Data.ToString.Basic
import Init.Util
u... |
9e47e7bd72c8969174733ffed08ce520c9c4b7d8 | 56762daf61566a2baf390b5d77988c29c75187e3 | /src/immersions.lean | 912d394f270e404729bf7aaf007399bea997ae16 | [] | no_license | Nicknamen/lie_group | de173ce5f1ffccb945ba05dca23ff27daef0e3b4 | e0d5c4f859654e3dea092702f1320c3c72a49983 | refs/heads/master | 1,674,937,428,196 | 1,607,213,423,000 | 1,607,213,423,000 | 275,196,635 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 21,712 | lean | /-
Copyright © 2020 Nicolò Cavalleri. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Nicolò Cavalleri.
-/
import .lie_group
import .local_diffeomorph
noncomputable theory
section
variables {𝕜 : Type*} [nondiscrete_normed_field 𝕜]
{E : Type*} [normed_group E] [norm... |
a61b91c6d131f4cc9ca6fb469137076a676f3258 | 05b503addd423dd68145d68b8cde5cd595d74365 | /src/category_theory/concrete_category/basic.lean | 663fc220cdf7b9c842893a0072ace10856eeb595 | [
"Apache-2.0"
] | permissive | aestriplex/mathlib | 77513ff2b176d74a3bec114f33b519069788811d | e2fa8b2b1b732d7c25119229e3cdfba8370cb00f | refs/heads/master | 1,621,969,960,692 | 1,586,279,279,000 | 1,586,279,279,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 6,584 | lean | /-
Copyright (c) 2018 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison, Johannes Hölzl, Reid Barton, Sean Leather, Yury Kudryashov
-/
import category_theory.types category_theory.full_subcategory
/-!
# Concrete categories
A concrete categ... |
027f3687d7397023c35104cdcfc546260d39adf3 | 969dbdfed67fda40a6f5a2b4f8c4a3c7dc01e0fb | /src/field_theory/mv_polynomial.lean | f75bc1f599bd8bd50fa61c69ac0ded9d2ca97d36 | [
"Apache-2.0"
] | permissive | SAAluthwela/mathlib | 62044349d72dd63983a8500214736aa7779634d3 | 83a4b8b990907291421de54a78988c024dc8a552 | refs/heads/master | 1,679,433,873,417 | 1,615,998,031,000 | 1,615,998,031,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,521 | lean | /-
Copyright (c) 2019 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Johannes Hölzl
-/
import ring_theory.mv_polynomial.basic
/-!
# Multivariate polynomials over fields
This file contains basic facts about multivariate polynomials over fields, for exa... |
b3ca213d35abc9a8c74011c81c8b7040eb7f4c84 | 947b78d97130d56365ae2ec264df196ce769371a | /src/Lean/Meta/Tactic/Subst.lean | a9240b5e4541633faaa3bb0ac30ab026c6c52e38 | [
"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 | 6,331 | 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.MatchUtil
import Lean.Meta.Tactic.Util
import Lean.Meta.Tactic.Revert
import Lean.Meta.Tactic.Intro
import Lean... |
6397ecd8cd309c217df99a9acd27a571bb1466ef | a19a4fce1e5677f4d20cbfdf60c04b6386ab8210 | /hott/init/wf.hlean | b5fc9cc7121afd12514937052ce15c6c8a318e7f | [
"Apache-2.0"
] | permissive | nthomas103/lean | 9c341a316e7d9faa00546462f90a8aa402e17eac | 04eaf184a92606a56e54d0d6c8d59437557263fc | refs/heads/master | 1,586,061,106,806 | 1,454,640,115,000 | 1,454,641,279,000 | 51,127,143 | 0 | 0 | null | 1,454,648,683,000 | 1,454,648,683,000 | null | UTF-8 | Lean | false | false | 5,845 | 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
inductive acc.{l₁ l₂} {A : Type.{l₁}} (R : A → A → Type.{l₂}) : A → Type.{max l₁ l₂} :=
intro : ∀x, (∀ y, R y x → ... |
1908d370a6506f0f2f7539a23208be01d9aeebc7 | 4efff1f47634ff19e2f786deadd394270a59ecd2 | /src/data/pnat/basic.lean | 5bfee09cd8df6a38a60b2a171d5207af2d9d7d0f | [
"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 | 18,709 | lean | /-
Copyright (c) 2017 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Mario Carneiro, Neil Strickland
-/
import data.nat.prime
/-- `ℕ+` is the type of positive natural numbers. It is defined as a subtype,
and the VM representation of `ℕ+` is the... |
67f14a580e83f0700bc4f15d1b4160c689c79c8f | 1e3a43e8ba59c6fe1c66775b6e833e721eaf1675 | /src/algebra/continued_fractions/default.lean | f12d9dc53c971879f390cab3ddf4cd479079329b | [
"Apache-2.0"
] | permissive | Sterrs/mathlib | ea6910847b8dfd18500486de9ab0ee35704a3f52 | d9327e433804004aa1dc65091bbe0de1e5a08c5e | refs/heads/master | 1,650,769,884,257 | 1,587,808,694,000 | 1,587,808,694,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 318 | lean | /-
Copyright (c) 2019 Kevin Kappelmann. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kevin Kappelmann
-/
import algebra.continued_fractions.continuants_recurrence
import algebra.continued_fractions.terminated_stable
/-!
# Default Exports for Continued Fractions
-/
|
6d3f671889a7f7e108971dfae2a662a789587788 | dd0f5513e11c52db157d2fcc8456d9401a6cd9da | /11_Tactic-Style_Proofs.org.45.lean | 92ee238e1bd0c9aa6a945e1766511dd962be6cff | [] | no_license | cjmazey/lean-tutorial | ba559a49f82aa6c5848b9bf17b7389bf7f4ba645 | 381f61c9fcac56d01d959ae0fa6e376f2c4e3b34 | refs/heads/master | 1,610,286,098,832 | 1,447,124,923,000 | 1,447,124,923,000 | 43,082,433 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 207 | lean | import standard
import data.nat
open nat
variables (f : nat → nat → nat → nat) (a b : nat)
-- BEGIN
example (H₁ : a = b) (H₂ : f b a b = 0) : f a a a = 0 :=
by rewrite [H₁ at -{2}, H₂]
-- END
|
4b8f9762969e2e5af12939c99197a4c0506843fd | 1a61aba1b67cddccce19532a9596efe44be4285f | /hott/algebra/category/constructions/functor.hlean | f2aceee5070e15d367dd630650497b81a2e623d2 | [
"Apache-2.0"
] | permissive | eigengrau/lean | 07986a0f2548688c13ba36231f6cdbee82abf4c6 | f8a773be1112015e2d232661ce616d23f12874d0 | refs/heads/master | 1,610,939,198,566 | 1,441,352,386,000 | 1,441,352,494,000 | 41,903,576 | 0 | 0 | null | 1,441,352,210,000 | 1,441,352,210,000 | null | UTF-8 | Lean | false | false | 9,444 | 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
Functor precategory and category
-/
import ..nat_trans ..category
open eq functor is_trunc nat_trans iso is_equiv
namespace category
definit... |
da8d134751b0669a5bbd383a5d260b594f837b50 | 0d4c30038160d9c35586ce4dace36fe26a35023b | /src/algebra/module.lean | 44846ce09d40be3359024ff92c7a7032e279fc0d | [
"Apache-2.0"
] | permissive | b-mehta/mathlib | b0c8ec929ec638447e4262f7071570d23db52e14 | ce72cde867feabe5bb908cf9e895acc0e11bf1eb | refs/heads/master | 1,599,457,264,781 | 1,586,969,260,000 | 1,586,969,260,000 | 220,672,634 | 0 | 0 | Apache-2.0 | 1,583,944,480,000 | 1,573,317,991,000 | Lean | UTF-8 | Lean | false | false | 25,682 | lean | /-
Copyright (c) 2015 Nathaniel Thomas. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Nathaniel Thomas, Jeremy Avigad, Johannes Hölzl, Mario Carneiro
-/
import algebra.ring algebra.big_operators group_theory.subgroup group_theory.group_action
/-!
# Modules over a rin... |
295d980145999b9f31a79ba318edd151d9fe9ea8 | e42ba0bcfa11e5be053e2ce1ce1f49f027680525 | /src/separation/heap/lemmas.lean | 9d658b0ea4f91d5f343b8fb98d992798139d04c6 | [] | no_license | unitb/separation-logic | 8e17c5b466f86caa143265f4c04c78eec9d3c3b8 | bdde6fc8f16fd43932aea9827d6c63cadd91c2e8 | refs/heads/master | 1,540,936,751,653 | 1,535,050,181,000 | 1,535,056,425,000 | 109,461,809 | 6 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 15,563 | lean |
import util.meta.tactic
import data.nat.basic
import util.data.nat
import util.data.order
import tactic
import separation.heap.basic
namespace heap
open nat list (hiding bind)
@[simp]
lemma heap_emp_disjoint (h : heap)
: heap.emp ## h :=
by { dunfold disjoint heap.emp, intros, left, refl }
@[simp]
lemma disjoint_... |
efa0a8a4db5abdd9e12e80a2c61eeb97108e951d | 4727251e0cd73359b15b664c3170e5d754078599 | /src/algebra/dual_number.lean | 9e1fee266c46f77e3eb9e5a35f54947d9db16d88 | [
"Apache-2.0"
] | permissive | Vierkantor/mathlib | 0ea59ac32a3a43c93c44d70f441c4ee810ccceca | 83bc3b9ce9b13910b57bda6b56222495ebd31c2f | refs/heads/master | 1,658,323,012,449 | 1,652,256,003,000 | 1,652,256,003,000 | 209,296,341 | 0 | 1 | Apache-2.0 | 1,568,807,655,000 | 1,568,807,655,000 | null | UTF-8 | Lean | false | false | 3,303 | lean | /-
Copyright (c) 2021 Eric Wieser. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Eric Wieser
-/
import algebra.triv_sq_zero_ext
/-!
# Dual numbers
The dual numbers over `R` are of the form `a + bε`, where `a` and `b` are typically elements of a
commutative ring `R`... |
876add8f5685065654a25ad9802d7181a2fcc7bc | 0c1546a496eccfb56620165cad015f88d56190c5 | /tests/lean/run/super_examples.lean | 2f04319acc6b1223ea6ea41bc990e15d2968bcbb | [
"Apache-2.0"
] | permissive | Solertis/lean | 491e0939957486f664498fbfb02546e042699958 | 84188c5aa1673fdf37a082b2de8562dddf53df3f | refs/heads/master | 1,610,174,257,606 | 1,486,263,620,000 | 1,486,263,620,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,935 | lean | import tools.super
open tactic
constant nat_has_dvd : has_dvd nat
attribute [instance] nat_has_dvd
noncomputable def prime (n : ℕ) := ∀d, dvd d n → d = 1 ∨ d = n
axiom dvd_refl (m : ℕ) : dvd m m
axiom dvd_mul (m n k : ℕ) : dvd m n → dvd m (n*k)
axiom nat_mul_cancel_one (m n : ℕ) : m = m * n → n = 1
example {m n : ℕ... |
bd7a04e01f0681a75b4d5d05964f49031d409d84 | e030b0259b777fedcdf73dd966f3f1556d392178 | /tests/lean/run/coe_univ_bug.lean | 60aa0e52ad72d0421bc588f8a171707385560029 | [
"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 | 439 | lean | open nat
def below (n : nat) : nat → Prop :=
λ i, i < n
def f {n : nat} (v : subtype (below n)) : nat :=
v + 1
universe variable u
instance pred2subtype {A : Type u} : has_coe_to_sort (A → Prop) :=
⟨Type (max 1 u), (λ p : A → Prop, subtype p)⟩
instance coesubtype {A : Type u} {p : A → Prop} : has_coe (@coe_sort _ ... |
44191601b70585a2f6833ab192459185f01352ed | 25adb3ce35902d6e9c57e494fe055c47c9881db4 | /metrology/quantity_test.lean | 2791aed6be3f28c263e333988922f3cd5d3b830e | [] | no_license | rohanrajnair/phys | fefb5e430f8e4b61c2acbaecb9d1c6702495ef87 | 0172c81b24bc94e2df5e32904c9f6904d8f24da7 | refs/heads/master | 1,673,021,045,568 | 1,603,474,638,000 | 1,603,474,638,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 544 | lean | import .quantity
open quantity
open dimension
open measurementSystem
-- Examples
def oneMeter := mkQuantity BasicDimension.length si_measurement_system (1 : ℝ)
def twoSeconds := mkQuantity BasicDimension.time si_measurement_system (2 : ℝ)
def threePounds := mkQuantity BasicDimension.mass imperial_measurement_system ... |
ff7d3d8cb35dad8e196fe76b72b866d460e50b70 | abd85493667895c57a7507870867b28124b3998f | /src/category_theory/limits/shapes/binary_products.lean | 3753976353aba350ff502531b92bc056519852cc | [
"Apache-2.0"
] | permissive | pechersky/mathlib | d56eef16bddb0bfc8bc552b05b7270aff5944393 | f1df14c2214ee114c9738e733efd5de174deb95d | refs/heads/master | 1,666,714,392,571 | 1,591,747,567,000 | 1,591,747,567,000 | 270,557,274 | 0 | 0 | Apache-2.0 | 1,591,597,975,000 | 1,591,597,974,000 | null | UTF-8 | Lean | false | false | 23,197 | 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 category_theory.limits.shapes.terminal
/-!
# Binary (co)products
We define a category `walking_pair`, which is the index category
for a binary ... |
5e13c7253f0d28fefa3b196c18e637b0ac9ee71d | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/data/polynomial/degree/definitions.lean | ee1bf0b8fab00386a60cc3ea257b139a5445bcb1 | [
"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 | 39,864 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Johannes Hölzl, Scott Morrison, Jens Wagemaker
-/
import data.polynomial.monomial
import data.nat.with_bot
import data.polynomial.induction
/-!
# Theory of univariate poly... |
488c7b8f43fa5fa6eddcde0dcd08d155d4641cce | 35677d2df3f081738fa6b08138e03ee36bc33cad | /src/data/list/tfae.lean | 7b587dab341237c5f93f5306288db5b64e049cc8 | [
"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 | 1,838 | lean | /-
Copyright (c) 2018 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin, Simon Hudon
-/
import data.list.basic
namespace list
/- tfae: The Following (propositions) Are Equivalent -/
def tfae (l : list Prop) : Prop := ∀ x ∈ l, ∀ y ∈ l, x ↔ ... |
a88ffedc0a07888ecbb2e9d1b7695fe0c2ffb212 | c3f2fcd060adfa2ca29f924839d2d925e8f2c685 | /library/logic/subsingleton.lean | e75d92df861f555232c9781d92fe5c174ae52424 | [
"Apache-2.0"
] | permissive | respu/lean | 6582d19a2f2838a28ecd2b3c6f81c32d07b5341d | 8c76419c60b63d0d9f7bc04ebb0b99812d0ec654 | refs/heads/master | 1,610,882,451,231 | 1,427,747,084,000 | 1,427,747,429,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,432 | lean | /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Module: logic.subsingleton
Author: Floris van Doorn
-/
import logic.eq
inductive subsingleton [class] (A : Type) : Prop :=
intro : (∀ a b : A, a = b) → subsingleton A
namespace subsi... |
a0ba6dc19b6f42a2fd90acf28a67d79fab08a690 | 9dd3f3912f7321eb58ee9aa8f21778ad6221f87c | /tests/lean/interactive/info.lean | 265e146a973002b17cdae3539da1159ef667b87f | [
"Apache-2.0"
] | permissive | bre7k30/lean | de893411bcfa7b3c5572e61b9e1c52951b310aa4 | 5a924699d076dab1bd5af23a8f910b433e598d7a | refs/heads/master | 1,610,900,145,817 | 1,488,006,845,000 | 1,488,006,845,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 351 | lean | import init.meta.attribute
--^ "command": "info"
@[reducible]
--^ "command": "info"
def f := tt
--^ "command": "info"
set_option trace.simplify true
--^ "command": "info"
example := [tt]
--^ "command": "info"
example := [tt]++[]
--^ "command": "info"
print... |
d9c0edd1c45c67a6e86db66297f6d7fa4515f33d | 618003631150032a5676f229d13a079ac875ff77 | /src/category_theory/limits/shapes/kernels.lean | 177207d278a66edbc8464bb86408472d1d70c8a2 | [
"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 | 14,967 | lean | /-
Copyright (c) 2019 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison, Markus Himmel
-/
import category_theory.limits.shapes.zero
import category_theory.limits.shapes.equalizers
/-!
# Kernels and cokernels
In a category with zero morphis... |
b8ab9dacc9d793d9d5e49ed740f9629d7bb1a82f | 4034f8da6f54c838133a7ab6a8c0c61086c9c949 | /src/topology.lean | 68ea258dad161c937b78763c82a7f0799f7c80cb | [] | no_license | mguaypaq/lean-topology | f9e6c69e2b85cca1377ee89d75c65bd384225170 | 57b15b3862d441095e254e65009856fa922758cc | refs/heads/main | 1,691,451,271,943 | 1,631,647,691,000 | 1,631,647,691,000 | 398,682,545 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 31,191 | lean | import tactic
import data.set.basic
import data.real.basic
noncomputable theory
/-
Some set theory lemmas I couldn't find using library_search
-- do these already exist?
-- why is the autocomplete not finding all definitions in set and finset?
-- e.g. set.comp doesn't suggest set.compl
-/
@[simp] def finsInter {X : ... |
c94c4e6b516f42e74ae19ffdb496dbc6107c0db9 | 86f6f4f8d827a196a32bfc646234b73328aeb306 | /examples/sets_functions_and_relations/unnamed_736.lean | d5de8f9fc228885c1997b216f5d84b720f56da83 | [] | 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 | 175 | lean | import data.set.lattice
import data.nat.prime
open set nat
def primes : set ℕ := {x | prime x}
-- BEGIN
example : (⋃ p ∈ primes, {x | x ≤ p}) = univ :=
sorry
-- END |
4bd2b643f210ea0ed32dc7cc7b051d4e8ea45835 | 35677d2df3f081738fa6b08138e03ee36bc33cad | /src/algebra/category/CommRing/basic.lean | d3b79c37af5584b9b183b2967284948efa5bffe0 | [
"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 | 7,305 | lean | /-
Copyright (c) 2018 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison, Johannes Hölzl, Yury Kudryashov
-/
import algebra.category.Group
import category_theory.fully_faithful
import algebra.ring
import data.int.basic
import data.equiv.ring... |
b213a398e0f28296a20a3c7dfe638e744405ae03 | 2f8bf12144551bc7d8087a6320990c4621741f3d | /library/init/data/default.lean | 3c580afdd27026ac0602a1813f0e6ac8fdc458ab | [
"Apache-2.0"
] | permissive | jesse-michael-han/lean4 | eb63a12960e69823749edceb4f23fd33fa2253ce | fa16920a6a7700cabc567aa629ce4ae2478a2f40 | refs/heads/master | 1,589,935,810,594 | 1,557,177,860,000 | 1,557,177,860,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 480 | 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.data.basic init.data.nat init.data.char init.data.string
import init.data.list init.data.int init.data.array
import init.data.fin init.d... |
108ad3b2a831f168dc3e8914d27040f2e4031766 | f3849be5d845a1cb97680f0bbbe03b85518312f0 | /library/init/data/basic.lean | b82e69fb22d07549bcdaa50ce4b188bb6f09b003 | [
"Apache-2.0"
] | permissive | bjoeris/lean | 0ed95125d762b17bfcb54dad1f9721f953f92eeb | 4e496b78d5e73545fa4f9a807155113d8e6b0561 | refs/heads/master | 1,611,251,218,281 | 1,495,337,658,000 | 1,495,337,658,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 589 | 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.data.setoid init.data.quot init.data.bool.basic init.data.unit
import init.data.nat.basic init.data.prod init.data.sum.basic
import init... |
a682e5ffb0b74eeb92015c8c6ed696bbb3d177f7 | dd0f5513e11c52db157d2fcc8456d9401a6cd9da | /08_Building_Theories_and_Proofs.org.23.lean | 9c77a6f970ab3dd5538569ea2f4e376d882b870f | [] | no_license | cjmazey/lean-tutorial | ba559a49f82aa6c5848b9bf17b7389bf7f4ba645 | 381f61c9fcac56d01d959ae0fa6e376f2c4e3b34 | refs/heads/master | 1,610,286,098,832 | 1,447,124,923,000 | 1,447,124,923,000 | 43,082,433 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 334 | lean | import standard
example (p q r : Prop) : p ∧ q ∧ r → q ∧ p :=
assume Hpqr : p ∧ q ∧ r,
assert Hp : p, from and.elim_left Hpqr,
have Hqr : q ∧ r, from and.elim_right Hpqr,
assert Hq : q, from and.elim_left Hqr,
proof
-- Hp and Hq are visible here,
-- Hqr is not because we used "have".
and.intro Hq Hp
qed
|
ce9895a569d3cee38dc2c9fbe1c099d6725c4db5 | 8b9f17008684d796c8022dab552e42f0cb6fb347 | /library/data/list/set.lean | 3a3f9cb42cbc89168a79f8c12fba539938d212e5 | [
"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 | 36,319 | lean | /-
Copyright (c) 2015 Leonardo de Moura. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Module: data.list.set
Authors: Leonardo de Moura
Set-like operations on lists
-/
import data.list.basic data.list.comb
open nat function decidable helper_tactics eq.ops
namespace list
sec... |
368dec03cf6720850fee8e6bbfb6ea79f126d89f | 6b2a480f27775cba4f3ae191b1c1387a29de586e | /group_rep1/action.lean | 03a1db0e99e87827081f7e8ce9213a1dfba60e80 | [] | no_license | Or7ando/group_representation | a681de2e19d1930a1e1be573d6735a2f0b8356cb | 9b576984f17764ebf26c8caa2a542d248f1b50d2 | refs/heads/master | 1,662,413,107,324 | 1,590,302,389,000 | 1,590,302,389,000 | 258,130,829 | 0 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 2,780 | lean | import .group_representation
import .sub_module
import linear_algebra.determinant
import linear_algebra.matrix
import group_theory.group_action
import init.algebra.functions
universes u v w w'
variables {G : Type u} (R : Type v) (X : Type w) [group G] [ring R] [mul_action G X]
/--
Permutation representation : ... |
a6735832238edcdc39d64ef2fb3fe76994792c08 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/data/int/cast/lemmas.lean | bd6c39f68e89096a8be1dbb8878dbffbd172e7a4 | [
"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 | 11,096 | 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.int.order.basic
import data.nat.cast.basic
/-!
# Cast of integers (additional theorems)
This file proves additional properties about the *canonical* hom... |
4a3bea942fa29b5c15f8075150b95f65ca30088e | 827a8a5c2041b1d7f55e128581f583dfbd65ecf6 | /W_colim.hlean | a1c6550417e4d7b2b4d5d6bc2e03b695d4085aea | [
"Apache-2.0"
] | permissive | fpvandoorn/leansnippets | 6af0499f6f3fd2c07e4b580734d77b67574e7c27 | 601bafbe07e9534af76f60994d6bdf741996ef93 | refs/heads/master | 1,590,063,910,882 | 1,545,093,878,000 | 1,545,093,878,000 | 36,044,957 | 2 | 2 | null | 1,442,619,708,000 | 1,432,256,875,000 | Lean | UTF-8 | Lean | false | false | 12,573 | hlean | import hit.quotient types.W hit.trunc function
open eq quotient Wtype sigma equiv function is_equiv pi sum unit function
namespace W_colim
section
parameters (A : Type) (B : A → Type) (P : (W a, B a) → Type)
(g : Π⦃a : A⦄ {b : B a} {f : B a → W a, B a}, P (f b) → P (sup a f))
variables {a : A} (b... |
2643a079fde12b4fd161414a28e2c4266ff27b63 | 55c7fc2bf55d496ace18cd6f3376e12bb14c8cc5 | /src/geometry/manifold/mfderiv.lean | 0d712fa48280a52948a8eab7480a383711d6ff16 | [
"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 | 65,405 | lean | /-
Copyright (c) 2020 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import geometry.manifold.basic_smooth_bundle
/-!
# The derivative of functions between smooth manifolds
Let `M` and `M'` be two smooth manifolds with corners ... |
7a543d4e0adc5b9b57b447600d05d3006a7179aa | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/Lean3Lib/init/meta/environment_auto.lean | eb053b993061b999348abaefee520144abdcf39c | [] | no_license | AurelienSaue/Mathlib4_auto | f538cfd0980f65a6361eadea39e6fc639e9dae14 | 590df64109b08190abe22358fabc3eae000943f2 | refs/heads/master | 1,683,906,849,776 | 1,622,564,669,000 | 1,622,564,669,000 | 371,723,747 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,600 | lean | /-
Copyright (c) 2016 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.meta.declaration
import Mathlib.Lean3Lib.init.meta.exceptional
import Mathlib.Lean3Lib.init.data.option.... |
633b248e128b0361360415f00cff989b0ad9a211 | b3fced0f3ff82d577384fe81653e47df68bb2fa1 | /src/algebra/group/units.lean | 1c3dd6e0658947f22013231fba17893856e7850b | [
"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 | 5,608 | 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
Units (i.e., invertible elements) of a multiplicative monoid.
-/
import tactic.basic logic.function
universe u
variable {α : Type... |
fd415f17d46041fc4b6c6704349486a4019771a8 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/group_theory/submonoid/operations.lean | 22b580214bbbb90e4174bc7aef9ba694cb7364e4 | [
"Apache-2.0"
] | permissive | Vierkantor/mathlib | 0ea59ac32a3a43c93c44d70f441c4ee810ccceca | 83bc3b9ce9b13910b57bda6b56222495ebd31c2f | refs/heads/master | 1,658,323,012,449 | 1,652,256,003,000 | 1,652,256,003,000 | 209,296,341 | 0 | 1 | Apache-2.0 | 1,568,807,655,000 | 1,568,807,655,000 | null | UTF-8 | Lean | false | false | 44,660 | lean | /-
Copyright (c) 2018 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Kenny Lau, Johan Commelin, Mario Carneiro, Kevin Buzzard,
Amelia Livingston, Yury Kudryashov
-/
import group_theory.group_action.defs
import group_theory.submonoid.basi... |
a54f309cf602cb803393cedc1af8846685c39c77 | 82e44445c70db0f03e30d7be725775f122d72f3e | /src/data/nat/choose/sum.lean | bed4e514dd40ff9df91d45bd676146c45f3e32ed | [
"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 | 6,904 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Patrick Stevens
-/
import data.nat.choose.basic
import tactic.linarith
import algebra.big_operators.ring
import algebra.big_operators.intervals
import algebra.big_operators... |
a81e07c03dd0dc65f37216ef01a725e1b828bd83 | 22e97a5d648fc451e25a06c668dc03ac7ed7bc25 | /src/linear_algebra/quadratic_form.lean | a6efca957300045a53b9bc9f63994a87d26d2803 | [
"Apache-2.0"
] | permissive | keeferrowan/mathlib | f2818da875dbc7780830d09bd4c526b0764a4e50 | aad2dfc40e8e6a7e258287a7c1580318e865817e | refs/heads/master | 1,661,736,426,952 | 1,590,438,032,000 | 1,590,438,032,000 | 266,892,663 | 0 | 0 | Apache-2.0 | 1,590,445,835,000 | 1,590,445,835,000 | null | UTF-8 | Lean | false | false | 11,688 | lean | /-
Copyright (c) 2020 Anne Baanen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Anne Baanen
-/
import algebra.invertible
import linear_algebra.bilinear_form
import linear_algebra.determinant
import linear_algebra.special_linear_group
/-!
# Quadratic forms
This file... |
c85e52dd4470ecc637028da7b5032e104d77e7c9 | 7a468d7c7c0949ab8b191bb62ff6d4d2af9f3917 | /test/attribute.lean | 503641e2e3c55d34df13e7e3c0c83c625e47b41d | [
"Apache-2.0"
] | permissive | seanpm2001/LeanProver_SMT2_Interface | c15b2fba021c406d965655b182eef54a14121b82 | 7ff0ce248b68ea4db2a2d4966a97b5786da05ed7 | refs/heads/master | 1,688,599,220,366 | 1,547,825,187,000 | 1,547,825,187,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 409 | lean | import smt2
constants f g : Prop → int → int
attribute [smt2] f
attribute [smt2] g
constants x y z : int
attribute [smt2] x
attribute [smt2] y
attribute [smt2] z
constants Heq : forall (x x' : Prop) (y : int),
(x -> x') ->
f x y = g x' y
attribute [smt2] Heq
lemma uninterpreted_functions_with_attr :
f ... |
6b1353d0d27a271c52a70d9c1429470a4699ca99 | b2fe74b11b57d362c13326bc5651244f111fa6f4 | /src/algebra/ordered_monoid.lean | fa93beb8126f5bdd7ae78f9b07d478c9780c931e | [
"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 | 36,662 | lean | /-
Copyright (c) 2016 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Leonardo de Moura, Mario Carneiro, Johannes Hölzl
-/
import algebra.group.with_one
import algebra.group.type_tags
import algebra.group.prod
import algebra.order_functions... |
a67b5c140c06ff882fb0b7cf9248f58c754edebc | 704c0b4221e71a413a9270e3160af0813f426c91 | /src/refinement/tableau.lean | 79419350e95736cb950dfa8180020ca81daaccd7 | [] | no_license | CohenCyril/LP | d39b766199d2176b592ff223f9c00cdcb4d5f76d | 4dca829aa0fe94c0627410b88d9dad54e6ed2c63 | refs/heads/master | 1,596,132,000,357 | 1,568,817,913,000 | 1,568,817,913,000 | 210,310,499 | 0 | 0 | null | 1,569,229,479,000 | 1,569,229,479,000 | null | UTF-8 | Lean | false | false | 26,154 | lean | import data.matrix.pequiv data.rat.basic tactic.fin_cases data.list.min_max partition .tableau_class
open matrix fintype finset function pequiv is_tableau
local notation `rvec`:2000 n := matrix (fin 1) (fin n) ℚ
local notation `cvec`:2000 m := matrix (fin m) (fin 1) ℚ
local infix ` ⬝ `:70 := matrix.mul
local postfix ... |
e688438ac66232b9a550798982852b75ff3b480f | 94e33a31faa76775069b071adea97e86e218a8ee | /src/topology/subset_properties.lean | 981794e4b34c8e9325463dce796db0e61920150a | [
"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 | 80,562 | 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 order.filter.pi
import topology.bases
import data.finset.order
import data.set.accumulate
import tactic.tfae
import topology.b... |
f916a6ce3fee55afb6647fde45aede195c7b71e6 | e00ea76a720126cf9f6d732ad6216b5b824d20a7 | /src/algebraic_geometry/prime_spectrum.lean | fe8e4da2983a9b113c501462da19bd35f7ecfb7c | [
"Apache-2.0"
] | permissive | vaibhavkarve/mathlib | a574aaf68c0a431a47fa82ce0637f0f769826bfe | 17f8340912468f49bdc30acdb9a9fa02eeb0473a | refs/heads/master | 1,621,263,802,637 | 1,585,399,588,000 | 1,585,399,588,000 | 250,833,447 | 0 | 0 | Apache-2.0 | 1,585,410,341,000 | 1,585,410,341,000 | null | UTF-8 | Lean | false | false | 13,126 | lean | /-
Copyright (c) 2020 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin
-/
import topology.opens
import ring_theory.ideal_operations
import linear_algebra.finsupp
/-!
# Prime spectrum of a commutative ring
The prime spectrum of a commutat... |
19175287aca3eb122ca156abda06f5d14054c802 | b00eb947a9c4141624aa8919e94ce6dcd249ed70 | /stage0/src/Init/Prelude.lean | d0e20b45614143417f6e6756bde63c374f5d310b | [
"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 | 74,691 | 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
universes u v w
@[inline] def id {α : Sort u} (a : α) : α := a
/- `idRhs` is an auxiliary declaration used to implement "smart unfolding". It is ... |
936b6ff5c68a683cc17903a3f9dfd24a9b2fba4d | 5756a081670ba9c1d1d3fca7bd47cb4e31beae66 | /Mathport/Syntax/Translate/Tactic/Mathlib/RCases.lean | abeca0bd248ffd1164f4ae8538d8884df30a82a7 | [
"Apache-2.0"
] | permissive | leanprover-community/mathport | 2c9bdc8292168febf59799efdc5451dbf0450d4a | 13051f68064f7638970d39a8fecaede68ffbf9e1 | refs/heads/master | 1,693,841,364,079 | 1,693,813,111,000 | 1,693,813,111,000 | 379,357,010 | 27 | 10 | Apache-2.0 | 1,691,309,132,000 | 1,624,384,521,000 | Lean | UTF-8 | Lean | false | false | 3,028 | lean | /-
Copyright (c) 2021 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
import Mathport.Syntax.Translate.Tactic.Basic
open Lean
open Lean.Elab.Tactic (Location)
namespace Mathport.Translate.Tactic
open AST3 Mathport.Translate.Par... |
8460acb6b5437fd97d9fd313a5478564eebd4708 | bb31430994044506fa42fd667e2d556327e18dfe | /src/analysis/normed/field/basic.lean | f61097128631719f20c70aeed83e061b6aeb9a1b | [
"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 | 43,498 | lean | /-
Copyright (c) 2018 Patrick Massot. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Patrick Massot, Johannes Hölzl
-/
import algebra.algebra.subalgebra.basic
import analysis.normed.group.infinite_sum
import topology.algebra.module.basic
import topology.instances.ennre... |
5d0860d8526b265a4fe3bfedfc59263fd6efa64c | b2fe74b11b57d362c13326bc5651244f111fa6f4 | /src/algebra/free_monoid.lean | fad977937771d44be58ac380313a81f63303da4a | [
"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 | 4,953 | lean | /-
Copyright (c) 2019 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon, Yury Kudryashov
-/
import data.equiv.basic
import data.list.basic
import algebra.star.basic
/-!
# Free monoid over a given alphabet
## Main definitions
* `free_monoid α`: ... |
b0413ff56f39dd585ef9ad2375099ba454daa45b | 35960c5b117752aca7e3e7767c0b393e4dbd72a7 | /src/sch/open.lean | cc2e10170fa3fe4645230469bcbd1cf5b84e788c | [
"Apache-2.0"
] | permissive | spl/tts | 461dc76b83df8db47e4660d0941dc97e6d4fd7d1 | b65298fea68ce47c8ed3ba3dbce71c1a20dd3481 | refs/heads/master | 1,541,049,198,347 | 1,537,967,023,000 | 1,537,967,029,000 | 119,653,145 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,491 | lean | import .core
namespace tts ------------------------------------------------------------------
namespace sch ------------------------------------------------------------------
variables {V : Type} [_root_.decidable_eq V] -- Type of variable names
variables {ts : list (typ V)} -- Lists of types
variables {s : sch V} -- ... |
3222b72fb5ecebc1fcc2b0c4de1fbc2be56a1c19 | 01f6b345a06ece970e589d4bbc68ee8b9b2cf58a | /src/rank_one_valuation.lean | fdfaf4a75e89404a5f83274c289dd4727a032cc7 | [] | no_license | mariainesdff/norm_extensions_journal_submission | 6077acb98a7200de4553e653d81d54fb5d2314c8 | d396130660935464fbc683f9aaf37fff8a890baa | refs/heads/master | 1,686,685,693,347 | 1,684,065,115,000 | 1,684,065,115,000 | 603,823,641 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,760 | lean | /-
Copyright (c) 2023 María Inés de Frutos-Fernández. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: María Inés de Frutos-Fernández
-/
import data.real.nnreal
import ring_theory.valuation.basic
/-!
# Rank one valuations
We define rank one valuations and discrete valu... |
a1452c590c639111c84feb28f1016b6592fddefe | ec5a7ae10c533e1b1f4b0bc7713e91ecf829a3eb | /ijcar16/examples/cc17.lean | f5f8edba4a4173bcb71fc70959c8d54d51510ec4 | [
"MIT"
] | permissive | leanprover/leanprover.github.io | cf248934af7c7e9aeff17cf8df3c12c5e7e73f1a | 071a20d2e059a2c3733e004c681d3949cac3c07a | refs/heads/master | 1,692,621,047,417 | 1,691,396,994,000 | 1,691,396,994,000 | 19,366,263 | 18 | 27 | MIT | 1,693,989,071,000 | 1,399,006,345,000 | Lean | UTF-8 | Lean | false | false | 473 | lean | /-
Example/test file for the congruence closure procedure described in the paper:
"Congruence Closure for Intensional Type Theory"
Daniel Selsam and Leonardo de Moura
The tactic `by blast` has been configured in this file to use just
the congruence closure procedure using the command
set_option blast.strategy... |
ac97c2b0bad845266b48fe5b518fa3817a50f821 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/order/grade.lean | 1f0c44cac0b23c2fc63ffd04b6d2e8bfe204f184 | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 12,806 | lean | /-
Copyright (c) 2022 Yaël Dillies, Violeta Hernández Palacios. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yaël Dillies, Violeta Hernández Palacios, Grayson Burton, Vladimir Ivanov
-/
import data.finset.basic
import data.int.succ_pred
/-!
# Graded orders
> THIS F... |
453f5dff31fa225a8d93ed377d0cf915b49019c3 | 77c5b91fae1b966ddd1db969ba37b6f0e4901e88 | /src/algebra/group/prod.lean | e1844ece303c11e171c7b9efbbc5cde596200aca | [
"Apache-2.0"
] | permissive | dexmagic/mathlib | ff48eefc56e2412429b31d4fddd41a976eb287ce | 7a5d15a955a92a90e1d398b2281916b9c41270b2 | refs/heads/master | 1,693,481,322,046 | 1,633,360,193,000 | 1,633,360,193,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 13,123 | lean | /-
Copyright (c) 2020 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon, Patrick Massot, Yury Kudryashov
-/
import algebra.opposites
/-!
# Monoid, group etc structures on `M × N`
In this file we define one-binop (`monoid`, `group` etc) struc... |
11f4d01c1bae37d85d7239ca202c3096cb9e6763 | 367134ba5a65885e863bdc4507601606690974c1 | /src/algebra/homology/homology.lean | 57525e30040e18fe5beeb943944018a0d931c4d1 | [
"Apache-2.0"
] | permissive | kodyvajjha/mathlib | 9bead00e90f68269a313f45f5561766cfd8d5cad | b98af5dd79e13a38d84438b850a2e8858ec21284 | refs/heads/master | 1,624,350,366,310 | 1,615,563,062,000 | 1,615,563,062,000 | 162,666,963 | 0 | 0 | Apache-2.0 | 1,545,367,651,000 | 1,545,367,651,000 | null | UTF-8 | Lean | false | false | 6,709 | lean | /-
Copyright (c) 2020 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison, Markus Himmel
-/
import algebra.homology.chain_complex
import algebra.homology.image_to_kernel_map
/-!
# (Co)homology groups for complexes
We setup that part of the t... |
3786c3ca91f94fd9bf77d18184bd40e6174f49c8 | 02005f45e00c7ecf2c8ca5db60251bd1e9c860b5 | /src/data/fintype/basic.lean | ff3e91bb50a63d0f2d997b8206f1dfcc5ea2e16e | [
"Apache-2.0"
] | permissive | anthony2698/mathlib | 03cd69fe5c280b0916f6df2d07c614c8e1efe890 | 407615e05814e98b24b2ff322b14e8e3eb5e5d67 | refs/heads/master | 1,678,792,774,873 | 1,614,371,563,000 | 1,614,371,563,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 57,916 | lean | /-
Copyright (c) 2017 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Mario Carneiro
Finite types.
-/
import tactic.wlog
import data.finset.powerset
import data.finset.lattice
import data.finset.pi
import data.array.lemmas
import order.well_founded
impor... |
1c9b4c76a1f6e95ba10ec0cdc202f17dabcd8377 | 4efff1f47634ff19e2f786deadd394270a59ecd2 | /src/measure_theory/measurable_space.lean | 8408b19876c901b5eeec8594cf3684944e378148 | [
"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 | 50,978 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro
-/
import data.set.disjointed
import data.set.countable
import data.indicator_function
import data.equiv.encodable.lattice
import order.filter.basic
/-!... |
e7dc6091b1932b7af5dd93546bffd960f76260a0 | 969dbdfed67fda40a6f5a2b4f8c4a3c7dc01e0fb | /src/analysis/calculus/fderiv.lean | a78cd1f424fa52bf058310d645c289fd8a2c8976 | [
"Apache-2.0"
] | permissive | SAAluthwela/mathlib | 62044349d72dd63983a8500214736aa7779634d3 | 83a4b8b990907291421de54a78988c024dc8a552 | refs/heads/master | 1,679,433,873,417 | 1,615,998,031,000 | 1,615,998,031,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 122,126 | lean | /-
Copyright (c) 2019 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Sébastien Gouëzel, Yury Kudryashov
-/
import analysis.calculus.tangent_cone
import analysis.normed_space.units
import analysis.asymptotics.asymptotic_equivalent
import an... |
9b2d66f606ac2b67158c221dc4a61bac9eb970d8 | 32025d5c2d6e33ad3b6dd8a3c91e1e838066a7f7 | /src/Lean/Compiler/ImplementedByAttr.lean | 45d1abc4b1b5c6aedcca9b3aa3166768453d5fa0 | [
"Apache-2.0"
] | permissive | walterhu1015/lean4 | b2c71b688975177402758924eaa513475ed6ce72 | 2214d81e84646a905d0b20b032c89caf89c737ad | refs/heads/master | 1,671,342,096,906 | 1,599,695,985,000 | 1,599,695,985,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,433 | 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.MonadEnv
namespace Lean
namespace Compiler
def mkImplementedByAttr : IO (ParametricAttribute Name) :=
registerParametri... |
6abe6d6e7936f2e074302cda478da384fd910366 | b70447c014d9e71cf619ebc9f539b262c19c2e0b | /hott/homotopy/LES_of_homotopy_groups.hlean | b3c1a290f82a0931c71c1c5a0459e16308deb941 | [
"Apache-2.0"
] | permissive | ia0/lean2 | c20d8da69657f94b1d161f9590a4c635f8dc87f3 | d86284da630acb78fa5dc3b0b106153c50ffccd0 | refs/heads/master | 1,611,399,322,751 | 1,495,751,007,000 | 1,495,751,007,000 | 93,104,167 | 0 | 0 | null | 1,496,355,488,000 | 1,496,355,487,000 | null | UTF-8 | Lean | false | false | 33,109 | hlean | /-
Copyright (c) 2016 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn
We define the fiber sequence of a pointed map f : X →* Y. We mostly follow the proof in section 8.4
of the book.
PART 1:
We define a sequence fiber_sequence as in ... |
ae6d820570307c805fc6b9b146004800194582f4 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/linear_algebra/matrix/diagonal.lean | c41025b20913b0ea8705b3dc2abc9663d84d388e | [
"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 | 2,983 | 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 linear_algebra.matrix.to_lin
/-!
# Diagonal matrices
This file contains some results on the linear map correspondin... |
a14f0ca034a612fceec8d81cff0639f616194470 | 5749d8999a76f3a8fddceca1f6941981e33aaa96 | /src/order/bounds.lean | 996405631e9707ad054513906826669c3c45e685 | [
"Apache-2.0"
] | permissive | jdsalchow/mathlib | 13ab43ef0d0515a17e550b16d09bd14b76125276 | 497e692b946d93906900bb33a51fd243e7649406 | refs/heads/master | 1,585,819,143,348 | 1,580,072,892,000 | 1,580,072,892,000 | 154,287,128 | 0 | 0 | Apache-2.0 | 1,540,281,610,000 | 1,540,281,609,000 | null | UTF-8 | Lean | false | false | 15,873 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Johannes Hölzl
(Least / Greatest) upper / lower bounds
-/
import algebra.order_functions data.set.intervals.basic
open set lattice
universes u v w x
variables {α : Type u} {β : Type v... |
e03c6211bba789d6fd3b86056a172714b3bdbc9b | d7189ea2ef694124821b033e533f18905b5e87ef | /galois/vector/basic.lean | 7905923f71cb0dcb4d8a3b8971a74ef7ddd638d2 | [
"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 | 255 | lean | /- Defines very basic lemmas for vector -/
import data.vector
universe variables u
namespace vector
variable {α : Type u}
variable {n : ℕ}
@[simp]
theorem length_to_list : ∀ (x : vector α n), x.to_list.length = n
| ⟨ l, p ⟩ := p
end vector
|
72c6b462c7a8f9387075d59aeb11ded436cdd626 | 8e6cad62ec62c6c348e5faaa3c3f2079012bdd69 | /src/topology/order.lean | e620e801e765fd3eddbf0062dcdbffb8245c91ad | [
"Apache-2.0"
] | permissive | benjamindavidson/mathlib | 8cc81c865aa8e7cf4462245f58d35ae9a56b150d | fad44b9f670670d87c8e25ff9cdf63af87ad731e | refs/heads/master | 1,679,545,578,362 | 1,615,343,014,000 | 1,615,343,014,000 | 312,926,983 | 0 | 0 | Apache-2.0 | 1,615,360,301,000 | 1,605,399,418,000 | Lean | UTF-8 | Lean | false | false | 28,751 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro
-/
import topology.tactic
/-!
# Ordering on topologies and (co)induced topologies
Topologies on a fixed type `α` are ordered, by reverse inclusion.
Tha... |
5e07d1faa0738801581b0693d9b9f9b41e8f16ea | 0c9c1ff8e5013c525bf1d72338b62db639374733 | /library/init/data/list/basic.lean | e0bb15b13827231bd7bc575f32007ad53d3eb919 | [
"Apache-2.0"
] | permissive | semorrison/lean | 1f2bb450c3400098666ff6e43aa29b8e1e3cdc3a | 85dcb385d5219f2fca8c73b2ebca270fe81337e0 | refs/heads/master | 1,638,526,143,586 | 1,634,825,588,000 | 1,634,825,588,000 | 258,650,844 | 0 | 0 | Apache-2.0 | 1,587,772,955,000 | 1,587,772,954,000 | null | UTF-8 | Lean | false | false | 11,070 | lean | /-
Copyright (c) 2016 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura
-/
prelude
import init.logic init.data.nat.basic init.data.bool.basic init.propext
open decidable list
universes u v w
instance (α : Type u) : inhabited (list... |
9ecc2c99fd91b905f22b5117032a4255c5394e56 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/algebraic_geometry/projective_spectrum/structure_sheaf.lean | e68917a294a1c926d4008a3a6fe7a0873d5759f9 | [
"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 | 17,784 | lean | /-
Copyright (c) 2022 Jujian Zhang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jujian Zhang
-/
import algebraic_geometry.projective_spectrum.topology
import topology.sheaves.local_predicate
import ring_theory.graded_algebra.homogeneous_localization
import algebraic... |
7a76484ad9d2c0a4405027cc0f7205b7e5281961 | abd85493667895c57a7507870867b28124b3998f | /src/logic/embedding.lean | b3f3e41e4db0242cba4ec346b940e4e48f854b2b | [
"Apache-2.0"
] | permissive | pechersky/mathlib | d56eef16bddb0bfc8bc552b05b7270aff5944393 | f1df14c2214ee114c9738e733efd5de174deb95d | refs/heads/master | 1,666,714,392,571 | 1,591,747,567,000 | 1,591,747,567,000 | 270,557,274 | 0 | 0 | Apache-2.0 | 1,591,597,975,000 | 1,591,597,974,000 | null | UTF-8 | Lean | false | false | 9,128 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro
-/
import data.equiv.basic
/-!
# Injective functions
-/
universes u v w x
namespace function
/-- `α ↪ β` is a bundled injective function. -/
structur... |
665a26b82955fad5965816448b3f4f0669ed021c | 4727251e0cd73359b15b664c3170e5d754078599 | /src/data/multiset/powerset.lean | f712941507367c030f54098c9d85faec6f01631a | [
"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 | 9,955 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
import data.multiset.basic
/-!
# The powerset of a multiset
-/
namespace multiset
open list
variables {α : Type*}
/-! ### powerset -/
/-- A helper function for t... |
2406d5a89ef78f385b353aa89f58f85dad7a3ada | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /hott/homotopy/cylinder.hlean | 62f661c673073bd4102f70d9a03c9dbd590d0c6c | [
"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 | 3,180 | 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 mapping cylinders
-/
import hit.quotient
open quotient eq sum equiv
namespace cylinder
section
universe u
parameters {A B : Type.{u}} (f : A → B)... |
7e012d5f9332dc6484086ad6e8c5f754194cadde | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/data/polynomial/erase_lead.lean | d234581e006ea4efa73d73ff67a23d70acfd97d1 | [
"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 | 15,337 | lean | /-
Copyright (c) 2020 Damiano Testa. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Damiano Testa
-/
import algebra.big_operators.fin
import data.polynomial.degree.definitions
/-!
# Erase the leading term of a univariate polynomial
## Definition
* `erase_lead f`: th... |
f6d63912cf4f4e4c5686135384067504f5f61410 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/algebra/group/conj_auto.lean | 4e190ad49ae45d56d5a1e96981cc6f4cb77aa2c8 | [] | no_license | AurelienSaue/Mathlib4_auto | f538cfd0980f65a6361eadea39e6fc639e9dae14 | 590df64109b08190abe22358fabc3eae000943f2 | refs/heads/master | 1,683,906,849,776 | 1,622,564,669,000 | 1,622,564,669,000 | 371,723,747 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,116 | lean | /-
Copyright (c) 2018 Patrick Massot. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Patrick Massot, Chris Hughes, Michael Howes
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.algebra.group.hom
import Mathlib.data.equiv.mul_add_aut
impor... |
392d995bf57c280ab0428e169b64f05effef23a9 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/blast_cc_not_provable.lean | 0393682f68684ceacd6b84e44e3080480a96ddbb | [
"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 | 178 | lean | set_option blast.strategy "cc"
example (C : nat → Type) (f : Π n, C n → C n) (n m : nat) (c : C n) (d : C m) :
f n == f m → c == d → f n c == f m d :=
by blast
|
3eeae6a8d1af393a83288eae4b952543ef30b360 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/analysis/normed/normed_field.lean | ba363db236272e3f389311376127b964f6c476de | [
"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 | 35,947 | lean | /-
Copyright (c) 2018 Patrick Massot. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Patrick Massot, Johannes Hölzl
-/
import analysis.normed.group.infinite_sum
import topology.algebra.module.basic
import topology.instances.ennreal
import topology.instances.rat
/-!
# ... |
3bd268d6f6b14162ead08d2df3a13b3579966a22 | 28b6e1a13d35e9b450f65c001660f4ec4713aa10 | /Search/Generic/CollectFns.lean | db1799f370ce2c26bb070d9773c40d4f84714be5 | [
"Apache-2.0"
] | permissive | dselsam/search | 14e3af3261a7a70f8e5885db9722b186f96fe1f5 | 67003b859d2228d291a3873af6279c1f61430c64 | refs/heads/master | 1,684,700,794,306 | 1,614,294,810,000 | 1,614,294,810,000 | 339,578,823 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,420 | lean | /-
Copyright (c) 2021 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Daniel Selsam
-/
import Lean.Compiler.IR
import Search.Inspect.Basic
import Std.Data.HashSet
import Std.Data.HashMap
namespace Search
namespace CollectFns
open Lean
open Searc... |
06722b79365ef321c9dfaa14c156b55cd6056596 | a7eef317ddec01b9fc6cfbb876fe7ac00f205ac7 | /src/category_theory/limits/shapes/terminal.lean | 18bd1f16394d51a0609ec4bca3aa45315943cad3 | [
"Apache-2.0"
] | permissive | kmill/mathlib | ea5a007b67ae4e9e18dd50d31d8aa60f650425ee | 1a419a9fea7b959317eddd556e1bb9639f4dcc05 | refs/heads/master | 1,668,578,197,719 | 1,593,629,163,000 | 1,593,629,163,000 | 276,482,939 | 0 | 0 | null | 1,593,637,960,000 | 1,593,637,959,000 | null | UTF-8 | Lean | false | false | 3,064 | 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 category_theory.limits.shapes.finite_products
import category_theory.pempty
/-!
# Initial and terminal objects in a category.
-/
universes v u
open category... |
f5690a9387c1073540b85f0ba7e9c441df99c621 | b2fe74b11b57d362c13326bc5651244f111fa6f4 | /src/analysis/ODE/gronwall.lean | 767a09ca7ea61a92ab4bd3159d3414e1287f5e30 | [
"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 | 13,229 | 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 analysis.calculus.mean_value
import analysis.special_functions.exp_log
/-!
# Grönwall's inequality
The main technical result of this file is the Grönwall-l... |
944340231aa8df1ae07013a87250434d23eb0ca2 | 36c7a18fd72e5b57229bd8ba36493daf536a19ce | /tests/lean/run/blast16.lean | bf8aa232f732cb62ecacada8150d4f9055fff7b1 | [
"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 | 264 | lean | set_option blast.init_depth 10
set_option blast.inc_depth 100
set_option blast.trace true
example (p q : Prop) : p ∨ q → q ∨ p :=
by blast
definition lemma1 (p q r s : Prop) (a b : nat) : r ∨ s → p ∨ q → a = b → q ∨ p :=
by blast
print lemma1
|
7aae900d7f17321345efff5a55f6f119e6c37d50 | ddf69e0b8ad10bfd251aa1fb492bd92f064768ec | /src/ring_theory/algebra_tower.lean | a33db912f375ce23ac3a75a40b06c7d65e6126fd | [
"Apache-2.0"
] | permissive | MaboroshiChan/mathlib | db1c1982df384a2604b19a5e1f5c6464c7c76de1 | 7f74e6b35f6bac86b9218250e83441ac3e17264c | refs/heads/master | 1,671,993,587,476 | 1,601,911,102,000 | 1,601,911,102,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 20,794 | lean | /-
Copyright (c) 2020 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau
-/
import ring_theory.adjoin
import algebra.invertible
/-!
# Towers of algebras
We set up the basic theory of algebra towers.
An algebra tower A/S/R is expressed by having inst... |
f806d9b0b65a13459163f514ea7e4994fc108f33 | ad0c7d243dc1bd563419e2767ed42fb323d7beea | /logic/basic.lean | 066854957dc26cc777730c26590b6eee29675e8a | [
"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 | 24,760 | lean | /-
Copyright (c) 2016 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Leonardo de Moura
Theorems that require decidability hypotheses are in the namespace "decidable".
Classical versions are in the namespace "classical".
Note: in the pres... |
b572065af927f94be99c5bd9b2856b9a4c54c7a8 | 947b78d97130d56365ae2ec264df196ce769371a | /src/Lean/Meta/TransparencyMode.lean | 4cc204299c3954305c46644dc2494cc8f25254bb | [
"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 | 941 | 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
-/
namespace Lean
namespace Meta
inductive TransparencyMode
| all | default | reducible
namespace TransparencyMode
instance : Inhabited TransparencyMode := ⟨... |
d25fa67518d9ac41d26d53070bb3e7794ba4a869 | ebfc36a919e0b75a83886ec635f471d7f2dca171 | /archive/2021/Main.lean | 7c63a4665108bb116a976eee80ea10c897ddb3cc | [] | no_license | kaychaks/AoC | b933a125e2c55f632c7728eea841d827d1b5ef38 | 962cc536dda5156ac0b624f156146bf6d12ad8d2 | refs/heads/master | 1,671,715,037,914 | 1,671,632,408,000 | 1,671,632,408,000 | 160,005,656 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 82 | lean | import AoC
def main : IO Unit := do
Day1.run
Day2.run
Day3.run
#eval main
|
e68d82022727bb124ca5f09076f3a3e2d1a75730 | 80cc5bf14c8ea85ff340d1d747a127dcadeb966f | /src/data/polynomial/algebra_map.lean | c201d73a8f4c70527b6a8f8e4f523396e7adc8ff | [
"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 | 8,660 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Johannes Hölzl, Scott Morrison, Jens Wagemaker
-/
import data.polynomial.eval
/-!
# Theory of univariate polynomials
We show that `polynomial A` is an R-algebra when `A`... |
cc2e75654a08d0979bc61c016b5596157dc07402 | bb31430994044506fa42fd667e2d556327e18dfe | /src/topology/quasi_separated.lean | b4ad41e647c87af3fc98953358a7cca10e683663 | [
"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 | 5,165 | 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 topology.subset_properties
import topology.separation
import topology.noetherian_space
/-!
# Quasi-separated spaces
A topological space is quasi-separated if the i... |
ef66b203d5c694bdea9b54e51270a2dabfad8676 | a45212b1526d532e6e83c44ddca6a05795113ddc | /src/tactic/ring2.lean | a0f37107f57a5aa1056cb31341ab2769db04693f | [
"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 | 18,361 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
An experimental variant on the `ring` tactic that uses computational
reflection instead of proof generation. Useful for kernel benchmarking.
-/
import tactic.ring data.... |
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