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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
5fa59969ae40690f46ad455ae05a7050f9e01c6a | ee8cdbabf07f77e7be63a449b8483ce308d37218 | /lean/src/valid/mathd-algebra-192.lean | f901f47b83e838dd714c8172982ad62ba54b57e8 | [
"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 | 436 | 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.complex.basic
import algebra.group_power.basic
example(q e d : ℂ) (h₀ : q = 11 - (5 * complex.I)) (h₁ : e = 11 + (5 * complex.I)) (h₂ : d = 2 * complex.I) : q * e ... |
a05a41e42be9a00811446d51e2312e8f72699051 | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /stage0/src/Lean/Compiler/LCNFTypes.lean | de57f71b1aa4f09c837c57f67feea450def40c99 | [
"Apache-2.0",
"LLVM-exception",
"NCSA",
"LGPL-3.0-only",
"LicenseRef-scancode-inner-net-2.0",
"BSD-3-Clause",
"LGPL-2.0-or-later",
"Spencer-94",
"LGPL-2.1-or-later",
"HPND",
"LicenseRef-scancode-pcre",
"ISC",
"LGPL-2.1-only",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | EdAyers/lean4 | 57ac632d6b0789cb91fab2170e8c9e40441221bd | 37ba0df5841bde51dbc2329da81ac23d4f6a4de4 | refs/heads/master | 1,676,463,245,298 | 1,660,619,433,000 | 1,660,619,433,000 | 183,433,437 | 1 | 0 | Apache-2.0 | 1,657,612,672,000 | 1,556,196,574,000 | Lean | UTF-8 | Lean | false | false | 6,746 | lean | /-
Copyright (c) 2022 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Compiler.BorrowedAnnotation
import Lean.Meta.InferType
namespace Lean.Compiler
structure LCNFTypeExtState where
types : Std.PHashMap Name Ex... |
b506dd8f33f351d4eb638b50c8b58f39085e6fe8 | 6dc0c8ce7a76229dd81e73ed4474f15f88a9e294 | /tests/lean/macroscopes.lean | eaee36cc933bccc65a131ea9b3963a980966fbcf | [
"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 | 1,124 | lean |
open Lean
def check (b : Bool) : IO Unit :=
«unless» b $ throw $ IO.userError "check failed"
def test1 : IO Unit := do
let x := `x;
let x := addMacroScope `main x 1;
IO.println $ x;
let v := extractMacroScopes x;
let x := { v with name := `y }.review;
IO.println $ x;
let v := extractMacroScopes x;
let x := { v with n... |
e29db122f98bc3d5a239287711f367cd89c0bfc0 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/algebra/lie/basic.lean | d69ddaf84e3dd7311f1e4d20a3d9dfdf7eb01406 | [
"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 | 25,776 | lean | /-
Copyright (c) 2019 Oliver Nash. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Oliver Nash
-/
import data.bracket
import algebra.algebra.basic
import tactic.noncomm_ring
/-!
# Lie algebras
This file defines Lie rings and Lie algebras over a commutative ring togeth... |
e94d0751b40029e257ce8cca1d203318cace3ea2 | 57aec6ee746bc7e3a3dd5e767e53bd95beb82f6d | /src/Lean/Elab/Tactic/Induction.lean | 9448b93e8f0f430af95f59c179e7f18eb3ab4414 | [
"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 | 18,532 | 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.CollectFVars
import Lean.Parser.Term
import Lean.Meta.RecursorInfo
import Lean.Meta.CollectMVars
import Lean.Meta.Tactic... |
20bea4a802679238b015de3361038b76bb22b4fa | 4376c25f060c13471bb89cdb12aeac1d53e53876 | /src/espaces-metriques/custom/utils.lean | 51e25175d4b57b5a2bf6279952f3311ecaae3978 | [
"MIT"
] | permissive | RaitoBezarius/projet-maths-lean | 8fa7df563d64c256561ab71893c523fc1424b85c | 42356e980e021a20c3468f5ca1639fec01bb934f | refs/heads/master | 1,613,002,128,339 | 1,589,289,282,000 | 1,589,289,282,000 | 244,431,534 | 0 | 1 | MIT | 1,584,312,574,000 | 1,583,169,883,000 | TeX | UTF-8 | Lean | false | false | 774 | lean | import .defs
import .sequences
import data.set
import topology.algebra.ordered
open espace_metrique
section extra
variables {X: Type} [espace_metrique X]
/-- bornee => bounded (range x) -/
lemma bornee_est_bounded (x: ℕ → X): bornee x → ∃ M > 0, bounded (λ x y, d x y ≤ M) (set.range x) :=
begin
intro Hb,
have h: set.... |
ae35410e802538bf23ec1d36a955a75786196e2a | fe25de614feb5587799621c41487aaee0d083b08 | /src/Lean/Meta/WHNF.lean | 8cafacd9ee00f3c66fb7de16cd31ff1b40d18810 | [
"Apache-2.0"
] | permissive | pollend/lean4 | e8469c2f5fb8779b773618c3267883cf21fb9fac | c913886938c4b3b83238a3f99673c6c5a9cec270 | refs/heads/master | 1,687,973,251,481 | 1,628,039,739,000 | 1,628,039,739,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 23,337 | 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.ToExpr
import Lean.AuxRecursor
import Lean.ProjFns
import Lean.Meta.Basic
import Lean.Meta.LevelDefEq
import Lean.Meta.GetConst
import Lean.Meta... |
fa244ac476367b7d3c936f3446b12250cf13ffd4 | 77c5b91fae1b966ddd1db969ba37b6f0e4901e88 | /src/analysis/inner_product_space/basic.lean | 297378e75a7e8f79046f24adda7321be7ff731e8 | [
"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 | 76,067 | lean | /-
Copyright (c) 2019 Zhouhang Zhou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Zhouhang Zhou, Sébastien Gouëzel, Frédéric Dupuis
-/
import analysis.complex.basic
import analysis.normed_space.bounded_linear_maps
import linear_algebra.bilinear_form
import linear_alg... |
c285f14304811ebcf45626a14a9b24fcc8bebe7a | 9d2e3d5a2e2342a283affd97eead310c3b528a24 | /src/hints/thursday/afternoon/category_theory/exercise3/hint1.lean | df9c5c55286819f16b57f80fd889d7c85609e56d | [] | permissive | Vtec234/lftcm2020 | ad2610ab614beefe44acc5622bb4a7fff9a5ea46 | bbbd4c8162f8c2ef602300ab8fdeca231886375d | refs/heads/master | 1,668,808,098,623 | 1,594,989,081,000 | 1,594,990,079,000 | 280,423,039 | 0 | 0 | MIT | 1,594,990,209,000 | 1,594,990,209,000 | null | UTF-8 | Lean | false | false | 770 | lean | import for_mathlib.category_theory -- This imports some simp lemmas that I realised belong in mathlib while writing this exercise.
open category_theory
variables {C : Type*} [category C]
variables {D : Type*} [category D]
lemma equiv_reflects_mono {X Y : C} (f : X ⟶ Y) (e : C ≌ D)
(hef : mono (e.functor.map f)) : ... |
fa6764c4bf37e80c3e9f1a4b09b392276e08b6e4 | f5f7e6fae601a5fe3cac7cc3ed353ed781d62419 | /src/tactic/tidy.lean | 3e529a905cbc5c0b3faf2cc4014ed722a0179a74 | [
"Apache-2.0"
] | permissive | EdAyers/mathlib | 9ecfb2f14bd6caad748b64c9c131befbff0fb4e0 | ca5d4c1f16f9c451cf7170b10105d0051db79e1b | refs/heads/master | 1,626,189,395,845 | 1,555,284,396,000 | 1,555,284,396,000 | 144,004,030 | 0 | 0 | Apache-2.0 | 1,533,727,664,000 | 1,533,727,663,000 | null | UTF-8 | Lean | false | false | 3,080 | lean | -- Copyright (c) 2017 Scott Morrison. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Authors: Scott Morrison
import tactic
import tactic.auto_cases
import tactic.chain
import tactic.interactive
namespace tactic
namespace tidy
meta def tidy_attribute : user_attribute :=... |
ccbc1fe15c673e2a1e582aac1ec481b9122e86d4 | 367134ba5a65885e863bdc4507601606690974c1 | /src/topology/instances/nnreal.lean | 69bfc22580e95477de435c9a34a519cf758abb87 | [
"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 | 7,287 | lean | /-
Copyright (c) 2018 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin
-/
import topology.algebra.infinite_sum
import topology.algebra.group_with_zero
/-!
# Topology on `ℝ≥0`
The natural topology on `ℝ≥0` (the one induced from `ℝ`), and a... |
58954ebbf8ba5ee06e9d3b2156e138e649d4915f | 35960c5b117752aca7e3e7767c0b393e4dbd72a7 | /src/sch/default.lean | 932cafdfd9f164cfc97b56bedf2824c6a8e9b194 | [
"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 | 23 | lean | import sch.open .subst
|
21e25347b6ad78960cf3dd5113a635b67f66d32d | 3dd1b66af77106badae6edb1c4dea91a146ead30 | /tests/lean/run/e13.lean | 96efaef49a61e94aeaf66d90166f9f6cf3463e5e | [
"Apache-2.0"
] | permissive | silky/lean | 79c20c15c93feef47bb659a2cc139b26f3614642 | df8b88dca2f8da1a422cb618cd476ef5be730546 | refs/heads/master | 1,610,737,587,697 | 1,406,574,534,000 | 1,406,574,534,000 | 22,362,176 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 474 | lean | precedence `+`:65
namespace nat
variable nat : Type.{1}
variable add : nat → nat → nat
infixl + := add
end
namespace int
using nat (nat)
variable int : Type.{1}
variable add : int → int → int
infixl + := add
variable of_nat : nat → int
namespace coercions
coercion of_nat
end
end
using nat
usi... |
8ef6f2b2ede569e22759fc399219d74f6fcf377c | 77c5b91fae1b966ddd1db969ba37b6f0e4901e88 | /src/data/list/basic.lean | f21b2ca147988488227bca4f98c1b55c1f46c44b | [
"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 | 202,673 | lean | /-
Copyright (c) 2014 Parikshit Khanna. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Parikshit Khanna, Jeremy Avigad, Leonardo de Moura, Floris van Doorn, Mario Carneiro
-/
import control.monad.basic
import data.nat.basic
import algebra.group_power.basic
/-!
# Basic... |
910ab312504a894795e6fe888f7491b72a7b7565 | 6ae186a0c6ab366b39397ec9250541c9d5aeb023 | /src/category_theory/opposites_2.lean | 97aaa62ef0cee8afc03500fb7afac30f28b1a0bd | [] | no_license | ThanhPhamPhuong/lean-category-theory | 0d5c4fe1137866b4fe29ec2753d99aa0d0667881 | 968a29fe7c0b20e10d8a27e120aca8ddc184e1ea | refs/heads/master | 1,587,206,682,489 | 1,544,045,056,000 | 1,544,045,056,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 527 | lean | import category_theory.opposites
namespace category_theory
universes u₁ v₁
-- def OppositeOpposite (C : Category) : equivalence (Opposite (Opposite C)) C := sorry
-- PROJECT opposites preserve products, functors, slices.
variables {C : Type u₁} [𝒞 : category.{u₁ v₁} C]
include 𝒞
@[simp] lemma opop : @category_th... |
cd59ab8ce1299ae2dd4d50f3bbad85e23333d880 | 649957717d58c43b5d8d200da34bf374293fe739 | /src/topology/instances/ennreal.lean | c9f41a58ead5386f5c84e88823112ca381b97b8b | [
"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 | 33,284 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Johannes Hölzl
Extended non-negative reals
-/
import topology.instances.nnreal data.real.ennreal
noncomputable theory
open classical set lattice filter metric
local attribute [instance... |
a509b5145c904a730ab711348700bb3df5ef98dd | 08bd4ba4ca87dba1f09d2c96a26f5d65da81f4b4 | /src/Lean/Elab/Binders.lean | 4caa91f8d42a33116b67003c8340b0edc6648adc | [
"LLVM-exception",
"NCSA",
"LGPL-3.0-only",
"LicenseRef-scancode-inner-net-2.0",
"BSD-3-Clause",
"LGPL-2.0-or-later",
"Spencer-94",
"LGPL-2.1-or-later",
"HPND",
"LicenseRef-scancode-pcre",
"ISC",
"LGPL-2.1-only",
"Apache-2.0",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | gebner/lean4 | d51c4922640a52a6f7426536ea669ef18a1d9af5 | 8cd9ce06843c9d42d6d6dc43d3e81e3b49dfc20f | refs/heads/master | 1,685,732,780,391 | 1,672,962,627,000 | 1,673,459,398,000 | 373,307,283 | 0 | 0 | Apache-2.0 | 1,691,316,730,000 | 1,622,669,271,000 | Lean | UTF-8 | Lean | false | false | 32,503 | 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.Elab.Quotation.Precheck
import Lean.Elab.Term
import Lean.Elab.BindersUtil
namespace Lean.Elab.Term
open Meta
open Lean.Parser.Term
open TSynta... |
6f8e08af03cf504e4d4030dae893e592f263479a | 2eab05920d6eeb06665e1a6df77b3157354316ad | /src/logic/function/basic.lean | 175648dc3984ccf3d378266737f10c3c41d9a91b | [
"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 | 28,419 | lean | /-
Copyright (c) 2016 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro
-/
import logic.basic
import data.option.defs
/-!
# Miscellaneous function constructions and lemmas
-/
universes u v w
namespace function
section
var... |
0cfdbda009e6dd274691a5c81a0d38900a89a9ca | e967488e2008f07b0aa7b6b18d4398d02c7460e2 | /src/for_mathlib/stuff.lean | 8403b31fdaf86c1786019bb069062269e9564a77 | [] | no_license | thyrgle/real-number-game | 5c53eefaa815051f3d70ca5782e41d2adb76fd6e | a420eecef62209b729c910c2170d1dd27b74bc9f | refs/heads/master | 1,606,405,407,612 | 1,574,956,743,000 | 1,574,956,743,000 | 229,126,103 | 0 | 0 | null | 1,576,784,273,000 | 1,576,784,272,000 | null | UTF-8 | Lean | false | false | 555 | lean | import algebra.pointwise
-- to mathlib?
def add_comm_monoid.mk' {M : Type*} [has_add M] [has_zero M]
(add_assoc : ∀ a b c : M, a + b + c = a + (b + c))
(add_zero : ∀ a : M, a + 0 = a)
(add_comm : ∀ a b : M, a + b = b + a) :
add_comm_monoid M :=
{ add := (+),
add_assoc := add_assoc,
zero := (0),
add_zero := add_... |
fc1c44f05dd14af1a484cf7c31853f9cb819167a | 5c5878e769950eabe897ad08485b3ba1a619cea9 | /src/categories/universal/constructions/from_finite_products.lean | d3c108ec8dc56525aa96d75e75ee0ef7c9dc0264 | [
"Apache-2.0"
] | permissive | semorrison/lean-category-theory-pr | 39dc2077fcb41b438e61be1685e4cbca298767ed | 7adc8d91835e883db0fe75aa33661bc1480dbe55 | refs/heads/master | 1,583,748,682,010 | 1,535,111,040,000 | 1,535,111,040,000 | 128,731,071 | 1 | 2 | Apache-2.0 | 1,528,069,880,000 | 1,523,258,452,000 | Lean | UTF-8 | Lean | false | false | 2,292 | lean | -- Copyright (c) 2017 Scott Morrison. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Authors: Scott Morrison
import categories.universal.instances
import categories.util.Two
open category_theory
open category_theory.initial
universes u v
namespace category_theory.univ... |
2b0b88445f295e668f69d033ab9988a543b547a4 | 0845ae2ca02071debcfd4ac24be871236c01784f | /library/init/control/estate.lean | b26e42077fff8020d593217b66899eb35efd571f | [
"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 | 5,431 | 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
The combined Except and State Monad that minimizes the number
of memory allocations using the approach described in the paper
"Counting immutable beans" by Se... |
e6e4e2a09f3d448c866499989847dd043e9acce0 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/algebra/order/group/defs.lean | cd13a15851640a669eaa3c7c2eee6082021d9cfd | [
"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 | 32,095 | 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 order.hom.basic
import algebra.order.sub.defs
import algebra.order.monoid.cancel.defs
/-!
# Ordered groups
>... |
f4fb455150953e0431414d51637dc7d4b78c9fb3 | 31f556cdeb9239ffc2fad8f905e33987ff4feab9 | /stage0/src/Lean/Elab/Deriving/Inhabited.lean | ec19764cf0eb63b3f9b8a2d45b35ee731806c85a | [
"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 | 5,435 | 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
namespace Lean.Elab
open Command
open Meta
private abbrev IndexSet := RBTree Nat compare
private abbrev LocalInst2Index :=... |
cb19a19919a4964df35c7609079fcf7b4feba2bf | 6df8d5ae3acf20ad0d7f0247d2cee1957ef96df1 | /HW/hw3_terms_lambda.lean | c18f2e426d70d6a60dc46750ceb3a870316f350f | [] | no_license | derekjohnsonva/CS2102 | 8ed45daa6658e6121bac0f6691eac6147d08246d | b3f507d4be824a2511838a1054d04fc9aef3304c | refs/heads/master | 1,648,529,162,527 | 1,578,851,859,000 | 1,578,851,859,000 | 233,433,207 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 6,962 | lean | -- You can ignore this line for now, but don't remove it.
namespace hw3
/-
In this assignment, you will put into practice your new
knowledge of terms and definitions in predicate logic by
using it to implement a library of Boolean functions. You
will also gain practice using different forms of syntax
for defining func... |
4635fca6791646854688899d65f9e92e66a5c226 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/tactic/lean_core_docs.lean | a40fde6686136f598fde4561c66ea0c4a6f4c000 | [
"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 | 25,111 | lean | /-
Copyright (c) 2020 Kevin Buzzard. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kevin Buzzard, Bryan Gin-ge Chen, Robert Y. Lewis, Scott Morrison
-/
import tactic.doc_commands
/-!
# Core tactic documentation
This file adds the majority of the interactive tactics... |
57b89ad2357021fcfd749649bdfe2d6c79262586 | e0f9ba56b7fedc16ef8697f6caeef5898b435143 | /src/ring_theory/integral_closure.lean | f2cf3e99bd6ad5f95f046af95702a96328b502c7 | [
"Apache-2.0"
] | permissive | anrddh/mathlib | 6a374da53c7e3a35cb0298b0cd67824efef362b4 | a4266a01d2dcb10de19369307c986d038c7bb6a6 | refs/heads/master | 1,656,710,827,909 | 1,589,560,456,000 | 1,589,560,456,000 | 264,271,800 | 0 | 0 | Apache-2.0 | 1,589,568,062,000 | 1,589,568,061,000 | null | UTF-8 | Lean | false | false | 16,967 | lean | /-
Copyright (c) 2019 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau
-/
import ring_theory.adjoin
/-!
# Integral closure of a subring.
-/
universes u v
open_locale classical
open polynomial submodule
section
variables (R : Type u) {A : Type v}
v... |
49029697a25f1ea02d29c9f8501b3da812ca7250 | e61a235b8468b03aee0120bf26ec615c045005d2 | /tests/lean/PPRoundtrip.lean | 0d9c88bcd5d7c00a7e5968dd3ef38fd4f0845b37 | [
"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 | 2,159 | lean | import Init.Lean
open Lean
open Lean.Elab
open Lean.Elab.Term
open Lean.Format
def check (stx : TermElabM Syntax) (optionsPerPos : OptionsPerPos := {}) : TermElabM Unit := do
stx ← stx;
opts ← getOptions;
e ← elabTermAndSynthesize stx none <* throwErrorIfErrors;
stx' ← liftMetaM stx $ delab e opts optionsPerPos;
stx' ... |
7ae05f5c0d6af311d56c29673ddc15b63cfd8272 | efce24474b28579aba3272fdb77177dc2b11d7aa | /src/for_mathlib/data_set_basic.lean | 89ad7a0280e66b8fa482432496894b96a37eceae | [
"Apache-2.0"
] | permissive | rwbarton/lean-homotopy-theory | cff499f24268d60e1c546e7c86c33f58c62888ed | 39e1b4ea1ed1b0eca2f68bc64162dde6a6396dee | refs/heads/lean-3.4.2 | 1,622,711,883,224 | 1,598,550,958,000 | 1,598,550,958,000 | 136,023,667 | 12 | 6 | Apache-2.0 | 1,573,187,573,000 | 1,528,116,262,000 | Lean | UTF-8 | Lean | false | false | 352 | lean | import data.set.basic
universes u v w
open set
lemma factors_iff {α : Type u} {β : Type v} {γ : Type w} (f : α → γ) (g : β → γ) :
(∃ h, f = g ∘ h) ↔ range f ⊆ range g :=
⟨by rintros ⟨h, rfl⟩ _ ⟨a, rfl⟩; use h a,
λ H, by choose h hh using H; exact ⟨λ a, h ⟨a, rfl⟩, funext $ λ a, (hh ⟨a, rfl⟩).symm⟩⟩
|
bf4efe21b52d38c6ba6525691b985cb11037c712 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/category_theory/category/ulift.lean | 797eb1905a94091f5f24aa4e9a24258934e7271f | [
"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 | 6,263 | lean | /-
Copyright (c) 2021 Adam Topaz. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Adam Topaz
-/
import category_theory.category
import category_theory.equivalence
import category_theory.filtered
/-!
# Basic API for ulift
This file contains a very basic API for working... |
16ec6e1ad2809f860861e90a9d196d5362abf22a | 4727251e0cd73359b15b664c3170e5d754078599 | /src/category_theory/simple.lean | bbca168d6d05f171e852ac247d27f648b1d8cfe5 | [
"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 | 8,438 | 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_morphisms
import category_theory.limits.shapes.kernels
import category_theory.abelian.basic
import category_t... |
d2c1a9076b294dd773140731c52a1e06fa4d23ce | bb31430994044506fa42fd667e2d556327e18dfe | /src/analysis/p_series.lean | d5feac20069b591cab41ac1c8d611819894ac196 | [
"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 | 13,034 | lean | /-
Copyright (c) 2020 Yury G. Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury G. Kudryashov
-/
import analysis.special_functions.pow
/-!
# Convergence of `p`-series
In this file we prove that the series `∑' k in ℕ, 1 / k ^ p` converges if and only if ... |
bbb2edd63d7540c1e5a5833996837f356a12f663 | df7bb3acd9623e489e95e85d0bc55590ab0bc393 | /lean/love05_inductive_predicates_exercise_solution.lean | d40aa51f6bbe7aa95f75fe66cab3954e3a348a14 | [] | no_license | MaschavanderMarel/logical_verification_2020 | a41c210b9237c56cb35f6cd399e3ac2fe42e775d | 7d562ef174cc6578ca6013f74db336480470b708 | refs/heads/master | 1,692,144,223,196 | 1,634,661,675,000 | 1,634,661,675,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,336 | lean | import .love05_inductive_predicates_demo
/- # LoVe Exercise 5: Inductive Predicates -/
set_option pp.beta true
set_option pp.generalized_field_notation false
namespace LoVe
/- ## Question 1: Even and Odd
The `even` predicate is true for even numbers and false for odd numbers. -/
#check even
/- We define `odd`... |
343dc066931f20f313300f34a364e2ef4a4a5869 | 9cba98daa30c0804090f963f9024147a50292fa0 | /old/geom3d_stamped_test2.lean | ce0323308143c83b47b56394448e663cc48b90cc | [] | no_license | kevinsullivan/phys | dcb192f7b3033797541b980f0b4a7e75d84cea1a | ebc2df3779d3605ff7a9b47eeda25c2a551e011f | refs/heads/master | 1,637,490,575,500 | 1,629,899,064,000 | 1,629,899,064,000 | 168,012,884 | 0 | 3 | null | 1,629,644,436,000 | 1,548,699,832,000 | Lean | UTF-8 | Lean | false | false | 2,199 | lean | import .geom3d_series
import tactic.linarith
def ts := time_std_space
def world_fr := geom3d_std_frame
def world := geom3d_std_space
def bl_fr :=
let origin := mk_position3d world 1.000000 2.000000 3.000000 in
let basis0 := mk_displacement3d world 4.000000 3.000000 2.000000 in
let basis1 := mk_displacement3d wor... |
4e98056063f946c618d3ddbcc760c7f5cb52fcfe | 2d2554d724f667419148b06acf724e2702ada7c9 | /src/main.lean | 1e95fdf3aa1cc34e6687cf2845f4df952d8108ce | [] | no_license | hediet/lean-linear-integer-equation-solver | 64591803a01d38dba8599c5bde3e88446a2dca28 | 1a83fa7935b4411618c4edcdee7edb5c4a6678a7 | refs/heads/master | 1,677,680,410,160 | 1,612,962,170,000 | 1,612,962,170,000 | 337,718,062 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 5,546 | lean | import .definitions
import data.bool
import data.int.gcd
import tactic
@[simp]
theorem rdiv_cons (a: ℤ) (as: list ℤ) (f: ℤ): rdiv (a :: as) f = ((a / f) :: rdiv as f) :=
by simp [rdiv]
@[simp]
theorem rdiv_length (as: list ℤ) (f: ℤ): (rdiv as f).length = as.length :=
by simp [rdiv]
@[simp]
theorem rmul_cons (a: ℤ) (... |
3584b94231c92b63ea872732cdf16df8f60e2f82 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/category_theory/subterminal.lean | 0d523650bed4182be5d43dc5ac84fe58886cf981 | [
"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 | 6,173 | lean | /-
Copyright (c) 2020 Bhavik Mehta. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Bhavik Mehta
-/
import category_theory.limits.shapes.binary_products
import category_theory.limits.shapes.terminal
import category_theory.subobject.mono_over
/-!
# Subterminal objects
... |
65e98ef86bf971566a2288dad6465c790aa17a2d | a45212b1526d532e6e83c44ddca6a05795113ddc | /src/tactic/monotonicity/lemmas.lean | 7132b059338c261a99497f01f7c4fd33c725cbfa | [
"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 | 1,625 | lean |
import tactic.monotonicity.basic
variables {α : Type*}
@[mono]
lemma mul_mono_nonneg {x y z : α} [ordered_semiring α]
(h' : 0 ≤ z)
(h : x ≤ y)
: x * z ≤ y * z :=
by apply mul_le_mul_of_nonneg_right; assumption
lemma gt_of_mul_lt_mul_neg_right {a b c : α} [linear_ordered_ring α]
(h : a * c < b * c) (hc : c ≤ ... |
e0f980e1dcb3f15874962ccc8e07aa997e10c69a | 2f8bf12144551bc7d8087a6320990c4621741f3d | /library/init/data/array/basic.lean | 693978f3ece012b66d8a1cdb536b1d41fa2f4dfe | [
"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 | 12,748 | 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 init.data.fin.basic init.data.uint
import init.data.repr init.data.tostring init.control.id
universes u v w
/-
The Compi... |
8632a0aff9dd8f83062a1117e4dd100340249878 | 367134ba5a65885e863bdc4507601606690974c1 | /src/algebraic_topology/simplex_category.lean | 95a8922384334e56d7c55951e161588338f26ff4 | [
"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 | 10,160 | lean | /-
Copyright (c) 2020 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin, Scott Morrison
-/
import order.category.NonemptyFinLinOrd
import category_theory.skeletal
import data.finset.sort
import tactic.linarith
/-! # The simplex category
W... |
da4f51e3addb01220f04dc17103971a3e5cbd5b8 | 4e3bf8e2b29061457a887ac8889e88fa5aa0e34c | /lean/love02_tactical_proofs_exercise_solution.lean | a4a9a987ba374e333215a40881b134c5801999ec | [] | no_license | mukeshtiwari/logical_verification_2019 | 9f964c067a71f65eb8884743273fbeef99e6503d | 16f62717f55ed5b7b87e03ae0134791a9bef9b9a | refs/heads/master | 1,619,158,844,208 | 1,585,139,500,000 | 1,585,139,500,000 | 249,906,380 | 0 | 0 | null | 1,585,118,728,000 | 1,585,118,727,000 | null | UTF-8 | Lean | false | false | 4,229 | lean | /- LoVe Exercise 2: Tactical Proofs -/
import .love02_tactical_proofs_demo
namespace LoVe
/- Question 1: Connectives and Quantifiers -/
/- 1.1. Carry out the following proofs using basic tactics. -/
lemma I (a : Prop) :
a → a :=
begin
intro ha,
exact ha
end
lemma K (a b : Prop) :
a → b → b :=
begin
int... |
e38cb097ac2c6669c9bf2ed4fbbca74ba6607611 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/lift_coe_off.lean | 234d308c48b1161932f86c46186e7e54083c1045 | [
"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 | 395 | lean | open nat
inductive tree (A : Type)
| leaf : A → tree
| node : tree → tree → tree
-- set_option elaborator.lift_coercions false
definition size {A : Type} (t : tree A) :nat:=
tree.rec (λ a, 1) (λ t₁ t₂ n₁ n₂, n₁ + n₂) t
--set_option elaborator.lift_coercions true
definition size2 {A : Type} (t : tree A) :nat:=
tree... |
b50a76ccacce52346a337e295e5d39afec892c6a | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/algebra/quaternion_basis.lean | deeee0cd9c99731377625e3b1e12a554c80271f4 | [
"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 | 6,062 | 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.quaternion
import tactic.ring
/-!
# Basis on a quaternion-like algebra
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file require a corr... |
4e1c03b442dd6fd47936c595f14d829523671593 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/topology/metric_space/antilipschitz.lean | 52ada607753835438d003e1d763dc649d375ad1d | [
"Apache-2.0"
] | permissive | jjgarzella/mathlib | 96a345378c4e0bf26cf604aed84f90329e4896a2 | 395d8716c3ad03747059d482090e2bb97db612c8 | refs/heads/master | 1,686,480,124,379 | 1,625,163,323,000 | 1,625,163,323,000 | 281,190,421 | 2 | 0 | Apache-2.0 | 1,595,268,170,000 | 1,595,268,169,000 | null | UTF-8 | Lean | false | false | 7,804 | 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 topology.metric_space.lipschitz
import topology.uniform_space.complete_separated
/-!
# Antilipschitz functions
We say that a map `f : α → β` between two (e... |
04668e05e392f5ea2d21c6cf90bfb178aa2d7903 | 6dc0c8ce7a76229dd81e73ed4474f15f88a9e294 | /tests/lean/run/toExpr.lean | 497eda32587ece0a7fa8994af0ff76ce4cbd773c | [
"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 | 816 | lean | import Lean
open Lean
unsafe def test {α : Type} [ToString α] [ToExpr α] [BEq α] (a : α) : CoreM Unit := do
let env ← getEnv;
let auxName := `_toExpr._test;
let decl := Declaration.defnDecl {
name := auxName,
levelParams := [],
value := toExpr a,
type := toTypeExpr α,
hints := Redu... |
545c5cec9314b987f5323825489581a14274965c | bb31430994044506fa42fd667e2d556327e18dfe | /src/data/list/count.lean | a26f76e73b4c8eb5263c3eec6a7ae70914debac2 | [
"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 | 9,939 | lean | /-
Copyright (c) 2014 Parikshit Khanna. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Parikshit Khanna, Jeremy Avigad, Leonardo de Moura, Floris van Doorn, Mario Carneiro
-/
import data.list.big_operators.basic
/-!
# Counting in lists
> THIS FILE IS SYNCHRONIZED WIT... |
92e736763e9034db43452cffb03deb90d95851ce | 5749d8999a76f3a8fddceca1f6941981e33aaa96 | /src/topology/instances/real.lean | d55ce05b1e5c08f38e2bf9fbf256e1a7da69e629 | [
"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 | 14,908 | 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
The real numbers ℝ.
They are constructed as the topological completion of ℚ. With the following steps:
(1) prove that ℚ forms a uniform space.
(2) subt... |
5ebf3f091dc83ced667c1c032e9bc8d3000c2338 | 3dd1b66af77106badae6edb1c4dea91a146ead30 | /tests/lean/run/tactic20.lean | 79b870a86f0a50afae638ba74119d3d617e2041a | [
"Apache-2.0"
] | permissive | silky/lean | 79c20c15c93feef47bb659a2cc139b26f3614642 | df8b88dca2f8da1a422cb618cd476ef5be730546 | refs/heads/master | 1,610,737,587,697 | 1,406,574,534,000 | 1,406,574,534,000 | 22,362,176 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 172 | lean | import standard
using tactic
definition assump := eassumption
theorem tst {A : Type} {a b c : A} (H1 : a = b) (H2 : b = c) : a = c
:= by apply trans; assump; assump
|
6808a63d12254981a97c1ff316f864e3b7fa42f5 | 69d4931b605e11ca61881fc4f66db50a0a875e39 | /src/linear_algebra/quadratic_form.lean | b893fdd0461bd89b1d17801f292ef2635d414557 | [
"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 | 30,536 | lean | /-
Copyright (c) 2020 Anne Baanen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Anne Baanen
-/
import algebra.invertible
import linear_algebra.bilinear_form
import linear_algebra.matrix.determinant
import linear_algebra.special_linear_group
/-!
# Quadratic forms
T... |
da7dc936419b1e4c25036793787dc30a59ee8cdf | 556aeb81a103e9e0ac4e1fe0ce1bc6e6161c3c5e | /src/starkware/cairo/common/cairo_secp/verification/verification/signature_recover_public_key_call_recover_public_key_soundness.lean | 745e0596c0c215bc59b606dd17f721d4aaf1fee7 | [] | permissive | starkware-libs/formal-proofs | d6b731604461bf99e6ba820e68acca62a21709e8 | f5fa4ba6a471357fd171175183203d0b437f6527 | refs/heads/master | 1,691,085,444,753 | 1,690,507,386,000 | 1,690,507,386,000 | 410,476,629 | 32 | 9 | Apache-2.0 | 1,690,506,773,000 | 1,632,639,790,000 | Lean | UTF-8 | Lean | false | false | 8,516 | lean | /-
File: signature_recover_public_key_call_recover_public_key_soundness.lean
Autogenerated file.
-/
import starkware.cairo.lean.semantics.soundness.hoare
import .signature_recover_public_key_code
import ..signature_recover_public_key_spec
import .signature_recover_public_key_recover_public_key_soundness
open tactic
o... |
de492ceb8ed4264bd2c7c44e7de28b6e5b36d210 | f7315930643edc12e76c229a742d5446dad77097 | /tests/lean/run/tactic11.lean | 32e9e1bedf3a180f88ad5aeddc5bbe330cc76e43 | [
"Apache-2.0"
] | permissive | bmalehorn/lean | 8f77b762a76c59afff7b7403f9eb5fc2c3ce70c1 | 53653c352643751c4b62ff63ec5e555f11dae8eb | refs/heads/master | 1,610,945,684,489 | 1,429,681,220,000 | 1,429,681,449,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 539 | lean | import logic
theorem tst (a b : Prop) (H : a ↔ b) : b ↔ a
:= have H1 [visible] : a → b, -- We need to mark H1 as fact, otherwise it is not visible by tactics
from iff.elim_left H,
by rapply iff.intro;
intro Ha;
apply (H1 Ha);
intro Hb;
apply (iff.elim_right H Hb)
theorem tst2 (a b : ... |
76688bacde6027e2c1780cf7c4560c565517d862 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/topology/locally_finite.lean | 5d11f12bb8dba603ab1a0e5278847f41f2cac6e7 | [
"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 | 10,328 | lean | /-
Copyright (c) 2022 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov
-/
import topology.continuous_on
import order.filter.small_sets
/-!
### Locally finite families of sets
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to t... |
e156383c94a276e55c9db5fd7f9df64394dda2e0 | 5ec8f5218a7c8e87dd0d70dc6b715b36d61a8d61 | /integers.lean | 3883388a4d489a215716b0ada558600353cf1565 | [] | no_license | mbrodersen/kremlin | f9f2f9dd77b9744fe0ffd5f70d9fa0f1f8bd8cec | d4665929ce9012e93a0b05fc7063b96256bab86f | refs/heads/master | 1,624,057,268,130 | 1,496,957,084,000 | 1,496,957,084,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 6,836 | lean | import .archi .lib .word
namespace integers
open word
/- * Specialization to integers of size 8, 32, and 64 bits -/
def W8 : ℕ+ := ⟨8, dec_trivial⟩
def W16 : ℕ+ := ⟨16, dec_trivial⟩
def W32 : ℕ+ := ⟨32, dec_trivial⟩
def W64 : ℕ+ := ⟨64, dec_trivial⟩
def ptrofs.wordsize : ℕ+ := if archi.ptr64 then W64 else W32
def b... |
c88fa856faef766684d618ce09b568088b1f83a2 | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/data/mv_polynomial/rename.lean | 6b26b86e715fddd7db8d30240286d921a650e5e8 | [
"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 | 8,272 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Johan Commelin, Mario Carneiro
-/
import data.mv_polynomial.basic
/-!
# Renaming variables of polynomials
This file establishes the `rename` operation on multivariat... |
d0e083b22e3cdc5c786c838ae0bcdb339dd343af | c777c32c8e484e195053731103c5e52af26a25d1 | /src/number_theory/modular.lean | 901c51743781cf111592c8e7f22fc64d74ff82d7 | [
"Apache-2.0"
] | permissive | kbuzzard/mathlib | 2ff9e85dfe2a46f4b291927f983afec17e946eb8 | 58537299e922f9c77df76cb613910914a479c1f7 | refs/heads/master | 1,685,313,702,744 | 1,683,974,212,000 | 1,683,974,212,000 | 128,185,277 | 1 | 0 | null | 1,522,920,600,000 | 1,522,920,600,000 | null | UTF-8 | Lean | false | false | 23,720 | lean | /-
Copyright (c) 2021 Alex Kontorovich and Heather Macbeth and Marc Masdeu. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Alex Kontorovich, Heather Macbeth, Marc Masdeu
-/
import analysis.complex.upper_half_plane.basic
import analysis.normed_space.finite_dimension
im... |
118e525b1fb5a60c80226de67a2c5f1d983adf87 | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/tactic/congr.lean | 30ac94d547565953a0d4799049fc75a45d0e6e53 | [
"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 | 7,626 | lean | /-
Copyright (c) 2020 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn
-/
import tactic.lint
import tactic.ext
/-!
# Congruence and related tactics
This file contains the tactic `congr'`, which is an extension of `congr`, and various ... |
364adc6e2cbb548f7869d1157220cc830da2eaf3 | 6b45072eb2b3db3ecaace2a7a0241ce81f815787 | /data/pfun.lean | d8cc003a7abf813f4ec4be60421663bdae30b5cc | [] | no_license | avigad/library_dev | 27b47257382667b5eb7e6476c4f5b0d685dd3ddc | 9d8ac7c7798ca550874e90fed585caad030bbfac | refs/heads/master | 1,610,452,468,791 | 1,500,712,839,000 | 1,500,713,478,000 | 69,311,142 | 1 | 0 | null | 1,474,942,903,000 | 1,474,942,902,000 | null | UTF-8 | Lean | false | false | 6,953 | 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.set ..data.set.basic
universes u v w
structure roption (α : Type u) : Type u :=
(dom : Prop)
(get : dom → α)
namespace roption
variables {α : Type u} {β... |
4c18d85df25f3dc7bfd9767f6afe6b973df8c4b2 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/category_theory/sites/cover_lifting.lean | 036be85edc0a1c21b972ca4ccc65024b1c2a0862 | [
"Apache-2.0"
] | permissive | AntoineChambert-Loir/mathlib | 64aabb896129885f12296a799818061bc90da1ff | 07be904260ab6e36a5769680b6012f03a4727134 | refs/heads/master | 1,693,187,631,771 | 1,636,719,886,000 | 1,636,719,886,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 10,827 | 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 category_theory.sites.sheaf
import category_theory.limits.kan_extension
/-!
# Cover-lifting functors between sites.
We define cover-lifting functors between sites ... |
9acacbcb2fa22785750e119480fb009df010dc1a | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/topology/sheaves/sheafify.lean | 406f9bb97f780a3a4fcd371ac6a8457a32a481dd | [
"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 | 4,318 | lean | /-
Copyright (c) 2020 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import topology.sheaves.local_predicate
import topology.sheaves.stalks
/-!
# Sheafification of `Type` valued presheaves
We construct the sheafification of a `Type` ... |
7d94ba545d7efe0dfbe1a71f73ca527ca5b3bd0f | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/data/multiset/fold.lean | 52e32e27cd3dc42cb94ab365f9564138fd943133 | [] | no_license | AurelienSaue/Mathlib4_auto | f538cfd0980f65a6361eadea39e6fc639e9dae14 | 590df64109b08190abe22358fabc3eae000943f2 | refs/heads/master | 1,683,906,849,776 | 1,622,564,669,000 | 1,622,564,669,000 | 371,723,747 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,744 | 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 Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.data.multiset.erase_dup
import Mathlib.PostPort
universes u_1 u_2
namespace Mathlib
/-!
... |
79de6b2452a52c6e65b57e0600dd0ee4831e309e | 4727251e0cd73359b15b664c3170e5d754078599 | /counterexamples/char_p_zero_ne_char_zero.lean | cc29182b28553904badd93fecf1f68dfab1800b1 | [
"Apache-2.0"
] | permissive | Vierkantor/mathlib | 0ea59ac32a3a43c93c44d70f441c4ee810ccceca | 83bc3b9ce9b13910b57bda6b56222495ebd31c2f | refs/heads/master | 1,658,323,012,449 | 1,652,256,003,000 | 1,652,256,003,000 | 209,296,341 | 0 | 1 | Apache-2.0 | 1,568,807,655,000 | 1,568,807,655,000 | null | UTF-8 | Lean | false | false | 1,035 | lean | /-
Copyright (c) 2022 Damiano Testa. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Damiano Testa, Eric Wieser
-/
import algebra.char_p.basic
/-! # `char_p R 0` and `char_zero R` need not coincide for semirings
For rings, the two notions coincide.
In fact, `char_p.o... |
fec003aa02f387b6383ea06651093076c0887204 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/Lean3Lib/init/meta/module_info.lean | a7cdbe95becbe22eab90346c6c3a178baed092ac | [] | 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 | 367 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gabriel Ebner
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.meta.environment
import Mathlib.Lean3Lib.init.meta.tactic
namespace Mathlib
/-- Information about a curr... |
defc564fd4dd315f6aec9ef5d865639e3f8b7175 | 35677d2df3f081738fa6b08138e03ee36bc33cad | /src/category_theory/functor_category.lean | c42cb968366ba41da7e952a9a8bfef0744dd5124 | [
"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 | 4,148 | lean | /-
Copyright (c) 2017 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Tim Baumann, Stephen Morgan, Scott Morrison, Floris van Doorn
-/
import category_theory.natural_transformation
namespace category_theory
universes v₁ v₂ v₃ u₁ u₂ u₃ -- declare the `v... |
222857929126eb41bf04884fa68a2a508f33dbbd | a0e23cfdd129a671bf3154ee1a8a3a72bf4c7940 | /tests/lean/doSeqRightIssue.lean | b864eba36d6a60101d107ed08b1bf6438432fcb3 | [
"Apache-2.0"
] | permissive | WojciechKarpiel/lean4 | 7f89706b8e3c1f942b83a2c91a3a00b05da0e65b | f6e1314fa08293dea66a329e05b6c196a0189163 | refs/heads/master | 1,686,633,402,214 | 1,625,821,189,000 | 1,625,821,258,000 | 384,640,886 | 0 | 0 | Apache-2.0 | 1,625,903,617,000 | 1,625,903,026,000 | null | UTF-8 | Lean | false | false | 301 | lean | --
set_option autoBoundImplicitLocal false
universe u
variable {α : Type u}
variable {β : α → Type v}
theorem ex {p₁ p₂ : Sigma (fun a => β a)} (h₁ : p₁.1 = p₂.1) (h : p₁.2 ≅ p₂.2) : p₁ = p₂ :=
match p₁, p₂, h₁, h with
| ⟨_, _⟩, ⟨_, _⟩, rfl, HEq.refl _ => rfl
|
a1e4ea177c1449ad992cc02c4d8dfd4e716be2d3 | 35677d2df3f081738fa6b08138e03ee36bc33cad | /src/category_theory/equivalence.lean | 330addfa3f2505efcc5871c9d142b45071e9d8c4 | [
"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 | 15,205 | lean | /-
Copyright (c) 2017 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Tim Baumann, Stephen Morgan, Scott Morrison, Floris van Doorn
-/
import category_theory.fully_faithful
import category_theory.whiskering
import category_theory.natural_isomorphism
impo... |
54aa0c033d48839bec2edf2a4a79de534e61bb3d | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /doc/examples/NFM2022/nfm2.lean | 591ba9920f26e3f1c74598a507ef7fccf7a8a7bc | [
"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 | 312 | lean | /- First-class functions -/
def twice (f : Nat → Nat) (a : Nat) :=
f (f a)
#check twice
-- (Nat → Nat) → Nat → Nat
#eval twice (fun x => x + 2) 10
theorem twice_add_2 (a : Nat) : twice (fun x => x + 2) a = a + 4 := rfl
-- `(· + 2)` is syntax sugar for `(fun x => x + 2)`.
#eval twice (· + 2) 10
|
d8451905029defb5ef8d6aefc66915bec897c429 | 57aec6ee746bc7e3a3dd5e767e53bd95beb82f6d | /src/Init/System/FilePath.lean | 59e66a974b3a1bf977be79fd66b4598b27563095 | [
"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 | 1,620 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
prelude
import Init.System.Platform
import Init.Data.String.Basic
namespace System
namespace FilePath
open Platform
/-- The character that separates direc... |
b9ac9fd31aa61cf20722093daa2645f2ee77db71 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/analysis/calculus/lagrange_multipliers.lean | c3afa9a53c42293d3c4eb63d2351c179d3f3b72c | [
"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 | 7,944 | lean | /-
Copyright (c) 2021 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov
-/
import analysis.calculus.inverse
import linear_algebra.dual
/-!
# Lagrange multipliers
In this file we formalize the
[Lagrange multipliers](https://en.wikipedia.o... |
6fab240ace6d99bc923efb952414c861d287cc2a | d642a6b1261b2cbe691e53561ac777b924751b63 | /src/data/opposite.lean | 7e1f001544cee834b099d3ce63bb15b68a2d4735 | [
"Apache-2.0"
] | permissive | cipher1024/mathlib | fee56b9954e969721715e45fea8bcb95f9dc03fe | d077887141000fefa5a264e30fa57520e9f03522 | refs/heads/master | 1,651,806,490,504 | 1,573,508,694,000 | 1,573,508,694,000 | 107,216,176 | 0 | 0 | Apache-2.0 | 1,647,363,136,000 | 1,508,213,014,000 | Lean | UTF-8 | Lean | false | false | 3,280 | lean | /-
Copyright (c) 2018 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison, Reid Barton, Simon Hudon, Kenny Lau
Opposites.
-/
import data.list.defs
universes v u -- declare the `v` first; see `category_theory.category` for an explanation
vari... |
738f29168ecccdb6afea7a97320f681cc60c3f92 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/data/real/cardinality.lean | 4962d4a1e702a88abc44d7a91f2221c6669b08c2 | [
"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 | 9,568 | lean | /-
Copyright (c) 2019 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn
-/
import set_theory.continuum
import analysis.specific_limits
import data.rat.denumerable
import data.set.intervals.image_preimage
/-!
# The cardinality of the rea... |
a5af793805bf139e07972640547b3781638c2f83 | 3dc4623269159d02a444fe898d33e8c7e7e9461b | /.github/workflows/group-representation/equivalence.lean | c346c5e46d50bc20419e2ae5fa5c8b073664124a | [] | no_license | Or7ando/lean | cc003e6c41048eae7c34aa6bada51c9e9add9e66 | d41169cf4e416a0d42092fb6bdc14131cee9dd15 | refs/heads/master | 1,650,600,589,722 | 1,587,262,906,000 | 1,587,262,906,000 | 255,387,160 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,642 | lean | import linear_algebra.basic
import algebra.group.hom
import group_representation
universe variables u v w w'
open group
open linear_map
open linear_equiv
open submodule
open MY_TEST group_representation
open linear_map.general_linear_group
/-
But montrer que l'on peut construire une équivalence à partir d'un... |
c4f358742322cb1991437c62ec39c1cbec550579 | 7cef822f3b952965621309e88eadf618da0c8ae9 | /src/topology/uniform_space/separation.lean | 10458523794142c4a2ae955318a9ef084d72754d | [
"Apache-2.0"
] | permissive | rmitta/mathlib | 8d90aee30b4db2b013e01f62c33f297d7e64a43d | 883d974b608845bad30ae19e27e33c285200bf84 | refs/heads/master | 1,585,776,832,544 | 1,576,874,096,000 | 1,576,874,096,000 | 153,663,165 | 0 | 2 | Apache-2.0 | 1,544,806,490,000 | 1,539,884,365,000 | Lean | UTF-8 | Lean | false | false | 13,698 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Patrick Massot
Hausdorff properties of uniform spaces. Separation quotient.
-/
import topology.uniform_space.basic
open filter topological_space lattice set classical... |
04274871a3e4ba53c8d5425bd3a00b598cbbb4a6 | 958488bc7f3c2044206e0358e56d7690b6ae696c | /lean/hhg/Z.lean | 52193abf51006030eabab46066e322253a5a58ae | [] | no_license | possientis/Prog | a08eec1c1b121c2fd6c70a8ae89e2fbef952adb4 | d4b3debc37610a88e0dac3ac5914903604fd1d1f | refs/heads/master | 1,692,263,717,723 | 1,691,757,179,000 | 1,691,757,179,000 | 40,361,602 | 3 | 0 | null | 1,679,896,438,000 | 1,438,953,859,000 | Coq | UTF-8 | Lean | false | false | 4,972 | lean | open prod
open nat
def equiv (p q : ℕ × ℕ) : Prop := fst p + snd q = fst q + snd p
lemma L₁ : ∀ (n m:ℕ), succ n = succ m → n = m :=
begin
intros n m H₁, cases H₁, refl
end
lemma L₂ : ∀ (n m p:ℕ), n + p = m + p → n = m :=
begin
intros n m p, revert n m, induction p with p IH; intros n m H₁,
{ assumption },
... |
9e3a528201f114bcfa5f1ef66166741f598288ad | 618003631150032a5676f229d13a079ac875ff77 | /test/rewrite.lean | 7bf6af43117b47934bbee918fd077ece9159c9d7 | [
"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 | 1,414 | 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.rewrite
import init_.data.nat.lemmas
open tactic
example : ∀ x y z a b c : ℕ, true :=
begin
intros,
have : x + (y + z) = 3 + y, admit,
have : a + (b + x) ... |
d538fe6b2e72c65e9cf641f43fb4fd34bc378a47 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/category_theory/concrete_category/basic.lean | f39794e77d77699ebda40363f3dd73dbc1018703 | [
"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 | 9,114 | 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
import category_theory.functor.epi_mono
/-!
# Concrete categories
A concret... |
52d200c4e77d5cfd3330d205418a7bb478853914 | de91c42b87530c3bdcc2b138ef1a3c3d9bee0d41 | /old/assign/time_assign.lean | 999f527a24655aa983fd2fbc601905a94b07b1b9 | [] | no_license | kevinsullivan/lang | d3e526ba363dc1ddf5ff1c2f36607d7f891806a7 | e9d869bff94fb13ad9262222a6f3c4aafba82d5e | refs/heads/master | 1,687,840,064,795 | 1,628,047,969,000 | 1,628,047,969,000 | 282,210,749 | 0 | 1 | null | 1,608,153,830,000 | 1,595,592,637,000 | Lean | UTF-8 | Lean | false | false | 589 | lean | import ..eval.time_eval
variables {K : Type*} [field K] [inhabited K] {f : fm K TIME} (sp : spc K f)
open lang.time
def assign_duration : env.env K → duration_var sp → duration_expr sp → env.env K
| i v e :=
{
t := {
d := λve, if v.nm=ve.nm then ((lang.time_eval.duration_eval sp) i.t e) else i.t.d v
... |
baf1513b541872d24a91136d3dc7695471ddf63e | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/ring_theory/mv_polynomial/weighted_homogeneous.lean | 6def165740d0f838a71fa602496c01d30d389918 | [
"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 | 18,303 | lean | /-
Copyright (c) 2022 María Inés de Frutos-Fernández. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Antoine Chambert-Loir, María Inés de Frutos-Fernández
-/
import algebra.graded_monoid
import data.mv_polynomial.variables
/-!
# Weighted homogeneous polynomials
> THI... |
bbf04e2571daf483fff12793991d7076ce285c61 | 8b9f17008684d796c8022dab552e42f0cb6fb347 | /hott/init/default.hlean | 56397d75ec4cc8dfe0ecc0402c72eb2ec915d450 | [
"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 | 534 | hlean | /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Module: init.default
Authors: Leonardo de Moura, Jakob von Raumer
-/
prelude
import init.datatypes init.reserved_notation init.tactic init.logic
import init.bool init.num init.priority... |
7e029e9b496912349c36810d20dcdf01bd9e92d6 | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /tests/lean/run/record1.lean | 60a622adf0e4960d3ad015fdd1371de300edabe6 | [
"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 | 807 | lean | structure point (A : Type) (B : Type) :=
mk :: (x : A) (y : B)
check point
check @ point.rec
check point.mk
check point.x
check point.y
check point.rec_on
check point.induction_on
check point.destruct
inductive color
| red | green | blue
structure color_point (A : Type) (B : Type) extends point A B :=
mk :: (c : col... |
d48777d80acfba43d144b65578039926956cf815 | 6dc0c8ce7a76229dd81e73ed4474f15f88a9e294 | /src/Lean/LocalContext.lean | 4b7a4963a4affe7569c41515295c74828d0c3799 | [
"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 | 14,834 | 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 Std.Data.PersistentArray
import Lean.Expr
import Lean.Hygiene
namespace Lean
inductive LocalDecl where
| cdecl (index : Nat) (fvarId : FVarId) (u... |
c00f31e93fd30af3c5a04955a7e254ed0681b28d | 80cc5bf14c8ea85ff340d1d747a127dcadeb966f | /src/analysis/convex/topology.lean | 3cfc38785164c3b6b5c7290a20cc4a94eddc4b1a | [
"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 | 8,662 | lean | /-
Copyright (c) 2020 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Alexander Bentkamp, Yury Kudriashov
-/
import analysis.convex.basic
import analysis.normed_space.finite_dimension
import topology.path_connected
/-!
# Topological and metric properti... |
0b4896071bd8447f0591b0aabc15ff8e200a818d | a721fe7446524f18ba361625fc01033d9c8b7a78 | /src/principia/myint/cong.lean | 20db945eaa14105a07017c98c5ae9f0f8c0c1d46 | [] | no_license | Sterrs/leaning | 8fd80d1f0a6117a220bb2e57ece639b9a63deadc | 3901cc953694b33adda86cb88ca30ba99594db31 | refs/heads/master | 1,627,023,822,744 | 1,616,515,221,000 | 1,616,515,221,000 | 245,512,190 | 2 | 0 | null | 1,616,429,050,000 | 1,583,527,118,000 | Lean | UTF-8 | Lean | false | false | 2,230 | lean | import .dvd
import .mul
namespace hidden
open myint
-- a and b are congruent modulo n
def cong (n a b : myint) : Prop := ∃ k : myint, a = b + n * k
-- Throughout this section we will work modulo n
section mod_n
-- Fix a value n, which we will work modulo
parameter {n : myint}
-- Write ≅ for congruent modulo n
local... |
0fe140b7d8a72a0f4d6dc5e82463733bfd47a030 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/measure_theory/decomposition/lebesgue.lean | e61ee24e549f9d197086da6bcbb5ef6789f1fb76 | [
"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 | 65,592 | lean | /-
Copyright (c) 2021 Kexing Ying. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kexing Ying
-/
import measure_theory.measure.complex
import measure_theory.decomposition.jordan
import measure_theory.measure.with_density_vector_measure
import measure_theory.function.ae... |
2031e0fcdb427dd9e80a6040df0dc65218aa5d4d | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/algebra/group_ring_action/basic.lean | c51cd994effd66e139d3523d73533e183c822322 | [
"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 | 3,084 | 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 algebra.ring.equiv
import algebra.field.defs
import group_theory.group_action.group
/-!
# Group action on rings
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any chang... |
a3edc7d5c81edd9615ef2e013c739444cedea0f2 | 44023683920a51f2416cf51eeab3fc51c3ff0765 | /leanpkg/leanpkg/git.lean | e018b2cc5920933ca6c158912a6872ccc1b1e54b | [
"Apache-2.0"
] | permissive | pirocks/lean | e6e3e3fd20c5e7877f7efc3b50e5e20271e8d0cf | 368f17d0b1392a5a72c9eb974f15b14462cc1475 | refs/heads/master | 1,620,671,385,768 | 1,516,152,564,000 | 1,516,152,564,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,332 | lean | /-
Copyright (c) 2017 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Gabriel Ebner
-/
import leanpkg.lean_version system.io
variable [io.interface]
namespace leanpkg
def upstream_git_branch :=
if lean_version.is_release then
"lean-" ++ lean_... |
b71303ea411324a0a1263d24adfa98036ea700e1 | 6e41ee3ac9b96e8980a16295cc21f131e731884f | /hott/algebra/binary.hlean | bdf676e5efe8468452c47b46cbea21061ba9e3ca | [
"Apache-2.0"
] | permissive | EgbertRijke/lean | 3426cfa0e5b3d35d12fc3fd7318b35574cb67dc3 | 4f2e0c6d7fc9274d953cfa1c37ab2f3e799ab183 | refs/heads/master | 1,610,834,871,476 | 1,422,159,801,000 | 1,422,159,801,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,259 | hlean | /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Module: algebra.binary
Authors: Leonardo de Moura, Jeremy Avigad
General properties of binary operations.
-/
open eq
namespace binary
section
variable {A : Type}
variables ... |
dfc472d6ee416ff6eb7e9efbe0f97856b84239c0 | dd0f5513e11c52db157d2fcc8456d9401a6cd9da | /11_Tactic-Style_Proofs.org.43.lean | f653c2bb34add63d7bc6692584519eafbe5b4bf3 | [] | 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 | 172 | lean | import standard
import data.examples.vector
open nat
variables {A : Type} {n : nat}
example (H : n = 0) (v : vector A n) : vector A 0 :=
begin
rewrite H at v,
exact v
end
|
53a3c70c06a41d15e28b64a2a5252cd90892e8f5 | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /stage0/src/Lean/Meta/Tactic/Congr.lean | 107df2f38dc3e68cc3e98709d16008b8f675e895 | [
"Apache-2.0",
"LLVM-exception",
"NCSA",
"LGPL-3.0-only",
"LicenseRef-scancode-inner-net-2.0",
"BSD-3-Clause",
"LGPL-2.0-or-later",
"Spencer-94",
"LGPL-2.1-or-later",
"HPND",
"LicenseRef-scancode-pcre",
"ISC",
"LGPL-2.1-only",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | EdAyers/lean4 | 57ac632d6b0789cb91fab2170e8c9e40441221bd | 37ba0df5841bde51dbc2329da81ac23d4f6a4de4 | refs/heads/master | 1,676,463,245,298 | 1,660,619,433,000 | 1,660,619,433,000 | 183,433,437 | 1 | 0 | Apache-2.0 | 1,657,612,672,000 | 1,556,196,574,000 | Lean | UTF-8 | Lean | false | false | 3,898 | lean | /-
Copyright (c) 2022 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Meta.CongrTheorems
import Lean.Meta.Tactic.Assert
import Lean.Meta.Tactic.Apply
import Lean.Meta.Tactic.Refl
import Lean.Meta.Tactic.Assumption
... |
81d6b7640b423d9fd059d6ed2e7dbde0827cffe1 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/topology/algebra/monoid.lean | 535c4832c170cff45ae15024464d868973326da3 | [
"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 | 21,824 | 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.continuous_on
import topology.separation
import group_theory.submonoid.operations
import algebra.group.prod
import algebra.pointwise
i... |
3f57a5cdcc059cf87bbed745a343265b990a4454 | a45212b1526d532e6e83c44ddca6a05795113ddc | /src/category_theory/instances/monoids.lean | 939eb9c287396da6851286e092f5191442b59c40 | [
"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 | 1,663 | lean | /- Copyright (c) 2018 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
Introduce Mon -- the category of monoids.
Currently only the basic setup.
-/
import category_theory.concrete_category algebra.group
universes u v
open category_theo... |
bbfda2e04379c09e32362f827d2fd98555580463 | 5756a081670ba9c1d1d3fca7bd47cb4e31beae66 | /Mathport/Bridge/Path.lean | 66911692eb743391d3184e2fd8ec61a71a379f04 | [
"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 | 2,383 | lean | /-
Copyright (c) 2021 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Daniel Selsam
Utilities for managing paths.
-/
import Mathport.Util.Json
import Mathport.Util.Name
import Mathport.Bridge.Rename
namespace Mathport
open Lean
open System (Fil... |
92480b9c5769d6cdb332d2a73c072a45f901154e | 36c7a18fd72e5b57229bd8ba36493daf536a19ce | /tests/lean/simplifier_light.lean | 2c178da39fa4cc14442c3ff9fd98f5f6e899c1cc | [
"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 | 1,654 | lean | -- Test [light] annotation
-- Remark: it will take some additional work to get ⁻¹ to rewrite well
-- when there is a proof obligation.
import algebra.simplifier algebra.field data.set data.finset
open algebra simplifier.ac
attribute neg [light 2]
attribute inv [light 2]
attribute add.right_inv [simp]
attribute add_neg... |
97f59f34506e56fdcab50a8e2b8e3822a82785af | 48eee836fdb5c613d9a20741c17db44c8e12e61c | /src/algebra/theories/ring.lean | e5c31f1ab354fe4d19d100629c3645fad57e9be2 | [
"Apache-2.0"
] | permissive | fgdorais/lean-universal | 06430443a4abe51e303e602684c2977d1f5c0834 | 9259b0f7fb3aa83a9e0a7a3eaa44c262e42cc9b1 | refs/heads/master | 1,592,479,744,136 | 1,589,473,399,000 | 1,589,473,399,000 | 196,287,552 | 1 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 6,240 | lean | -- Copyright © 2019 François G. Dorais. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
import .basic
import .group
import .monoid
import .semiring
set_option default_priority 0
namespace algebra
signature ring (α : Type*) :=
(mul : α → α → α)
(one : α)
(add : α → α → α... |
6715d29e07baf047850f733e19a27eef5b0fee59 | d0f9af2b0ace5ce352570d61b09019c8ef4a3b96 | /notes/2020.02.06-photo.lean | b702137596acab02ef500f175a90db27672cdb77 | [] | no_license | jngo13/Discrete-Mathematics | 8671540ef2da7c75915d32332dd20c02f001474e | bf674a866e61f60e6e6d128df85fa73819091787 | refs/heads/master | 1,675,615,657,924 | 1,609,142,011,000 | 1,609,142,011,000 | 267,190,341 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 784 | lean | structure Photo : Type :=
photo :: (caption: string) (filename :string) (rating : nat)
--def p1:= Photo.photop
open Photo
--lamda
--pros: gives a lot of insight into what you write, see exactly whats going on
def change_rating: Photo → nat → Photo :=
λ p n,
photo p.caption p.filename n
-- a product type... |
8dc4a738e61d6bf89de0cf8a8c6656042438a646 | 969dbdfed67fda40a6f5a2b4f8c4a3c7dc01e0fb | /src/algebra/direct_sum_graded.lean | c608f1ef669c28d20df898a9b40e66080d7db999 | [
"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 | 16,396 | 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.direct_sum
import algebra.algebra.basic
import algebra.algebra.operations
import group_theory.subgroup
/-!
# Additively-graded multiplicative structures on ... |
c977fc4506c52d4fcb3e6f4c8d3339391698f173 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/def13.lean | f1d185b7b9e9227d6edba0cabd747ddebfbadf7b | [
"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 | 596 | lean | variable {α} (p : α → Prop) [DecidablePred p]
def filter : List α → List α
| [] => []
| a::as => if p a then a :: filter as else filter as
theorem filter_nil : filter p [] = [] :=
rfl
theorem filter_cons (a : α) (as : List α) : filter p (a :: as) = if p a then a :: filter p as else filter p as :=
rfl
theorem fil... |
6a5c3af6873998efbfb2e7f25841205fe8603ec4 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/algebra/ring/opposite.lean | cdd63d02a77c8926b11809a0144da5e0ac37aefd | [
"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 | 11,491 | lean | /-
Copyright (c) 2018 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau
-/
import algebra.group_with_zero.basic
import algebra.group.opposite
import algebra.hom.ring
/-!
# Ring structures on the multiplicative opposite
-/
universes u v
variables (α :... |
9d797f1997a2088e0f9a3064417601fa40fb5d49 | 947b78d97130d56365ae2ec264df196ce769371a | /stage0/src/Lean/Data/OpenDecl.lean | 30e2f79c2484a3cca8291dc1ff306ceeda9fc807 | [
"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 | 751 | 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.Data.Name
namespace Lean
inductive OpenDecl
| simple (ns : Name) (except : List Name)
| explicit (id : Name) (declName : Name)
namespace Op... |
a0e5b8ae5ec51981d5e1a6ca43dcd386691f8514 | 82e44445c70db0f03e30d7be725775f122d72f3e | /src/analysis/calculus/lhopital.lean | 0967204b8e1c981e759276e3b9ed6dee2d376c2c | [
"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 | 25,050 | lean | /-
Copyright (c) 2020 Anatole Dedecker. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Anatole Dedecker
-/
import analysis.calculus.mean_value
/-!
# L'Hôpital's rule for 0/0 indeterminate forms
In this file, we prove several forms of "L'Hopital's rule" for computing ... |
9c25df17e25d41c4e18367bd2c9ff293ebf65d3d | 0d7f5899c0475f9e105a439896d9377f80c0d7c3 | /src/ftuple.lean | e7c868e4e7d13e6d343a2af167d419ce41d9fb09 | [] | no_license | adamtopaz/UnivAlg | 127038f320e68cdf3efcd0c084c9af02fdb8da3d | 2458d47a6e4fd0525e3a25b07cb7dd518ac173ef | refs/heads/master | 1,670,320,985,286 | 1,597,350,882,000 | 1,597,350,882,000 | 280,585,500 | 4 | 0 | null | 1,597,350,883,000 | 1,595,048,527,000 | Lean | UTF-8 | Lean | false | false | 9,253 | lean | import data.equiv.fin
import data.fin
import data.nat.basic
import tactic
import init.data.nat.lemmas
/-!
# Finite Tuples
This file contains some definitions and results around finite tuples in an arbitrary type.
We have chosen to implement finite `n`-tuples in `A` as maps `fin n → A`.
This is primarily due to some ... |
09c25f4d0d5a77e7767a84ec5dafa7e661d49606 | a2ee6a66690e8da666951cac0c243d42db11f9f3 | /src/algebra/group_with_zero.lean | 5540196b0e95436ec4bfe0e4201fdaf3a3c57b75 | [
"Apache-2.0"
] | permissive | shyamalschandra/mathlib | 6d414d7c334bf383e764336843f065bd14c44273 | ca679acad147870b2c5087d90fe3550f107dea49 | refs/heads/master | 1,671,730,354,335 | 1,601,883,576,000 | 1,601,883,576,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 37,826 | 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 logic.nontrivial
import algebra.group.units_hom
import algebra.group.inj_surj
/-!
# Groups with an adjoined zero element
This file describes structures that ... |
871a0038dcbd031de7de4e7dc97e3a08074737ae | 31f556cdeb9239ffc2fad8f905e33987ff4feab9 | /src/Lean/Parser/Attr.lean | e34be60fb38bda658aa13a47071a279260622e76 | [
"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 | 2,149 | 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.Parser.Basic
import Lean.Parser.Extra
namespace Lean.Parser
builtin_initialize
registerBuiltinParserAttribute `builtinPrioParser ``Category.... |
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