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e13e5f2b90c8f31dbb54aa49d9604f16e261ed4c | 367134ba5a65885e863bdc4507601606690974c1 | /src/category_theory/elements.lean | b73e5d4ef434a195bb0cac04f12ff85f1a9d0f5d | [
"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 | 4,898 | 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.comma
import category_theory.groupoid
import category_theory.punit
/-!
# The category of elements
This file defines the category of elements,... |
4dd488e7d104eee70ae293259f7a2154267c6c8f | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/ring_theory/ideal/prod.lean | 9b20409db40e9b635f219db880b0e904fe433cd2 | [] | 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 | 5,402 | lean | /-
Copyright (c) 2020 Markus Himmel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Markus Himmel
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.ring_theory.ideal.operations
import Mathlib.PostPort
universes u v
namespace Mathlib
/-!
... |
52d5438b3265fc2827ca5cad666e0e6bc10fc332 | 947b78d97130d56365ae2ec264df196ce769371a | /tests/lean/run/ind_cmd_bug.lean | ddaf7f5792630b14d6f98368b6716484a2dec283 | [
"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 | 97 | lean | new_frontend
structure D (α : Type) :=
(a : α)
inductive S
| mk₁ (v : S)
| mk₂ (v : D S)
|
650ab34538bafa86f91e7b13cc68d2219530fe19 | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /tests/lean/run/let1.lean | 3c7d3868e018f7155a2c6f4a0275fd9a53d948b6 | [
"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 | 160 | lean | check
let f x y := x ∧ y,
g x := f x x,
a := g true
in λ (x : a),
let h x y := f x (g y),
b := h
in b
|
1df49b2dab1277c02547a1990cba6b2d02851534 | 8d65764a9e5f0923a67fc435eb1a5a1d02fd80e3 | /src/field_theory/finite/basic.lean | 08fed47f4e355f13a8d57af0b8e28e69078bd47a | [
"Apache-2.0"
] | permissive | troyjlee/mathlib | e18d4b8026e32062ab9e89bc3b003a5d1cfec3f5 | 45e7eb8447555247246e3fe91c87066506c14875 | refs/heads/master | 1,689,248,035,046 | 1,629,470,528,000 | 1,629,470,528,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 12,510 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Joey van Langen, Casper Putz
-/
import tactic.apply_fun
import data.equiv.ring
import data.zmod.basic
import linear_algebra.basis
import ring_theory.integral_domain
import ... |
a1c8f0c843212d6c56c7e6ccab945be6120bf2e5 | ebf7140a9ea507409ff4c994124fa36e79b4ae35 | /src/exercises_sources/friday/topology.lean | ed8be0e82e94b802552444c2654befca9d434c0e | [] | no_license | fundou/lftcm2020 | 3e88d58a92755ea5dd49f19c36239c35286ecf5e | 99d11bf3bcd71ffeaef0250caa08ecc46e69b55b | refs/heads/master | 1,685,610,799,304 | 1,624,070,416,000 | 1,624,070,416,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 12,143 | lean | import topology.metric_space.basic
open_locale classical filter topological_space
namespace lftcm
open filter set
/-!
# Filters
## Definition of filters
-/
def principal {α : Type*} (s : set α) : filter α :=
{ sets := {t | s ⊆ t},
univ_sets := begin
sorry
end,
sets_of_superset := begin
sorry
end,
... |
50961a77e22de04c1431cb037f33078895dfd272 | 46125763b4dbf50619e8846a1371029346f4c3db | /src/data/equiv/local_equiv.lean | 28b604cf89ac04a1ba89be70192648950bc3fa07 | [
"Apache-2.0"
] | permissive | thjread/mathlib | a9d97612cedc2c3101060737233df15abcdb9eb1 | 7cffe2520a5518bba19227a107078d83fa725ddc | refs/heads/master | 1,615,637,696,376 | 1,583,953,063,000 | 1,583,953,063,000 | 246,680,271 | 0 | 0 | Apache-2.0 | 1,583,960,875,000 | 1,583,960,875,000 | null | UTF-8 | Lean | false | false | 21,759 | lean | /-
Copyright (c) 2019 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import data.equiv.basic
/-!
# Local equivalences
This files defines equivalences between subsets of given types.
An element `e` of `local_equiv α β` is made ... |
bae6d74100b641e78da5e0b1edd226dacb87a348 | 159fed64bfae88f3b6a6166836d6278f953bcbf9 | /Structure/Generic/Lemmas/TypeRelations.lean | e01547ba1b33211b0cfa79ce850097e32db3fcfc | [
"MIT"
] | permissive | SReichelt/lean4-experiments | 3e56830c8b2fbe3814eda071c48e3c8810d254a8 | ff55357a01a34a91bf670d712637480089085ee4 | refs/heads/main | 1,683,977,454,907 | 1,622,991,121,000 | 1,622,991,121,000 | 340,765,677 | 2 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,546 | lean | -- An abstract formalization of "isomorphism is equality up to relabeling"
-- -------------------------------------------------------------------------
--
-- See `README.md` for more info.
--
-- This file contains collections of category-theoretic axioms that are parameterized in such a way that
-- they are suitable f... |
5dd710bb19396511b1fb2faa53bb8a6e0ae7411e | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/algebra/continued_fractions/basic.lean | df1cc8ef1bb947f1bac511d6a1670bab64becadd | [
"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 | 13,273 | 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 data.seq.seq
import algebra.field
/-!
# Basic Definitions/Theorems for Continued Fractions
## Summary
We define generalised, simple, and regular continue... |
49067636edc5a109ace6e537cb813d37b462516c | 947b78d97130d56365ae2ec264df196ce769371a | /src/Lean/Util/Sorry.lean | 33b52086374fb17421376fd89fed6a122b3c3403 | [
"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 | 2,545 | 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.Message
import Lean.Exception
namespace Lean
def Expr.isSorry : Expr → Bool
| Expr.app (Expr.app (Expr.const `sorryAx _ _) _ _) _ _ => true
| ... |
d57836852a69a951add045dd3595443d6f8590d6 | 35677d2df3f081738fa6b08138e03ee36bc33cad | /src/tactic/default.lean | 873da8c3400a1c4349105f25ea7899dcde985e23 | [
"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 | 970 | lean | /-
This file imports many useful tactics ("the kitchen sink").
You can use `import tactic` at the beginning of your file to get everything.
(Although you may want to strip things down when you're polishing.)
Because this file imports some complicated tactics, it has many transitive dependencies
(which of course may n... |
01a16e01aea135510baefea82e6e06369526ca8f | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/algebraic_topology/simplicial_set.lean | 6727591420e4e7134e4225491bb18cc4709a425e | [
"Apache-2.0"
] | permissive | alreadydone/mathlib | dc0be621c6c8208c581f5170a8216c5ba6721927 | c982179ec21091d3e102d8a5d9f5fe06c8fafb73 | refs/heads/master | 1,685,523,275,196 | 1,670,184,141,000 | 1,670,184,141,000 | 287,574,545 | 0 | 0 | Apache-2.0 | 1,670,290,714,000 | 1,597,421,623,000 | Lean | UTF-8 | Lean | false | false | 5,937 | lean | /-
Copyright (c) 2021 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin, Scott Morrison, Adam Topaz
-/
import algebraic_topology.simplicial_object
import algebraic_topology.topological_simplex
import category_theory.limits.presheaf
import ca... |
2afc531f0e6fe9fee9ad3e51f41df95811d291a4 | 80cc5bf14c8ea85ff340d1d747a127dcadeb966f | /src/tactic/abel.lean | 373396f74648619298b5fc0b8fc54c3833718481 | [
"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 | 13,121 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
import tactic.norm_num
/-!
# The `abel` tactic
Evaluate expressions in the language of additive, commutative monoids and groups.
-/
namespace tactic
namespace ab... |
d48290864cbd997ce427d278fcf962fc5ac8b6c8 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/logic/relation.lean | 588181c272806abfb4a4a3676aec0cb409ddb5e9 | [
"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 | 21,464 | lean | /-
Copyright (c) 2018 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
-/
import tactic.basic
import logic.relator
/-!
# Relation closures
This file defines the reflexive, transitive, and reflexive transitive closures of relations.
It als... |
9deced013928c64e5f05e55d9721e80d4ca473bf | ae1e94c332e17c7dc7051ce976d5a9eebe7ab8a5 | /tests/lean/run/explicitMotive.lean | 0ac84c2e099ad8b8b411fb01806eadf0fe957728 | [
"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 | 330 | lean | #lang lean4
def f1 (ex : Empty) {α : Type} : α :=
Empty.rec (motive := fun _ => α) ex
def f2 (a b : Nat) (h₁ : b = a) (h₂ : a + b = b) : a + a = b :=
Eq.rec (motive := fun x _ => a + x = b) h₂ h₁
def f3 (a b : Nat) (h₁ : b = a) (h₂ : a + b = b) : a + a = b :=
Eq.recOn (motive := fun x _ => a + x = b) h₁ h₂
|
7e7289af570e0747b377a72adda2c4e3c61831ec | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/analysis/normed/group/SemiNormedGroup/completion.lean | 5b16a708e9841435bf8aff8068c61cb4b3137519 | [
"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 | 4,545 | lean | /-
Copyright (c) 2021 Riccardo Brasca. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Riccardo Brasca, Johan Commelin
-/
import analysis.normed.group.SemiNormedGroup
import category_theory.preadditive.additive_functor
import analysis.normed.group.hom_completion
/-!
# ... |
c2d23debdaf31bc3aed9684ca8cf246726608c36 | 302c785c90d40ad3d6be43d33bc6a558354cc2cf | /src/linear_algebra/prod.lean | 68a944de4c467af787808db61ecdfea1a36cbe93 | [
"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 | 15,138 | 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, Kevin Buzzard, Yury Kudryashov, Eric Wieser
-/
import linear_algebra.basic
/-! ### Products of semimodules
This file defines constructors for linear m... |
25695049dc17d969da202245c8d3da584dfed2e5 | c777c32c8e484e195053731103c5e52af26a25d1 | /src/group_theory/subsemigroup/center.lean | 0ab9e2901c059519201e29a812431eaa3e3c9a31 | [
"Apache-2.0"
] | permissive | kbuzzard/mathlib | 2ff9e85dfe2a46f4b291927f983afec17e946eb8 | 58537299e922f9c77df76cb613910914a479c1f7 | refs/heads/master | 1,685,313,702,744 | 1,683,974,212,000 | 1,683,974,212,000 | 128,185,277 | 1 | 0 | null | 1,522,920,600,000 | 1,522,920,600,000 | null | UTF-8 | Lean | false | false | 5,163 | lean | /-
Copyright (c) 2021 Eric Wieser. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Eric Wieser, Jireh Loreaux
-/
import algebra.ring.defs
import group_theory.subsemigroup.operations
/-!
# Centers of magmas and semigroups
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> An... |
0acc242047fc75a7343199925f3d9f737b9510cc | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/category_theory/grothendieck.lean | 8320cb4343efba49ca4acf16325edfb09ed72b6b | [
"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 | 5,009 | lean | /-
Copyright (c) 2020 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import category_theory.category.Cat
import category_theory.elements
/-!
# The Grothendieck construction
Given a functor `F : C ⥤ Cat`, the objects of `grothendieck ... |
90dc0cbcf6a201583c1b72e9a8bca7bbd2aac2ab | ec62863c729b7eedee77b86d974f2c529fa79d25 | /23/a.lean | 4a0b9b104a4fbcef238fdd2b50e1adde5ce79cac | [] | no_license | rwbarton/advent-of-lean-4 | 2ac9b17ba708f66051e3d8cd694b0249bc433b65 | 417c7e2718253ba7148c0279fcb251b6fc291477 | refs/heads/main | 1,675,917,092,057 | 1,609,864,581,000 | 1,609,864,581,000 | 317,700,289 | 24 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 670 | lean | partial def resolve (bad : List Nat) (x : Nat) : Nat :=
let x' := if x = 0 then 9 else x
if bad.any (· = x') then resolve bad (x'-1) else x'
def step : List Nat → List Nat
| a :: b₁ :: b₂ :: b₃ :: rest =>
let tgt := resolve [b₁, b₂, b₃] (a-1)
let ⟨pre, post⟩ := rest.span (· ≠ tgt)
pre ++ tgt :: b₁ :: b₂ :: b₃ ::... |
b364732b08023d26b1f6077cf97fbaa30f2323d9 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/tactic/norm_cast.lean | dd64e045976226756093f220ab5e8cbe5fda23aa | [
"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 | 25,974 | lean | /-
Copyright (c) 2019 Paul-Nicolas Madelaine. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Paul-Nicolas Madelaine, Robert Y. Lewis
-/
import tactic.converter.interactive
import tactic.hint
/-!
# A tactic for normalizing casts inside expressions
This tactic normaliz... |
e329593c7c90e21a00b92dc6a011b6597982f493 | 69d4931b605e11ca61881fc4f66db50a0a875e39 | /src/data/nat/cast.lean | a303b44fccd17b933ed5086c8080a557305c73fc | [
"Apache-2.0"
] | permissive | abentkamp/mathlib | d9a75d291ec09f4637b0f30cc3880ffb07549ee5 | 5360e476391508e092b5a1e5210bd0ed22dc0755 | refs/heads/master | 1,682,382,954,948 | 1,622,106,077,000 | 1,622,106,077,000 | 149,285,665 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 11,371 | lean | /-
Copyright (c) 2014 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
Natural homomorphism from the natural numbers into a monoid with one.
-/
import algebra.ordered_field
import data.nat.basic
namespace nat
variables {α : Type*}
sectio... |
f4941243e773d621dda39e3f53d7893cf40e17eb | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/test_perm_ac1.lean | 135fc17d7e3d22d77481556b19252d5c193cde55 | [
"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 | 1,654 | lean | #exit
open expr decidable tactic nat
meta definition is_poly_bin_app : expr → option name
| (app (app (app (app (const op ls) A) s) lhs) rhs) := some op
| _ := none
meta definition is_add (e : expr) : bool :=
match (is_poly_bin_app e) with
| (some op) := to_bool (op = `add)
| none := ff
end
meta definition p... |
62c12f839d2cfc28d1dc0c4b1128f969a42a5e3a | dd0f5513e11c52db157d2fcc8456d9401a6cd9da | /08_Building_Theories_and_Proofs.org.12.lean | 8bd660026b0017c9beb84d9c093a01ec8984fde3 | [] | 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 | 921 | lean | import standard
namespace hide
-- BEGIN
variables {A : Type} (R : A → A → Prop)
definition reflexive : Prop := ∀ (a : A), R a a
definition symmetric : Prop := ∀ {a b : A}, R a b → R b a
definition transitive : Prop := ∀ {a b c : A}, R a b → R b c → R a c
definition euclidean : Prop := ∀ {a b c : A}, R a b → R a c →... |
f54a0bbab1ad3f3ecde546bc27ebb6feb33ecd08 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/data/list/sublists.lean | d70adc5c082ee8a12b21b8e53643fa8295ea0861 | [
"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 | 17,067 | lean | /-
Copyright (c) 2019 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
import data.nat.choose.basic
import data.list.perm
/-! # sublists
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file require a corresponding PR t... |
11f87aacd155c41f1da70c42331f69c8aa8ee5ce | 4fa118f6209450d4e8d058790e2967337811b2b5 | /src/for_mathlib/topology.lean | 8d7d3ed697a6cd6319a032bbdcf316b9a54e388f | [
"Apache-2.0"
] | permissive | leanprover-community/lean-perfectoid-spaces | 16ab697a220ed3669bf76311daa8c466382207f7 | 95a6520ce578b30a80b4c36e36ab2d559a842690 | refs/heads/master | 1,639,557,829,139 | 1,638,797,866,000 | 1,638,797,866,000 | 135,769,296 | 96 | 10 | Apache-2.0 | 1,638,797,866,000 | 1,527,892,754,000 | Lean | UTF-8 | Lean | false | false | 14,976 | lean | import topology.opens
import topology.algebra.continuous_functions
import for_mathlib.filter
import for_mathlib.data.set.basic
open topological_space function
local notation `𝓝` x:70 := nhds x
local notation f `∘₂` g := function.bicompr f g
-- We need to think whether we could directly use the class t2_space (whic... |
7c64b42df8c7bf2ec0e0d721b225419f22ae5066 | 3f7026ea8bef0825ca0339a275c03b911baef64d | /src/topology/Top/opens.lean | 604f614957e78d2a7aa0efcb8d8053832f30475d | [
"Apache-2.0"
] | permissive | rspencer01/mathlib | b1e3afa5c121362ef0881012cc116513ab09f18c | c7d36292c6b9234dc40143c16288932ae38fdc12 | refs/heads/master | 1,595,010,346,708 | 1,567,511,503,000 | 1,567,511,503,000 | 206,071,681 | 0 | 0 | Apache-2.0 | 1,567,513,643,000 | 1,567,513,643,000 | null | UTF-8 | Lean | false | false | 3,938 | 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 topology.Top.basic
import category_theory.natural_isomorphism
import category_theory.opposites
import category_theory.eq_to_hom
import topology.opens
open cat... |
36feef13c26bed8234d5907dd9b8d155337e23bc | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/algebraic_geometry/structure_sheaf.lean | 624f2f5b7d64faac0f101e83f14ee13a9fbd1630 | [] | 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 | 4,118 | 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 Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.algebraic_geometry.prime_spectrum
import Mathlib.algebra.category.CommRing.... |
40e53d680366441eebb2633de528bddc2511a0b3 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/linear_algebra/affine_space/midpoint.lean | e1ac95e66a40c5164c7bc1e5a82d0151c4492143 | [
"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 | 7,828 | lean | /-
Copyright (c) 2020 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov
-/
import algebra.char_p.invertible
import linear_algebra.affine_space.affine_equiv
/-!
# Midpoint of a segment
## Main definitions
* `midpoint R x y`: midpoint of ... |
52e4bbc8dc432c7167d9534d2147e4d70d78b732 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/analysis/convex/quasiconvex.lean | a89dceac86ea5a9fe108bb755f12d56e79e82c9a | [
"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 | 7,823 | lean | /-
Copyright (c) 2021 Yaël Dillies. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yaël Dillies
-/
import analysis.convex.function
/-!
# Quasiconvex and quasiconcave functions
This file defines quasiconvexity, quasiconcavity and quasilinearity of functions, which are... |
bfaa47a3153195150878d4e74e2f9e284b294598 | 92b50235facfbc08dfe7f334827d47281471333b | /hott/types/pi.hlean | 2026cd0ddafbcedc0b8160f2d050a6599fe29cbc | [
"Apache-2.0"
] | permissive | htzh/lean | 24f6ed7510ab637379ec31af406d12584d31792c | d70c79f4e30aafecdfc4a60b5d3512199200ab6e | refs/heads/master | 1,607,677,731,270 | 1,437,089,952,000 | 1,437,089,952,000 | 37,078,816 | 0 | 0 | null | 1,433,780,956,000 | 1,433,780,955,000 | null | UTF-8 | Lean | false | false | 9,386 | hlean | /-
Copyright (c) 2014-15 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Floris van Doorn
Partially ported from Coq HoTT
Theorems about pi-types (dependent function spaces)
-/
import types.sigma arity
open eq equiv is_equiv funext sigma
namespace pi... |
eb123ebf3bb67eaef4574fb6951322993f1e55e7 | 98beff2e97d91a54bdcee52f922c4e1866a6c9b9 | /src/sub.lean | ca4e7c42e47a9e31b15aaa83bc2d4980e1432e1a | [] | no_license | b-mehta/topos | c3fc43fb04ba16bae1965ce5c26c6461172e5bc6 | c9032b11789e36038bc841a1e2b486972421b983 | refs/heads/master | 1,629,609,492,867 | 1,609,907,263,000 | 1,609,907,263,000 | 240,943,034 | 43 | 3 | null | 1,598,210,062,000 | 1,581,877,668,000 | Lean | UTF-8 | Lean | false | false | 31,957 | 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.opposites
import category_theory.limits.lattice
import category_theory.limits.shapes.finite_products
import category_theory.limits.shapes.terminal
... |
cc0a9c705377f4b2c44094b038d65fab205671dd | 35677d2df3f081738fa6b08138e03ee36bc33cad | /src/tactic/suggest.lean | b7f975f0263d04089875f497c8056a50edba191c | [
"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 | 15,556 | lean | /-
Copyright (c) 2019 Lucas Allen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Lucas Allen and Scott Morrison
-/
import data.mllist
import tactic.solve_by_elim
/-!
# `suggest` and `library_search`
`suggest` and `library_search` are a pair of tactics for applying ... |
b6d4d20d1886d40b017b8bbfdb8041edae79aca1 | 36c7a18fd72e5b57229bd8ba36493daf536a19ce | /library/init/setoid.lean | dc138dc77964a91e1a952ef09eda1ead153b283b | [
"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 | 740 | lean | /-
Copyright (c) 2015 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
prelude
import init.relation
structure setoid [class] (A : Type) :=
(r : A → A → Prop) (iseqv : equivalence r)
namespace setoid
infix ` ≈ ` := setoid.r... |
bebe17f94d01ec2c5d50055292696748f6212596 | 624f6f2ae8b3b1adc5f8f67a365c51d5126be45a | /src/Init/Lean/Parser/Syntax.lean | ef0462c719ac64c0adc20a9e1876b3fa36a8938b | [
"Apache-2.0"
] | permissive | mhuisi/lean4 | 28d35a4febc2e251c7f05492e13f3b05d6f9b7af | dda44bc47f3e5d024508060dac2bcb59fd12e4c0 | refs/heads/master | 1,621,225,489,283 | 1,585,142,689,000 | 1,585,142,689,000 | 250,590,438 | 0 | 2 | Apache-2.0 | 1,602,443,220,000 | 1,585,327,814,000 | C | UTF-8 | Lean | false | false | 4,328 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura, Sebastian Ullrich
-/
prelude
import Init.Lean.Parser.Command
import Init.Lean.Parser.Tactic
namespace Lean
namespace Parser
@[init] def regBuiltinSyntaxPars... |
472253899f3d45516e8d18ec10dc812aede89445 | 097294e9b80f0d9893ac160b9c7219aa135b51b9 | /instructor/functions/polymomrphic/intro.lean | 471345475b258eb5d165e323554718c45da0a892 | [] | no_license | AbigailCastro17/CS2102-Discrete-Math | cf296251be9418ce90206f5e66bde9163e21abf9 | d741e4d2d6a9b2e0c8380e51706218b8f608cee4 | refs/heads/main | 1,682,891,087,358 | 1,621,401,341,000 | 1,621,401,341,000 | 368,749,959 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,900 | lean | /-
We've seen identity functions for specific types.
For example, here are identity functions for the
types, ℕ, bool, and string.
-/
def id_nat (a : ℕ) : ℕ := a
def id_bool (a : bool) : bool := a
def id_string (a : string) : string := a
/-
These functions differ only in the types of
va... |
39f5258193362b8758cbdcfbab27fd7a5859c4fe | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/category_theory/limits/constructions/finite_products_of_binary_products.lean | ff8793b35fff61afb613c23daacb270b5d7b44ca | [
"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 | 12,176 | 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.preserves.shapes.binary_products
import category_theory.limits.preserves.shapes.products
import category_theory.limits.shapes.binary_product... |
fff7f425fb027d9a220b7cd02739d668e84ae8cb | 297c4ceafbbaed2a59b6215504d09e6bf201a2ee | /kruskal_final/temp.lean | df15cbb61387cda2a4eecca6083ba7f84820d6b4 | [] | no_license | minchaowu/Kruskal.lean3 | 559c91b82033ce44ea61593adcec9cfff725c88d | a14516f47b21e636e9df914fc6ebe64cbe5cd38d | refs/heads/master | 1,611,010,001,429 | 1,497,935,421,000 | 1,497,935,421,000 | 82,000,982 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 182 | lean | open set function
theorem least_seq_at_n {S : set (ℕ → ℕ)} (H : S ≠ ∅) (n : ℕ) :
∃ f : ℕ → ℕ, f ∈ S ∧ ∀ g : ℕ → ℕ, g ∈ S → f n ≤ g n :=
sorry
|
13c6e7f74f6d0f2b8fd1b7efd3cbc0df0081d1cc | 8d65764a9e5f0923a67fc435eb1a5a1d02fd80e3 | /src/group_theory/specific_groups/cyclic.lean | 58f20ec31754288237e759fc97c06c0b02fd30df | [
"Apache-2.0"
] | permissive | troyjlee/mathlib | e18d4b8026e32062ab9e89bc3b003a5d1cfec3f5 | 45e7eb8447555247246e3fe91c87066506c14875 | refs/heads/master | 1,689,248,035,046 | 1,629,470,528,000 | 1,629,470,528,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 19,225 | lean | /-
Copyright (c) 2018 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
-/
import algebra.big_operators.order
import data.nat.totient
import group_theory.order_of_element
import tactic.group
/-!
# Cyclic groups
A group `G` is called cycli... |
da7d7deb9eab3f58d6a9b48dd1ad64f1d70a5055 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/rewrite.lean | fb695b9c2377a43e294d57835cca709632c75eb0 | [
"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 | 218 | lean | class is_one_class (n : ℕ) :=
(one : n = 1)
lemma one_eq (n : ℕ) [is_one_class n] : 1 = n := is_one_class.one.symm
-- error message should say which typeclass is missing
example (n : ℕ) : n = 1 :=
by rw one_eq
|
e74152bf8bfdbae9c62fa39eeb7ff2cb5fbca531 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/data/nat/enat.lean | 4f2c32e45b6d5816ece88ecfe44dc9849a964968 | [
"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 | 19,797 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes
-/
import data.equiv.mul_add
import tactic.norm_num
import data.part
/-!
# Natural numbers with infinity
The natural numbers and an extra `top` element `⊤`.
## Main defin... |
9a5964415e36d0152f2b33f02b9ce397123d1e86 | 367134ba5a65885e863bdc4507601606690974c1 | /src/data/set/intervals/pi.lean | a273017aa549aca6e81ada4cfa9a70c5e6f22039 | [
"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 | 5,432 | lean | /-
Copyright (c) 2020 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Yury Kudryashov
-/
import data.set.intervals.basic
import data.set.lattice
/-!
# Intervals in `pi`-space
In this we prove various simple lemmas about intervals in `Π i, α i`. Closed ... |
6a83b418f7dcd230f34496a06a85bd4224c2cce1 | 7cef822f3b952965621309e88eadf618da0c8ae9 | /src/topology/metric_space/lipschitz.lean | 489094067786af1b84f63eb5a3bbc5e99a80aa13 | [
"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 | 9,423 | lean | /-
Copyright (c) 2018 Rohan Mitta. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Rohan Mitta, Kevin Buzzard, Alistair Tucker, Johannes Hölzl, Yury Kudryashov
-/
import topology.metric_space.basic
import category_theory.endomorphism category_theory.types
/-!
# Lipsch... |
624fca7131466a69fa1f02a7ea7bb347b143d5eb | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/topology/opens.lean | 64212f12edf510cb08898a36e2adfbdec8bb1333 | [
"Apache-2.0"
] | permissive | AntoineChambert-Loir/mathlib | 64aabb896129885f12296a799818061bc90da1ff | 07be904260ab6e36a5769680b6012f03a4727134 | refs/heads/master | 1,693,187,631,771 | 1,636,719,886,000 | 1,636,719,886,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 8,178 | 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, Floris van Doorn
-/
import topology.bases
import topology.homeomorph
/-!
# Open sets
## Summary
We define the subtype of open sets in a topological sp... |
4b8e2a33dcffa4bfb4f69048f530be1444ac24ac | f5f7e6fae601a5fe3cac7cc3ed353ed781d62419 | /src/data/finset.lean | 9fc168969abaa0ed958c19cd19bbc7306700d223 | [
"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 | 81,231 | lean | /-
Copyright (c) 2015 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura, Jeremy Avigad, Minchao Wu, Mario Carneiro
Finite sets.
-/
import logic.embedding order.boolean_algebra algebra.order_functions
data.multiset data.sigma.basi... |
93e146babc7e3afdc15a065f2dcd923353739535 | 9a208b2f36ebdb9b100b123c6aa00063414860a7 | /src/basic.lean | 45ad7fe4b6ce28bff3cb8d62f10e8d0d6a919f55 | [
"Apache-2.0"
] | permissive | SnobbyDragon/sudoku | 67b0dc46ff3484e29b0d99e1b82d66896ce13ff0 | 3aa976818a7c950c85d6e7f1a70d329125fcea9b | refs/heads/master | 1,675,441,677,467 | 1,609,123,194,000 | 1,609,123,194,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 10,250 | lean | /-
Copyright (c) 2020 Markus Himmel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Markus Himmel
-/
import data.set.function
import tactic
open set
def row (i : fin 9) : set (fin 9 × fin 9) := { p | p.1 = i }
def col (i : fin 9) : set (fin 9 × fin 9) := { p | p.2 = ... |
266bb1a8f8c6122471c387daeb5bbd2fbbb390d0 | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /library/algebra/complete_lattice.lean | 065970c8cf97908b7ddb099724dd5295e5b221c6 | [
"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 | 14,985 | lean | /-
Copyright (c) 2015 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura
Complete lattices
TODO: define dual complete lattice and simplify proof of dual theorems.
-/
import algebra.lattice data.set.basic algebra.monotone
open set
... |
ba99ceae375ba381b4162feecc5e0c8973a365b7 | da3a76c514d38801bae19e8a9e496dc31f8e5866 | /tests/lean/run/my_tac_class.lean | 222bb1eaccc2173cd3aa4d7465ca62084ade42d8 | [
"Apache-2.0"
] | permissive | cipher1024/lean | 270c1ac5781e6aee12f5c8d720d267563a164beb | f5cbdff8932dd30c6dd8eec68f3059393b4f8b3a | refs/heads/master | 1,611,223,459,029 | 1,487,566,573,000 | 1,487,566,573,000 | 83,356,543 | 0 | 0 | null | 1,488,229,336,000 | 1,488,229,336,000 | null | UTF-8 | Lean | false | false | 1,753 | lean | meta def mytac :=
state_t nat tactic
meta instance : monad mytac :=
state_t.monad _ _
meta instance : monad.has_monad_lift tactic mytac :=
monad.monad_transformer_lift (state_t nat) tactic
meta instance (α : Type) : has_coe (tactic α) (mytac α) :=
⟨monad.monad_lift⟩
namespace mytac
meta def step {α : Type} (t : my... |
a34d80fe7070cd34fa25181e2e7dcbeecbbb6339 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/interactive/coe.lean | d65992caf5cb2ffb47184e44a7d494ec041b8398 | [
"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 | 164 | lean | import data.int
open int
protected theorem has_decidable_eq₁ [instance] : decidable_eq ℤ :=
take (a b : ℤ), _
constant n : nat
constant i : int
check n + i
|
e1d0ea95e60bdc34c755bf1e469a53bda923f882 | 1dd482be3f611941db7801003235dc84147ec60a | /src/algebra/ring.lean | c2e72751b9641aa8bd1a9a2e6adc75ce770f1ebc | [
"Apache-2.0"
] | permissive | sanderdahmen/mathlib | 479039302bd66434bb5672c2a4cecf8d69981458 | 8f0eae75cd2d8b7a083cf935666fcce4565df076 | refs/heads/master | 1,587,491,322,775 | 1,549,672,060,000 | 1,549,672,060,000 | 169,748,224 | 0 | 0 | Apache-2.0 | 1,549,636,694,000 | 1,549,636,694,000 | null | UTF-8 | Lean | false | false | 10,685 | lean | /-
Copyright (c) 2014 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Leonardo de Moura, Floris van Doorn
-/
import algebra.group data.set.basic
universes u v
variable {α : Type u}
section
variable [semiring α]
theorem mul_two (n : α) : ... |
00ca9ae8659e7efbdc89b971c5c34b6dd5d03b5e | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/run/nested_begin_end.lean | 470c7969272a76ff41c7dc98c3efc2a65c6bc556 | [
"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 | 543 | lean | example (p q : Prop) : p ∧ q ↔ q ∧ p :=
begin
apply iff.intro,
begin
intro H,
apply and.intro,
apply (and.elim_right H),
apply (and.elim_left H)
end,
begin
intro H,
apply and.intro,
apply (and.elim_right H),
apply (and.elim_left H)
end
end
example (p q : Prop) : p ∧ q ↔ q ∧ ... |
9ea350ad2e86cfcfca6fb41d8d4742df8d62c1b7 | 4dbc106f944ae08d9082a937156fe53f8241336c | /src/data/sigma/on_fst.lean | ae8bbf8bf76fe4a6c49cb561ddca11d4d4efa1c9 | [] | no_license | spl/lean-finmap | feff7ee53811b172531f84b20c02e50c787fe6fc | 936d9caeb27631e3c6cf20e972de4837c9fe98fa | refs/heads/master | 1,584,501,090,642 | 1,537,511,660,000 | 1,537,515,626,000 | 134,227,269 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,375 | lean | import data.sigma.basic
namespace sigma
universes u v
section
variables {α : Type u} {β : α → Type v}
theorem eq_fst {s₁ s₂ : sigma β} : s₁ = s₂ → s₁.1 = s₂.1 :=
by cases s₁; cases s₂; cc
theorem eq_snd {s₁ s₂ : sigma β} : s₁ = s₂ → s₁.2 == s₂.2 :=
by cases s₁; cases s₂; cc
end
section
variables {α₁ α₂ : Type u} ... |
b13d26ed1a10035162f1eefa31c5236843e758d1 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/combinatorics/simple_graph/triangle/basic.lean | ed1a2512fedaf666e60d700f0ffb62e94dd3aa48 | [
"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 | 3,052 | lean | /-
Copyright (c) 2022 Yaël Dillies, Bhavik Mehta. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yaël Dillies, Bhavik Mehta
-/
import combinatorics.simple_graph.clique
/-!
# Triangles in graphs
A *triangle* in a simple graph is a `3`-clique, namely a set of three ver... |
1a24c013dfdec40b72595b39358c88152e658efe | 367134ba5a65885e863bdc4507601606690974c1 | /src/order/liminf_limsup.lean | 645bfc9c7bfb5a10c885401117cdd3e61f6ad15e | [
"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 | 22,096 | lean | /-
Copyright (c) 2018 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel, Johannes Hölzl, Rémy Degenne
-/
import order.filter.partial
import order.filter.at_top_bot
/-!
# liminfs and limsups of functions and filters
Defines the Liminf... |
83923d7c0a4da4591d7a133f049aa6990d5d4b69 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/analysis/special_functions/trigonometric/inverse.lean | 0d6c733ba75514c0a3bdbd324f70051aa21af647 | [
"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 | 15,503 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Abhimanyu Pallavi Sudhir, Jean Lo, Calle Sönne, Benjamin Davidson
-/
import analysis.special_functions.trigonometric.basic
import topology.algebra.order.proj_Icc
/-!
# In... |
ce33c69761c3e8b32789c8f66fb7dada91a7fb21 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/data/finset/card.lean | fb8634fecac807aa2bbe10de14be50d1e186f420 | [
"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 | 24,034 | lean | /-
Copyright (c) 2015 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura, Jeremy Avigad
-/
import data.finset.basic
import tactic.by_contra
/-!
# Cardinality of a finite set
This defines the cardinality of a `finset` and provides ... |
ababd6463add2ca66eec7d46d369b10a595e6201 | 0851884047bb567d19e188e8f1ad959c5ae9c5ce | /src/M3P14/sheet2.lean | abba64219857cad183827c3f3f1801897b67bd77 | [
"Apache-2.0"
] | permissive | yz5216/xena-UROP-2018 | 00d3f71a831324966d40d302544ed2cbbec3fd0f | 5e9da9dc64dc51897677f8b73ab9f94061a8d977 | refs/heads/master | 1,584,922,436,989 | 1,531,487,250,000 | 1,531,487,250,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,121 | lean | import analysis.real
-- Questions:
-- Compute 210/449 and 605/617 using quadratic reciprocity.
-- (449 and 617 are both prime).
-- TODO: how to prove it using quadratic reciprocity?
theorem q1 : ∃ x y : ℝ,
-- Find all 6 primitive roots modulo 19.
theorem q2a :
-- Show that if n is odd and a is a primitive root mod... |
a166bcab431bb3f8d9c601b134fa3feeef334159 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/algebra/free.lean | 943813c801394d5a7aece1a11925f77fd4364c45 | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 23,950 | 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 algebra.hom.group
import algebra.hom.equiv.basic
import control.applicative
import control.traversable.basic
import logic.equiv.defs
import data.list.basic
/-!
# Free c... |
248d11f6c4c583e19b89e3ac7e0a5ce4f29ac773 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/eval_expr_error.lean | a77150fe21ee9ecaeda907a597c1753053732b94 | [
"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 | 347 | lean | open tactic
meta def tst1 (A : Type) : tactic unit :=
do a ← to_expr ``(0),
v ← eval_expr A a,
return ()
run_cmd do
a ← to_expr ``(nat.add),
v ← eval_expr nat a,
trace v,
return ()
run_cmd do
a ← to_expr ``(λ x : nat, x + 1),
v ← (eval_expr nat a <|> trace "tactic failed" >> return 1),
trace v... |
bd49fb7e8bbaf3e60854f9379fa8c33afd24b2bb | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/data/nat/dist.lean | 7b809ee1d61c17ef3df16226f3dc4e7fca1f9523 | [] | no_license | AurelienSaue/Mathlib4_auto | f538cfd0980f65a6361eadea39e6fc639e9dae14 | 590df64109b08190abe22358fabc3eae000943f2 | refs/heads/master | 1,683,906,849,776 | 1,622,564,669,000 | 1,622,564,669,000 | 371,723,747 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,888 | lean | /-
Copyright (c) 2014 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn, Jeremy Avigad
Distance function on the natural numbers.
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.data.nat.basic
import Mathlib... |
3056e179da82554406ff1428164e6a40188ca434 | 8c9f90127b78cbeb5bb17fd6b5db1db2ffa3cbc4 | /Kevins_blog_post_2.lean | fe0b2b91a3cbaa7c18fea0bf9c14bd1fbc6b7aca | [] | no_license | picrin/lean | 420f4d08bb3796b911d56d0938e4410e1da0e072 | 3d10c509c79704aa3a88ebfb24d08b30ce1137cc | refs/heads/master | 1,611,166,610,726 | 1,536,671,438,000 | 1,536,671,438,000 | 60,029,899 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,850 | lean | inductive xnat : Type
| zero : xnat
| succ : xnat → xnat
inductive equality (a : xnat): xnat → Prop
| refl : equality a
definition equality.trans: Π (a b c : xnat), Π eq1: (equality a b), Π eq2 : (equality b c), equality a c :=
λ a b c : xnat,
λ eq1 : (equality a b),
λ eq2 : (equality b c),
@equal... |
d4663aea49aaabb52b4641ce2541f3627c79b77d | aa3f8992ef7806974bc1ffd468baa0c79f4d6643 | /library/data/nat/decl.lean | e0a73bc78ce44460e952886998655969ffb56847 | [
"Apache-2.0"
] | permissive | codyroux/lean | 7f8dff750722c5382bdd0a9a9275dc4bb2c58dd3 | 0cca265db19f7296531e339192e9b9bae4a31f8b | refs/heads/master | 1,610,909,964,159 | 1,407,084,399,000 | 1,416,857,075,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 10,790 | lean | --- Copyright (c) 2014 Floris van Doorn. All rights reserved.
--- Released under Apache 2.0 license as described in the file LICENSE.
--- Author: Floris van Doorn, Leonardo de Moura
import logic.eq logic.heq logic.wf logic.decidable logic.if data.prod
open eq.ops decidable
inductive nat :=
zero : nat,
succ : nat → na... |
63b277ab2a77bb6dfea48e5c9ab7ee079c57ca30 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/measure_theory/measurable_space.lean | 8298b8bdd1157dcbdb62ce284257a9b04bc4cd55 | [
"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 | 44,676 | 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 measure_theory.measurable_space_def
import measure_theory.tactic
/-!
# Measurable spaces and measurable functions
This file provides proper... |
d8c02d68683bbcb24005e2774fec1f99b69aa5da | 947b78d97130d56365ae2ec264df196ce769371a | /stage0/src/Lean/Data/Lsp/Capabilities.lean | 584599ab0f59e5bb20043630da8ce3a6701f318a | [
"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 | 991 | lean | /-
Copyright (c) 2020 Marc Huisinga. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Marc Huisinga, Wojciech Nawrocki
-/
import Lean.Data.JsonRpc
import Lean.Data.Lsp.TextSync
/-! Minimal LSP servers/clients do not have to implement a lot
of functionality. Most useful... |
675e276b7653878d156732e61c7c4d67c850bba7 | 302b541ac2e998a523ae04da7673fd0932ded126 | /tests/simple/higherorder.lean | 612916a0c2ad6081e4ddf576a177d67842722c13 | [] | no_license | mattweingarten/lambdapure | 4aeff69e8e3b8e78ea3c0a2b9b61770ef5a689b1 | f920a4ad78e6b1e3651f30bf8445c9105dfa03a8 | refs/heads/master | 1,680,665,168,790 | 1,618,420,180,000 | 1,618,420,180,000 | 310,816,264 | 2 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 115 | lean | set_option trace.compiler.ir.init true
def higherorder (f: Nat -> Nat) : Nat := f 0
def applied_higher_order()
|
d480c25ecdccec94e712aa4e5a7f7c7818d9a1a9 | fecda8e6b848337561d6467a1e30cf23176d6ad0 | /src/geometry/manifold/times_cont_mdiff.lean | 1db5d3f0b1ee8bb554419a34b8d9de0e4e1c494c | [
"Apache-2.0"
] | permissive | spolu/mathlib | bacf18c3d2a561d00ecdc9413187729dd1f705ed | 480c92cdfe1cf3c2d083abded87e82162e8814f4 | refs/heads/master | 1,671,684,094,325 | 1,600,736,045,000 | 1,600,736,045,000 | 297,564,749 | 1 | 0 | null | 1,600,758,368,000 | 1,600,758,367,000 | null | UTF-8 | Lean | false | false | 69,198 | 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.mfderiv
import geometry.manifold.local_invariant_properties
/-!
# Smooth functions between smooth manifolds
We define `Cⁿ` functions... |
6150f0e7b1c2e38a77792fd27c2fe1b620605293 | 0c9c1ff8e5013c525bf1d72338b62db639374733 | /library/data/rbtree/basic.lean | 1b092d90ed2dbfedf291292e604ec0c011bf8de0 | [
"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 | 8,767 | lean | /-
Copyright (c) 2017 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
universe u
meta def tactic.interactive.blast_disjs : tactic unit :=
`[cases_type* or]
namespace rbnode
variables {α : Type u}
open color nat
inductive i... |
62dff1a05dc74486b05e875da91a3bc091db38df | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/algebra/category/Group/images.lean | 025223dcb2e20a685ce953a1ffccd349478406ba | [
"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 | 3,299 | 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 algebra.category.Group.abelian
import category_theory.limits.shapes.images
import category_theory.limits.types
/-!
# The category of commutative additive grou... |
456266622602040710ff5cdfb4cb3c9117bff297 | 947b78d97130d56365ae2ec264df196ce769371a | /tests/lean/run/cdotTests.lean | 084a35cfacd9ee465d65cfe0cabcde760a06348d | [
"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 | 591 | lean | new_frontend
class Inc (α : Type) :=
(inc : α → α)
export Inc (inc)
instance {α} [Inc α] : Inc (List α) :=
{ inc := (·.map inc) }
instance : Inc Nat :=
{ inc := Nat.succ }
#eval inc 10
#eval inc [1, 2, 3]
theorem ex1 : [(1, "hello"), (2, "world")].map (·.1) = [1, 2] :=
rfl
theorem ex2 : [(1, "hello"), (2, "world... |
90236170f9495d72a7f9d88194168288351d7610 | 97c8e5d8aca4afeebb5b335f26a492c53680efc8 | /ground_zero/HITs/colimit.lean | 7c93c83ec1d01846f1dabbf36747da9a7bc67bd6 | [] | no_license | jfrancese/lean | cf32f0d8d5520b6f0e9d3987deb95841c553c53c | 06e7efaecce4093d97fb5ecc75479df2ef1dbbdb | refs/heads/master | 1,587,915,151,351 | 1,551,012,140,000 | 1,551,012,140,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,770 | lean | import ground_zero.types.heq
open ground_zero.types.dep_path (pathover_of_eq)
/-
Sequential colimit.
* https://homotopytypetheory.org/2016/01/08/colimits-in-hott/
-/
namespace ground_zero.HITs
universes u v
inductive colimit.core (α : ℕ → Sort u)
(f : Π (n : ℕ), α n → α (n + 1))
| incl {} {n : ℕ} : α n → colim... |
30a5c8790bcf42838405a76ed90bdcebd4e0eb00 | 86f6f4f8d827a196a32bfc646234b73328aeb306 | /examples/basics/unnamed_173.lean | 7667fdf5c9affa24a2c100c70fcaddb1866177e3 | [] | 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 | 194 | lean | import data.real.basic
-- BEGIN
example (a b c d e f : ℝ) (h : a * b = c * d) (h' : e = f) :
a * (b * e) = c * (d * f) :=
begin
rw h',
rw ←mul_assoc,
rw h,
rw mul_assoc
end
-- END |
f94c3333be2008e371161d8ff683f7f2b92309f4 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/measure_theory/ae_measurable_sequence.lean | 71244d2b1485c61e47b93a28ae7e3eb91df2fb32 | [
"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 | 6,370 | lean | /-
Copyright (c) 2021 Rémy Degenne. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Rémy Degenne
-/
import measure_theory.measure_space
/-!
# Sequence of measurable functions associated to a sequence of a.e.-measurable functions
We define here tools to prove statemen... |
562f673db4937e7da98fbe23b71b4c054e30157b | c53d5ba209b8af48cc7da493312ee546b152c1f2 | /src/Lean/Server/FileWorker.lean | 8055ab4a45581b4e2c41a336dbe55bae38cee1fe | [
"Apache-2.0"
] | permissive | bacaimano/lean4 | 2d3136a7a2cfebd757ae28b9df4102564b0221cc | 6ca8389670bd7979172234c3c31b2b394fc69d06 | refs/heads/master | 1,686,768,155,370 | 1,625,522,310,000 | 1,625,556,563,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 17,841 | lean | /-
Copyright (c) 2020 Marc Huisinga. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Marc Huisinga, Wojciech Nawrocki
-/
import Init.System.IO
import Std.Data.RBMap
import Lean.Environment
import Lean.Data.Lsp
import Lean.Data.Json.FromToJson
import Lean.Server.Util... |
d8e60c4f49d356dde264e6add6c3cac65def8b61 | ca1ad81c8733787aba30f7a8d63f418508e12812 | /clfrags/src/hilbert/wr/neg.lean | 414c13326019557d02516d596c08fcb72725a652 | [] | no_license | greati/hilbert-classical-fragments | 5cdbe07851e979c8a03c621a5efd4d24bbfa333a | 18a21ac6b2e890060eb4ae65752fc0245394d226 | refs/heads/master | 1,591,973,117,184 | 1,573,822,710,000 | 1,573,822,710,000 | 194,334,439 | 2 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 363 | lean | import core.connectives
namespace clfrags
namespace hilbert
namespace wr
namespace neg
axiom n₁ : Π {a b : Prop}, a → neg a → b
axiom n₂ : Π {a : Prop}, a → neg (neg a)
axiom n₃ : Π {a : Prop}, neg (neg a) → a
end neg
end wr
... |
1df1881728340e025e9b41f90f6c39d0f029160b | 3446e92e64a5de7ed1f2109cfb024f83cd904c34 | /src/game/world2/level7.lean | b03048730c13141ecb8b7d12159c4b5f2bbff4b2 | [] | no_license | kckennylau/natural_number_game | 019f4a5f419c9681e65234ecd124c564f9a0a246 | ad8c0adaa725975be8a9f978c8494a39311029be | refs/heads/master | 1,598,784,137,722 | 1,571,905,156,000 | 1,571,905,156,000 | 218,354,686 | 0 | 0 | null | 1,572,373,319,000 | 1,572,373,318,000 | null | UTF-8 | Lean | false | false | 1,942 | lean | import mynat.definition -- hide
import mynat.add -- hide
import game.world2.level6 -- hide
namespace mynat -- hide
/-
# World 2 -- Addition World
## Level 7 -- `succ_ne_zero`
You have these:
* `zero_ne_succ : ∀ (a : mynat), zero ≠ succ(a)`
* `succ_inj : ∀ a b : mynat, succ(a) = succ(b) → a = b`
* `add_zero :... |
e5b0e66cbcd8b1c26fb45fc9a77992f9e71a9ae4 | 5c7fe6c4a9d4079b5457ffa5f061797d42a1cd65 | /src/exercises/src_39_square_root_of_two.lean | 890f0316fa7d9f280b06f4c662106d303b691904 | [] | no_license | gihanmarasingha/mth1001_tutorial | 8e0817feeb96e7c1bb3bac49b63e3c9a3a329061 | bb277eebd5013766e1418365b91416b406275130 | refs/heads/master | 1,675,008,746,310 | 1,607,993,443,000 | 1,607,993,443,000 | 321,511,270 | 3 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 17,544 | lean | import ..library.src_real_field_lemmas
import ..library.src_ordered_field_lemmas
import data.set.basic
import tactic
/-
There are no explicit exercises in this file, though you may choose to prove examples yourself.
The aim of this file is to prove that there is a real number whose square is 2.
-/
namespace mth1001
... |
8754143a3bb082cd721f97a5577bc38da47e8c79 | 8930e38ac0fae2e5e55c28d0577a8e44e2639a6d | /category/basic.lean | 07c3fe2e130e6a98d982c3abbaab24e12d0af9f5 | [
"Apache-2.0"
] | permissive | SG4316/mathlib | 3d64035d02a97f8556ad9ff249a81a0a51a3321a | a7846022507b531a8ab53b8af8a91953fceafd3a | refs/heads/master | 1,584,869,960,527 | 1,530,718,645,000 | 1,530,724,110,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,228 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
Extends the theory on functors, applicatives and monads.
-/
universes u v w x y
variables {α β γ : Type u}
notation a ` $< `:1 f:1 := f a
section functor
variables {... |
bccfa17ca5403583abfe8e2dd0faaa26e0555c3a | 947b78d97130d56365ae2ec264df196ce769371a | /tests/lean/run/expr1.lean | 01f1d9596c3098c64fb64da437269e64e0b1e41f | [
"Apache-2.0"
] | permissive | shyamalschandra/lean4 | 27044812be8698f0c79147615b1d5090b9f4b037 | 6e7a883b21eaf62831e8111b251dc9b18f40e604 | refs/heads/master | 1,671,417,126,371 | 1,601,859,995,000 | 1,601,860,020,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,231 | lean | import Lean.Expr
new_frontend
open Lean
def tst1 : IO Unit :=
do let f := mkConst `f [];
let a := mkConst `a [];
let b := mkConst `b [];
let t := mkAppN f #[a, b, b];
let as₁ := t.getAppArgs;
let as₂ := t.getAppRevArgs;
IO.println as₁;
IO.println as₂;
«unless» (as₁.reverse == as₂) $ thr... |
891d6b7bbc50cd8faf9f5b37066575a1a5e991d7 | 31f556cdeb9239ffc2fad8f905e33987ff4feab9 | /src/Lean/Elab/Tactic/Conv/Basic.lean | 42ca3eb343c70c8127b7f15f6f953362a4f731a4 | [
"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 | 7,391 | lean | /-
Copyright (c) 2021 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Meta.Reduce
import Lean.Meta.Tactic.Apply
import Lean.Meta.Tactic.Replace
import Lean.Elab.Tactic.Basic
import Lean.Elab.Tactic.BuiltinTactic
n... |
3cf311fb20822f0cd33fc307290e8a09893125fb | bdb33f8b7ea65f7705fc342a178508e2722eb851 | /logic/basic.lean | 6023505857e4e6278cceea4d9a6b21063ffadff7 | [
"Apache-2.0"
] | permissive | rwbarton/mathlib | 939ae09bf8d6eb1331fc2f7e067d39567e10e33d | c13c5ea701bb1eec057e0a242d9f480a079105e9 | refs/heads/master | 1,584,015,335,862 | 1,524,142,167,000 | 1,524,142,167,000 | 130,614,171 | 0 | 0 | Apache-2.0 | 1,548,902,667,000 | 1,524,437,371,000 | Lean | UTF-8 | Lean | false | false | 22,064 | 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... |
50937d5f23ab5866e387224fbdfa9d5ec6006c8c | 54deab7025df5d2df4573383df7e1e5497b7a2c2 | /algebra/group_power.lean | 24b1bbf34508e90687bf44fc137a8e89c2d117b8 | [
"Apache-2.0"
] | permissive | HGldJ1966/mathlib | f8daac93a5b4ae805cfb0ecebac21a9ce9469009 | c5c5b504b918a6c5e91e372ee29ed754b0513e85 | refs/heads/master | 1,611,340,395,683 | 1,503,040,489,000 | 1,503,040,489,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 5,553 | lean | /-
Copyright (c) 2015 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Robert Y. Lewis
The power operation on monoids and groups. We separate this from group, because it depends on
nat, which in turn depends on other parts of algebra.
We h... |
7ed11365d4caf411e6dbe258ed750aab843b9c32 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/analysis/analytic/basic.lean | 02deec2c320b5728043983033e9b29272fe43777 | [
"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 | 60,560 | lean | /-
Copyright (c) 2020 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel, Yury Kudryashov
-/
import analysis.calculus.formal_multilinear_series
import analysis.specific_limits.normed
import logic.equiv.fin
/-!
# Analytic functions
A f... |
9987d0a5b47d829dbe41790ee8c9edbfe5e7d942 | a25cc44b447f2fbde61e4b848318762eb892f2bf | /src/basic.lean | aea950c2392b33db8df75d25abeb6c2910f13e6a | [] | no_license | NeilStrickland/itloc | 20f9b9bcaa4d5840f7f32e84108174b294d84b1a | 5b13b5b418766d10926b983eb3dd2ac42abf63d8 | refs/heads/master | 1,592,747,030,159 | 1,578,138,004,000 | 1,578,138,004,000 | 197,470,135 | 2 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 16,262 | lean | /-
Copyright (c) 2019 Neil Strickland. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Neil Strickland
This file effectively deals with the cartesian-closed category
of finite posets and the associated "strong homotopy category".
However, we have taken an ad hoc approa... |
98189d232af36ff33fefcfad7379cb8e0cab2cab | c45b34bfd44d8607a2e8762c926e3cfaa7436201 | /uexp/src/uexp/rules/pushAggregateThroughJoin3.lean | c77b12259347fcebf09f99740de9df444e3399cd | [
"BSD-2-Clause"
] | permissive | Shamrock-Frost/Cosette | b477c442c07e45082348a145f19ebb35a7f29392 | 24cbc4adebf627f13f5eac878f04ffa20d1209af | refs/heads/master | 1,619,721,304,969 | 1,526,082,841,000 | 1,526,082,841,000 | 121,695,605 | 1 | 0 | null | 1,518,737,210,000 | 1,518,737,210,000 | null | UTF-8 | Lean | false | false | 2,166 | lean | import ..sql
import ..tactics
import ..u_semiring
import ..extra_constants
import ..ucongr
import ..TDP
set_option profiler true
open Expr
open Proj
open Pred
open SQL
open tree
notation `int` := datatypes.int
variable integer_10: const datatypes.int
theorem rule:
forall ( Γ scm_t scm_account scm_bonus scm_dept sc... |
56207647e252167fa4c13a66bdb5a4430d29c774 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/category_theory/limits/pi.lean | f332f4f13ec6ef54f5844ad0f2e466acd95ce611 | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 4,616 | lean | /-
Copyright (c) 2020 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import category_theory.pi.basic
import category_theory.limits.has_limits
/-!
# Limits in the category of indexed families of objects.
> THIS FILE IS SYNCHRONIZED WI... |
2160387e81d2a233a403142649e7fac82acbfa85 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /library/data/list/perm.lean | 24be55f54c4d4f6d7d9ac6a2f8f890542e5d6d2e | [
"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 | 40,848 | lean | /-
Copyright (c) 2015 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura
List permutations.
-/
import data.list.basic data.list.set
open list setoid nat binary
variables {A B : Type}
inductive perm : list A → list A → Prop :=
| ni... |
6c4e5c784c55b336c80402fa446b61f67435fbc4 | 572fb32b6f5b7c2bf26921ffa2abea054cce881a | /src/week_1/Part_A_logic.lean | d987f38a7623ab932662788f588fd863c4bb8159 | [
"Apache-2.0"
] | permissive | kgeorgiy/lean-formalising-mathematics | 2deb30756d5a54bee1cfa64873e86f641c59c7dc | 73429a8ded68f641c896b6ba9342450d4d3ae50f | refs/heads/master | 1,683,029,640,682 | 1,621,403,041,000 | 1,621,403,041,000 | 367,790,347 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 11,626 | lean | -- We import all of Lean's standard tactics
import tactic
/-!
# Logic
We will develop the basic theory of following five basic logical symbols
* `→` ("implies" -- type with `\l`)
* `¬` ("not" -- type with `\not` or `\n`)
* `∧` ("and" -- type with `\and` or `\an`)
* `↔` ("iff" -- type with `\iff` or `\lr`)
* `∨` ("or... |
655b366535ce4b33644ac2c1e984d688ac1805c4 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/480.hlean | fac44c49e04ca7b5e988efee64878b732de714c9 | [
"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 | 32 | hlean | open is_trunc
check is_contr.mk
|
ec8483047be45600c1f7abda62e2e135fea1d932 | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/data/list/range.lean | db1b84bbe0e187d04ab6f473ff3c3677ae49ac92 | [
"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 | 9,015 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Kenny Lau, Scott Morrison
-/
import data.list.chain
import data.list.nodup
import data.list.of_fn
open nat
namespace list
/- iota and range(') -/
universe u
variabl... |
908f9cec8d8e47140003314abaa00077b518b837 | 54d7e71c3616d331b2ec3845d31deb08f3ff1dea | /library/init/algebra/order.lean | eabb7f6f815e06ff7356dbac815179a437448ce1 | [
"Apache-2.0"
] | permissive | pachugupta/lean | 6f3305c4292288311cc4ab4550060b17d49ffb1d | 0d02136a09ac4cf27b5c88361750e38e1f485a1a | refs/heads/master | 1,611,110,653,606 | 1,493,130,117,000 | 1,493,167,649,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 9,796 | 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.logic
/- Make sure instances defined in this file have lower priority than the ones
defined for concrete structures -/
set_option def... |
071d729799d5d48cb6403bb2391d883468c3bfa1 | 56762daf61566a2baf390b5d77988c29c75187e3 | /src/diffeomorph.lean | 329248d754a658d5ce05778a5837cbc9de390738 | [] | 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 | 2,264 | lean | import .preamble_results
variables {𝕜 : Type*} [nondiscrete_normed_field 𝕜]
{E : Type*} [normed_group E] [normed_space 𝕜 E]
{E' : Type*} [normed_group E'] [normed_space 𝕜 E']
{F : Type*} [normed_group F] [normed_space 𝕜 F]
{F' : Type*} [normed_group F'] [normed_space 𝕜 F']
{H : Type*} [topological_space H]
{H' :... |
0c7501fcff0740feea2d7f0e98c374ba0696280a | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /test/qpf.lean | b015723e205d61dac33b78bf4bb4bc3223180fd5 | [
"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 | 6,214 | lean | import data.qpf.univariate.basic
import control.bifunctor
universes u
variables {F : Type u → Type u} [functor F]
namespace qpf
section box
variables (F)
/-- apply a functor to a set of values. taken from
[Basil Fürer, Andreas Lochbihler, Joshua Schneider, Dmitriy Traytel *Quotients of Bounded Natural Functors*][f... |
f40a64ea3e5774f8cf7e4be01ad8420ec0b8f554 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/control/traversable/derive.lean | b15f65b7dc517e8b87f9a26512819e2663e9aedd | [
"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 | 17,031 | lean | /-
Copyright (c) 2018 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon
Automation to construct `traversable` instances
-/
import control.traversable.lemmas
namespace tactic.interactive
open tactic list monad functor
meta def with_prefix : opt... |
362404595cb4d3dbfcc6612023f8431a60abaa77 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/topology/algebra/order/t5.lean | 1faf616de80a7ea6c21708c156ddd30a84f54b9f | [
"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 | 4,379 | 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.algebra.order.basic
import data.set.intervals.ord_connected_component
/-!
# Linear order is a completely normal Hausdorff topological space
In thi... |
b7d0706975aab83f837ac780fdb24ded475ea675 | 1a61aba1b67cddccce19532a9596efe44be4285f | /hott/algebra/field.hlean | 39751c30242832afbb4d650702a103b927121adc | [
"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 | 19,026 | hlean | /-
Copyright (c) 2014 Robert Lewis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Robert Lewis
Structures with multiplicative and additive components, including division rings and fields.
The development is modeled after Isabelle's library.
Ported from the standard ... |
1e812edee0d3266d546d174bd9fc9f66f6d74d75 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/data/list/range.lean | 94e3d326fd7bdc0c67bb7bbedd38c1880b33713f | [
"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 | 10,935 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Kenny Lau, Scott Morrison
-/
import data.list.chain
import data.list.zip
/-!
# Ranges of naturals as lists
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to... |
13380c73728d8e3b36f32ce3786b2607d5f2f0e7 | 09b3e1beaeff2641ac75019c9f735d79d508071d | /Mathlib/Tactic/NormNum.lean | d78a22b8e737f8790682e344aae713eaf5d251be | [
"Apache-2.0"
] | permissive | abentkamp/mathlib4 | b819079cc46426b3c5c77413504b07541afacc19 | f8294a67548f8f3d1f5913677b070a2ef5bcf120 | refs/heads/master | 1,685,309,252,764 | 1,623,232,534,000 | 1,623,232,534,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,594 | lean | /-
Copyright (c) 2021 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
import Lean.Elab.Tactic.Basic
import Mathlib.Algebra.Ring.Basic
namespace Lean
namespace Meta
instance Semiring.OfNat [Semiring α] : OfNat α n := Numeric.OfNat
def... |
1d8de5e6d2556a49f2ef56fff5915ce2d3040d2a | 54ce0561cebde424526f41d45f490ed56be2bd0c | /src/game/ch2_Natural_Numbers/2_Addition.lean | 838407d80cb35f6088fa00f91c5c2a16d49328cd | [] | no_license | melembroucarlitos/Tao_Analysis-LEAN | cf7b3298d317891a09e4bf21cfe7c7ffcb57b9a9 | 3f4fc7e090d96b6cef64896492fba4bef124794b | refs/heads/master | 1,692,952,385,694 | 1,636,287,522,000 | 1,636,287,522,000 | 400,630,166 | 3 | 0 | null | 1,635,910,807,000 | 1,630,096,823,000 | Lean | UTF-8 | Lean | false | false | 160 | lean | -- Level name : Addition
/-
# Hey yall
## This is just to a placeholder to make sure all is working
these are some words
and these are some other words
-/
|
83e5f2252c29552a2d95206737ff28fb0c5d6840 | a721fe7446524f18ba361625fc01033d9c8b7a78 | /src/principia/myring/quotients.lean | 725a34aefeada762527dda3678e75ac7673e3fb1 | [] | 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 | 5,350 | lean | import .ideal
namespace hidden
namespace myring
-- at some point this could be done as a very general construction
-- of quotient groups, I suppose.
variables {α : Type} [myring α]
-- not exactly sure what the most principled type-classical approach is
-- because really we do want to be explicit about which ideal ... |
16fbb39e5296d089db9773e5aba32609adae0eea | e514e8b939af519a1d5e9b30a850769d058df4e9 | /test/rewrite_search_discovery.lean | e86417d08401b53ef428ec3e6a0c598ac5ba9f66 | [] | no_license | semorrison/lean-rewrite-search | dca317c5a52e170fb6ffc87c5ab767afb5e3e51a | e804b8f2753366b8957be839908230ee73f9e89f | refs/heads/master | 1,624,051,754,485 | 1,614,160,817,000 | 1,614,160,817,000 | 162,660,605 | 0 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 4,532 | lean | import tactic.rewrite_search
open tactic.rewrite_search.discovery
namespace tactic.rewrite_search.testing
@[bundle] meta def algebraic_geometry : bundle := {}
private axiom foo : [0] = [1]
private axiom bar1 : [1] = [2]
private axiom bar2 : [3] = [2]
private axiom bar3 : [3] = [4]
private def my_example (a : unit)... |
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