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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
8217006b7c8128a0e56e97980519fc50d810d494 | 32025d5c2d6e33ad3b6dd8a3c91e1e838066a7f7 | /tests/lean/run/termElab.lean | 87de15ec8991aea757442c4e124e798b6b3d2de0 | [
"Apache-2.0"
] | permissive | walterhu1015/lean4 | b2c71b688975177402758924eaa513475ed6ce72 | 2214d81e84646a905d0b20b032c89caf89c737ad | refs/heads/master | 1,671,342,096,906 | 1,599,695,985,000 | 1,599,695,985,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 684 | lean | import Lean
open Lean
open Lean.Elab
open Lean.Elab.Term
set_option trace.Elab.debug true
def tst1 : TermElabM Unit := do
opt ← getOptions;
stx ← `(forall (a b : Nat), Nat);
IO.println "message 1"; -- This message goes direct to stdio. It will be displayed before trace messages.
e ← elabTermAndSynthesize stx none;
l... |
63c253af0c3135e3afab8c3205315990d854603d | 2eab05920d6eeb06665e1a6df77b3157354316ad | /src/field_theory/is_alg_closed/basic.lean | 504e1f7043351ba0fae1e8d3426f0ca871f09a28 | [
"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 | 16,386 | 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 field_theory.splitting_field
/-!
# Algebraically Closed Field
In this file we define the typeclass for algebraically closed fields and algebraic closures,
and prove som... |
e851f1a1330939108cffc922a8ebd65ceb2ccd07 | 3618c6e11aa822fd542440674dfb9a7b9921dba0 | /src/multirelation/approach2/approach2.lean | bacccc3945ae90ae7f7f2d87280baee32734c9d5 | [] | no_license | ChrisHughes24/single_relation | 99ceedcc02d236ce46d6c65d72caa669857533c5 | 057e157a59de6d0e43b50fcb537d66792ec20450 | refs/heads/master | 1,683,652,062,698 | 1,683,360,089,000 | 1,683,360,089,000 | 279,346,432 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 11,481 | lean | import .free_group2
import data.buffer
import tactic.delta_instance
import data.list.min_max
import tactic.norm_num
-- This is the main file
namespace group_rel
open native free_group
-- use an rb_lmap
instance {α : Type} : inhabited (buffer α) := ⟨mk_buffer⟩
@[derive inhabited] structure relation : Type :=
(rel : f... |
d57a39045fa0d2e6883802e5a70999580b5958d2 | 367134ba5a65885e863bdc4507601606690974c1 | /src/order/complete_lattice.lean | a0dba1ebc3c9c28a4bf70b5146a407ecda3d8163 | [
"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 | 43,946 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
-/
import order.bounds
/-!
# Theory of complete lattices
## Main definitions
* `Sup` and `Inf` are the supremum and the infimum of a set;
* `supr (f : ι → α)` and `in... |
a971fc4dc3fc85b83f0e058bb4b974e5c013017e | bb31430994044506fa42fd667e2d556327e18dfe | /src/topology/algebra/infinite_sum.lean | 2ba8e2083616a0fa2ed2eed098ca8db89439e81c | [
"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 | 72,203 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
-/
import algebra.big_operators.intervals
import algebra.big_operators.nat_antidiagonal
import logic.encodable.lattice
import topology.algebra.mul_action
import topology... |
4b11c292af81c7bfc8e1064a0aa91fe2b395d517 | ed27983dd289b3bcad416f0b1927105d6ef19db8 | /src/inClassNotes/langs/bool_expr.lean | d001f3dba8aa879cceb0bc9a9436ed37a0ebd37d | [] | no_license | liuxin-James/complogic-s21 | 0d55b76dbe25024473d31d98b5b83655c365f811 | 13e03e0114626643b44015c654151fb651603486 | refs/heads/master | 1,681,109,264,463 | 1,618,848,261,000 | 1,618,848,261,000 | 337,599,491 | 0 | 0 | null | 1,613,141,619,000 | 1,612,925,555,000 | null | UTF-8 | Lean | false | false | 2,547 | lean | inductive bool_var : Type
| mk (n : nat)
open bool_var
/-
Abstract syntax
-/
inductive bool_expr : Type
| lit_expr : bool → bool_expr
| var_expr : bool_var → bool_expr
| and_expr : bool_expr → bool_expr → bool_expr
| or_expr : bool_expr → bool_expr → bool_expr
| impl_expr : bool_expr → bool_expr → bool_expr -- N... |
c5cb7665618b90f5be583413da4dda25428590cf | 367134ba5a65885e863bdc4507601606690974c1 | /src/algebra/star/chsh.lean | eba51d6804c5f4aad2b0fbf3dbfacb44940a9cea | [
"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 | 12,230 | 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.star.algebra
import algebra.algebra.ordered
import analysis.special_functions.pow
/-!
# The Clauser-Horne-Shimony-Holt inequality and Tsirelson's ine... |
282e5dc5be2a32d9691e6852b19e4ad57e4ea5ee | 618003631150032a5676f229d13a079ac875ff77 | /src/ring_theory/integral_domain.lean | 71ae02cd4c60519747140d094674c62321a57965 | [
"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 | 6,413 | lean | /-
Copyright (c) 2020 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin, Chris Hughes
-/
import data.fintype.card
import data.polynomial
import group_theory.order_of_element
import algebra.geom_sum
/-!
# Integral domains
-/
section
open ... |
1f6cb854a56d014393a5a093604c01322cf6df04 | ea5678cc400c34ff95b661fa26d15024e27ea8cd | /exponential_complex.lean | 3b693289b692944d3c70c56a2e1776fae61e9cbf | [] | no_license | ChrisHughes24/leanstuff | dca0b5349c3ed893e8792ffbd98cbcadaff20411 | 9efa85f72efaccd1d540385952a6acc18fce8687 | refs/heads/master | 1,654,883,241,759 | 1,652,873,885,000 | 1,652,873,885,000 | 134,599,537 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 14,737 | lean | import data.complex.basic data.real.cau_seq tactic.norm_num data.nat.basic tactic.ring algebra.archimedean
section a
open real nat is_absolute_value
noncomputable theory
local attribute [instance, priority 0] classical.prop_decidable
lemma pow_inv' {α : Type*} [discrete_field α] (a : α) (n : ℕ) : (monoid.pow a n)⁻¹ = ... |
bc7ca41a41c11ce05c254c2b450126d1ac5cc917 | bb31430994044506fa42fd667e2d556327e18dfe | /src/ring_theory/localization/fraction_ring.lean | f9b263c6817a57887dfb4a7c445f732602e1800a | [
"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 | 12,159 | lean | /-
Copyright (c) 2018 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau, Mario Carneiro, Johan Commelin, Amelia Livingston, Anne Baanen
-/
import algebra.algebra.tower
import ring_theory.localization.basic
/-!
# Fraction ring / fraction field Frac(R)... |
4ac910f07b19eab57557295c1ea5fc66c24eae02 | 27a31d06bcfc7c5d379fd04a08a9f5ed3f5302d4 | /stage0/src/Lean/Meta/GetConst.lean | a2c07f6600e5eb41cd9b069339f6b99a931e0e04 | [
"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 | joehendrix/lean4 | 0d1486945f7ca9fe225070374338f4f7e74bab03 | 1221bdd3c7d5395baa451ce8fdd2c2f8a00cbc8f | refs/heads/master | 1,640,573,727,861 | 1,639,662,710,000 | 1,639,665,515,000 | 198,893,504 | 0 | 0 | Apache-2.0 | 1,564,084,645,000 | 1,564,084,644,000 | null | UTF-8 | Lean | false | false | 1,421 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Meta.GlobalInstances
namespace Lean.Meta
private def getDefInfo (info : ConstantInfo) : MetaM (Option ConstantInfo) := do
match (← read).con... |
926647ab9997706c776d5323b77733dd86083d69 | 5ee26964f602030578ef0159d46145dd2e357ba5 | /src/for_mathlib/rings.lean | a1d743dc1bc6185f7aace424cfe84daedef70295 | [
"Apache-2.0"
] | permissive | fpvandoorn/lean-perfectoid-spaces | 569b4006fdfe491ca8b58dd817bb56138ada761f | 06cec51438b168837fc6e9268945735037fd1db6 | refs/heads/master | 1,590,154,571,918 | 1,557,685,392,000 | 1,557,685,392,000 | 186,363,547 | 0 | 0 | Apache-2.0 | 1,557,730,933,000 | 1,557,730,933,000 | null | UTF-8 | Lean | false | false | 3,079 | lean | import data.subtype data.equiv.algebra ring_theory.ideal_operations
universes u u₁ u₂ v v₁ w
section
variables {R : Type*} {S : Type*} [monoid R] [monoid S]
lemma mul_left_mul {G : Type*} [semigroup G] (x y : G) :
(*) (x * y) = (*) x ∘ (*) y :=
funext $ λ _, mul_assoc _ _ _
-- It seems that semigroup homs don't ... |
dbc53523b821adae32c5218deb5524edc4cd4c79 | 7cef822f3b952965621309e88eadf618da0c8ae9 | /src/tactic/finish.lean | e8c581bb830455b7cb01ab5f812abf81f52a63fc | [
"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 | 21,660 | lean | /-
Copyright (c) 2017 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Jesse Michael Han
-/
import logic.basic
/-!
# The `finish` family of tactics
These tactics do straightforward things: they call the simplifier, split conjunctive assum... |
2deb0f6853cb61f14ddfe9a0d10ac25fa00796f3 | 8cb37a089cdb4af3af9d8bf1002b417e407a8e9e | /library/init/meta/comp_value_tactics.lean | 5544389d6df2be4e3296c5eaabfabd4b04791810 | [
"Apache-2.0"
] | permissive | kbuzzard/lean | ae3c3db4bb462d750dbf7419b28bafb3ec983ef7 | ed1788fd674bb8991acffc8fca585ec746711928 | refs/heads/master | 1,620,983,366,617 | 1,618,937,600,000 | 1,618,937,600,000 | 359,886,396 | 1 | 0 | Apache-2.0 | 1,618,936,987,000 | 1,618,936,987,000 | null | UTF-8 | Lean | false | false | 2,613 | lean | /-
Copyright (c) 2016 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
prelude
import init.meta.tactic init.data.option.basic
meta constant mk_nat_val_ne_proof : expr → expr → option expr
meta constant mk_nat_val_lt_proof : ex... |
5ad9b5d4f74f2aff7088b253abb996e43b27c58a | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/tactic/slice.lean | 4fcc5044142fad7ba21c18564cf3c845bb0a6627 | [
"Apache-2.0"
] | permissive | jjgarzella/mathlib | 96a345378c4e0bf26cf604aed84f90329e4896a2 | 395d8716c3ad03747059d482090e2bb97db612c8 | refs/heads/master | 1,686,480,124,379 | 1,625,163,323,000 | 1,625,163,323,000 | 281,190,421 | 2 | 0 | Apache-2.0 | 1,595,268,170,000 | 1,595,268,169,000 | null | UTF-8 | Lean | false | false | 3,503 | lean | /-
Copyright (c) 2018 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import category_theory.category
open category_theory
-- TODO someone might like to generalise this tactic to work with other associative structures.
namespace tact... |
c1191c4550ba353795468536efde9a418c972150 | 367134ba5a65885e863bdc4507601606690974c1 | /src/tactic/simps.lean | f75a2d4b2d4c503687fe133ad596036fa6897ad0 | [
"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 | 32,517 | 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 tactic.core
/-!
# simps attribute
This file defines the `@[simps]` attribute, to automatically generate simp-lemmas
reducing a definition when projection... |
16effe59bd3df0593e0a62a992406ccfdfc9bde4 | 4efff1f47634ff19e2f786deadd394270a59ecd2 | /src/algebra/associated.lean | c819f9e316b0f91af369c3a6cb37ab8f3882d644 | [
"Apache-2.0"
] | permissive | agjftucker/mathlib | d634cd0d5256b6325e3c55bb7fb2403548371707 | 87fe50de17b00af533f72a102d0adefe4a2285e8 | refs/heads/master | 1,625,378,131,941 | 1,599,166,526,000 | 1,599,166,526,000 | 160,748,509 | 0 | 0 | Apache-2.0 | 1,544,141,789,000 | 1,544,141,789,000 | null | UTF-8 | Lean | false | false | 26,445 | lean | /-
Copyright (c) 2018 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Jens Wagemaker
-/
import data.multiset.basic
import algebra.divisibility
/-!
# Associated, prime, and irreducible elements.
-/
variables {α : Type*} {β : Type*} {γ : ... |
8dcf910e5a972d07ca409290ffccbf1887e0a8c4 | 32c054a763e4aa96bcb6e8bc87775e0f403a1804 | /src/spec/closed.lean | 34f93d710c452678e85ad4e3aabbe43acda2fbb2 | [
"LicenseRef-scancode-generic-cla",
"MIT"
] | permissive | Claudiusgonzo/AliveInLean | 7fac3f82722c27acc5551260ea12a36519f6e24e | a21bfb90dee0c6c6e00a955b6de92c631198c5ba | refs/heads/master | 1,635,381,727,801 | 1,555,783,536,000 | 1,555,783,536,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 20,288 | lean | -- Copyright (c) Microsoft Corporation. All rights reserved.
-- Licensed under the MIT license.
import ..smtexpr
import ..bitvector
import .spec
--import .lemmas
import .irstate
import .freevar
import .equiv
import smt2.syntax
import system.io
import init.meta.tactic
import init.meta.interactive
namespace spec
open... |
cdda46600ab56478c6d569808b3de6cbd4b28af3 | 82b86ba2ae0d5aed0f01f49c46db5afec0eb2bd7 | /stage0/src/Lean/Meta/Closure.lean | 128951060fc5802d5e5ba561c978c29420e21a80 | [
"Apache-2.0"
] | permissive | banksonian/lean4 | 3a2e6b0f1eb63aa56ff95b8d07b2f851072d54dc | 78da6b3aa2840693eea354a41e89fc5b212a5011 | refs/heads/master | 1,673,703,624,165 | 1,605,123,551,000 | 1,605,123,551,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 14,692 | 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 Std.ShareCommon
import Lean.MetavarContext
import Lean.Environment
import Lean.Util.FoldConsts
import Lean.Meta.Basic
import Lean.Meta.Check
/-
Thi... |
706806a579097f5f30b07237e64044a71bb6f9ba | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/geometry/euclidean/sphere/second_inter.lean | f036d3c70ebdd90acbb751ebe78383ce3d323f90 | [
"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 | 7,670 | lean | /-
Copyright (c) 2022 Joseph Myers. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Myers
-/
import geometry.euclidean.sphere.basic
/-!
# Second intersection of a sphere and a line
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file require a ... |
51f2c225faeae7c60ecd490071b698d4da861119 | 1446f520c1db37e157b631385707cc28a17a595e | /stage0/src/Init/Lean/Elab/Tactic/Basic.lean | d38461a9d133dba710dfc69146855110ca443159 | [
"Apache-2.0"
] | permissive | bdbabiak/lean4 | cab06b8a2606d99a168dd279efdd404edb4e825a | 3f4d0d78b2ce3ef541cb643bbe21496bd6b057ac | refs/heads/master | 1,615,045,275,530 | 1,583,793,696,000 | 1,583,793,696,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 19,526 | 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
-/
prelude
import Init.Lean.Util.CollectMVars
import Init.Lean.Meta.Tactic.Assumption
import Init.Lean.Meta.Tactic.Intro
import Init.Lean.Me... |
ee13b729bad27febe2688b647c3630dda6784494 | 329788bf44a766cbceec47f6d3a91aeee20146cf | /src/fg_quotient.lean | 74741b9edeb9f339a5ca4a574aa4fb396838553f | [] | no_license | jamiebell2805/BSD-conjecture | ca69613bb4b0d7051575ff6a7528ccace1bf9c6b | 74aa51f13750868b7011e397576d6f8035d69360 | refs/heads/master | 1,685,937,124,285 | 1,624,744,421,000 | 1,624,744,421,000 | 364,047,425 | 7 | 0 | null | 1,624,482,924,000 | 1,620,072,330,000 | Lean | UTF-8 | Lean | false | false | 1,159 | lean | import group_theory.subgroup
import group_theory.finiteness
import group_theory.quotient_group
import algebra.group.hom
import tactic
import init.function
variables (G H: Type*)[group G][group H](N : subgroup G)[subgroup.normal N](f : monoid_hom G H)(S : set G)
variables (A : Type*)[add_comm_group A](B : add_subgroup ... |
76f5b0247f411aef896e5356772d32ccb86e0f96 | 07c76fbd96ea1786cc6392fa834be62643cea420 | /hott/hit/trunc.hlean | f6a0c024c594d7c8213b9587bba422b6f898c86d | [
"Apache-2.0"
] | permissive | fpvandoorn/lean2 | 5a430a153b570bf70dc8526d06f18fc000a60ad9 | 0889cf65b7b3cebfb8831b8731d89c2453dd1e9f | refs/heads/master | 1,592,036,508,364 | 1,545,093,958,000 | 1,545,093,958,000 | 75,436,854 | 0 | 0 | null | 1,480,718,780,000 | 1,480,718,780,000 | null | UTF-8 | Lean | false | false | 5,863 | hlean | /-
Copyright (c) 2015 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn
n-truncation of types.
Ported from Coq HoTT
-/
/- The hit n-truncation is primitive, declared in init.hit. -/
import types.sigma types.pointed
open is_trunc eq ... |
e6481df5ab7c05cc017a77a97e1b860668bc01eb | 7cef822f3b952965621309e88eadf618da0c8ae9 | /src/algebra/continued_fractions/basic.lean | bb8c9c75cf7bef6de2cf7d51bdf5a5233598d651 | [
"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 | 12,612 | 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
/-!
# Basic Definitions/Theorems for Continued Fractions
## Summary
We define generalised, simple, and regular continued fractions and funct... |
7cfdf5132bdb8d40e0692279f821d5c033659086 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/tactic/simp_command.lean | 4efa12a9d7aea2d632ac1bf8d531c7c6e6434e54 | [
"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 | 4,927 | lean | /-
Copyright (c) 2020 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Keeley Hoek, Scott Morrison
-/
import tactic.core
/-!
## #simp
A user command to run the simplifier.
-/
namespace tactic
/-- Strip all annotations of non local constants in the pass... |
1478a369878bfcfd065bb19281a62a3de99689dc | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/data/nat/lattice.lean | f6341a98e5162510fdc56b0e3bf964fd16cd5761 | [
"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 | 6,958 | lean | /-
Copyright (c) 2018 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Floris van Doorn, Gabriel Ebner, Yury Kudryashov
-/
import data.nat.enat
import order.conditionally_complete_lattice
/-!
# Conditionally complete linear order structur... |
35860462108cd8f331dc838ccdaf419881ff5f68 | 8b9f17008684d796c8022dab552e42f0cb6fb347 | /library/algebra/category/adjoint.lean | bb41d6014edaccc95f03898b41740a1bf9e79ce7 | [
"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 | 549 | lean | /-
Copyright (c) 2014 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Module: algebra.category.adjoint
Author: Floris van Doorn
-/
import .constructions
open eq eq.ops category functor natural_transformation category.ops prod category.product
namespace adjo... |
7ce711d7bda5198eb30f9e389af9fc2770427ef8 | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /hott/algebra/category/groupoid.hlean | 4642a7d9a0ab59613088e122b5b45f5556f8e1e7 | [
"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 | 2,700 | hlean | /-
Copyright (c) 2014 Jakob von Raumer. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jakob von Raumer, Floris van Doorn
Ported from Coq HoTT
-/
import .iso algebra.group
open eq is_trunc iso category algebra nat unit
namespace category
structure groupoid [clas... |
6b64870b67ce7f994aa26d851fa3fc3f9494e62c | 4fa118f6209450d4e8d058790e2967337811b2b5 | /src/for_mathlib/padics.lean | 6f8358ffa9cb907269574993a53af8e950889990 | [
"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 | 12,872 | lean | import data.padics
import ring_theory.noetherian
import for_mathlib.group_with_zero
import for_mathlib.ideal_operations
noncomputable theory
open_locale classical
variables {p : ℕ} [nat.prime p]
local attribute [-simp] padic.cast_eq_of_rat_of_nat
namespace padic_seq
def valuation (f : padic_seq p) : ℤ :=
if hf : ... |
8ab543fecae5ae2f2844d4eb1904a2ce97b049c4 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/analysis/normed/group/infinite_sum.lean | 55b14a764317c49af81b3dccabc7256988bee2cd | [
"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 | 7,687 | lean | /-
Copyright (c) 2021 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel, Heather Macbeth, Johannes Hölzl, Yury Kudryashov
-/
import analysis.normed.group.basic
import topology.instances.nnreal
/-!
# Infinite sums in (semi)normed group... |
641f6bff164a0b7e2e52cbf134cd4d149a0285ad | 592ee40978ac7604005a4e0d35bbc4b467389241 | /Library/generated/mathscheme-lean/LeftRack.lean | 8727e4b7781ce68f28df6071dc11aaf20cf72600 | [] | no_license | ysharoda/Deriving-Definitions | 3e149e6641fae440badd35ac110a0bd705a49ad2 | dfecb27572022de3d4aa702cae8db19957523a59 | refs/heads/master | 1,679,127,857,700 | 1,615,939,007,000 | 1,615,939,007,000 | 229,785,731 | 4 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 8,421 | lean | import init.data.nat.basic
import init.data.fin.basic
import data.vector
import .Prelude
open Staged
open nat
open fin
open vector
section LeftRack
structure LeftRack (A : Type) : Type :=
(linv : (A → (A → A)))
(rinv : (A → (A → A)))
(leftDistributive : (∀ {x y z : A} , (linv x (linv y z)) =... |
6c29910d6bc7e1f5bb13fd777f184d830c1264b1 | 785b41b0993f39cbfa9b02fe0940ce3f2f51a57d | /conf/k2p.lean | 93419c269111c9fea0098f3ff09ac69077b360f6 | [
"MIT"
] | permissive | loso3000/OpenWrt-DIY-1 | 75b0d70314d703203508218a29acefc3b914d32d | 5858be81ee44199908cbaa1a752b17505c9834e8 | refs/heads/main | 1,690,532,461,283 | 1,631,008,241,000 | 1,631,008,241,000 | 354,817,508 | 1 | 0 | MIT | 1,617,623,493,000 | 1,617,623,492,000 | null | UTF-8 | Lean | false | false | 5,900 | lean | CONFIG_TARGET_ramips=y
CONFIG_TARGET_ramips_mt7621=y
CONFIG_TARGET_ramips_mt7621_DEVICE_phicomm_k2p=y
# 不压缩efi
# CONFIG_TARGET_IMAGES_GZIP is not set
# CONFIG_EFI_IMAGES=y
# ipv6
CONFIG_PACKAGE_ipv6helper=y
CONFIG_PACKAGE_dnsmasq_full_dhcpv6=y
# file system
CONFIG_PACKAGE_kmod-fs-antfs=y
# CONFIG_PACKAGE_km... |
345880cde647f9fb74656861718311781f150383 | 30b012bb72d640ec30c8fdd4c45fdfa67beb012c | /category_theory/types.lean | 57dc55218d7b3e566c05310f2104fd83bee72d7e | [
"Apache-2.0"
] | permissive | kckennylau/mathlib | 21fb810b701b10d6606d9002a4004f7672262e83 | 47b3477e20ffb5a06588dd3abb01fe0fe3205646 | refs/heads/master | 1,634,976,409,281 | 1,542,042,832,000 | 1,542,319,733,000 | 109,560,458 | 0 | 0 | Apache-2.0 | 1,542,369,208,000 | 1,509,867,494,000 | Lean | UTF-8 | Lean | false | false | 2,091 | lean | -- Copyright (c) 2017 Scott Morrison. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Authors: Stephen Morgan, Scott Morrison, Johannes Hölzl
import category_theory.functor_category category_theory.embedding
namespace category_theory
universes u v u' v' w
instance type... |
3938a70cdea03a6728b364eac2c464f4f27fbc06 | 1dd482be3f611941db7801003235dc84147ec60a | /src/field_theory/subfield.lean | 6ae3b5daad7d2d3185425c30c0495f486fcadbed | [
"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 | 499 | lean | /-
Copyright (c) 2018 Andreas Swerdlow. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Andreas Swerdlow
-/
import ring_theory.subring
variables {F : Type*} [field F] (s : set F)
class is_subfield extends is_subring s : Prop :=
(inv_mem : ∀ {x : F}, x ∈ s → x⁻¹ ∈ s)
... |
c7dff89502c1a6dc30bd5639c64475ddf264b96b | 302c785c90d40ad3d6be43d33bc6a558354cc2cf | /src/linear_algebra/tensor_product.lean | 8e2ee07ec85fa029ddd3c605d03492f8ce2ab67c | [
"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 | 36,166 | lean | /-
Copyright (c) 2018 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau, Mario Carneiro
-/
import group_theory.congruence
import linear_algebra.basic
/-!
# Tensor product of semimodules over commutative semirings.
This file constructs the tensor pr... |
281f10bbf652ea0e3ab3224e284b888d84664456 | 367134ba5a65885e863bdc4507601606690974c1 | /src/number_theory/lucas_lehmer.lean | 7411389616eb12d173974619ddcd50bcde8977ac | [
"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 | 17,268 | lean | /-
Copyright (c) 2020 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Mario Carneiro, Scott Morrison, Ainsley Pahljina
-/
import tactic.ring_exp
import tactic.interval_cases
import data.nat.parity
import data.zmod.basic
import group_theory.order_of_elemen... |
ec4b22ce2c9dd2b53401b89632ba0d2593bfbd5f | 1abd1ed12aa68b375cdef28959f39531c6e95b84 | /src/linear_algebra/affine_space/affine_map.lean | ed7ef86b964d412b91e3fecc47b163f03212b0ef | [
"Apache-2.0"
] | permissive | jumpy4/mathlib | d3829e75173012833e9f15ac16e481e17596de0f | af36f1a35f279f0e5b3c2a77647c6bf2cfd51a13 | refs/heads/master | 1,693,508,842,818 | 1,636,203,271,000 | 1,636,203,271,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 21,778 | lean | /-
Copyright (c) 2020 Joseph Myers. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Myers
-/
import linear_algebra.affine_space.basic
import linear_algebra.tensor_product
import linear_algebra.prod
import linear_algebra.pi
import data.set.intervals.unordered_inte... |
2e5ccb1e14bde104bfdd9e4cde6846f282271b99 | 69d4931b605e11ca61881fc4f66db50a0a875e39 | /src/topology/category/Profinite/default.lean | 742c0617b76ec90795d030afd17e09ad7cb72a97 | [
"Apache-2.0"
] | permissive | abentkamp/mathlib | d9a75d291ec09f4637b0f30cc3880ffb07549ee5 | 5360e476391508e092b5a1e5210bd0ed22dc0755 | refs/heads/master | 1,682,382,954,948 | 1,622,106,077,000 | 1,622,106,077,000 | 149,285,665 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 9,541 | lean | /-
Copyright (c) 2020 Kevin Buzzard. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kevin Buzzard, Calle Sönne
-/
import topology.category.CompHaus
import topology.connected
import topology.subset_properties
import category_theory.adjunction.reflective
import category... |
409cc210573c3ae8ee6a313a51d01a54e4b0a16a | 495c02489c2d6a1db94dfdba71dd800d3cc67df2 | /migrated/fin.lean | ff90ab57d5911600682ee052fc02d9fdbed1bbaa | [] | no_license | leodemoura/leanproved | e0fcbe4f4d72bf0dad9a962ed111b5975cf90712 | de56e0af159dd0c0421733289c76aa79c78a0191 | refs/heads/master | 1,606,822,676,898 | 1,435,711,541,000 | 1,435,711,541,000 | 36,675,856 | 0 | 0 | null | 1,433,178,724,000 | 1,433,178,724,000 | null | UTF-8 | Lean | false | false | 7,321 | lean | /-
Copyright (c) 2015 Haitao Zhang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author : Haitao Zhang
-/
import data algebra.group
open fin nat function eq.ops
namespace migration
section
variable {n : nat}
lemma eq_of_veq : ∀ {i j : fin n}, (val i) = j → i = j
| (mk iv ... |
6dcd1a306abf8ade5eddad665fe5350483cf1d8f | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/topology/fiber_bundle.lean | b3350fdf80eafc85a2503ad1e8e2ad379a120e62 | [
"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 | 66,340 | 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.bundle
import topology.algebra.order.basic
import topology.local_homeomorph
/-!
# Fiber bundles
A topological fiber bundle with fiber `F` over a b... |
3f45e4f054d6ad640920edf5ae3934ec07983caf | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/893.hlean | c3eec150a01b58da9cd4816740b81c2e1c711c6e | [
"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 | 138 | hlean | example {A : Type} (f : A → A) (a : A) (H : f a = a) : unit :=
begin
induction H, -- this should raise an error
exact unit.star
end
|
b37131e2f465ebe5188f2a2c44ebf87f5c104f48 | 432d948a4d3d242fdfb44b81c9e1b1baacd58617 | /src/topology/continuous_function/weierstrass.lean | 8da7a9e2d0f83a81f4c2f907d86122ab146cb772 | [
"Apache-2.0"
] | permissive | JLimperg/aesop3 | 306cc6570c556568897ed2e508c8869667252e8a | a4a116f650cc7403428e72bd2e2c4cda300fe03f | refs/heads/master | 1,682,884,916,368 | 1,620,320,033,000 | 1,620,320,033,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 5,493 | lean | /-
Copyright (c) 2021 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import algebra.algebra.subalgebra
import topology.algebra.polynomial
import topology.continuous_function.bounded
import analysis.special_functions.bernstein
/-!
# Th... |
74ba5eaa4afb074e97e287562fa310dd9607513d | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/control/equiv_functor.lean | b5588efafca507c53616e66190af825b4d635349 | [
"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 | 3,388 | 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 logic.equiv.defs
/-!
# Functions functorial with respect to equivalences
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file require a corr... |
460bbe0ae207456dec67faa8d213ab7e1df5b29c | 3dc4623269159d02a444fe898d33e8c7e7e9461b | /.github/workflows/project_1_a_decrire/lean-scheme-submission/src/sheaves/sheaf_of_rings.lean | a607eee4a073f5b88b2cb0939f11bc059244babf | [] | 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 | 657 | lean | /-
Sheaf of rings.
https://stacks.math.columbia.edu/tag/0071
-/
import sheaves.sheaf
import sheaves.presheaf_of_rings
universes u
-- A sheaf of rings is essentially a sheaf of types because we assume that the
-- category of commutative rings has limits (proved later). This is tag 0073.
structure sheaf_of_ri... |
b87ca77f5f7cd0075fa17afcf959ea447bbc5df3 | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /stage0/src/Lean/Meta/Tactic/FVarSubst.lean | e502987efcc540c8fa52440a5887bfb8628b88e9 | [
"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 | 2,312 | 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 Std.Data.AssocList
import Lean.Expr
import Lean.LocalContext
import Lean.Util.ReplaceExpr
namespace Lean.Meta
/--
Some tactics substitute hypothes... |
86ab3f1ab50d58f9343c5b40e7d61871a5aa6423 | 7cef822f3b952965621309e88eadf618da0c8ae9 | /src/field_theory/splitting_field.lean | a81298b2cae5aadff451cd6a6010d28a690a75ec | [
"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 | 7,798 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes
Definition of splitting fields, and definition of homomorphism into any field that splits
-/
import ring_theory.unique_factorization_domain
import data.polynomial ring_the... |
7ea862baf964b0af0304773ec6110da62fb27592 | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /tests/lean/run/have3.lean | 20c9adcf6e67427fd2b10f50e532c0e31df869a2 | [
"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 | 245 | lean | prelude
definition Prop : Type.{1} := Type.{0}
constants a b c : Prop
axiom Ha : a
axiom Hb : b
axiom Hc : c
check have H1 : a, from Ha,
then have H2 : a, from H1,
then have H3 : a, from H2,
then have H4 : a, from H3,
H4
|
6a5c6f02079a8da509334e2cb1d1efbf22c7ed98 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/data/rat/denumerable.lean | 3308212f9f56bb5ff66f55f8f2bcca7018f8b3df | [] | 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 | 929 | lean | /-
Copyright (c) 2019 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Chris Hughes
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.data.rat.default
import Mathlib.set_theory.cardinal
import Mathlib.PostPort
namespace Mathlib
... |
00907adfa9caef4d82840b65b69f8d85f92b6440 | 77c5b91fae1b966ddd1db969ba37b6f0e4901e88 | /src/algebra/covariant_and_contravariant.lean | 2ca9655c470c9c9c541df9d7c403763462bb5c13 | [
"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 | 11,995 | lean | /-
Copyright (c) 2021 Damiano Testa. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Damiano Testa
-/
import algebra.group.defs
/-!
# Covariants and contravariants
This file contains general lemmas and instances to work with the interactions between a relation and
a... |
1dbf0d158b162ee5920ea970698daff908e1cee5 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/ring_theory/integral_domain.lean | 90f9b905daf1de1751a2e7271d4af3e868075849 | [
"Apache-2.0"
] | permissive | jcommelin/mathlib | d8456447c36c176e14d96d9e76f39841f69d2d9b | ee8279351a2e434c2852345c51b728d22af5a156 | refs/heads/master | 1,664,782,136,488 | 1,663,638,983,000 | 1,663,638,983,000 | 132,563,656 | 0 | 0 | Apache-2.0 | 1,663,599,929,000 | 1,525,760,539,000 | Lean | UTF-8 | Lean | false | false | 8,340 | lean | /-
Copyright (c) 2020 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin, Chris Hughes
-/
import data.fintype.card
import data.polynomial.ring_division
import group_theory.specific_groups.cyclic
import algebra.geom_sum
/-!
# Integral domain... |
483521717962c2a7f3c2ef17374e52a18c6921db | 07c6143268cfb72beccd1cc35735d424ebcb187b | /src/analysis/normed_space/bounded_linear_maps.lean | 5a92dd1d627ec45bb4f87627b5557498de88c750 | [
"Apache-2.0"
] | permissive | khoek/mathlib | bc49a842910af13a3c372748310e86467d1dc766 | aa55f8b50354b3e11ba64792dcb06cccb2d8ee28 | refs/heads/master | 1,588,232,063,837 | 1,587,304,803,000 | 1,587,304,803,000 | 176,688,517 | 0 | 0 | Apache-2.0 | 1,553,070,585,000 | 1,553,070,585,000 | null | UTF-8 | Lean | false | false | 19,546 | lean | /-
Copyright (c) 2018 Patrick Massot. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Patrick Massot, Johannes Hölzl
Continuous linear functions -- functions between normed vector spaces which are bounded and linear.
-/
import algebra.field
import analysis.normed_space... |
00e31c495038e0de863b041e28d74acab845fd5f | 4c630d016e43ace8c5f476a5070a471130c8a411 | /category/traversable/instances.lean | 914aa29a09a9acc272b29d3a003310e50b64e401 | [
"Apache-2.0"
] | permissive | ngamt/mathlib | 9a510c391694dc43eec969914e2a0e20b272d172 | 58909bd424209739a2214961eefaa012fb8a18d2 | refs/heads/master | 1,585,942,993,674 | 1,540,739,585,000 | 1,540,916,815,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 6,102 | lean | /-
Copyright (c) 2018 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Simon Hudon
Instances of `traversable` for types from the core library
-/
import category.traversable.basic category.basic category.functor category.applicative
import data.list.basic da... |
041ce9caa7160af9fecb803370fd2059af8c864a | 2a70b774d16dbdf5a533432ee0ebab6838df0948 | /_target/deps/mathlib/src/algebra/group/prod.lean | b503a26cf2d93f4849b8d46632e967c3922fd9f5 | [
"Apache-2.0"
] | permissive | hjvromen/lewis | 40b035973df7c77ebf927afab7878c76d05ff758 | 105b675f73630f028ad5d890897a51b3c1146fb0 | refs/heads/master | 1,677,944,636,343 | 1,676,555,301,000 | 1,676,555,301,000 | 327,553,599 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 10,927 | lean | /-
Copyright (c) 2020 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon, Patrick Massot, Yury Kudryashov
-/
import algebra.group.hom
import data.equiv.mul_add
import data.prod
/-!
# Monoid, group etc structures on `M × N`
In this file we def... |
2e712bdfa5cbc256c46c8ea92989ebbb1d2e1023 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/linear_algebra/pi_tensor_product.lean | c2314e9899dd421a4c767b570b10fb13376a1916 | [
"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 | 24,134 | lean | /-
Copyright (c) 2020 Frédéric Dupuis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Frédéric Dupuis, Eric Wieser
-/
import group_theory.congruence
import linear_algebra.multilinear.tensor_product
/-!
# Tensor product of an indexed family of modules over commutative... |
9b5108a907f42e7d8417b3b4d8744c42678db454 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/data/buffer/basic.lean | fe4df9b0ffeefcf8d872fe681210fc850bb85e9b | [
"Apache-2.0"
] | permissive | alreadydone/mathlib | dc0be621c6c8208c581f5170a8216c5ba6721927 | c982179ec21091d3e102d8a5d9f5fe06c8fafb73 | refs/heads/master | 1,685,523,275,196 | 1,670,184,141,000 | 1,670,184,141,000 | 287,574,545 | 0 | 0 | Apache-2.0 | 1,670,290,714,000 | 1,597,421,623,000 | Lean | UTF-8 | Lean | false | false | 7,327 | lean | /-
Copyright (c) 2018 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon
General utility functions for buffers.
-/
import data.array.lemmas
import control.traversable.instances
namespace buffer
open function
variables {α : Type*} {xs : list α}
... |
5eafc0abe64c9e65dc269218c62dc4504a89a76d | d642a6b1261b2cbe691e53561ac777b924751b63 | /src/order/filter/basic.lean | fcb4cf1655de89a6a11976b1a611412a3b708379 | [
"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 | 82,940 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Jeremy Avigad
Theory of filters on sets.
-/
import order.galois_connection order.zorn
import data.set.finite
open lattice set
universes u v w x y
open_locale classic... |
ff1884d9f8b73660854c6b9d9721ed03edaedaf9 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/category_theory/adjunction/fully_faithful.lean | f81154ec23b0b09d289186dba56af262c4dfdccc | [
"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 | 4,297 | 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.adjunction.basic
import category_theory.conj
import category_theory.yoneda
open category_theory
namespace category_theory
universes v₁ v₂ u₁ ... |
c543266e35ddc4486d998c17c9dce9fbbcc86553 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/logic/basic.lean | 4eb9f388c4c4cb8c392cb7a871234a8d4307714d | [
"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 | 66,146 | 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
-/
import tactic.doc_commands
import tactic.reserved_notation
/-!
# Basic logic properties
This file is one of the earliest imports in mathlib.
## Im... |
c15f02ba047c991a7960e9c1d65eed7a33a47cbf | 08bd4ba4ca87dba1f09d2c96a26f5d65da81f4b4 | /src/Init/SimpLemmas.lean | e3282c703df0a24c91df0fae7a74e74ceebeacd7 | [
"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 | 9,197 | 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
notation, basic datatypes and type classes
-/
prelude
import Init.Core
set_option linter.missingDocs true -- keep it documented
theorem of_eq_true (h : p = T... |
6dfef155b505355e4249cd85589bd9897830d585 | 32025d5c2d6e33ad3b6dd8a3c91e1e838066a7f7 | /stage0/src/Lean/Elab/Tactic.lean | 5c244d087d2b7ea1321efdd6026fd6130867f745 | [
"Apache-2.0"
] | permissive | walterhu1015/lean4 | b2c71b688975177402758924eaa513475ed6ce72 | 2214d81e84646a905d0b20b032c89caf89c737ad | refs/heads/master | 1,671,342,096,906 | 1,599,695,985,000 | 1,599,695,985,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 433 | 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.Elab.Term
import Lean.Elab.Tactic.Basic
import Lean.Elab.Tactic.ElabTerm
import Lean.Elab.Tactic.Induction
import Lean.Elab.T... |
c9531fe2c5ad6cf8172b6e263dd37f07bb01ffc2 | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /tests/lean/run/typeclass_metas_internal_goals2.lean | 63a6b6198ff2dba53f35bf7045a18929a1484f69 | [
"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 | 363 | lean |
class Foo (α β : Type) : Type := (u : Unit := ())
class Bar (α β : Type) : Type := (u : Unit := ())
class Top : Type := (u : Unit := ())
instance FooNatA (β : Type) : Foo Nat β := {u:=()}
instance BarANat (α : Type) : Bar α Nat := {u:=()}
instance FooBarToTop (α β : Type) [Foo α β] [Bar α β] : Top := {u:=()}
set_op... |
083c95f9a025a7be1c4664ecb13d44fa5f8f5d90 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/category_theory/limits/opposites.lean | 31969730fda8557a4d8256dd10827c4fe75dadac | [] | 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 | 3,296 | lean | /-
Copyright (c) 2019 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison, Floris van Doorn
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.category_theory.limits.shapes.products
import Mathlib.category_theory.dis... |
41a67f235eed99453834fe8bc5a2273f123c6eb0 | 957a80ea22c5abb4f4670b250d55534d9db99108 | /tests/lean/string_imp.lean | 4deb3bc27962a3036b656352fb9c91148b3244c3 | [
"Apache-2.0"
] | permissive | GaloisInc/lean | aa1e64d604051e602fcf4610061314b9a37ab8cd | f1ec117a24459b59c6ff9e56a1d09d9e9e60a6c0 | refs/heads/master | 1,592,202,909,807 | 1,504,624,387,000 | 1,504,624,387,000 | 75,319,626 | 2 | 1 | Apache-2.0 | 1,539,290,164,000 | 1,480,616,104,000 | C++ | UTF-8 | Lean | false | false | 289 | lean | def f : string → list char
| ⟨d⟩ := d -- ERROR string implementation is sealed
def g : string → list char
| (string_imp.mk d) := d -- ERROR string implementation is sealed
def h (s : string) : list char :=
string_imp.cases_on s (λ d, d) -- ERROR string implementation is sealed
|
6ea648277653f0ab5e6015b3f54ab6f29ea074af | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /src/Lean/Compiler/NoncomputableAttr.lean | e5ebc2fe33d6ffcaa9bca3749412c2613d183769 | [
"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 | 855 | 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.Environment
namespace Lean
builtin_initialize noncomputableExt : TagDeclarationExtension ← mkTagDeclarationExtension `noncomputable
/-- Mark ... |
2518a3427556043c741946a44dc15dbd2a2e7172 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/category_theory/essential_image.lean | c37336e2295e019e2aebb77d870f2cc054b7ae5c | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 5,459 | 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.natural_isomorphism
import category_theory.full_subcategory
/-!
# Essential image of a functor
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any c... |
8ff483423721316e988a8a07471fd49af68fd3ca | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/algebraic_geometry/Scheme_auto.lean | b5d51f7133286d8fa97ae270e44d246b3ea1b28f | [] | 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 | 5,798 | lean | /-
Copyright (c) 2020 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.algebraic_geometry.Spec
import Mathlib.PostPort
universes u_1 l
namespace Mathlib
/-!
#... |
fe564b12925bebcf69267cd69001436a8c79cd9e | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/analysis/bounded_variation.lean | 252ed7aa1747e94a923d97db9b897e43c631cd7b | [
"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 | 46,991 | lean | /-
Copyright (c) 2022 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import analysis.calculus.deriv.add
import analysis.calculus.fderiv.equiv
import analysis.calculus.fderiv.prod
import analysis.calculus.monotone
import data.set.... |
9e6c9c923fc48d9ddf09ca5d9761c7b86ce386ed | d1a52c3f208fa42c41df8278c3d280f075eb020c | /stage0/src/Lean/Elab/GenInjective.lean | 4ed70fed2d5506ae776a79959adaf394d5fc7e86 | [
"Apache-2.0",
"LLVM-exception",
"NCSA",
"LGPL-3.0-only",
"LicenseRef-scancode-inner-net-2.0",
"BSD-3-Clause",
"LGPL-2.0-or-later",
"Spencer-94",
"LGPL-2.1-or-later",
"HPND",
"LicenseRef-scancode-pcre",
"ISC",
"LGPL-2.1-only",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | cipher1024/lean4 | 6e1f98bb58e7a92b28f5364eb38a14c8d0aae393 | 69114d3b50806264ef35b57394391c3e738a9822 | refs/heads/master | 1,642,227,983,603 | 1,642,011,696,000 | 1,642,011,696,000 | 228,607,691 | 0 | 0 | Apache-2.0 | 1,576,584,269,000 | 1,576,584,268,000 | null | UTF-8 | Lean | false | false | 489 | 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.Elab.Command
import Lean.Meta.Injective
namespace Lean.Elab.Command
@[builtinCommandElab genInjectiveTheorems] def elabGenInjectiveTheorems : ... |
908032f54c1ead7543c96461e4662619e6b6b4a1 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/logic/equiv/set.lean | 57301d46efd97fd3e8f37a913fc3fcc60fc3513b | [
"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 | 25,634 | 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, Mario Carneiro
-/
import data.set.function
import logic.equiv.basic
/-!
# Equivalences and sets
In this file we provide lemmas linking equivalences to sets.... |
043cfba27ed594c34f47a12644379a7743cc30da | 6fbf10071e62af7238f2de8f9aa83d55d8763907 | /examples/equality_properties.lean | 131f5c4d7a755dbe0dce1d4db0f16e3a47148386 | [] | no_license | HasanMukati/uva-cs-dm-s19 | ee5aad4568a3ca330c2738ed579c30e1308b03b0 | 3e7177682acdb56a2d16914e0344c10335583dcf | refs/heads/master | 1,596,946,213,130 | 1,568,221,949,000 | 1,568,221,949,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,889 | lean | example: ∀ (P Q R: Prop), (P → Q → R) → (P ∧ Q → R) :=
begin
assume P Q R,
assume pfPimpQimpR,
assume pfPandQ,
have pfQimpR := pfPimpQimpR pfPandQ.1,
exact pfQimpR pfPandQ.2,
end
example: ∀ (P Q R: Prop), (P ∧ Q → R) → (P → Q → R) :=
begin
assume P Q R,
assume pfPandQimpR,
assume pfP,
assume pfQ,
... |
f5d60a1075b3521bc50820caccbe158447675a52 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/topology/sheaves/operations.lean | 8358d44973eb9967c4b422ba1d9cd25d549555fe | [
"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 | 3,978 | lean | /-
Copyright (c) 2022 Andrew Yang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Andrew Yang
-/
import algebra.category.Ring.instances
import algebra.category.Ring.filtered_colimits
import ring_theory.localization.basic
import topology.sheaves.stalks
/-!
# Operation... |
d0f9657b6242d8ce430be8d5c5c897cc94c97f72 | 592ee40978ac7604005a4e0d35bbc4b467389241 | /Library/generated/mathscheme-lean/DualSemilattices.lean | 55f6698aaf04b97fba0e1646ee5c5f0670111892 | [] | no_license | ysharoda/Deriving-Definitions | 3e149e6641fae440badd35ac110a0bd705a49ad2 | dfecb27572022de3d4aa702cae8db19957523a59 | refs/heads/master | 1,679,127,857,700 | 1,615,939,007,000 | 1,615,939,007,000 | 229,785,731 | 4 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 9,938 | lean | import init.data.nat.basic
import init.data.fin.basic
import data.vector
import .Prelude
open Staged
open nat
open fin
open vector
section DualSemilattices
structure DualSemilattices (A : Type) : Type :=
(times : (A → (A → A)))
(plus : (A → (A → A)))
(commutative_times : (∀ {x y : A} , (time... |
a54e4acb165f42573c6bf4b1125664b55c83614c | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/order/order_iso_nat.lean | f6c4a02613f5090a5737753e0a7cca18ef202806 | [
"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 | 8,957 | lean | /-
Copyright (c) 2017 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
import data.equiv.denumerable
import order.preorder_hom
import order.conditionally_complete_lattice
/-!
# Relation embeddings from the naturals
This file allows tra... |
f0cd315e5ebec5156feb206c50e36ba971ce2283 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/topology/sets/opens.lean | 527ff91f7fcf28bbf6c8068ad8657b2543756936 | [
"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 | 11,696 | 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 order.hom.complete_lattice
import topology.bases
import topology.homeomorph
import topology.continuous_function.basic
import ... |
3a311c6c9c1c83fc85b3eedc469170a06b5f348f | e39f04f6ff425fe3b3f5e26a8998b817d1dba80f | /category_theory/isomorphism.lean | f95a72e251f9ec30d03e643ab0a69c687cdc87fd | [
"Apache-2.0"
] | permissive | kristychoi/mathlib | c504b5e8f84e272ea1d8966693c42de7523bf0ec | 257fd84fe98927ff4a5ffe044f68c4e9d235cc75 | refs/heads/master | 1,586,520,722,896 | 1,544,030,145,000 | 1,544,031,933,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 7,357 | 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
import category_theory.functor
universes u v
namespace category_theory
structure iso {C : Type u} [category.{u v} C] (X Y : C) :=
... |
46aa32d6d799a0b2e2e9eeeb927a189ab29fdd61 | 31f556cdeb9239ffc2fad8f905e33987ff4feab9 | /src/Lean/Elab/Quotation.lean | 9cdf1a75127420c3afc2f294d644091bf9d6c1cb | [
"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 | 32,798 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sebastian Ullrich
Elaboration of syntax quotations as terms and patterns (in `match_syntax`). See also `./Hygiene.lean` for the basic
hygiene workings and data types. -/
import... |
9219bff5ce19be3b1bdbf338b06ec9961db9d8b0 | 88fb7558b0636ec6b181f2a548ac11ad3919f8a5 | /tests/lean/run/simplifier_custom_relations.lean | c28999fdcf9c866bfeb4b0ee32580430ab3a8053 | [
"Apache-2.0"
] | permissive | moritayasuaki/lean | 9f666c323cb6fa1f31ac597d777914aed41e3b7a | ae96ebf6ee953088c235ff7ae0e8c95066ba8001 | refs/heads/master | 1,611,135,440,814 | 1,493,852,869,000 | 1,493,852,869,000 | 90,269,903 | 0 | 0 | null | 1,493,906,291,000 | 1,493,906,291,000 | null | UTF-8 | Lean | false | false | 989 | lean | open tactic
constants (A : Type) (rel : A → A → Prop)
(rel.refl : ∀ a, rel a a)
(rel.symm : ∀ a b, rel a b → rel b a)
(rel.trans : ∀ a b c, rel a b → rel b c → rel a c)
attribute [refl] rel.refl
attribute [symm] rel.symm
attribute [trans] rel.trans
constants (x y z : A) (f g h : A → A)... |
47e87e555213e0a3bfd1191fafbcfa805f439ee6 | 6b2a480f27775cba4f3ae191b1c1387a29de586e | /group_rep1/programmation/test_apply_fun.lean | d24a1d062bbd488a79c2142a9154bf50c565677e | [] | no_license | Or7ando/group_representation | a681de2e19d1930a1e1be573d6735a2f0b8356cb | 9b576984f17764ebf26c8caa2a542d248f1b50d2 | refs/heads/master | 1,662,413,107,324 | 1,590,302,389,000 | 1,590,302,389,000 | 258,130,829 | 0 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 1,151 | lean | import .apply_fun
meta def my_first_tactic : tactic unit := tactic.trace "Hello, World."
example : true :=
begin
my_first_tactic,
trivial
end
meta def my_second_tactic : tactic unit :=
tactic.trace "Hello," >> tactic.trace "World."
example : true :=
begin
my_second_tactic,
trivial
end
meta def my_failing_... |
c6174487e8b6e3497474825736359057e4d96efe | 36c7a18fd72e5b57229bd8ba36493daf536a19ce | /hott/init/tactic.hlean | 33ec92cda5630f940cb9a2ef400ad37ec411c9d3 | [
"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 | 7,092 | hlean | /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura
This is just a trick to embed the 'tactic language' as a Lean
expression. We should view 'tactic' as automation that when execute
produces a term. tactic.buil... |
8c9a60d50c2c0456cc061fe5bbed35ca5dc93ad4 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/tactic/abel.lean | 8e97c0ab87822b1a75df4967d6ed15d985a95b74 | [
"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 | 16,766 | 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... |
65b1bda5e53e1ee19560bd3fe08f45d018f2ba22 | d1a52c3f208fa42c41df8278c3d280f075eb020c | /src/Lean/Data/Rat.lean | f1a518d540caf0a12a6a28d1f8f1c4dfb6ff2531 | [
"Apache-2.0",
"LLVM-exception",
"NCSA",
"LGPL-3.0-only",
"LicenseRef-scancode-inner-net-2.0",
"BSD-3-Clause",
"LGPL-2.0-or-later",
"Spencer-94",
"LGPL-2.1-or-later",
"HPND",
"LicenseRef-scancode-pcre",
"ISC",
"LGPL-2.1-only",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | cipher1024/lean4 | 6e1f98bb58e7a92b28f5364eb38a14c8d0aae393 | 69114d3b50806264ef35b57394391c3e738a9822 | refs/heads/master | 1,642,227,983,603 | 1,642,011,696,000 | 1,642,011,696,000 | 228,607,691 | 0 | 0 | Apache-2.0 | 1,576,584,269,000 | 1,576,584,268,000 | null | UTF-8 | Lean | false | false | 3,026 | 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
-/
namespace Lean
/-!
Rational numbers for implementing decision procedures.
We should not confuse them with the Mathlib rational numbers.
-/
structure R... |
e0eb630ba9eee91ff3c32d67001a68158ad05bc3 | e0f9ba56b7fedc16ef8697f6caeef5898b435143 | /src/algebra/char_p.lean | b91335c5b9136a9d6bac42c368e4ce76689ad9da | [
"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 | 9,756 | lean | /-
Copyright (c) 2018 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Kenny Lau, Joey van Langen, Casper Putz
Characteristic of semirings.
-/
import data.fintype.basic
import data.nat.choose
import algebra.module
universes u v
/-- The generator of the kern... |
d8200eb3ec9c1bc656a27fdb9cc4eb6ea2d24c04 | c777c32c8e484e195053731103c5e52af26a25d1 | /src/analysis/calculus/diff_cont_on_cl.lean | 2ca22622a955b2a47430c1faae098be110a83699 | [
"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 | 5,832 | lean | /-
Copyright (c) 2022 Yury G. Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury G. Kudryashov
-/
import analysis.calculus.deriv
/-!
# Functions differentiable on a domain and continuous on its closure
Many theorems in complex analysis assume that a func... |
b95a753ea0dbe819b75841d05dedbb4709884ead | bbecf0f1968d1fba4124103e4f6b55251d08e9c4 | /src/analysis/inner_product_space/dual.lean | 08d5fd5d853bc8e85d8a39936ba2d6d81d72cb2d | [
"Apache-2.0"
] | permissive | waynemunro/mathlib | e3fd4ff49f4cb43d4a8ded59d17be407bc5ee552 | 065a70810b5480d584033f7bbf8e0409480c2118 | refs/heads/master | 1,693,417,182,397 | 1,634,644,781,000 | 1,634,644,781,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 6,468 | lean | /-
Copyright (c) 2020 Frédéric Dupuis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Frédéric Dupuis
-/
import analysis.inner_product_space.projection
import analysis.normed_space.dual
/-!
# The Fréchet-Riesz representation theorem
We consider inner product spaces, ... |
8cdf16d26a811b627724ad03250ad59d8f21d07c | a7eef317ddec01b9fc6cfbb876fe7ac00f205ac7 | /src/category_theory/discrete_category.lean | c3a1d4ebbcf4b8365257039dc152121f7e1e003a | [
"Apache-2.0"
] | permissive | kmill/mathlib | ea5a007b67ae4e9e18dd50d31d8aa60f650425ee | 1a419a9fea7b959317eddd556e1bb9639f4dcc05 | refs/heads/master | 1,668,578,197,719 | 1,593,629,163,000 | 1,593,629,163,000 | 276,482,939 | 0 | 0 | null | 1,593,637,960,000 | 1,593,637,959,000 | null | UTF-8 | Lean | false | false | 4,610 | lean | /-
Copyright (c) 2017 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Stephen Morgan, Scott Morrison, Floris van Doorn
-/
import data.ulift
import data.fintype.basic
import category_theory.eq_to_hom
namespace category_theory
universes v₁ v₂ u₁ u₂ -- de... |
804640701ffc97208c415e77a9d9e342330dbb91 | efa51dd2edbbbbd6c34bd0ce436415eb405832e7 | /20160406_UW/ex.lean | 051fe040498d2a6666ffff0cbcd56bbac6b4f7f9 | [
"Apache-2.0"
] | permissive | leanprover/presentations | dd031a05bcb12c8855676c77e52ed84246bd889a | 3ce2d132d299409f1de269fa8e95afa1333d644e | refs/heads/master | 1,688,703,388,796 | 1,686,838,383,000 | 1,687,465,742,000 | 29,750,158 | 12 | 9 | Apache-2.0 | 1,540,211,670,000 | 1,422,042,683,000 | Lean | UTF-8 | Lean | false | false | 363 | lean | import algebra.ring
open algebra
variable {A : Type}
check @add.left_cancel
abbreviation lcancel {A : Type} [r : ring A] (a : A) {b c : A} : a + b = a + c → b = c :=
assume H, add.left_cancel H
abbreviation addz := @add_zero
abbreviation ldist := @left_distrib
theorem mul_zero [s : ring A] (a : A) : a * 0 = 0 :=
lc... |
f7bcbde6996dc2a17837e5d227c2a97e92dd70d9 | bf532e3e865883a676110e756f800e0ddeb465be | /data/option.lean | c4f78f103fd07de0f12bc6e0bf61673af2ba8a7c | [
"Apache-2.0"
] | permissive | aqjune/mathlib | da42a97d9e6670d2efaa7d2aa53ed3585dafc289 | f7977ff5a6bcf7e5c54eec908364ceb40dafc795 | refs/heads/master | 1,631,213,225,595 | 1,521,089,840,000 | 1,521,089,840,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,215 | lean | /-
Copyright (c) 2017 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
import logic.basic data.bool
namespace option
universe u
variables {α β : Type u}
instance has_mem : has_mem α (option α) := ⟨λ a b, b = some a⟩
@[simp] lemma mem_... |
493b8935eaec468e76567f6c02eb809118e000a3 | a7dd8b83f933e72c40845fd168dde330f050b1c9 | /src/data/mv_polynomial.lean | 2e7717bc860b119674cf513757bd57bb7b2f8b34 | [
"Apache-2.0"
] | permissive | NeilStrickland/mathlib | 10420e92ee5cb7aba1163c9a01dea2f04652ed67 | 3efbd6f6dff0fb9b0946849b43b39948560a1ffe | refs/heads/master | 1,589,043,046,346 | 1,558,938,706,000 | 1,558,938,706,000 | 181,285,984 | 0 | 0 | Apache-2.0 | 1,568,941,848,000 | 1,555,233,833,000 | Lean | UTF-8 | Lean | false | false | 30,704 | 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
Multivariate Polynomial
-/
import algebra.ring
import data.finsupp data.polynomial data.equiv.algebra
open set function finsupp lattice... |
e39f4ad7ef5ffc4ec3e17240f7468b5cc4cec065 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/analysis/convex/quasiconvex.lean | d36aa2622e95772cc741a4dcddbc82c1f75f92fa | [
"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 | 7,827 | 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... |
ff1b96fb74f1d02889cbab4c6676ff74b75b2766 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/Lean3Lib/init/data/rbmap/default_auto.lean | 42aabb77c7533a05fcc79b070250adab75bc7347 | [] | 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 | 313 | 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
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.data.rbtree.default
import Mathlib.Lean3Lib.init.data.rbmap.basic
namespace Mathlib
end Mathlib |
ace38e0a9e15162b28d960c10118eecb8831d4f6 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/category_theory/filtered.lean | c430450c72be71ca793d5d42f6c99f5ba0459454 | [
"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 | 28,551 | lean | /-
Copyright (c) 2019 Reid Barton. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Reid Barton, Scott Morrison
-/
import category_theory.fin_category
import category_theory.limits.cones
import category_theory.adjunction.basic
import category_theory.category.preorder
imp... |
73de668270a879ef88a50f9e77daa13d40271295 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/1331.lean | 98bccad9ee429c97db8b235775de78f8f6933e26 | [
"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 | 364 | lean | def is_space : char → Prop
| ' ' := true
| '\x09' := true -- \t
| '\n' := true
| '\x0d' := true -- \r
| _ := false
instance is_space.decidable_pred : decidable_pred is_space :=
begin delta is_space, apply_instance end
def f (a : nat) : nat :=
a + 2
open tactic
lemma flemma : f 0 = 2 :=
begin
delta f,
... |
700aa3ef1c2f3fe8e58921bec928acc459250e7f | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/WindowsNewlines.lean | 7e059edc9e539be1b01e743725c0f51793429a31 | [
"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 | 32 | lean | prelude
import Init.System.IO
|
5786e0fc79634cdc5f738e0c1e25cab029a80b2d | c777c32c8e484e195053731103c5e52af26a25d1 | /src/group_theory/group_action/quotient.lean | 0c2d4a21eb7af637cda9528fb55bfe75f2f0e516 | [
"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 | 15,590 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Thomas Browning
-/
import algebra.hom.group_action
import data.fintype.big_operators
import dynamics.periodic_pts
import group_theory.group_action.conj_act
import group_the... |
c326d330ed8444c5cc14be0aa4baada52e9e90ca | 437dc96105f48409c3981d46fb48e57c9ac3a3e4 | /src/category_theory/limits/creates.lean | 025dc86c67542eccc426e32df61a8319831de102 | [
"Apache-2.0"
] | permissive | dan-c-k/mathlib | 08efec79bd7481ee6da9cc44c24a653bff4fbe0d | 96efc220f6225bc7a5ed8349900391a33a38cc56 | refs/heads/master | 1,658,082,847,093 | 1,589,013,201,000 | 1,589,013,201,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 12,261 | 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.reflect_isomorphisms
open category_theory category_theory.limits
namespace category_theory
universes v u₁ u₂ u₃
variables {C : Type u₁} [catego... |
62fcbb952122af1ecfaf73ff3fa9f69f9fdf116b | 9028d228ac200bbefe3a711342514dd4e4458bff | /src/category_theory/limits/preserves/basic.lean | b99425190aad64eade53370cddd18bcc77ac3c5a | [
"Apache-2.0"
] | permissive | mcncm/mathlib | 8d25099344d9d2bee62822cb9ed43aa3e09fa05e | fde3d78cadeec5ef827b16ae55664ef115e66f57 | refs/heads/master | 1,672,743,316,277 | 1,602,618,514,000 | 1,602,618,514,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 16,737 | 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, Bhavik Mehta
-/
import category_theory.limits.limits
/-!
# Preservation and reflection of (co)limits.
There are various distinct notions of "preserving l... |
bdfd2dd922fbf4921519264efb6ae82935db7ff4 | e0b0b1648286e442507eb62344760d5cd8d13f2d | /stage0/src/Lean/Meta.lean | f474c7fadd722dd7ac79a6af973e7658386276a5 | [
"Apache-2.0"
] | permissive | MULXCODE/lean4 | 743ed389e05e26e09c6a11d24607ad5a697db39b | 4675817a9e89824eca37192364cd47a4027c6437 | refs/heads/master | 1,682,231,879,857 | 1,620,423,501,000 | 1,620,423,501,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,025 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Meta.Basic
import Lean.Meta.LevelDefEq
import Lean.Meta.WHNF
import Lean.Meta.InferType
import Lean.Meta.FunInfo
import Lean.Meta.ExprDefEq
impo... |
dc9ed98acc3b894c2ebeb87d517f344b4551d38f | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/control/fold.lean | cd8d2cd77ee6f0c8c0c82feeb06b59ffd9bb6211 | [
"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 | 14,782 | lean | /-
Copyright (c) 2018 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon, Sean Leather
-/
import algebra.free_monoid
import algebra.opposites
import control.traversable.instances
import control.traversable.lemmas
import category_theory.category
imp... |
efeae8a8fc3ce369f0f26870d619e1e8256f2431 | d6124c8dbe5661dcc5b8c9da0a56fbf1f0480ad6 | /test/run/ir/basicBlockRef.lean | 5c311b981cb4fff0df753508a9a18d423630f59b | [
"Apache-2.0"
] | permissive | xubaiw/lean4-papyrus | c3fbbf8ba162eb5f210155ae4e20feb2d32c8182 | 02e82973a5badda26fc0f9fd15b3d37e2eb309e0 | refs/heads/master | 1,691,425,756,824 | 1,632,122,825,000 | 1,632,123,075,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,148 | lean | import Papyrus
open Papyrus
def assertEq [Repr α] [DecidableEq α]
(expected actual : α) : IO (PLift (expected = actual)) := do
if h : expected = actual then return PLift.up h else
throw <| IO.userError s!"expected '{repr expected}', got '{repr actual}'"
def assertBEq [Repr α] [BEq α] (expected actual : α) : IO... |
ae64693f4acf94365ae3c1d915724664d6e4d7c7 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/2125.lean | d8eb0d6e71bddc7843b734c3a249f5897b18a3ba | [
"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 | 222 | lean | open Classical
noncomputable def f (α : Type) : Bool :=
Nonempty α
-- The following inductive is unsound:
inductive C : Bool → Type
-- Must be rejected because `C` occurs inside an index.
| c : C (f (C false))
|
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