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values | gha_event_created_at int64 1,402B 1,695B β | gha_created_at int64 1,359B 1,637B β | gha_language stringclasses 19
values | src_encoding stringclasses 2
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value | is_vendor bool 1
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values | content stringlengths 3 6.12M |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
4d56ce2796aea5c1d249b75c68612f3764483a1d | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/ring_theory/subsemiring.lean | ed61a3d0ac5240f902e9ccf56874cb58c5b4abe9 | [] | 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 | 28,388 | 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 Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.algebra.ring.prod
import Mathlib.group_theory.submonoid.default
import Mathlib.data.equiv.... |
863b8554b03ba3db4eebf91f001b150048787256 | ba4ad8a778c69640c9cca8e5dcaeb40d4a10fa10 | /lean4/Bin/Bin.lean | 5a7abf8a37cc8ece1efdd5173c6707227d7666d4 | [] | no_license | tangentstorm/tangentlabs | 390ac60618bd913b567d20933dab70b84aac7151 | 137adbba6e7c35f8bb54b0786ada6c8c2ff6bc72 | refs/heads/master | 1,693,514,213,127 | 1,692,322,210,000 | 1,692,322,210,000 | 7,815,356 | 33 | 22 | null | 1,433,592,935,000 | 1,359,097,381,000 | Visual Basic | UTF-8 | Lean | false | false | 1,525 | lean | -- toy implementation of binary numbers in lean4
inductive Bin where -- binary string
| B -- infinite stream of zeros (high bits)
| O (x: Bin) -- multiply by 2
| I (x: Bin) -- multiply by 2 and add 1
namespace Bin
@[simp] def succ : Bin β Bin
| B => I B
| O n => I n
| I n => O (succ n)
... |
d4614894389452f9a2aa451acd51266a62005f34 | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /hott/types/nat/sub.hlean | a6be2f3ff2f074e12123b15a65943eea86f69e72 | [
"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 | 19,531 | hlean | /-
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
Subtraction on the natural numbers, as well as min, max, and distance.
-/
import .order
open eq.ops algebra eq
namespace nat
/- subtraction -/
pro... |
198de7cf75aa8e119df237406c5c709ac4c5c037 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/data/set/constructions.lean | 2f50d37b90393b9d4e5d444d4e9497450ac58cd5 | [] | no_license | AurelienSaue/Mathlib4_auto | f538cfd0980f65a6361eadea39e6fc639e9dae14 | 590df64109b08190abe22358fabc3eae000943f2 | refs/heads/master | 1,683,906,849,776 | 1,622,564,669,000 | 1,622,564,669,000 | 371,723,747 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,315 | lean | /-
Copyright (c) 2020 Adam Topaz. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Adam Topaz
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.tactic.default
import Mathlib.data.finset.basic
import Mathlib.PostPort
universes u_1 l
namespac... |
1b9a41ac88cea6535e81bac0d91211e712cc67de | 92b50235facfbc08dfe7f334827d47281471333b | /library/data/nat/order.lean | 9162e42d7924ce9505aeddb38622e2703222b2d9 | [
"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 | 20,054 | 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, Leonardo de Moura, Jeremy Avigad
The order relation on the natural numbers.
-/
import data.nat.basic algebra.ordered_ring
open eq.ops
namespace nat
/- lt and le ... |
272e542a64193d1cc17c264c09b37effae4595c8 | 2c096fdfecf64e46ea7bc6ce5521f142b5926864 | /src/Lean/Util/PPExt.lean | 3af4bc58e524f40c37346394502df535f1e352b2 | [
"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 | Kha/lean4 | 1005785d2c8797ae266a303968848e5f6ce2fe87 | b99e11346948023cd6c29d248cd8f3e3fb3474cf | refs/heads/master | 1,693,355,498,027 | 1,669,080,461,000 | 1,669,113,138,000 | 184,748,176 | 0 | 0 | Apache-2.0 | 1,665,995,520,000 | 1,556,884,930,000 | Lean | UTF-8 | Lean | false | false | 2,872 | lean | /-
Copyright (c) 2020 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura
-/
import Lean.Environment
import Lean.MetavarContext
import Lean.Data.OpenDecl
namespace Lean
register_builtin_option pp.raw : Bool := {
defValue := false
... |
67c4ea755dd69e704cd627a399292b0d023e6861 | ff5230333a701471f46c57e8c115a073ebaaa448 | /library/init/meta/smt/interactive.lean | 9d94dab2c1ee6ca43da0d974fd116b11278c41d6 | [
"Apache-2.0"
] | permissive | stanford-cs242/lean | f81721d2b5d00bc175f2e58c57b710d465e6c858 | 7bd861261f4a37326dcf8d7a17f1f1f330e4548c | refs/heads/master | 1,600,957,431,849 | 1,576,465,093,000 | 1,576,465,093,000 | 225,779,423 | 0 | 3 | Apache-2.0 | 1,575,433,936,000 | 1,575,433,935,000 | null | UTF-8 | Lean | false | false | 10,085 | 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
-/
prelude
import init.meta.smt.smt_tactic init.meta.interactive_base
import init.meta.smt.rsimp
namespace smt_tactic
meta def save_info (p : pos) : smt_tacti... |
67850ff06f992340101a6ae85e5cc1187a2a243c | 4727251e0cd73359b15b664c3170e5d754078599 | /src/category_theory/lifting_properties.lean | 1fc25dd152767bb385c022f67c8e88ea10efd057 | [
"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 | 5,330 | lean | /-
Copyright (c) 2021 Jakob Scholbach. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jakob Scholbach
-/
import category_theory.limits.shapes.terminal
import category_theory.arrow
/-!
# Lifting properties
This file defines the lifting property of two arrows in a cate... |
4ee12e030064e2e2ab2d64ecb92cdab85ba88cd3 | cf39355caa609c0f33405126beee2739aa3cb77e | /library/init/propext.lean | 3b34dc25e8a8df251abc70d4b55fdb80d6b15e23 | [
"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 | 1,116 | lean | /-
Copyright (c) 2016 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura
-/
prelude
import init.logic
constant propext {a b : Prop} : (a β b) β a = b
/-! # Additional congruence lemmas. -/
universes u v
lemma forall_congr_eq {a : ... |
d9d5bc8c15b5e28508670dee9df26913edbbece2 | 2eab05920d6eeb06665e1a6df77b3157354316ad | /src/analysis/special_functions/arsinh.lean | b9dc546f23d53a8cf9a20d5a50d104f4c21487b6 | [
"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 | 2,987 | lean | /-
Copyright (c) 2020 James Arthur. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: James Arthur, Chris Hughes, Shing Tak Lam
-/
import analysis.special_functions.trigonometric.basic
import analysis.special_functions.log
/-!
# Inverse of the sinh function
In this file... |
fb19903b9c22a33d40bbddbb6a231b6e61ff669b | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/algebra/category/Algebra/limits.lean | 4bdd2197df8c1472173116f10c7917adb0ac48a1 | [
"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 | 4,927 | 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.Algebra.basic
import algebra.category.Module.limits
import algebra.category.CommRing.limits
/-!
# The category of R-algebras has all limits
... |
1af98d65c2e44d269683a0d0be40ff3638bd8de4 | 592ee40978ac7604005a4e0d35bbc4b467389241 | /Library/generated/mathscheme-lean/UnaryAntiDistribution.lean | 599a611b1fa01b637903bd9575fc8d7d9a392836 | [] | 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 | 8,800 | 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 UnaryAntiDistribution
structure UnaryAntiDistribution (A : Type) : Type :=
(prim : (A β A))
(op : (A β (A β A)))
(antidis_prim_op : (β {x y : A} , (prim ... |
c4d61b244adb2df2c1833eb175c4c2da1c8e8165 | e2fc96178628c7451e998a0db2b73877d0648be5 | /src/classes/context_free/closure_properties/reverse.lean | 61eb205a5b072cfa5cb421bb2cfd7930b05eda4f | [
"BSD-2-Clause"
] | permissive | madvorak/grammars | cd324ae19b28f7b8be9c3ad010ef7bf0fabe5df2 | 1447343a45fcb7821070f1e20b57288d437323a6 | refs/heads/main | 1,692,383,644,884 | 1,692,032,429,000 | 1,692,032,429,000 | 453,948,141 | 7 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,497 | lean | import classes.context_free.basics.toolbox
import utilities.language_operations
import utilities.list_utils
variables {T : Type}
section auxiliary
private def reversal_grammar (g : CF_grammar T) : CF_grammar T :=
CF_grammar.mk g.nt g.initial (list.map (
Ξ» r : g.nt Γ list (symbol T g.nt), (r.fst, list.reverse r.... |
c792dc8cb87100d6cfe6a46b4312a05e9c182064 | 957a80ea22c5abb4f4670b250d55534d9db99108 | /library/init/meta/vm.lean | 4be4f80e5c31244837b7e05f64932e5ff91cfcd7 | [
"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 | 6,547 | 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_t
import init.meta.mk_dec_eq_instance
meta constant vm_obj : Type
inductive vm_obj_kind
| simple | constr... |
4ba4f3fec3ec1d9b5547df881e89d27e0ee2b1b4 | 82e44445c70db0f03e30d7be725775f122d72f3e | /src/analysis/special_functions/trigonometric.lean | 7f6f101a6fc54c08c43de77de9ff529e0d37f018 | [
"Apache-2.0"
] | permissive | stjordanis/mathlib | 51e286d19140e3788ef2c470bc7b953e4991f0c9 | 2568d41bca08f5d6bf39d915434c8447e21f42ee | refs/heads/master | 1,631,748,053,501 | 1,627,938,886,000 | 1,627,938,886,000 | 228,728,358 | 0 | 0 | Apache-2.0 | 1,576,630,588,000 | 1,576,630,587,000 | null | UTF-8 | Lean | false | false | 144,686 | 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 SΓΆnne, Benjamin Davidson
-/
import algebra.quadratic_discriminant
import analysis.special_functions.exp_log
import data.set.interva... |
f52d1929ea0e07978d77c0950ea956817268d584 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/number_theory/zsqrtd/gaussian_int.lean | cb1d5c801698b97f5ec8fcc1f0453bd099284bab | [
"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 | 12,595 | lean | /-
Copyright (c) 2019 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes
-/
import number_theory.zsqrtd.basic
import data.complex.basic
import ring_theory.principal_ideal_domain
import number_theory.quadratic_reciprocity
/-!
# Gaussian integers
... |
20d5054012088806ae5c368240c15c114f9972ff | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/analysis/calculus/times_cont_diff.lean | a99a35dc5e769ac0a2cb76a2b643f17dfcf98cd5 | [
"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 | 143,633 | lean | /-
Copyright (c) 2019 SΓ©bastien GouΓ«zel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: SΓ©bastien GouΓ«zel
-/
import analysis.calculus.mean_value
import analysis.normed_space.multilinear
import analysis.calculus.formal_multilinear_series
/-!
# Higher differentiability
... |
f7a6573cba280d9755fb719162afded40ff5537b | 69d4931b605e11ca61881fc4f66db50a0a875e39 | /src/measure_theory/measurable_space.lean | ab1959e280fdd29985751c0af093ac1f841898da | [
"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 | 58,407 | lean | /-
Copyright (c) 2017 Johannes HΓΆlzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes HΓΆlzl, Mario Carneiro
-/
import data.set.disjointed
import data.set.countable
import data.indicator_function
import data.equiv.encodable.lattice
import data.tprod
import order... |
59aa468141e9a79e8006b437d2b39b6893e6ca85 | a4673261e60b025e2c8c825dfa4ab9108246c32e | /stage0/src/Init/Control/Option.lean | 091b302a398216471c2cec9b932bd216c957e2ae | [
"Apache-2.0"
] | permissive | jcommelin/lean4 | c02dec0cc32c4bccab009285475f265f17d73228 | 2909313475588cc20ac0436e55548a4502050d0a | refs/heads/master | 1,674,129,550,893 | 1,606,415,348,000 | 1,606,415,348,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,850 | 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, Sebastian Ullrich
-/
prelude
import Init.Control.Basic
import Init.Control.Except
universes u v
instance {Ξ±} : ToBool (Option Ξ±) := β¨Option.toBoolβ©
def Opt... |
8dcb08a37dd02882df1f6de9838e4aa0274baf6b | 30b012bb72d640ec30c8fdd4c45fdfa67beb012c | /category/traversable/basic.lean | 6daf7d319428b9ddbad021a4940b7899956f020d | [
"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 | 2,987 | lean | /-
Copyright (c) 2018 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Simon Hudon
Type classes for traversing collections. The concepts and laws are taken from
http://hackage.haskell.org/package/base-4.11.1.0/docs/Data-Traversable.html
-/
import tactic.cac... |
9c24547de7db10b086bb51336b9ab533cc3f5ef3 | 46125763b4dbf50619e8846a1371029346f4c3db | /src/tactic/core.lean | aab622d44d09b9902ef16a4ca33e7cf3041a5db0 | [
"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 | 63,050 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Simon Hudon, Scott Morrison, Keeley Hoek
-/
import data.dlist.basic category.basic meta.expr meta.rb_map data.bool tactic.library_note
tactic.derive_inhabited
univer... |
97db477438febf2da9c4091eb38ba2100317a924 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/data/matrix/kronecker.lean | 0137a0896b01effd2b568dd6f75d55a1529919e3 | [
"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 | 15,710 | lean | /-
Copyright (c) 2021 Filippo A. E. Nuccio. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Filippo A. E. Nuccio, Eric Wieser
-/
import data.matrix.basic
import linear_algebra.tensor_product
import ring_theory.tensor_product
/-!
# Kronecker product of matrices
This d... |
84aeaa80ad1aee305ea23cdbaf9488e6a6db7306 | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /library/algebra/category/basic.lean | d3fcf8c8ca5296dc9773431f5a4cb99a9c98fd18 | [
"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 | 2,056 | 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
-/
open eq eq.ops
structure category [class] (ob : Type) : Type :=
(hom : ob β ob β Type)
(comp : Ξ β¦a b c : obβ¦, hom b c β hom a b β hom a c)
(ID : Ξ (a : ob),... |
965b32f01176a11e66dba0c3499de50ee2b60537 | 367134ba5a65885e863bdc4507601606690974c1 | /src/algebraic_geometry/presheafed_space.lean | 0e8e4cf2996db6258b4d03e022962beaca9b14bc | [
"Apache-2.0"
] | permissive | kodyvajjha/mathlib | 9bead00e90f68269a313f45f5561766cfd8d5cad | b98af5dd79e13a38d84438b850a2e8858ec21284 | refs/heads/master | 1,624,350,366,310 | 1,615,563,062,000 | 1,615,563,062,000 | 162,666,963 | 0 | 0 | Apache-2.0 | 1,545,367,651,000 | 1,545,367,651,000 | null | UTF-8 | Lean | false | false | 10,803 | 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.sheaves.presheaf
/-!
# Presheafed spaces
Introduces the category of topological spaces equipped with a presheaf (taking values in an
arbitrary targe... |
6eeef7cddff2ff529f4eb996043be4288f4de09e | 6fbf10071e62af7238f2de8f9aa83d55d8763907 | /examples/forall_properties.lean | 623d80b19690aa850e63aa34df23ef83fe1d154b | [] | 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 | 690 | lean |
lemma commutativity_forall{S: Type}:
(β(s: S), β(P: S β Prop), P s) β
(β(P: S β Prop), β(s: S), P s) :=
begin
split,
assume pfUnivPS,
intros,
exact pfUnivPS s P,
assume pfUnivPS,
intros,
exact pfUnivPS P s,
end
lemma commutativity_forall'{S: Type}:
(β(s: S), β(P: S β Prop), P s) β... |
6dd9c3eebedad3661cbd14f0c6226d3eeabffd44 | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /tests/lean/let4.lean | 893dc870dfe5523a46c5a20a8f1d75d956e886dc | [
"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 | 316 | lean | --
constant f : num β num β num β num
check
let a : num := 10,
b : num := 10,
c : num := 10
in f a b (f a 10 c)
check
let a : num := 10,
b : num := let c : num := 10 in f a c (f a a (f 10 a c)),
d : num := 10,
e : num := f (f 10 10 d) (f d 10 10) a
in f a b (f e d 10)
|
949a5c367945ee385e072a2f7b6c8fdb07c4465a | 0d107d7abd6ae235d586830f8e09b1b30e7eef0b | /src/limit_unique/Solution.lean | bfd8a04080800e88109715796a531d58ae940dbc | [] | no_license | ukikagi/codewars-lean | 6b9a83ebbb159e7eebf8551b745a1c4d450e747f | 1912f2a4e25e917abfce70d65c0469cfac19dc93 | refs/heads/master | 1,672,948,190,244 | 1,603,361,004,000 | 1,603,795,841,000 | 303,746,208 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 580 | lean | import .Preloaded
theorem limit_unique {X : Type*} [metric_space X] {s : β β X}
(xβ xβ : X) (hβ : s βΆ xβ) (hβ : s βΆ xβ) :
xβ = xβ :=
begin
unfold converges_to at *,
apply eq_of_forall_dist_le,
intros Ξ΅ hΞ΅p,
specialize hβ (Ξ΅/3) (by linarith),
cases hβ with Nβ hNβ,
specialize hβ (Ξ΅/3) (by linarith),
... |
1c6b9acbdad9bf9092152d96e813efa59ceac129 | 2a70b774d16dbdf5a533432ee0ebab6838df0948 | /_target/deps/mathlib/src/ring_theory/polynomial/basic.lean | 6133beadc7ce8681b6d6cdf51050497f40e4fb88 | [
"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 | 33,347 | lean | /-
Copyright (c) 2019 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau
# Ring-theoretic supplement of data.polynomial.
## Main results
* `mv_polynomial.integral_domain`:
If a ring is an integral domain, then so is its polynomial ring over finitel... |
5158cef28293164bb57c19470845da8dd0e1269d | 592ee40978ac7604005a4e0d35bbc4b467389241 | /Library/generated/mathscheme-lean/InvolutiveMultMagmaSig.lean | fcb3aa3cedde26d1417e3f25f33ecc32468ac19c | [] | 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 | 8,734 | 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 InvolutiveMultMagmaSig
structure InvolutiveMultMagmaSig (A : Type) : Type :=
(times : (A β (A β A)))
(prim : (A β A))
open InvolutiveMultMagmaSig
struct... |
0ef8526a8a4f4d6a1bdba98d179aed0429f6fd2e | 55c7fc2bf55d496ace18cd6f3376e12bb14c8cc5 | /src/algebra/group_action_hom.lean | 5314843abb12df5dea333135b360562881ec46a1 | [
"Apache-2.0"
] | permissive | dupuisf/mathlib | 62de4ec6544bf3b79086afd27b6529acfaf2c1bb | 8582b06b0a5d06c33ee07d0bdf7c646cae22cf36 | refs/heads/master | 1,669,494,854,016 | 1,595,692,409,000 | 1,595,692,409,000 | 272,046,630 | 0 | 0 | Apache-2.0 | 1,592,066,143,000 | 1,592,066,142,000 | null | UTF-8 | Lean | false | false | 10,481 | lean | /-
Copyright (c) 2020 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau
-/
import algebra.group_ring_action
/-!
# Equivariant homomorphisms
## Main definitions
* `mul_action_hom M X Y`, the type of equivariant functions from `X` to `Y`, where `M` i... |
ff2cd5cb9fff3a2695da1bdb1edd216343b82305 | d0664585e88edfefe384f2b01de54487029040bb | /src/pseudometric_space.lean | c8810d8a6c775d2f7b5f45769f6eef332afde948 | [] | no_license | ImperialCollegeLondon/uniform-structures | acf0a092d764925564595c59e7347e066d2a78ab | a41a170ef125b36bdac1e2201f54affa958d0349 | refs/heads/master | 1,668,088,958,039 | 1,592,495,127,000 | 1,592,495,127,000 | 269,964,470 | 2 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,541 | lean | import topology.metric_space.basic
/-!
# Pseudometric spaces
A pseudometric on a set (or type) X is a distance function obeying
all the axioms of a metric except possible d(x,y)=0 β x = y.
-/
/-- A function d : X^2 β β is a *pseudometric* if it satisfies the axioms
for a metric space apart from possibly the axio... |
20c524abb8c0120e3907cfa474049d975953dad7 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/Lean3Lib/init/data/char/basic.lean | e988393c43863255eb1c5a4b1917b734e3e3cafa | [] | 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 | 3,530 | lean | /-
Copyright (c) 2016 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.data.nat.basic
universes l
namespace Mathlib
def is_valid_char (n : β) :=
n < bit0 (bit0 (bit0 (b... |
9c2fe658f4f54b0e60ce133d11aaabe73c8efcd5 | 0845ae2ca02071debcfd4ac24be871236c01784f | /tests/compiler/bytearray_bug.lean | ae36209486e23d085720bbd9b65ffa37b9b84331 | [
"Apache-2.0"
] | permissive | GaloisInc/lean4 | 74c267eb0e900bfaa23df8de86039483ecbd60b7 | 228ddd5fdcd98dd4e9c009f425284e86917938aa | refs/heads/master | 1,643,131,356,301 | 1,562,715,572,000 | 1,562,715,572,000 | 192,390,898 | 0 | 0 | null | 1,560,792,750,000 | 1,560,792,749,000 | null | UTF-8 | Lean | false | false | 155 | lean | def main (xs : List String) : IO Unit :=
let arr := (let e := ByteArray.empty in e.push (UInt8.ofNat 10)) in
let v := arr.data.get 0 in
IO.println v
|
709a278fcbcb7496f3f2211481c4450592e2856d | 9028d228ac200bbefe3a711342514dd4e4458bff | /test/ring.lean | 93f6ea87e08b143cf2049df1fad6f4f519401af5 | [
"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 | 2,078 | lean | import tactic.ring
import data.real.basic
example (x y : β) : x + y = y + x := by ring
example (x y : β) : x + y + y = 2 * y + x := by ring
example (x y : β) : x + id y = y + id x := by ring!
example {Ξ±} [comm_ring Ξ±] (x y : Ξ±) : x + y + y - x = 2 * y := by ring
example (x y : β) : x / 2 + x / 2 = x := by ring
example... |
30476383912e0fbf80fc3ae5309c7dff17f7ef98 | 618003631150032a5676f229d13a079ac875ff77 | /src/topology/sheaves/presheaf.lean | b18c7d414ebf3868a3244a8e164dde4a4b7ba5e1 | [
"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 | 2,187 | lean | /-
Copyright (c) 2018 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison, Mario Carneiro, Reid Barton
-/
import topology.category.Top.opens
universes v u
open category_theory
open topological_space
open opposite
variables (C : Type u) [π ... |
5aea7b54bf353ac0d4e6751e31d64a527762ce24 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/category_theory/monoidal/rigid/basic.lean | bb43e26be3124907ba6b60058fa2ece84256667f | [
"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 | 26,655 | lean | /-
Copyright (c) 2021 Jakob von Raumer. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jakob von Raumer
-/
import category_theory.monoidal.coherence_lemmas
import category_theory.closed.monoidal
import tactic.apply_fun
/-!
# Rigid (autonomous) monoidal categories
Thi... |
d1a32f4a0ff21f68ec2e4aa16dd12714eaaf869c | d1a52c3f208fa42c41df8278c3d280f075eb020c | /src/Lean/Util/Recognizers.lean | 450d92f5d1676e84756ad5fe468a8111382da0b3 | [
"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 | 4,028 | lean | /-
Copyright (c) 2020 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Environment
namespace Lean
namespace Expr
@[inline] def const? (e : Expr) : Option (Name Γ List Level) :=
match e with
| Expr.const n us _... |
dd995b6a94cdfcb309422ae8383e08123c72c7b2 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/algebra/gcd_monoid/multiset.lean | bfe56ae028968886d148c28e7024763313dd6dc6 | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 6,866 | lean | /-
Copyright (c) 2020 Aaron Anderson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Aaron Anderson
-/
import algebra.gcd_monoid.basic
import data.multiset.finset_ops
import data.multiset.fold
/-!
# GCD and LCM operations on multisets
> THIS FILE IS SYNCHRONIZED WITH... |
6fdf63b6e2922d32d4a3b0c282a75c764f0430ef | 94e33a31faa76775069b071adea97e86e218a8ee | /src/tactic/monotonicity/lemmas.lean | e803747a649798b3873b3e077a7d7787ed9acadc | [
"Apache-2.0"
] | permissive | urkud/mathlib | eab80095e1b9f1513bfb7f25b4fa82fa4fd02989 | 6379d39e6b5b279df9715f8011369a301b634e41 | refs/heads/master | 1,658,425,342,662 | 1,658,078,703,000 | 1,658,078,703,000 | 186,910,338 | 0 | 0 | Apache-2.0 | 1,568,512,083,000 | 1,557,958,709,000 | Lean | UTF-8 | Lean | false | false | 2,711 | lean | /-
Copyright (c) 2019 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon
-/
import algebra.order.ring
import data.nat.basic
import data.set.lattice
import order.directed
import tactic.monotonicity.basic
variables {Ξ± : Type*}
@[mono]
lemma mul_mon... |
a3579103957206bacbba11350898a2914ac3ece8 | d1bbf1801b3dcb214451d48214589f511061da63 | /src/data/set/finite.lean | 30ecb2f6ffe9c12d346d80be409ac0692a1f8ee4 | [
"Apache-2.0"
] | permissive | cheraghchi/mathlib | 5c366f8c4f8e66973b60c37881889da8390cab86 | f29d1c3038422168fbbdb2526abf7c0ff13e86db | refs/heads/master | 1,676,577,831,283 | 1,610,894,638,000 | 1,610,894,638,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 26,580 | lean | /-
Copyright (c) 2017 Johannes HΓΆlzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes HΓΆlzl, Mario Carneiro
-/
import data.fintype.basic
/-!
# Finite sets
This file defines predicates `finite : set Ξ± β Prop` and `infinite : set Ξ± β Prop` and proves some
basic... |
cfd3f61381212cd4dadc16336eaa45fa15c19785 | 75db7e3219bba2fbf41bf5b905f34fcb3c6ca3f2 | /hott/hit/set_quotient.hlean | 46bc6cb25fc274356b8ab20c488e9d2dbb0f8976 | [
"Apache-2.0"
] | permissive | jroesch/lean | 30ef0860fa905d35b9ad6f76de1a4f65c9af6871 | 3de4ec1a6ce9a960feb2a48eeea8b53246fa34f2 | refs/heads/master | 1,586,090,835,348 | 1,455,142,203,000 | 1,455,142,277,000 | 51,536,958 | 1 | 0 | null | 1,455,215,811,000 | 1,455,215,811,000 | null | UTF-8 | Lean | false | false | 5,787 | hlean | /-
Copyright (c) 2015 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn
Declaration of set-quotients, i.e. quotient of a mere relation which is then set-truncated.
-/
import function algebra.relation types.trunc types.eq hit.quotient
... |
9f70b03d3a86f7f480b44c9bc23cbc5e83f9b6ad | 08bd4ba4ca87dba1f09d2c96a26f5d65da81f4b4 | /src/Lean/Exception.lean | 0e03260a7590ef35010636a3bb6372d7482668f4 | [
"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 | 6,538 | lean | /-
Copyright (c) 2020 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Message
import Lean.InternalExceptionId
import Lean.Data.Options
import Lean.Util.MonadCache
namespace Lean
/-- Exception type used in most Le... |
bfe283111e083198efbe58adc0117c9b46dee230 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/data/opposite.lean | 985150bd4faf650a151e03e2d4b564577140c661 | [
"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 | 4,619 | lean | /-
Copyright (c) 2018 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison, Reid Barton, Simon Hudon, Kenny Lau
-/
import logic.equiv.basic
/-!
# Opposites
In this file we define a type synonym `opposite Ξ± := Ξ±`, denoted by `Ξ±α΅α΅` and two syno... |
844a995514ed0c9620b8ef91b5d02c66ec3b70e1 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/algebra/abs.lean | 035d10ec6294db9ee04f9176793796f58200c3ea | [
"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 | 1,770 | lean | /-
Copyright (c) 2021 Christopher Hoskin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Christopher Hoskin
-/
/-!
# Absolute value
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> https://github.com/leanprover-community/mathlib4/pull/477
> Any changes to this file requi... |
d8edf07796cada7b02d2455340cf188a602b1847 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/bindCasesIssue.lean | 00a92b7287b080449b92ef6a7ce9b949b2865ad4 | [
"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 | 213 | lean | import Lean
def bar : ReaderM Unit Unit :=
if true then
match true with
| true => pure ()
| false => pure ()
else
pure ()
set_option trace.Compiler true
#eval Lean.Compiler.compile #[``bar]
|
92286143e28c6d1b72caf850d9958009f38c0699 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/order/iterate.lean | 79346254361e39ece674872672e93a2a646ccea1 | [
"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 | 9,131 | lean | /-
Copyright (c) 2020 Yury G. Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury G. Kudryashov
-/
import logic.function.iterate
import order.monotone
/-!
# Inequalities on iterates
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> https://github.com/leanprove... |
35a3eeffc62e9bd5ecdc3e5c2d64f14ebeb90c62 | ce6917c5bacabee346655160b74a307b4a5ab620 | /src/ch2/ex0604.lean | 1ded698d382d400680000d8856c39aeaa27959bd | [] | no_license | Ailrun/Theorem_Proving_in_Lean | ae6a23f3c54d62d401314d6a771e8ff8b4132db2 | 2eb1b5caf93c6a5a555c79e9097cf2ba5a66cf68 | refs/heads/master | 1,609,838,270,467 | 1,586,846,743,000 | 1,586,846,743,000 | 240,967,761 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 217 | lean | section useful
variables (Ξ± Ξ² Ξ³ : Type)
variables (g : Ξ² β Ξ³) (f : Ξ± β Ξ²) (h : Ξ± β Ξ±)
variable x : Ξ±
def compose := g (f x)
def do_twice := h (h x)
def do_thrice := h (h (h x))
end useful
|
a3d9a0b90bc0743f7f4a793feed5c1cd47500f13 | ac2987d8c7832fb4a87edb6bee26141facbb6fa0 | /Mathlib/Tactic/NormNum.lean | 08ed4044ef22844791281adb51f2e443f2e575f3 | [
"Apache-2.0"
] | permissive | AurelienSaue/mathlib4 | 52204b9bd9d207c922fe0cf3397166728bb6c2e2 | 84271fe0875bafdaa88ac41f1b5a7c18151bd0d5 | refs/heads/master | 1,689,156,096,545 | 1,629,378,840,000 | 1,629,378,840,000 | 389,648,603 | 0 | 0 | Apache-2.0 | 1,627,307,284,000 | 1,627,307,284,000 | null | UTF-8 | Lean | false | false | 6,142 | 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
import Mathlib.Tactic.Core
namespace Lean
/--
Return true if `e` is one of the following
- A nat... |
ae651838f23afb7b7143519c74fa714b1f0f1cd6 | 94e33a31faa76775069b071adea97e86e218a8ee | /src/linear_algebra/exterior_algebra/of_alternating.lean | c3ea223fc6c831afb2649ce6e1f7ee0bbf29b445 | [
"Apache-2.0"
] | permissive | urkud/mathlib | eab80095e1b9f1513bfb7f25b4fa82fa4fd02989 | 6379d39e6b5b279df9715f8011369a301b634e41 | refs/heads/master | 1,658,425,342,662 | 1,658,078,703,000 | 1,658,078,703,000 | 186,910,338 | 0 | 0 | Apache-2.0 | 1,568,512,083,000 | 1,557,958,709,000 | Lean | UTF-8 | Lean | false | false | 6,204 | lean | /-
Copyright (c) 2022 Eric Wieser. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Eric Wieser
-/
import linear_algebra.clifford_algebra.fold
import linear_algebra.exterior_algebra.basic
/-!
# Extending an alternating map to the exterior algebra
## Main definitions
... |
5f312942120c8a2fd410597938af17b25021c1b7 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/algebraic_geometry/open_immersion/Scheme.lean | 4b930e16e1994f4ea2452c0ec39b9e6ddc7e8b72 | [
"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 | 43,456 | lean | /-
Copyright (c) 2021 Andrew Yang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Andrew Yang
-/
import algebraic_geometry.open_immersion.basic
import algebraic_geometry.Scheme
import category_theory.limits.shapes.comm_sq
/-!
# Open immersions of schemes
> THIS FILE ... |
b7dff1f173920f0d8deb2a9d839a0a291b3b30a6 | d1bbf1801b3dcb214451d48214589f511061da63 | /src/topology/metric_space/isometry.lean | 5462db3121f4b68a3d629163a863c1a6ad0345d4 | [
"Apache-2.0"
] | permissive | cheraghchi/mathlib | 5c366f8c4f8e66973b60c37881889da8390cab86 | f29d1c3038422168fbbdb2526abf7c0ff13e86db | refs/heads/master | 1,676,577,831,283 | 1,610,894,638,000 | 1,610,894,638,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 18,028 | lean | /-
Copyright (c) 2018 SΓ©bastien GouΓ«zel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Isometries of emetric and metric spaces
Authors: SΓ©bastien GouΓ«zel
-/
import topology.bounded_continuous_function
import topology.compacts
/-!
# Isometries
We define isometries, i.e., maps... |
4d19e9e1e61ababc7605a0147cf49f24ea8b1eeb | 4727251e0cd73359b15b664c3170e5d754078599 | /src/data/polynomial/monomial.lean | eb8f32669e6bb9464120e9434e112f803778f129 | [
"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 | 2,539 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Johannes HΓΆlzl, Scott Morrison, Jens Wagemaker
-/
import data.polynomial.basic
/-!
# Univariate monomials
Preparatory lemmas for degree_basic.
-/
noncomputable theory
n... |
b917d87f7ab46caf36c860833c1be056e880d143 | 7cef822f3b952965621309e88eadf618da0c8ae9 | /src/tactic/converter/interactive.lean | 843cbe07a6b2b07b2b7bf8d4df20dfc7d8542ba5 | [
"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 | 4,037 | lean | /-
Copyright (c) 2017 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Lucas Allen, Keeley Hoek, Leonardo de Moura
Converter monad for building simplifiers.
-/
import tactic.core tactic.converter.old_conv
namespace old_conv
meta def save_info (p ... |
51d97dbf243021df48ef041d66f2e6f1b54771d1 | 3dc4623269159d02a444fe898d33e8c7e7e9461b | /.github/workflows/project_1_a_decrire/foncteur/Untitled-2_tedtdtt.lean | b392709201fa1ea029ae7aa3697aa2070c8ff741 | [] | no_license | Or7ando/lean | cc003e6c41048eae7c34aa6bada51c9e9add9e66 | d41169cf4e416a0d42092fb6bdc14131cee9dd15 | refs/heads/master | 1,650,600,589,722 | 1,587,262,906,000 | 1,587,262,906,000 | 255,387,160 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,568 | lean | import ring_theory.algebra
import data.polynomial
import tactic
import algebra.category.CommRing.basic
import data.finsupp
open CommRing
open finsupp finset lattice
open algebra
open finsupp
namespace tr
end tr
--- Goal : Soit Ο : Z β R un morphisme d'anneau, soit P un polynΓ΄me β€[X] et x β R, alors Ο(P(... |
510ccbe11c87539b11ddd3164bd638fac802a335 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/lake/Lake/Main.lean | 620b9bd485f3aa8f7ac09b979de467ffb014fbed | [
"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 | 331 | lean | /-
Copyright (c) 2017 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gabriel Ebner, Sebastian Ullrich, Mac Malone
-/
import Lake
import Lake.CLI
def main (args : List String) : IO UInt32 := do
Lake.cli args -- should not throw errors (outside ... |
be68412f488ca6db5a9f805de91c9e0b7943f798 | 80cc5bf14c8ea85ff340d1d747a127dcadeb966f | /src/algebra/polynomial/big_operators.lean | 338c72de704f4e1725fc18eb2844a236957fe50a | [
"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 | 4,568 | lean | /-
Copyright (c) 2020 Aaron Anderson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Aaron Anderson, Jalex Stark.
-/
import data.polynomial.monic
import tactic.linarith
open polynomial finset
/-!
# Polynomials
Lemmas for the interaction between polynomials and β and... |
d2922d55bf986a6e6e122319ce274deeb9237d7f | 35677d2df3f081738fa6b08138e03ee36bc33cad | /src/data/seq/wseq.lean | 1e10db66297e8e7525fe822fb3aaa475a1faa46e | [
"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 | 55,032 | lean | /-
Copyright (c) 2017 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Mario Carneiro
-/
import data.seq.seq data.seq.computation data.dlist
universes u v w
/-
coinductive wseq (Ξ± : Type u) : Type u
| nil : wseq Ξ±
| cons : Ξ± β wseq Ξ± β wseq Ξ±
| thi... |
a9b0a233feacab8c34c62063877d469463316898 | ce6917c5bacabee346655160b74a307b4a5ab620 | /src/ch3/ex0213.lean | ff44675c14f6fd2b0fa3bf75fa2a3d4dbbb03677 | [] | no_license | Ailrun/Theorem_Proving_in_Lean | ae6a23f3c54d62d401314d6a771e8ff8b4132db2 | 2eb1b5caf93c6a5a555c79e9097cf2ba5a66cf68 | refs/heads/master | 1,609,838,270,467 | 1,586,846,743,000 | 1,586,846,743,000 | 240,967,761 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 133 | lean | variables p q r : Prop
theorem t2 (hβ : q β r) (hβ : p β q) : p β r :=
assume hβ : p,
show r, from hβ (hβ hβ)
|
bc39e16aba418deb8b1737f0f9bfba971c231c5d | 2eab05920d6eeb06665e1a6df77b3157354316ad | /src/data/real/basic.lean | d3e217b9212fe6e05f441bf34e56e29f96038bab | [
"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 | 22,870 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Floris van Doorn
-/
import order.conditionally_complete_lattice
import data.real.cau_seq_completion
import algebra.bounds
import algebra.order.archimedean
import algebr... |
5ceb12d01759381905c5591e48c37ea08d076276 | a2ee6a66690e8da666951cac0c243d42db11f9f3 | /src/data/int/basic.lean | aa9b8924d0d63b9bb13489dedc40f0d911fb9249 | [
"Apache-2.0"
] | permissive | shyamalschandra/mathlib | 6d414d7c334bf383e764336843f065bd14c44273 | ca679acad147870b2c5087d90fe3550f107dea49 | refs/heads/master | 1,671,730,354,335 | 1,601,883,576,000 | 1,601,883,576,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 47,775 | lean | /-
Copyright (c) 2016 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad
The integers, with addition, multiplication, and subtraction.
-/
import data.nat.basic
import algebra.order_functions
open nat
namespace int
instance : inhabited β€ := ... |
d23780687404f1f008816769f2204ea265389630 | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /tests/lean/run/def4.lean | d142185ceaa32dd41fce9cf4c2001790218657a8 | [
"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 | 84 | lean |
section
variable (A : Type)
definition f : A β A :=
Ξ» x, x
end
check f
|
755e888018b94b86e5f4faee2ecf08dbeafab458 | 82e44445c70db0f03e30d7be725775f122d72f3e | /src/ring_theory/noetherian.lean | 620aea35288407f58ae8bc74cc4bc1d2187a3588 | [
"Apache-2.0"
] | permissive | stjordanis/mathlib | 51e286d19140e3788ef2c470bc7b953e4991f0c9 | 2568d41bca08f5d6bf39d915434c8447e21f42ee | refs/heads/master | 1,631,748,053,501 | 1,627,938,886,000 | 1,627,938,886,000 | 228,728,358 | 0 | 0 | Apache-2.0 | 1,576,630,588,000 | 1,576,630,587,000 | null | UTF-8 | Lean | false | false | 34,450 | lean | /-
Copyright (c) 2018 Mario Carneiro, Kevin Buzzard. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Kevin Buzzard
-/
import algebraic_geometry.prime_spectrum
import data.multiset.finset_ops
import linear_algebra.linear_independent
import order.order_iso... |
a48ee73da5d88b28d01271f4eccef79b87107e9f | 4fa161becb8ce7378a709f5992a594764699e268 | /src/analysis/special_functions/pow.lean | 0c5d03c36ecd2fc0a03a260e916eee6d67d518c0 | [
"Apache-2.0"
] | permissive | laughinggas/mathlib | e4aa4565ae34e46e834434284cb26bd9d67bc373 | 86dcd5cda7a5017c8b3c8876c89a510a19d49aad | refs/heads/master | 1,669,496,232,688 | 1,592,831,995,000 | 1,592,831,995,000 | 274,155,979 | 0 | 0 | Apache-2.0 | 1,592,835,190,000 | 1,592,835,189,000 | null | UTF-8 | Lean | false | false | 48,304 | 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 SΓΆnne, SΓ©bastien GouΓ«zel
-/
import analysis.special_functions.trigonometric
import analysis.calculus.extend_deriv
/-!
# Power func... |
a49216d0a4bfbe0cd2ea6828ab77e8d438c56bea | e00ea76a720126cf9f6d732ad6216b5b824d20a7 | /src/set_theory/cardinal.lean | c031fd2a719eaad0fa59fa9a9d5ecedec5dc45c8 | [
"Apache-2.0"
] | permissive | vaibhavkarve/mathlib | a574aaf68c0a431a47fa82ce0637f0f769826bfe | 17f8340912468f49bdc30acdb9a9fa02eeb0473a | refs/heads/master | 1,621,263,802,637 | 1,585,399,588,000 | 1,585,399,588,000 | 250,833,447 | 0 | 0 | Apache-2.0 | 1,585,410,341,000 | 1,585,410,341,000 | null | UTF-8 | Lean | false | false | 45,210 | lean | /-
Copyright (c) 2017 Johannes HΓΆlzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Johannes HΓΆlzl, Mario Carneiro
-/
import data.set.countable data.quot logic.function set_theory.schroeder_bernstein
import data.fintype.card
/-!
# Cardinal Numbers
We define cardinal... |
3272d8d2470291d7a1b0d413423292fc0fae2b3e | 31f556cdeb9239ffc2fad8f905e33987ff4feab9 | /src/Lean/Widget/InteractiveGoal.lean | 45b63ec1c4b2772fc3ebc6ca8dc15cf2c975ed8e | [
"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 | 8,032 | lean | /-
Copyright (c) 2021 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Wojciech Nawrocki
-/
import Lean.Meta.PPGoal
import Lean.Widget.InteractiveCode
import Lean.Data.Lsp.Extra
/-! RPC procedures for retrieving tactic and term goals with embedde... |
6ab19dbeec987fce0204747a30ee158f7fc2c73f | 624f6f2ae8b3b1adc5f8f67a365c51d5126be45a | /tmp/new-frontend/parser/command.lean | d43aa19346b2783d2afe9bacf1d62f6eea1a6d3c | [
"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 | 4,964 | lean | /-
Copyright (c) 2018 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Sebastian Ullrich
Command parsers
-/
prelude
import init.lean.parser.declaration
namespace Lean
namespace Parser
open Combinators MonadParsec
open Parser.HasTokens Parser.HasV... |
73eebdcceecbd51289716848be5ad481b592bb3b | cc060cf567f81c404a13ee79bf21f2e720fa6db0 | /lean/20170405-eq.rec.lean | c5749841803276ca1aa652b8e5eb26a9c8937781 | [
"Apache-2.0"
] | permissive | semorrison/proof | cf0a8c6957153bdb206fd5d5a762a75958a82bca | 5ee398aa239a379a431190edbb6022b1a0aa2c70 | refs/heads/master | 1,610,414,502,842 | 1,518,696,851,000 | 1,518,696,851,000 | 78,375,937 | 2 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 589 | lean |
def f ( x : β ) := x + 1
lemma p : f 3 = 4 := begin unfold f, trivial end
structure X ( n : β ) :=
( m : β )
@[reducible] def g ( x : X (f 3) ) : X 4 :=
begin
pose y := @X.mk (f 3) x.m,
refine (cast _ x),
rewrite p
end
lemma h ( x : X (f 3) ) ( h : x.m = 0 ) : (g x).m = 0 :=
begin
-- https://groups.google... |
21b263f7980d686ab7a7c0b76b922324f42da074 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/data/list/count.lean | 1f77bc6d461d4b5ef90068f778f226d01d2ececc | [
"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 | 9,607 | lean | /-
Copyright (c) 2014 Parikshit Khanna. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Parikshit Khanna, Jeremy Avigad, Leonardo de Moura, Floris van Doorn, Mario Carneiro
-/
import data.list.big_operators.basic
/-!
# Counting in lists
This file proves basic properti... |
833c9873d9eb52411d725d51d11ceca6858af902 | 4bcaca5dc83d49803f72b7b5920b75b6e7d9de2d | /stage0/src/Lean/Server/Requests.lean | bead5e42a3333aa75a264746819aa172e693f59e | [
"Apache-2.0"
] | permissive | subfish-zhou/leanprover-zh_CN.github.io | 30b9fba9bd790720bd95764e61ae796697d2f603 | 8b2985d4a3d458ceda9361ac454c28168d920d3f | refs/heads/master | 1,689,709,967,820 | 1,632,503,056,000 | 1,632,503,056,000 | 409,962,097 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 6,640 | lean | /-
Copyright (c) 2021 Wojciech Nawrocki. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Wojciech Nawrocki, Marc Huisinga
-/
import Lean.DeclarationRange
import Lean.Data.Json
import Lean.Data.Lsp
import Lean.Server.FileSource
import Lean.Server.FileWorker.Utils
imp... |
569566d0476cb143f4c47279b8750e738a72e48c | c3e8fac5ab7ca328e55bccf82a0207a97f96678c | /lean/src/tutorial.lean | 9efa91aa1b8403798c1c3884f56d3e2c3c401063 | [
"Unlicense"
] | permissive | Rotsor/brainfuck | 941bb33862ce3e9d61f0454db5ca02942f4b5775 | 3e6f30f298b8ba76d0bc71b8b5a47cedaf2f0b97 | refs/heads/master | 1,619,718,778,100 | 1,532,913,653,000 | 1,532,913,653,000 | 121,682,141 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 9,209 | lean | -- 4.6
namespace section_4_6_1
variables (Ξ± : Type) (p q : Ξ± β Prop)
example : (β x, p x β§ q x) β (β x, p x) β§ (β x, q x) :=
iff.intro
(assume h : β x, p x β§ q x,
have r1 : (β x, p x), from (Ξ» x, and.elim_left (h x)),
have r2 : (β x, q x), from (Ξ» x, and.elim_right (h x)),
... |
e6a3c09ba3778fddd56617119d7c089f8d91e1d7 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/ring_theory/polynomial/rational_root.lean | 67b786831fd8ad58debe5f61c463f69485874103 | [
"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 | 5,155 | lean | /-
Copyright (c) 2020 Anne Baanen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Anne Baanen
-/
import ring_theory.integrally_closed
import ring_theory.localization.num_denom
import ring_theory.polynomial.scale_roots
/-!
# Rational root theorem and integral root the... |
e78a6b8fa4d458de5cd7d101aa37d69bc7b90609 | 9c1ad797ec8a5eddb37d34806c543602d9a6bf70 | /monoidal_categories/lemmas/pentagon_in_terms_of_natural_transformations.lean | 651a307a03bfab89ffe9c86fc8c7d940e0328739 | [] | no_license | timjb/lean-category-theory | 816eefc3a0582c22c05f4ee1c57ed04e57c0982f | 12916cce261d08bb8740bc85e0175b75fb2a60f4 | refs/heads/master | 1,611,078,926,765 | 1,492,080,000,000 | 1,492,080,000,000 | 88,348,246 | 0 | 0 | null | 1,492,262,499,000 | 1,492,262,498,000 | null | UTF-8 | Lean | false | false | 1,342 | lean | -- Copyright (c) 2017 Scott Morrison. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Authors: Stephen Morgan, Scott Morrison
import .pentagon_in_terms_of_natural_transformations_definitions
open tqft.categories
open tqft.categories.functor
open tqft.categories.products
o... |
cfb4f9fca7b7de8027c7816c2f73fe5167180c57 | aa5a655c05e5359a70646b7154e7cac59f0b4132 | /src/Lean/Declaration.lean | 00aee16826ff4ab06f20be69cef32005360a56cb | [
"Apache-2.0"
] | permissive | lambdaxymox/lean4 | ae943c960a42247e06eff25c35338268d07454cb | 278d47c77270664ef29715faab467feac8a0f446 | refs/heads/master | 1,677,891,867,340 | 1,612,500,005,000 | 1,612,500,005,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 14,090 | lean | /-
Copyright (c) 2018 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Expr
namespace Lean
/--
Reducibility hints are used in the convertibility checker.
When trying to solve a constraint such a
(f ...)... |
bba6d118014a0f55e746438df7285d1d8db169d4 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/algebra/group/inj_surj.lean | 45bf4c49d60f227c0567a834118129663f001796 | [
"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 | 22,241 | lean | /-
Copyright (c) 2020 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin
-/
import algebra.group.defs
import logic.function.basic
/-!
# Lifting algebraic data classes along injective/surjective maps
This file provides definitions that are m... |
292f9f3d312d7ecc84e240ca4d991e0c9782db67 | 5d76f062116fa5bd22eda20d6fd74da58dba65bb | /src/snarks/pinocchio_strong_qap/vars.lean | 764a59e09accf0a913382c80fd7c286b041e30d5 | [] | no_license | brando90/formal_baby_snark | 59e4732dfb43f97776a3643f2731262f58d2bb81 | 4732da237784bd461ff949729cc011db83917907 | refs/heads/master | 1,682,650,246,414 | 1,621,103,975,000 | 1,621,103,975,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 270 | lean | import data.fintype.basic
section
/-- An inductive type from which to index the variables of the 3-variable polynomials the proof manages -/
@[derive decidable_eq]
inductive vars : Type
| s : vars
| Ξ± : vars
| Ξ²_v : vars
| Ξ²_w : vars
| Ξ²_y : vars
| Ξ³ : vars
end |
38c975b9bbf7ea1370ecfd9ff267f67133e60e6b | 46125763b4dbf50619e8846a1371029346f4c3db | /src/order/liminf_limsup.lean | cac78dbac519a8b7a5a6fba3c224dffebd0ccf17 | [
"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 | 15,950 | lean | /-
Copyright (c) 2018 SΓ©bastien GouΓ«zel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: SΓ©bastien GouΓ«zel, Johannes HΓΆlzl
Defines the Liminf/Limsup of a function taking values in a conditionally complete lattice, with
respect to an arbitrary filter.
We define `f.Lims... |
5c48b92e36741950e633f1d80d9751a802d21340 | c777c32c8e484e195053731103c5e52af26a25d1 | /src/algebra/invertible.lean | 6728fe56ad325f1ebcac1c0fa9b915c94eb6d66b | [
"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 | 12,103 | lean | /-
Copyright (c) 2020 Anne Baanen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Anne Baanen
-/
import algebra.group.units
import algebra.group_with_zero.units.lemmas
import algebra.ring.defs
/-!
# Invertible elements
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> An... |
412b9c804d86fbbacc8cc85fa3f29ae65382ae6b | 6dacdff2020860f2468bb8dacf344e6b043d6a78 | /cap/src/demo_tac.lean | 3cacec720bd757f65947a869185817abcede884b | [] | no_license | alexjbest/talks | 514ca57af312a14cf68c30efa1c7228294edc190 | 84976b4329ea768c754da72cc15d5ce29332466d | refs/heads/master | 1,686,993,465,308 | 1,686,315,975,000 | 1,686,315,975,000 | 16,347,963 | 2 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 249 | lean | import tactic
lemma one : 7 + 0 = 7 :=
begin
sorry,
end
lemma three : β n, n + 0 = n :=
begin
rw add_zero,
end
lemma our_zero_add (n : β) : 0 + n = n :=
begin
end
lemma more_props (P Q : Prop) (hP : P) (hQ : Q) : P β§ Q :=
begin
end
|
8401851a36b67d932f56bf6f8fcd2e5f3e780951 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/algebra/algebra/operations.lean | 0406fdfa1234e784e74db5251e4ae8ed5c11825e | [
"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 | 21,552 | 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.algebra.bilinear
import algebra.module.submodule.pointwise
import algebra.module.submodule.bilinear
import algebra.module.opposites
import data.finset.pointwise
... |
174d3f7f6cd71d73ceea0b2a96f35c8576e13c91 | 130c49f47783503e462c16b2eff31933442be6ff | /src/Lean/Elab/Syntax.lean | 953ddc79ef13bbd61eab2360be096dee2ed090a2 | [
"Apache-2.0"
] | permissive | Hazel-Brown/lean4 | 8aa5860e282435ffc30dcdfccd34006c59d1d39c | 79e6732fc6bbf5af831b76f310f9c488d44e7a16 | refs/heads/master | 1,689,218,208,951 | 1,629,736,869,000 | 1,629,736,896,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 15,468 | lean | /-
Copyright (c) 2020 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Elab.Command
import Lean.Parser.Syntax
import Lean.Elab.Util
namespace Lean.Elab.Term
/-
Expand `optional Β«precedenceΒ»` where
Β«precedenceΒ» := ... |
f73ecc5db93f188e67637d873e881929b1b97cd6 | 8e6cad62ec62c6c348e5faaa3c3f2079012bdd69 | /src/topology/metric_space/basic.lean | dd971ee9738a919d98c1b12541b6fc8952e9b372 | [
"Apache-2.0"
] | permissive | benjamindavidson/mathlib | 8cc81c865aa8e7cf4462245f58d35ae9a56b150d | fad44b9f670670d87c8e25ff9cdf63af87ad731e | refs/heads/master | 1,679,545,578,362 | 1,615,343,014,000 | 1,615,343,014,000 | 312,926,983 | 0 | 0 | Apache-2.0 | 1,615,360,301,000 | 1,605,399,418,000 | Lean | UTF-8 | Lean | false | false | 84,858 | lean | /-
Copyright (c) 2015, 2017 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Metric spaces.
Authors: Jeremy Avigad, Robert Y. Lewis, Johannes HΓΆlzl, Mario Carneiro, SΓ©bastien GouΓ«zel
Many definitions and theorems expected on metric spaces are already introduced o... |
1c3f8e8af433402518668ad642562dc68f4dda55 | 32025d5c2d6e33ad3b6dd8a3c91e1e838066a7f7 | /src/Lean/Environment.lean | bece88fa637426543ff3f19b4ec2a9d12c2402e5 | [
"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 | 30,083 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Std.Data.HashMap
import Lean.Data.SMap
import Lean.Declaration
import Lean.LocalContext
import Lean.Util.Path
import Lean.Util.FindExpr
namespace Le... |
7c24a4876b7a7f9345643b459a15a96b088086fc | f1a12d4db0f46eee317d703e3336d33950a2fe7e | /common/tauto.lean | 000be557d5fb6967ca4dce0f55b2d5fee44d35f2 | [
"Apache-2.0"
] | permissive | avigad/qelim | bce89b79c717b7649860d41a41a37e37c982624f | b7d22864f1f0a2d21adad0f4fb3fc7ba665f8e60 | refs/heads/master | 1,584,548,938,232 | 1,526,773,708,000 | 1,526,773,708,000 | 134,967,693 | 2 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 497 | lean | import ...mathlib.logic.basic
lemma or_iff_or (p p' q q' : Prop) :
(p β p') β (q β q') β ((p β¨ q) β (p' β¨ q')) :=
begin
intros hp hq, rewrite hp, rewrite hq
end
lemma and_iff_and (p p' q q' : Prop) :
(p β p') β (q β q') β ((p β§ q) β (p' β§ q')) :=
begin
intros hp hq, rewrite hp, rewrite hq
end
lemma forall_... |
cbc20ca539ebca88086178838892f8f47d275a27 | 1fd908b06e3f9c1252cb2285ada1102623a67f72 | /algebra/classes.lean | d0f0d4754ff9c450d134e4b1cb81dd5299b87eb4 | [
"Apache-2.0"
] | permissive | avigad/hott3 | 609a002849182721e7c7ae536d9f1e2956d6d4d3 | f64750cd2de7a81e87d4828246d1369d59f16f43 | refs/heads/master | 1,629,027,243,322 | 1,510,946,717,000 | 1,510,946,717,000 | 103,570,461 | 0 | 0 | null | 1,505,415,620,000 | 1,505,415,620,000 | null | UTF-8 | Lean | false | false | 2,973 | 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 ..init
universes u v w
hott_theory
namespace hott
@[algebra] class is_commutative (Ξ± : Type u) (op : Ξ± β Ξ± β Ξ±) : Type u :=
(comm : β a b, op a b ... |
63bb890ea5d1a1d46ab45d0efbb981b52bf54eb8 | 1dd482be3f611941db7801003235dc84147ec60a | /src/topology/instances/ennreal.lean | b28e73ca0f566c2037f7200bca9d84d08f4d08d1 | [
"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 | 27,295 | lean | /-
Copyright (c) 2017 Johannes HΓΆlzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Johannes HΓΆlzl
Extended non-negative reals
-/
import topology.instances.nnreal data.real.ennreal
noncomputable theory
open classical set lattice filter metric
local attribute [instance... |
132856c4adfec5bc97f42e3c4402ff0fb54380ed | 43390109ab88557e6090f3245c47479c123ee500 | /src/M3P14/x_sq_plus_n_y_sq.lean | 0ad47e708e864c3eae09650ff53051a06f47c054 | [
"Apache-2.0"
] | permissive | Ja1941/xena-UROP-2018 | 41f0956519f94d56b8bf6834a8d39473f4923200 | b111fb87f343cf79eca3b886f99ee15c1dd9884b | refs/heads/master | 1,662,355,955,139 | 1,590,577,325,000 | 1,590,577,325,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 76,013 | lean | /-
Copyright (c) 2018 Clara List. All rights reserved.
-/
import M3P14.lqr
import data.list.basic
import data.padics.padic_norm
open int list
lemma identity (c d n x y : β€) : (c^2 + n*d^2)*(x^2 + n*y^2) = (x*c - n*d*y)^2 + n*(c*y + d*x)^2 := by ring
lemma nonneg_int {a x y n : β€} (hn : 0 < n) : a = x^2 + n*y^2 β 0... |
8051d55ee11d3ae479048befd88146c09045bf07 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/analysis/box_integral/integrability.lean | eaf33e8b5785168beb321f06c57d0c52ff550b40 | [
"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 | 17,640 | lean | /-
Copyright (c) 2021 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov
-/
import analysis.box_integral.basic
/-!
# McShane integrability vs Bochner integrability
In this file we prove that any Bochner integrable function is McShane inte... |
4ee9b9abe8783852835bd7f8453697237b31816a | 35677d2df3f081738fa6b08138e03ee36bc33cad | /src/category_theory/monoidal/category.lean | 7be8718f760393d07b4e39c16ae94828840819ff | [
"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 | 16,133 | lean | /-
Copyright (c) 2018 Michael Jendrusch. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Michael Jendrusch, Scott Morrison
-/
import category_theory.products.basic
import category_theory.natural_isomorphism
import tactic.basic
import tactic.slice
open category_theory
... |
f5271e898e8d45d6774cda6ed8412bd8d4f0aaa4 | 94e33a31faa76775069b071adea97e86e218a8ee | /src/topology/algebra/star.lean | 687cd33e7810e2d7a08e1ce3780a1e3d6ea098eb | [
"Apache-2.0"
] | permissive | urkud/mathlib | eab80095e1b9f1513bfb7f25b4fa82fa4fd02989 | 6379d39e6b5b279df9715f8011369a301b634e41 | refs/heads/master | 1,658,425,342,662 | 1,658,078,703,000 | 1,658,078,703,000 | 186,910,338 | 0 | 0 | Apache-2.0 | 1,568,512,083,000 | 1,557,958,709,000 | Lean | UTF-8 | Lean | false | false | 3,013 | lean | /-
Copyright (c) 2022 Eric Wieser. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Eric Wieser
-/
import algebra.star.pi
import algebra.star.prod
import topology.algebra.group
/-!
# Continuity of `star`
This file defines the `has_continuous_star` typeclass, along with... |
b65044200606ceb4dd2e8cc52455a08121c208be | 649957717d58c43b5d8d200da34bf374293fe739 | /src/category_theory/equivalence.lean | 3746b23e195a1c536e2f70907b762afe9998e7a3 | [
"Apache-2.0"
] | permissive | Vtec234/mathlib | b50c7b21edea438df7497e5ed6a45f61527f0370 | fb1848bbbfce46152f58e219dc0712f3289d2b20 | refs/heads/master | 1,592,463,095,113 | 1,562,737,749,000 | 1,562,737,749,000 | 196,202,858 | 0 | 0 | Apache-2.0 | 1,562,762,338,000 | 1,562,762,337,000 | null | UTF-8 | Lean | false | false | 14,260 | lean | -- Copyright (c) 2017 Scott Morrison. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Authors: Tim Baumann, Stephen Morgan, Scott Morrison, Floris van Doorn
import category_theory.fully_faithful
import category_theory.whiskering
import category_theory.natural_isomorphism
... |
e68f2cba50fe9183be92ddcd332c48520a8b1104 | 1dd482be3f611941db7801003235dc84147ec60a | /src/algebra/gcd_domain.lean | e062829a4f121d8d32bb12b1a1b59f8a703c8405 | [
"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 | 14,638 | lean | /-
Copyright (c) 2018 Johannes HΓΆlzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes HΓΆlzl, Jens Wagemaker
GCD domain and integral domains with normalization functions
TODO: abstract the domains to to semi domains (i.e. domains on semirings) to include β and... |
30633d7130b01a4e15c60dccd23dda6f6fd6301b | 5a5e1bb8063d7934afac91f30aa17c715821040b | /lean3SOS/src/float/basic.lean | cabe0ce3e3b87d643ac486a9dfb6a781c2385e94 | [] | no_license | ramonfmir/leanSOS | 1883392d73710db5c6e291a2abd03a6c5b44a42b | 14b50713dc887f6d408b7b2bce1f8af5bb619958 | refs/heads/main | 1,683,348,826,105 | 1,622,056,982,000 | 1,622,056,982,000 | 341,232,766 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 13,699 | lean | import data.int.basic
import data.rat.basic
import data.real.basic
import float.reduce
import tactic
-- Float structure before quotiening. Basic operations.
structure float_raw := (m : β€) (e : β€)
namespace float_raw
def reduce (x : float_raw) : float_raw :=
let m := if x.m < 0 then int.to_nat (-x.m) else int.to_na... |
037f2cf288457d96b15b450ff83fc86bcdfbc5a3 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/invalidPatternIssue.lean | 250429752d6ff5d11c9bfd349f1af8bd6b1e5633 | [
"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 | 304 | lean | structure Pos where
protected succ ::
protected pred : Nat
protected def Pos.add : Pos β Pos β Pos
| Pos.succ x, Pos.succ y => Pos.succ (x + y).succ
instance : Add Pos := β¨Pos.addβ©
instance (x : Nat) : OfNat Pos x.succ := β¨Pos.succ xβ©
def f : Pos β Pos
| 1 => 1
| x+1 => f x + x + 1
|
dc7677176c22786240775c731a9b1673435f6a15 | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /tests/lean/run/gcd.lean | 7def2397c8ba3aac271d5af1d98452e79066150b | [
"Apache-2.0"
] | permissive | soonhokong/lean-osx | 4a954262c780e404c1369d6c06516161d07fcb40 | 3670278342d2f4faa49d95b46d86642d7875b47c | refs/heads/master | 1,611,410,334,552 | 1,474,425,686,000 | 1,474,425,686,000 | 12,043,103 | 5 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 1,702 | lean | open nat well_founded decidable prod
namespace playground
-- Setup
definition pair_nat.lt := lex nat.lt nat.lt
definition pair_nat.lt.wf : well_founded pair_nat.lt :=
intro_k (prod.lex_wf lt_wf lt_wf) 20 -- the '20' is for being able to execute the examples... it means 20 recursive call without proof computation
i... |
14bc510e73d58930c0e1e1c023f6080483326425 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/logic/small/list.lean | eb668f3dcb1188269be8ac7c380086c8998d1331 | [
"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 | 835 | 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 logic.small.basic
import data.vector.basic
/-!
# Instances for `small (list Ξ±)` and `small (vector Ξ±)`.
These must not be in `logic.small.basic` as this is v... |
6ba427e657fbded258859ac32abb050bef4c4d12 | 36c7a18fd72e5b57229bd8ba36493daf536a19ce | /tests/lean/run/mult.lean | 61959e06db458af93f0b9d81abd581dce2bc1440 | [
"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 | 288 | lean | structure C [class] :=
(val : nat)
attribute C [multiple_instances]
definition c1 [instance] : C := C.mk 1
definition c2 [instance] : C := C.mk 2
set_option class.trace_instances true
definition f [s : C] : nat := C.val
definition tst1 : f = 1 :=
rfl
definition tst2 : f = 2 :=
rfl
|
4d3669e5fd912f9836197ca23ea920ed165a43be | 597e185014db6ce8a949dac0322798f11218338b | /src/combinatorics.lean | a3b307222ab953d35f39a93b82c582df497bd0a2 | [] | no_license | b-mehta/lean-experiments | 58ce21c7106dfde163c236175fee30b341ba69ee | 5f0aed189f724ae6f739ec75dcdddcd2687614e1 | refs/heads/master | 1,598,987,002,293 | 1,576,649,380,000 | 1,576,649,380,000 | 219,032,370 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,883 | lean | import data.finset
import data.fintype
import data.fin
import data.rat
open function
open finset
variables {Ξ± : Type*} {Ξ² : Type*}
variables [fintype Ξ±] [fintype Ξ²]
namespace fintype
theorem card_image_of_injective [decidable_eq Ξ²] {f : Ξ± β Ξ²}: injective f β finset.card ((elems Ξ±).image f) = card Ξ± :=
finset.car... |
e6f42f01a687e3a6fafea03c67a9f3981b1de3ee | 798dd332c1ad790518589a09bc82459fb12e5156 | /data/equiv/basic.lean | c0111d8664a11cd3f6cc61a755f3041980a3e669 | [
"Apache-2.0"
] | permissive | tobiasgrosser/mathlib | b040b7eb42d5942206149371cf92c61404de3c31 | 120635628368ec261e031cefc6d30e0304088b03 | refs/heads/master | 1,644,803,442,937 | 1,536,663,752,000 | 1,536,663,907,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 27,618 | 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
In the standard library we cannot assume the univalence axiom.
We say two types are equivalent if they are isomorphic.
Two equivalent types h... |
8aa48d92f6d808597a2b96e7f1da59039730603a | 8c02fed42525b65813b55c064afe2484758d6d09 | /src/irtest_run.lean | 94e2449a48fdcbe6269d8869e72e8b32d0e4aa80 | [
"LicenseRef-scancode-generic-cla",
"MIT"
] | permissive | microsoft/AliveInLean | 3eac351a34154efedd3ffc4fe2fa4ec01b219e0d | 4b739dd6e4266b26a045613849df221374119871 | refs/heads/master | 1,691,419,737,939 | 1,689,365,567,000 | 1,689,365,568,000 | 131,156,103 | 23 | 18 | NOASSERTION | 1,660,342,040,000 | 1,524,747,538,000 | Lean | UTF-8 | Lean | false | false | 16,188 | lean | -- Copyright (c) Microsoft Corporation. All rights reserved.
-- Licensed under the MIT license.
import system.io
import system.random
import .lang
import .lang_tostr
import .irsem
import .irsem_exec
import .freevar
-- Randomly picks an element from a list
def pick {Ξ±:Type} (l:list Ξ±) (g:std_gen)
(HPOS:0 < l.lengt... |
73d3aa92df90931021c20b1f2307b107cd019e71 | d9d511f37a523cd7659d6f573f990e2a0af93c6f | /src/data/complex/exponential.lean | 3db31ed1fc46498eee9b2522ab64d43add42cba5 | [
"Apache-2.0"
] | permissive | hikari0108/mathlib | b7ea2b7350497ab1a0b87a09d093ecc025a50dfa | a9e7d333b0cfd45f13a20f7b96b7d52e19fa2901 | refs/heads/master | 1,690,483,608,260 | 1,631,541,580,000 | 1,631,541,580,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 63,971 | 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
-/
import algebra.geom_sum
import data.complex.basic
import data.nat.choose.sum
/-!
# Exponential, trigonometric and hyperbolic trigonometric func... |
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