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values | repo_name stringlengths 7 55 | snapshot_id stringlengths 40 40 | revision_id stringlengths 40 40 | branch_name stringclasses 6
values | visit_date int64 1,471B 1,694B | revision_date int64 1,378B 1,694B | committer_date int64 1,378B 1,694B | github_id float64 1.33M 604M ⌀ | star_events_count int64 0 43.5k | fork_events_count int64 0 1.5k | gha_license_id stringclasses 6
values | gha_event_created_at int64 1,402B 1,695B ⌀ | gha_created_at int64 1,359B 1,637B ⌀ | gha_language stringclasses 19
values | src_encoding stringclasses 2
values | language stringclasses 1
value | is_vendor bool 1
class | is_generated bool 1
class | length_bytes int64 3 6.4M | extension stringclasses 4
values | content stringlengths 3 6.12M |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
2b9a2500378e6dd2dce2c5c12b3fbe26cb86406a | 4727251e0cd73359b15b664c3170e5d754078599 | /src/analysis/special_functions/trigonometric/complex_deriv.lean | 65bd9c6f5e77b3683e1bb3951558333ddfdef2ba | [
"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 | 2,610 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Abhimanyu Pallavi Sudhir, Jean Lo, Calle Sönne, Benjamin Davidson
-/
import analysis.special_functions.trigonometric.complex
import analysis.special_functions.trigonometric... |
c35bffcba7eed821407ed633aefd59b3a49aaf9b | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/specialize3.lean | 9bbbddc64fbaa55cd9cc98fea1aa2d83fa0bf2cf | [
"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 | 380 | lean | class Class where
instance empty: Class := {}
mutual
inductive T (δ: Class) where
| mk (ss: List (S δ))
inductive S (δ: Class) where
| mk (ts: List (T δ))
end
mutual
partial def str_T: T δ → String
| .mk ss => "\n".intercalate (ss.map str_S)
partial def str_S: S δ → String
| .mk ts => "\n".intercalate (ts.map str_T... |
b6eb793d426085a6ef4284308731ce8917fa5706 | 69d4931b605e11ca61881fc4f66db50a0a875e39 | /src/linear_algebra/linear_independent.lean | e71ed61309c28997986ca175e42b5836501edc3c | [
"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 | 50,493 | lean | /-
Copyright (c) 2020 Anne Baanen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro, Alexander Bentkamp, Anne Baanen
-/
import linear_algebra.finsupp
import linear_algebra.prod
import linear_algebra.pi
import order.zorn
import data.finset.o... |
b55ac281c1e265a4bf96c00db15fcec42993ca63 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/tactic/rewrite_search/frontend.lean | a5dbd4bf0b26002f596e9dbfe00b9f8dca941542 | [
"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 | 4,053 | lean | /-
Copyright (c) 2018 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Keeley Hoek, Scott Morrison
-/
import tactic.rewrite_search.explain
import tactic.rewrite_search.discovery
import tactic.rewrite_search.search
/-!
# `rewrite_search`: solving goals b... |
1b0e59cc2f05649dd1968e263d549e9f8bcd2fe0 | cc5bb0a18c45fa529fc8bf0365b1fbf48464c5a8 | /library/init/meta/coinductive_predicates.lean | 8c2f00eece7327d7247f656bc70e5b8c6da5b808 | [
"Apache-2.0"
] | permissive | mk12/lean | 6bb58b9f3cfe312236b41779478d345399f00918 | 092fc89333160661c4c5a6295f3054cafff4341e | refs/heads/master | 1,609,531,450,083 | 1,501,275,267,000 | 1,501,278,025,000 | 98,760,144 | 0 | 0 | null | 1,501,364,485,000 | 1,501,364,485,000 | null | UTF-8 | Lean | false | false | 23,187 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Johannes Hölzl (CMU)
-/
prelude
import init.meta.expr init.meta.tactic init.meta.constructor_tactic init.meta.attribute
import init.meta.interactive
namespace name
def last_string : n... |
576c297f6f6965e1eca1e00ed663b416c523441c | bdb33f8b7ea65f7705fc342a178508e2722eb851 | /data/fp/basic.lean | 14d0c4d9595de0aa5e1ebd53968e74460d14754c | [
"Apache-2.0"
] | permissive | rwbarton/mathlib | 939ae09bf8d6eb1331fc2f7e067d39567e10e33d | c13c5ea701bb1eec057e0a242d9f480a079105e9 | refs/heads/master | 1,584,015,335,862 | 1,524,142,167,000 | 1,524,142,167,000 | 130,614,171 | 0 | 0 | Apache-2.0 | 1,548,902,667,000 | 1,524,437,371,000 | Lean | UTF-8 | Lean | false | false | 6,809 | lean | /-
Copyright (c) 2017 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
Implementation of floating-point numbers (experimental).
-/
import data.rat
namespace fp
inductive rmode
| NE -- round to nearest even
class float_cfg :=
(prec emax... |
d5367cb61ce983fe5ecca7ecec3b348a731d8c1e | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/topology/shrinking_lemma.lean | 811c342b1486c504d5b485e0abd22a5f9f8f7c9e | [
"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 | 12,202 | lean | /-
Copyright (c) 2021 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov, Reid Barton
-/
import topology.separation
/-!
# The shrinking lemma
In this file we prove a few versions of the shrinking lemma. The lemma says that in a normal
top... |
75c6e851f737d9480dae0e55d96ae57f2b283362 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/measure_theory/measurable_space_def.lean | 7dbb7923caccff77b686304db9131c23d9842167 | [
"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 | 17,003 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro
-/
import data.set.disjointed
import data.set.countable
import algebra.indicator_function
import data.equiv.encodable.lattice
import data.tprod
import or... |
2670ddd2e93ad88e190f15fc566ca3480e064923 | 43390109ab88557e6090f3245c47479c123ee500 | /src/Topology/Material/real_results.lean | 1ad88efc3486bacdf4f11f371dec638c31f77639 | [
"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 | 2,680 | lean | /-
Copyright (c) 2018 Luca Gerolla. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Luca Gerolla, Kevin Buzzard
Prove basic results of real continuous functions and closed intervals
-/
import analysis.topology.continuity
import analysis.topology.topological_space
import... |
af4ea0d2627974c461ca5bd372259f921f16b25f | 32025d5c2d6e33ad3b6dd8a3c91e1e838066a7f7 | /tests/lean/run/meta5.lean | 724639b32021d8cd770a10f196950c4cfef00d7d | [
"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 | 631 | lean | import Lean.Meta
open Lean
open Lean.Meta
def tst1 : MetaM Unit :=
withLocalDeclD `y (mkConst `Nat) $ fun y => do
withLetDecl `x (mkConst `Nat) (mkNatLit 0) $ fun x => do {
mvar ← mkFreshExprMVar (mkConst `Nat) MetavarKind.syntheticOpaque;
trace! `Meta mvar;
r ← mkLambdaFVars #[y, x] mvar;
trace! `Meta r;
le... |
7f6518c449378feb1fee91b2d082455cd62b5353 | bbecf0f1968d1fba4124103e4f6b55251d08e9c4 | /src/group_theory/perm/cycle_type.lean | f55de161b79ffd511c8b497bc9d8351e3a88b659 | [
"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 | 26,296 | lean | /-
Copyright (c) 2020 Thomas Browning. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Thomas Browning
-/
import algebra.gcd_monoid.multiset
import combinatorics.partition
import group_theory.perm.cycles
import ring_theory.int.basic
import tactic.linarith
/-!
# Cycle ... |
b762d212fa71e50919bc24a6d89500d35a2d905b | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/data/int/bitwise.lean | 0114fb8fc132ef91e503888d78ca827d24cb7ac0 | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 10,170 | lean | /-
Copyright (c) 2016 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad
-/
import data.int.basic
import data.nat.pow
import data.nat.size
/-!
# Bitwise operations on integers
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this f... |
b7723538639fc780d603c6d450a9dd8043af8816 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/category_theory/monad/limits.lean | aa3cbf51c4909fec48b1c24fd239c30108f92cbd | [
"Apache-2.0"
] | permissive | jcommelin/mathlib | d8456447c36c176e14d96d9e76f39841f69d2d9b | ee8279351a2e434c2852345c51b728d22af5a156 | refs/heads/master | 1,664,782,136,488 | 1,663,638,983,000 | 1,663,638,983,000 | 132,563,656 | 0 | 0 | Apache-2.0 | 1,663,599,929,000 | 1,525,760,539,000 | Lean | UTF-8 | Lean | false | false | 15,238 | lean | /-
Copyright (c) 2019 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison, Bhavik Mehta
-/
import category_theory.monad.adjunction
import category_theory.adjunction.limits
import category_theory.limits.preserves.shapes.terminal
/-!
# Limits a... |
4254ed5da71620a94802c6738bf31fd7cd77eaf7 | 31f556cdeb9239ffc2fad8f905e33987ff4feab9 | /stage0/src/Lean/Elab/DeclModifiers.lean | 1384e3675a442785859d3aefe784c55db31fc33b | [
"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 | 10,010 | 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.Structure
import Lean.Elab.Attributes
namespace Lean.Elab
/--
Ensure the environment does not contain a declaration with na... |
51e44745f7bb5579c16eab57b9cadbc9a7b700b3 | 4fa161becb8ce7378a709f5992a594764699e268 | /src/measure_theory/outer_measure.lean | 4d002c2d23d9e33b52937614af657886c1ae522c | [
"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 | 22,209 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro
Outer measures -- overapproximations of measures
-/
import analysis.specific_limits
import measure_theory.measurable_space
/-!
# Outer Measures
An out... |
8b250ec166c5cab72aa860ec1c4ebfa1e0e81d02 | a11f4536efad51bc2b648123619720f3b9318c0f | /src/limit_of_seq4.lean | 7a8081c2cc7bca159673608748c520f3cf7d6aa1 | [] | no_license | ezrasitorus/codewars_lean | 909471d43f5130669a90b8e11afc37aec2f21d8f | 6d1abcc1253403511f4cfd767c645596175e4fd3 | refs/heads/master | 1,672,659,589,352 | 1,603,281,507,000 | 1,603,281,507,000 | 288,579,451 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,062 | lean | import data.real.basic
open classical
attribute [instance] prop_decidable
/-
Rigorous definition of a limit
For a sequence x_n, we say that \lim_{n \to \infty} x_n = l if
∀ ε > 0, ∃ N, n ≥ N → |x_n - l| < ε
-/
def lim_to_inf (x : ℕ → ℝ) (l : ℝ) :=
∀ ε > 0, ∃ N, ∀ n ≥ N, abs (x n - l) < ε
/-
Bounded seque... |
1d0345cb44d57c080d06d177b995563d59de0a4b | f57749ca63d6416f807b770f67559503fdb21001 | /hott/hit/torus.hlean | b7ffb43a332dfb8b953afcdca3467acb3205460b | [
"Apache-2.0"
] | permissive | aliassaf/lean | bd54e85bed07b1ff6f01396551867b2677cbc6ac | f9b069b6a50756588b309b3d716c447004203152 | refs/heads/master | 1,610,982,152,948 | 1,438,916,029,000 | 1,438,916,029,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,595 | 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 the torus
-/
import .two_quotient
open two_quotient eq bool unit relation
namespace torus
definition torus_R (x y : unit) := bool
local infi... |
5da5537c18182626bdb4a7d7cdf4a61db3d0b072 | 5412d79aa1dc0b521605c38bef9f0d4557b5a29d | /stage0/src/Lean/Server/FileWorker.lean | 38308cf35dcd747c4e0988973d8490d08517badb | [
"Apache-2.0"
] | permissive | smunix/lean4 | a450ec0927dc1c74816a1bf2818bf8600c9fc9bf | 3407202436c141e3243eafbecb4b8720599b970a | refs/heads/master | 1,676,334,875,188 | 1,610,128,510,000 | 1,610,128,521,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 21,177 | lean | /-
Copyright (c) 2020 Marc Huisinga. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Marc Huisinga, Wojciech Nawrocki
-/
import Init.System.IO
import Std.Data.RBMap
import Lean.Environment
import Lean.PrettyPrinter
import Lean.Data.Lsp
import Lean.Data.Json.FromToJso... |
f3f53638649e67f8edb28b1ada402b9203edfde0 | 57aec6ee746bc7e3a3dd5e767e53bd95beb82f6d | /src/Lean/Compiler/IR/Basic.lean | 542d52bbc7b5032003aefa8647b2141f32337ecb | [
"Apache-2.0"
] | permissive | collares/lean4 | 861a9269c4592bce49b71059e232ff0bfe4594cc | 52a4f535d853a2c7c7eea5fee8a4fa04c682c1ee | refs/heads/master | 1,691,419,031,324 | 1,618,678,138,000 | 1,618,678,138,000 | 358,989,750 | 0 | 0 | Apache-2.0 | 1,618,696,333,000 | 1,618,696,333,000 | null | UTF-8 | Lean | false | false | 26,209 | 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.Data.KVMap
import Lean.Data.Name
import Lean.Data.Format
import Lean.Compiler.ExternAttr
/-
Implements (extended) λPure and λRc proposed in the ... |
2fa1fdb6166be441e507cf6579b83be5adc2efc3 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/tactic/ring2.lean | d1d203e7b3a2f141ad6f20ae37f972c4796d0bcb | [] | 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 | 10,837 | 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 Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.tactic.ring
import Mathlib.data.num.lemmas
import Mathlib.data.tree
import Mathlib.PostPort... |
bde7459ca2927b81328d4a51b7d6d1b9c18b742c | 30b012bb72d640ec30c8fdd4c45fdfa67beb012c | /tactic/explode.lean | ea2c7d11947ea378c447262dd700eb798d1b18fc | [
"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 | 4,804 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Mario Carneiro
Displays a proof term in a line by line format somewhat akin to a Fitch style
proof or the Metamath proof style.
-/
import tactic.basic
open expr tactic
namespace tacti... |
58146a98d836901b9a1c0b5923fcb2cc3a436e54 | c09f5945267fd905e23a77be83d9a78580e04a4a | /src/topology/instances/ennreal.lean | becf23d2d0883345d543113aa652eecbb1b855d9 | [
"Apache-2.0"
] | permissive | OHIHIYA20/mathlib | 023a6df35355b5b6eb931c404f7dd7535dccfa89 | 1ec0a1f49db97d45e8666a3bf33217ff79ca1d87 | refs/heads/master | 1,587,964,529,965 | 1,551,819,319,000 | 1,551,819,319,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 28,682 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Johannes Hölzl
Extended non-negative reals
-/
import topology.instances.nnreal data.real.ennreal
noncomputable theory
open classical set lattice filter metric
local attribute [instance... |
51fd9cfdf3470e42c41646ab37692f3b71f39b88 | d31b9f832ff922a603f76cf32e0f3aa822640508 | /src/hott/types/fiber.lean | dd6e81b38fe1bc4af6f6f841e49f4dd4926b2ddd | [
"Apache-2.0"
] | permissive | javra/hott3 | 6e7a9e72a991a2fae32e5764982e521dca617b16 | cd51f2ab2aa48c1246a188f9b525b30f76c3d651 | refs/heads/master | 1,585,819,679,148 | 1,531,232,382,000 | 1,536,682,965,000 | 154,294,022 | 0 | 0 | Apache-2.0 | 1,540,284,376,000 | 1,540,284,375,000 | null | UTF-8 | Lean | false | false | 18,817 | lean | /-
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, Mike Shulman
Ported from Coq HoTT
Theorems about fibers
-/
import .sigma .eq .pi ..cubical.squareover .pointed .eq
universes u v w
hott_theory
namespace hott
o... |
f9ecd5f3620a667fda71aa51f184d94deb5fe5c9 | 491068d2ad28831e7dade8d6dff871c3e49d9431 | /library/algebra/ordered_ring.lean | a56d4828b5ce15cd6e1cf38012054dec9be096ea | [
"Apache-2.0"
] | permissive | davidmueller13/lean | 65a3ed141b4088cd0a268e4de80eb6778b21a0e9 | c626e2e3c6f3771e07c32e82ee5b9e030de5b050 | refs/heads/master | 1,611,278,313,401 | 1,444,021,177,000 | 1,444,021,177,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 26,577 | lean | /-
Copyright (c) 2014 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad
Here an "ordered_ring" is partially ordered ring, which is ordered with respect to both a weak
order and an associated strict order. Our numeric structures (int, rat, and... |
d61d9f23912b4886bad42a9114ae141b4f6fcf29 | efa51dd2edbbbbd6c34bd0ce436415eb405832e7 | /20160406_UW/vec.lean | e8d48cae02f8202ed728cb838837d574a183f1e1 | [
"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 | 198 | lean | import data.vector data.list
open nat list vector
variable {A : Type}
definition to_list [coercion] : ∀ {n : nat}, vector A n → list A
| 0 nil := nil
| (n+1) (a::v) := a::(to_list v)
|
bd81cb718d5453c0fcc6230a95b4d887c4bbf267 | f5f7e6fae601a5fe3cac7cc3ed353ed781d62419 | /src/data/equiv/basic.lean | e45e7b38889a7686710f6d6491d4add80b225d49 | [
"Apache-2.0"
] | permissive | EdAyers/mathlib | 9ecfb2f14bd6caad748b64c9c131befbff0fb4e0 | ca5d4c1f16f9c451cf7170b10105d0051db79e1b | refs/heads/master | 1,626,189,395,845 | 1,555,284,396,000 | 1,555,284,396,000 | 144,004,030 | 0 | 0 | Apache-2.0 | 1,533,727,664,000 | 1,533,727,663,000 | null | UTF-8 | Lean | false | false | 32,996 | 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... |
596911638a30111e244a05a4c43808a79a21fad6 | 7282d49021d38dacd06c4ce45a48d09627687fe0 | /examples/lean/ex4.lean | e470b12d387aeccd665ae7f9cd5d6c3e22710013 | [
"Apache-2.0"
] | permissive | steveluc/lean | 5a0b4431acefaf77f15b25bbb49294c2449923ad | 92ba4e8b2d040a799eda7deb8d2a7cdd3e69c496 | refs/heads/master | 1,611,332,256,930 | 1,391,013,244,000 | 1,391,013,244,000 | 16,361,079 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 239 | lean | import Int
import tactic
definition a : Nat := 10
-- Trivial indicates a "proof by evaluation"
theorem T1 : a > 0 := trivial
theorem T2 : a - 5 > 3 := trivial
-- The next one is commented because it fails
-- theorem T3 : a > 11 := trivial
|
7d57b918d0a407bd3183b7e48c488ceb7e51adef | a721fe7446524f18ba361625fc01033d9c8b7a78 | /src/principia/mynat/parity.lean | 7b78722ad0b91309370c935dc7274e24175fd692 | [] | no_license | Sterrs/leaning | 8fd80d1f0a6117a220bb2e57ece639b9a63deadc | 3901cc953694b33adda86cb88ca30ba99594db31 | refs/heads/master | 1,627,023,822,744 | 1,616,515,221,000 | 1,616,515,221,000 | 245,512,190 | 2 | 0 | null | 1,616,429,050,000 | 1,583,527,118,000 | Lean | UTF-8 | Lean | false | false | 6,759 | lean | -- vim: ts=2 sw=0 sts=-1 et ai tw=70
import .prime
import .induction
namespace hidden
namespace mynat
def even (m: mynat) := 2 ∣ m
def odd (m: mynat) := ¬even m
variables {m n k p: mynat}
theorem even_zero: even 0 :=
begin
existsi (0: mynat),
simp,
end
theorem odd_one: odd 1 :=
begin
assume he1,
have h21... |
91b818935b2441f060dc0a723e64998e1fd8d98f | 9028d228ac200bbefe3a711342514dd4e4458bff | /src/field_theory/splitting_field.lean | 34aa09cf19b4d4018ee8e64ce2cf3a5b730bb40b | [
"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 | 31,951 | 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.adjoin_root
import ring_theory.algebra_tower
import ring_the... |
8728fcde33c41f3521ae550ae887babf498ba391 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/coe.lean | e530f66867f6b22b4e8463478a1c75dcf72f4411 | [
"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 | 263 | lean | import logic
set_option pp.notation false
inductive Functor :=
mk : (Π (A B : Type), A → B) → Functor
definition Functor.to_fun [coercion] (f : Functor) {A B : Type} : A → B :=
Functor.rec (λ f, f) f A B
constant f : Functor
check f (0:num) = (0:num)
|
2a1c4cf19cd5dc9072f51534615ac08e7909132c | a0e23cfdd129a671bf3154ee1a8a3a72bf4c7940 | /tests/lean/run/meta5.lean | 4d9055705af482180ab08d34908ac19b0277b00e | [
"Apache-2.0"
] | permissive | WojciechKarpiel/lean4 | 7f89706b8e3c1f942b83a2c91a3a00b05da0e65b | f6e1314fa08293dea66a329e05b6c196a0189163 | refs/heads/master | 1,686,633,402,214 | 1,625,821,189,000 | 1,625,821,258,000 | 384,640,886 | 0 | 0 | Apache-2.0 | 1,625,903,617,000 | 1,625,903,026,000 | null | UTF-8 | Lean | false | false | 636 | lean | import Lean.Meta
open Lean
open Lean.Meta
def tst1 : MetaM Unit :=
withLocalDeclD `y (mkConst `Nat) $ fun y => do
withLetDecl `x (mkConst `Nat) (mkNatLit 0) $ fun x => do {
let mvar ← mkFreshExprMVar (mkConst `Nat) MetavarKind.syntheticOpaque;
trace[Meta.debug] mvar;
let r ← mkLambdaFVars #[y, x] mvar;
trace[... |
5a68122582a0db3e5315b4008adc62cd435df4f8 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/data/polynomial/erase_lead.lean | 22937302bd4e18537f46c5b126f6af5d1e0f6ae8 | [
"Apache-2.0"
] | permissive | robertylewis/mathlib | 3d16e3e6daf5ddde182473e03a1b601d2810952c | 1d13f5b932f5e40a8308e3840f96fc882fae01f0 | refs/heads/master | 1,651,379,945,369 | 1,644,276,960,000 | 1,644,276,960,000 | 98,875,504 | 0 | 0 | Apache-2.0 | 1,644,253,514,000 | 1,501,495,700,000 | Lean | UTF-8 | Lean | false | false | 9,531 | lean | /-
Copyright (c) 2020 Damiano Testa. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Damiano Testa
-/
import data.polynomial.degree.definitions
/-!
# Erase the leading term of a univariate polynomial
## Definition
* `erase_lead f`: the polynomial `f - leading term of... |
810157a811b9a097324985b4f2c9a0cae2d93a95 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/423.lean | 2332ef6f677416e228912bf2ff187ebf2640fa38 | [
"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 | 115 | lean | universe u
#check fun {T : Sort u} (a : T) => a + 0
#check fun {T : Sort u} (a : T) [Add T] [OfNat T 0] => a + 0
|
a878dd611fd9663861eba30bcfa6285385376ab1 | ea5678cc400c34ff95b661fa26d15024e27ea8cd | /univariate_poly_dif.lean | 3d4de222b0c1b041d47770fbb6e4e775271db931 | [] | 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 | 32,373 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes
Theory of univariate polynomials, represented as finsupps, ℕ →₀ α, with α a comm_semiring
-/
import data.finsupp algebra.euclidean_domain
open finsupp finset lattice
set_... |
2dc2dae4f9f901c6d4172f4d623db1bf0863e498 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/topology/metric_space/baire.lean | 3195723329460e603326616ac0c14e665ad1ad13 | [
"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 | 14,051 | 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 analysis.specific_limits
import order.filter.countable_Inter
import topology.G_delta
/-!
# Baire theorem
In a complete metric space, a countable inters... |
9d752203d51c8002ba508223ce3b408dfd45143b | 618003631150032a5676f229d13a079ac875ff77 | /src/category_theory/differential_object.lean | a3bf8be09629241ac49f7cf364df722632cf4034 | [
"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 | 3,671 | lean | /-
Copyright (c) 2020 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import category_theory.shift
import category_theory.concrete_category
/-!
# Differential objects in a category.
A differential object in a category with zero morphi... |
6640cc1a927eeb3a3640b06b0f3e9ae0673954ca | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/order/partial_sups.lean | 2cd58d459948e312d9e2a1d8f7cd1d5f10eeebf2 | [
"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 | 5,787 | 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 data.finset.lattice
import data.set.pairwise
import order.hom.basic
/-!
# The monotone sequence of partial supremums of a sequence
We define `partial_sups : ... |
199b92a8ca799f7cde6b480d693410f86ccef052 | 6dc0c8ce7a76229dd81e73ed4474f15f88a9e294 | /src/Lean/Meta/Match/Basic.lean | ef7aa4212f98692347464b61d7ecf94a3c6c37a9 | [
"Apache-2.0"
] | permissive | williamdemeo/lean4 | 72161c58fe65c3ad955d6a3050bb7d37c04c0d54 | 6d00fcf1d6d873e195f9220c668ef9c58e9c4a35 | refs/heads/master | 1,678,305,356,877 | 1,614,708,995,000 | 1,614,708,995,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 10,734 | lean | /-
Copyright (c) 2020 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Meta.Check
import Lean.Meta.Match.MatcherInfo
import Lean.Meta.Match.CaseArraySizes
namespace Lean.Meta.Match
inductive Pattern : Type where
... |
bd9755627eccded1fe329e6aab092acca902650c | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/Lean/ProjFns.lean | e48f028e0c2a79cfe8f2cb27fcc6d40ee888be5c | [
"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 | 2,477 | 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.Environment
namespace Lean
/--
Given a structure `S`, Lean automatically creates an auxiliary definition (projection function)
for each field.... |
21e88fe4118112f3e46125a67710f855aa77a050 | ae1e94c332e17c7dc7051ce976d5a9eebe7ab8a5 | /stage0/src/Init/Control/Except.lean | 53dba7e2098cb32e41a56b6026a9a3dbff2374e0 | [
"Apache-2.0"
] | permissive | dupuisf/lean4 | d082d13b01243e1de29ae680eefb476961221eef | 6a39c65bd28eb0e28c3870188f348c8914502718 | refs/heads/master | 1,676,948,755,391 | 1,610,665,114,000 | 1,610,665,114,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 6,140 | lean | /-
Copyright (c) 2017 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jared Roesch, Sebastian Ullrich
The Except monad transformer.
-/
prelude
import Init.Control.Basic
import Init.Control.Id
universes u v w u'
namespace Except
variables {ε : T... |
0fd3a6f0f082b2db2cec4862370727c530f42ce0 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/algebra/ring/comp_typeclasses.lean | 2a10e273aa4ffa674547ed4e477d2cbd760abaf8 | [
"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 | 6,479 | lean | /-
Copyright (c) 2021 Frédéric Dupuis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Frédéric Dupuis, Heather Macbeth
-/
import algebra.ring.basic
import data.equiv.ring
/-!
# Propositional typeclasses on several ring homs
This file contains three typeclasses used ... |
a67e0bc2762bb3f79182f9eb7e8637c6f547f043 | 5749d8999a76f3a8fddceca1f6941981e33aaa96 | /src/analysis/calculus/local_extr.lean | fc241387dfe4ead06b131ad4bcdb5f97a63e2b90 | [
"Apache-2.0"
] | permissive | jdsalchow/mathlib | 13ab43ef0d0515a17e550b16d09bd14b76125276 | 497e692b946d93906900bb33a51fd243e7649406 | refs/heads/master | 1,585,819,143,348 | 1,580,072,892,000 | 1,580,072,892,000 | 154,287,128 | 0 | 0 | Apache-2.0 | 1,540,281,610,000 | 1,540,281,609,000 | null | UTF-8 | Lean | false | false | 14,713 | lean | /-
Copyright (c) 2019 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov
-/
import topology.local_extr analysis.calculus.deriv
/-! # Local extrema of smooth functions
## Main definitions
In a real normed space `E` we define `pos_tangent... |
a7d44fae1b39ef7d899d6b075fef3adfdd706d6d | 8b9f17008684d796c8022dab552e42f0cb6fb347 | /tests/lean/run/vector_subterm_pred.lean | 85c305118e6687a9dbfc1b9aa6b5e5074b9c3b37 | [
"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 | 2,762 | lean | import logic data.nat.basic data.sigma
open nat eq.ops sigma
inductive vector (A : Type) : nat → Type :=
| nil : vector A zero
| cons : A → (Π{n}, vector A n → vector A (succ n))
namespace vector
definition vec (A : Type) : Type := Σ n : nat, vector A n
definition to_vec {A : Type} {n : nat} (v : vector A n) : vec... |
f2297a2e9c862557085cb49e8e33ca4ed61cb6fd | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/category_theory/monoidal/functorial.lean | 5e6bdb8f7225299b7a8ff52734203415a0c29f45 | [
"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 | 3,792 | 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.monoidal.functor
import category_theory.functor.functorial
/-!
# Unbundled lax monoidal functors
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
>... |
1ba761301add6422c1443e91cae45160bfdc9682 | c777c32c8e484e195053731103c5e52af26a25d1 | /src/analysis/normed_space/star/gelfand_duality.lean | 236d6b2b7c563c300f0e1cdcb9a786c025d2c71f | [
"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 | 10,975 | lean | /-
Copyright (c) 2022 Jireh Loreaux. All rights reserved.
Reeased under Apache 2.0 license as described in the file LICENSE.
Authors: Jireh Loreaux
-/
import analysis.normed_space.star.spectrum
import analysis.normed.group.quotient
import analysis.normed_space.algebra
import topology.continuous_function.units
import to... |
55f95de187692eb015b25f2e60ff63dff9bf39cf | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/linear_algebra/quadratic_form/basic.lean | a934839a9de37034f9aac7f04d3bbe4814d8e0b9 | [
"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 | 36,146 | lean | /-
Copyright (c) 2020 Anne Baanen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Anne Baanen, Kexing Ying, Eric Wieser
-/
import algebra.invertible
import linear_algebra.matrix.determinant
import linear_algebra.matrix.bilinear_form
import linear_algebra.matrix.symmet... |
94e1c178ec66339c0c90f88e505681021bcaa6b7 | 6dc0c8ce7a76229dd81e73ed4474f15f88a9e294 | /src/Init/Data/Hashable.lean | 5fd1d9ce5a4d382887c54b2b0425cc606e7c5f00 | [
"Apache-2.0"
] | permissive | williamdemeo/lean4 | 72161c58fe65c3ad955d6a3050bb7d37c04c0d54 | 6d00fcf1d6d873e195f9220c668ef9c58e9c4a35 | refs/heads/master | 1,678,305,356,877 | 1,614,708,995,000 | 1,614,708,995,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 968 | lean | /-
Copyright (c) 2016 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
prelude
import Init.Data.UInt
import Init.Data.String
universes u
instance : Hashable Nat where
hash n := USize.ofNat n
instance [Hashable α] [Hashable ... |
48df1cfae1b818c6949b03de7a49e633d4458ee4 | 5ae26df177f810c5006841e9c73dc56e01b978d7 | /src/tactic/explode.lean | 796f2253e902b559c0672b6699154086bf26fbb8 | [
"Apache-2.0"
] | permissive | ChrisHughes24/mathlib | 98322577c460bc6b1fe5c21f42ce33ad1c3e5558 | a2a867e827c2a6702beb9efc2b9282bd801d5f9a | refs/heads/master | 1,583,848,251,477 | 1,565,164,247,000 | 1,565,164,247,000 | 129,409,993 | 0 | 1 | Apache-2.0 | 1,565,164,817,000 | 1,523,628,059,000 | Lean | UTF-8 | Lean | false | false | 5,252 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Mario Carneiro
Displays a proof term in a line by line format somewhat akin to a Fitch style
proof or the Metamath proof style.
-/
import tactic.core meta.coinductive_predicates
open e... |
383817cf038f2c575d7bf9cf9c870e4aaee4dc3b | 69d4931b605e11ca61881fc4f66db50a0a875e39 | /src/algebra/module/projective.lean | 07fc4e721977b5755fcb963c47f6e6c532cbdcc6 | [
"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 | 6,463 | lean | /-
Copyright (c) 2021 Kevin Buzzard. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kevin Buzzard
-/
import algebra.module.basic
import linear_algebra.finsupp
import linear_algebra.basis
/-!
# Projective modules
This file contains a definition of a projective modul... |
0a5cb7efc9ab74e9c6f8c08530c410e6fdbcf8b6 | 6b02ce66658141f3e0aa3dfa88cd30bbbb24d17b | /stage0/src/Lean/Elab/Frontend.lean | cebd5772c6099b7df68742e82b28f93da549b676 | [
"Apache-2.0"
] | permissive | pbrinkmeier/lean4 | d31991fd64095e64490cb7157bcc6803f9c48af4 | 32fd82efc2eaf1232299e930ec16624b370eac39 | refs/heads/master | 1,681,364,001,662 | 1,618,425,427,000 | 1,618,425,427,000 | 358,314,562 | 0 | 0 | Apache-2.0 | 1,618,504,558,000 | 1,618,501,999,000 | null | UTF-8 | Lean | false | false | 4,774 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura, Sebastian Ullrich
-/
import Lean.Elab.Import
import Lean.Elab.Command
import Lean.Util.Profile
namespace Lean.Elab.Frontend
structure State where
commandS... |
874422cdb078b83eadf327471ea6a853b7787db0 | 1446f520c1db37e157b631385707cc28a17a595e | /stage0/src/Init/Lean/Eval.lean | a58779b2d884e12ee32c2da9733eb47591fa0580 | [
"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 | 1,045 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura, Sebastian Ullrich
-/
prelude
import Init.Control.Reader
import Init.System.IO
import Init.Lean.Environment
namespace Lean
universe u
/-- `HasEval` extensio... |
4f1ea4581fe4a287e9a1fa68842f8e744e40fdd3 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/tactic/clear.lean | 60b4ea89de570332f4489b0491967582865fe888 | [
"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 | 3,483 | lean | /-
Copyright (c) 2020 Jannis Limperg. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jannis Limperg
-/
import tactic.core
/-!
# Better `clear` tactics
We define two variants of the standard `clear` tactic:
* `clear'` works like `clear` but the hypotheses that should... |
20ff694822af41fb7cc51cb6a9d5a32ef0f07a55 | 94ec458bb9c7783744397f9a68d867bd7a765e18 | /src/yoneda.lean | a6bd1a78d4c0b0bd57acc17ad284f5826ec45fc4 | [] | no_license | myuon/lean-cate | b8fcfd7965a348155152b3fc7d5041b356721945 | 9e71e61c2a09d64b17ab3145ff6dde564387950a | refs/heads/master | 1,611,236,436,038 | 1,462,408,916,000 | 1,462,408,916,000 | 47,414,605 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,167 | lean | import category
open category functor natrans
open eq eq.ops
definition homfunctor (C : category) (r : @obj C) : functor C Setoids :=
functor.mk
(λx, setoido.mk (@hom C r x) (λf g, f = g)
(mk_equivalence _ refl (λx y, symm) (λx y z, trans)))
(λa b f, setoido_map.mk (λk, f ∘[C] k) (λx y xy, xy ▸ rfl))
... |
282c68fccebad13928b5ab327da214bcab10f18b | 80cc5bf14c8ea85ff340d1d747a127dcadeb966f | /src/ring_theory/noetherian.lean | eee14434753bc874bc29bb98654ecf287c90f529 | [
"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 | 21,393 | lean | /-
Copyright (c) 2018 Mario Carneiro and Kevin Buzzard. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Kevin Buzzard
-/
import ring_theory.ideal.operations
import linear_algebra.basis
import order.order_iso_nat
/-!
# Noetherian rings and modules
The f... |
a388fe3dbb4a14fe10360ad3e136220b94a88836 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/linear_algebra/bilinear_map.lean | bf1939354b150a89fafbb65e4f066965d649c709 | [
"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 | 7,690 | 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 linear_algebra.basic
/-!
# Basics on bilinear maps
This file provides basics on bilinear maps.
## Main declarations
* `linear_map.mk₂`: a constructo... |
3240b2c38bc10cda45c4f3196965e2d9ece2f5bd | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/compiler/initUnboxed.lean | bfa03340587d782af1e8bf420ede3aff73c9a175 | [
"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 | 309 | lean | initialize test : UInt64 ← pure 0
initialize testb : Bool ← pure false
initialize testu : USize ← pure 1
initialize testf : Float ← pure 0.5
initialize test32 : UInt32 ← pure 16
def main : IO Unit := do
IO.println test
IO.println testb
IO.println testu
IO.println testf
IO.println test32
|
b52efb3501db4559916c7106f0d6e42faf04f336 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/algebra/continued_fractions/computation/correctness_terminating.lean | 7f976b1e1d255100fc517c1cf11400df29be1065 | [
"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 | 12,418 | lean | /-
Copyright (c) 2020 Kevin Kappelmann. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kevin Kappelmann
-/
import algebra.continued_fractions.computation.translations
import algebra.continued_fractions.terminated_stable
import algebra.continued_fractions.continuants_re... |
fbe71c445748de0586ea61ecb13500fb4686ffc8 | 07c6143268cfb72beccd1cc35735d424ebcb187b | /src/data/set/function.lean | 11f446e6fd841e210bae628bdf3a6c6c2fc920c9 | [
"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 | 18,225 | lean | /-
Copyright (c) 2014 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Jeremy Avigad, Andrew Zipperer, Haitao Zhang, Minchao Wu, Yury Kudryashov
-/
import data.set.basic logic.function
/-! # Functions over sets
## Main definitions
### Predicate
* `eq_on... |
9d87d6fa88d4c94a26732dd17baaad8ef8c78eee | fe84e287c662151bb313504482b218a503b972f3 | /src/undergraduate/MAS114/closest_integer.lean | f506b78c19535164aa91ddd66e2792fb6d6811e0 | [] | no_license | NeilStrickland/lean_lib | 91e163f514b829c42fe75636407138b5c75cba83 | 6a9563de93748ace509d9db4302db6cd77d8f92c | refs/heads/master | 1,653,408,198,261 | 1,652,996,419,000 | 1,652,996,419,000 | 181,006,067 | 4 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 3,893 | lean | import data.rat
import data.real.basic
import tactic.ring
lemma abs_neg_of_pos {α : Type*} [linear_ordered_add_comm_group α] (a : α) :
a > 0 → abs (- a) = a :=
λ a_pos, (abs_of_neg (neg_neg_of_pos a_pos)).trans (neg_neg a)
def half_Q : ℚ := 1 / 2
def neg_half_Q : ℚ := - half_Q
lemma dist_neg_Q (n : ℤ) (h : n ≥ 0... |
429f90e5abae45f7d53f213e9fb178b85563b2be | 4727251e0cd73359b15b664c3170e5d754078599 | /src/category_theory/adjunction/reflective.lean | 67ce6368ea73d684b22a7b4d95ff23d0c244585d | [
"Apache-2.0"
] | permissive | Vierkantor/mathlib | 0ea59ac32a3a43c93c44d70f441c4ee810ccceca | 83bc3b9ce9b13910b57bda6b56222495ebd31c2f | refs/heads/master | 1,658,323,012,449 | 1,652,256,003,000 | 1,652,256,003,000 | 209,296,341 | 0 | 1 | Apache-2.0 | 1,568,807,655,000 | 1,568,807,655,000 | null | UTF-8 | Lean | false | false | 7,850 | 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.adjunction.fully_faithful
import category_theory.functor.reflects_isomorphisms
import category_theory.epi_mono
/-!
# Reflective functors
Basic pr... |
3de4be17d40681dad79f8b1957c7d992681a5cad | 367134ba5a65885e863bdc4507601606690974c1 | /src/algebra/group/units.lean | 2a43a5e00b87ee46e76200e4cef12b60fc1d0563 | [
"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 | 13,016 | lean | /-
Copyright (c) 2017 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau, Mario Carneiro, Johannes Hölzl, Chris Hughes, Jens Wagemaker
-/
import algebra.group.basic
import logic.nontrivial
/-!
# Units (i.e., invertible elements) of a multiplicative mo... |
ef7a5eea695c997bfd1351e95909bf44e968a11b | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/ring_theory/discriminant.lean | 8e5e05041555aff7be788738aa6faaab63ba984b | [
"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 | 16,455 | lean | /-
Copyright (c) 2021 Riccardo Brasca. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Riccardo Brasca
-/
import ring_theory.trace
import ring_theory.norm
import number_theory.number_field
/-!
# Discriminant of a family of vectors
Given an `A`-algebra `B` and `b`, an... |
025b6456f1c7481786e72b96570ed2ed3cc82bba | 6772a11d96d69b3f90d6eeaf7f9accddf2a7691d | /examples/monoids.lean | 684ee647714688f73f4d52c391b7cca269329341 | [] | no_license | lbordowitz/lean-category-theory | 5397361f0f81037d65762da48de2c16ec85a5e4b | 8c59893e44af3804eba4dbc5f7fa5928ed2e0ae6 | refs/heads/master | 1,611,310,752,156 | 1,487,070,172,000 | 1,487,070,172,000 | 82,003,141 | 0 | 0 | null | 1,487,118,553,000 | 1,487,118,553,000 | null | UTF-8 | Lean | false | false | 2,709 | 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 ..category
import ..functor
import .semigroups
namespace tqft.categories.examples.monoids
open tqft.categories
set_option pp.universes t... |
3d1d641805f654bebf287450e7eb4a6edd2ad358 | fecda8e6b848337561d6467a1e30cf23176d6ad0 | /src/logic/nontrivial.lean | 34ad9d5231608f81b7a47948becc11d72262af4b | [
"Apache-2.0"
] | permissive | spolu/mathlib | bacf18c3d2a561d00ecdc9413187729dd1f705ed | 480c92cdfe1cf3c2d083abded87e82162e8814f4 | refs/heads/master | 1,671,684,094,325 | 1,600,736,045,000 | 1,600,736,045,000 | 297,564,749 | 1 | 0 | null | 1,600,758,368,000 | 1,600,758,367,000 | null | UTF-8 | Lean | false | false | 4,422 | lean | /-
Copyright (c) 2020 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import logic.unique
import logic.function.basic
/-!
# Nontrivial types
A type is *nontrivial* if it contains at least two elements. This is useful in particul... |
850d73ae7e0644d618a910d633bfbf7881a893d4 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/algebra/group/pi.lean | 0a7cf960e5fee11709a228b8b6c78f0c064b7df6 | [] | no_license | AurelienSaue/Mathlib4_auto | f538cfd0980f65a6361eadea39e6fc639e9dae14 | 590df64109b08190abe22358fabc3eae000943f2 | refs/heads/master | 1,683,906,849,776 | 1,622,564,669,000 | 1,622,564,669,000 | 371,723,747 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,548 | lean | /-
Copyright (c) 2018 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon, Patrick Massot
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.data.pi
import Mathlib.tactic.pi_instances
import Mathlib.algebra.group.defs
impo... |
22130117f5cbc11da23a8ff9baf7be37fefef17d | 32025d5c2d6e33ad3b6dd8a3c91e1e838066a7f7 | /tests/lean/run/CommandExtOverlap.lean | 551984dfe507f83eb26c4765b7fb2d96766e31bb | [
"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 | 333 | lean | new_frontend
syntax [mycheck] "#check" (sepBy term ",") : command
open Lean
macro_rules [mycheck]
| `(#check $es*) =>
let cmds := es.getSepElems.map $ fun e => Syntax.node `Lean.Parser.Command.check #[Syntax.atom {} "#check", e];
pure $ mkNullNode cmds
#check true
#check true, true
#check true, 1, 3, fun (x : N... |
f89884afc880d8c4a4ce4218247ff1fb804428a3 | 3f7026ea8bef0825ca0339a275c03b911baef64d | /src/algebra/group/to_additive.lean | 976736af71778e3fe573f249a628270dd1e3dfce | [
"Apache-2.0"
] | permissive | rspencer01/mathlib | b1e3afa5c121362ef0881012cc116513ab09f18c | c7d36292c6b9234dc40143c16288932ae38fdc12 | refs/heads/master | 1,595,010,346,708 | 1,567,511,503,000 | 1,567,511,503,000 | 206,071,681 | 0 | 0 | Apache-2.0 | 1,567,513,643,000 | 1,567,513,643,000 | null | UTF-8 | Lean | false | false | 9,737 | lean | /-
Copyright (c) 2017 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Yury Kudryashov.
-/
import tactic.basic tactic.transport tactic.algebra
/-!
# Transport multiplicative to additive
This file defines an attribute `to_additive` that ... |
c0024f1b1e57a91bb3dc3aafca12e9690ef97d79 | 82e44445c70db0f03e30d7be725775f122d72f3e | /src/analysis/convex/caratheodory.lean | 3c377980e20b38a5d2b57f90110fda6c6c5859ac | [
"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 | 8,872 | lean | /-
Copyright (c) 2020 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin, Scott Morrison
-/
import analysis.convex.basic
/-!
# Carathéodory's convexity theorem
This file is devoted to proving Carathéodory's convexity theorem:
The convex hul... |
e6f0a9ae70401f45751b308788c01fde622661ab | 82b86ba2ae0d5aed0f01f49c46db5afec0eb2bd7 | /src/Lean/Elab/MutualDef.lean | b8f401223f91227472891c0a149f7fa7b0a6eb1a | [
"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 | 26,324 | lean | /-
Copyright (c) 2020 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Meta.Closure
import Lean.Meta.Check
import Lean.Elab.Command
import Lean.Elab.DefView
import Lean.Elab.PreDefinition
namespace Lean.Elab
/- De... |
95b67eb0578ba2f4d1cdc4f3e74a36d05115990e | bbecf0f1968d1fba4124103e4f6b55251d08e9c4 | /src/data/finset/basic.lean | 972364ef82459614461f8534c710b60ccd12f0d9 | [
"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 | 131,282 | lean | /-
Copyright (c) 2015 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura, Jeremy Avigad, Minchao Wu, Mario Carneiro
-/
import data.multiset.finset_ops
import tactic.apply
import tactic.monotonicity
import tactic.nth_rewrite
/-!
# F... |
07fb4ee90ea1bd17e7b27e592c56f8b2ae19572d | 94e33a31faa76775069b071adea97e86e218a8ee | /src/combinatorics/simple_graph/coloring.lean | a4a1289fd61b2541dba61bf15045e12dd7dbd6eb | [
"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 | 15,530 | lean | /-
Copyright (c) 2021 Arthur Paulino. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Arthur Paulino, Kyle Miller
-/
import combinatorics.simple_graph.subgraph
import combinatorics.simple_graph.clique
import data.nat.lattice
import data.setoid.partition
import order.an... |
2f701db2d329cecd70872ec8808163e58f504ec8 | e00ea76a720126cf9f6d732ad6216b5b824d20a7 | /src/tactic/rename.lean | 158951aaa476a89f61f58caed872d5a98dffd33a | [
"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 | 4,284 | lean | /-
Copyright (c) 2020 Jannis Limperg. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Jannis Limperg
-/
import tactic.core
/-!
# Better `rename` tactic
This module defines a variant of the standard `rename` tactic, with the
following improvements:
* You can rename mu... |
598c08ebbd27039f3b22e9b35f9374172dbc1fd2 | df561f413cfe0a88b1056655515399c546ff32a5 | /4-proposition-world/l8.lean | 34f1f48590ef8bd0b24be9ca70ee1d52ff7ba0ce | [] | no_license | nicholaspun/natural-number-game-solutions | 31d5158415c6f582694680044c5c6469032c2a06 | 1e2aed86d2e76a3f4a275c6d99e795ad30cf6df0 | refs/heads/main | 1,675,123,625,012 | 1,607,633,548,000 | 1,607,633,548,000 | 318,933,860 | 3 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 143 | lean | lemma contrapositive (P Q : Prop) : (P → Q) → (¬ Q → ¬ P) :=
begin
repeat {rw not_iff_imp_false},
intros f g p,
apply g,
exact f p,
end |
0275fbd463068f2222960b2d03bb56dfaf6ed813 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/269.lean | e4cf1999df1a606586ccb80cc22d96ab5737a943 | [
"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 | 320 | lean | theorem haveWithSubgoals {a b : α} : a = b ↔ b = a := by
apply Iff.intro
intro h
have h' := h.symm
exact h'
intro h
exact h.symm
theorem haveWithSubgoals2 {a b : α} : a = b ↔ b = a := by {
apply Iff.intro;
intro h;
have h' := h.symm;
exact h';
intro h; exact h.symm;
}
|
867077eeb64fc0b946d2cf6c325ea3ad9873fc3e | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/tactic/where.lean | 30ac9bcafbff72d3459f326fbc9a8e58ecf04bc2 | [] | 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 | 3,095 | lean | /-
Copyright (c) 2019 Keeley Hoek. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Keeley Hoek
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.tactic.core
import Mathlib.PostPort
namespace Mathlib
/-!
# The `where` command
When working i... |
5ad154aa8b63a90d7767eb42b92a4ea6607b6133 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/shadow.lean | 0ce3d00fbff98200f43fef99be5376c282678d87 | [
"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 | 194 | lean | open nat
variable a : nat
-- The variable 'a' in the following definition is not the variable 'a' above
definition tadd : nat → nat → nat
| 0 b := b
| (succ a) b := succ (tadd a b)
|
4f33b5441cb2b79587d8119d10f63f6911016871 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/measure_theory/covering/besicovitch_vector_space.lean | 51ec7115bc341e051e3035fd27d1a06f53a32869 | [
"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 | 26,098 | lean | /-
Copyright (c) 2021 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import measure_theory.measure.haar_lebesgue
import measure_theory.covering.besicovitch
/-!
# Satellite configurations for Besicovitch covering lemma in vector... |
7b40a865864a78cfc809b5aab439d5ed8ab7cc29 | 38bf3fd2bb651ab70511408fcf70e2029e2ba310 | /src/data/nat/totient.lean | bd7a77991b16848d3f3f6ad3c3eff8f4c110acb4 | [
"Apache-2.0"
] | permissive | JaredCorduan/mathlib | 130392594844f15dad65a9308c242551bae6cd2e | d5de80376088954d592a59326c14404f538050a1 | refs/heads/master | 1,595,862,206,333 | 1,570,816,457,000 | 1,570,816,457,000 | 209,134,499 | 0 | 0 | Apache-2.0 | 1,568,746,811,000 | 1,568,746,811,000 | null | UTF-8 | Lean | false | false | 3,593 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes
-/
import algebra.big_operators data.nat.gcd
open finset
namespace nat
def totient (n : ℕ) : ℕ := ((range n).filter (nat.coprime n)).card
localized "notation `φ` := nat.... |
214e6ddded4f109a6bfdd2ad5b528e1d76fee3e4 | 27a31d06bcfc7c5d379fd04a08a9f5ed3f5302d4 | /tests/lean/interactive/hover.lean | 580c7cc8efa2c4b1db151beb19ee90e19e6bc5d2 | [
"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 | 2,581 | lean | import Lean
example : True := by
apply True.intro
--^ textDocument/hover
example : True := by
simp [True.intro]
--^ textDocument/hover
example (n : Nat) : True := by
match n with
| Nat.zero => _
--^ textDocument/hover
| n + 1 => _
/-- My tactic -/
macro "mytac" o:"only"? e:term : tactic => ... |
6281c69b1294c9947459910b0e538e707810994f | ea5678cc400c34ff95b661fa26d15024e27ea8cd | /rationalpowers.lean | 93b645da3b3ba4d4f870e16ad92b44c365007b15 | [] | 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 | 5,734 | lean |
-- let's define the real numbers to be a number system which satisfies
-- the basic properties of the real numbers which we will need.
noncomputable theory
constant real : Type
@[instance] constant real_field : linear_ordered_field real
-- This piece of magic means that "real" now behaves a lot like
-- the real num... |
3728e7031a08de15539ee608f0b42bea26baf47f | 827a8a5c2041b1d7f55e128581f583dfbd65ecf6 | /concat_fun.hlean | 936033aeb6a105d4e2dfa681e62989a46ab07b23 | [
"Apache-2.0"
] | permissive | fpvandoorn/leansnippets | 6af0499f6f3fd2c07e4b580734d77b67574e7c27 | 601bafbe07e9534af76f60994d6bdf741996ef93 | refs/heads/master | 1,590,063,910,882 | 1,545,093,878,000 | 1,545,093,878,000 | 36,044,957 | 2 | 2 | null | 1,442,619,708,000 | 1,432,256,875,000 | Lean | UTF-8 | Lean | false | false | 2,801 | hlean | open eq
definition concat₁ {A : Type} {a₁ a₂ a₃ : A} (p : a₁ = a₂) (q : a₂ = a₃) : a₁ = a₃ :=
by induction q; assumption
definition concat₂ {A : Type} {a₁ a₂ a₃ : A} (p : a₁ = a₂) (q : a₂ = a₃) : a₁ = a₃ :=
by induction p; assumption
definition concat₃ {A : Type} {a₁ a₂ a₃ : A} (p : a₁ = a₂) (q : a₂ = a₃) ... |
9c2dd2129d0518609bb21e35b1f0f0962564b2ba | 94e33a31faa76775069b071adea97e86e218a8ee | /src/ring_theory/polynomial/bernstein.lean | ecac38edff1b240a328f74ce3c45b61ae174581d | [
"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 | 15,845 | 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 data.polynomial.derivative
import data.nat.choose.sum
import ring_theory.polynomial.pochhammer
import data.polynomial.algebra_map
import linear_algebra.linear_... |
a58a18a18bdd2fd9e3a9a636572be45321db6fdb | aa101d73b1a3173c7ec56de02b96baa8ca64c42e | /src/solutions/01_equality_rewriting.lean | 30d7678564132454da2115c66a64594d1410bf0b | [
"Apache-2.0"
] | permissive | gihanmarasingha/tutorials | b554d4d53866c493c4341dc13e914b01444e95a6 | 56617114ef0f9f7b808476faffd11e22e4380918 | refs/heads/master | 1,671,141,758,153 | 1,599,173,318,000 | 1,599,173,318,000 | 282,405,870 | 0 | 0 | Apache-2.0 | 1,595,666,751,000 | 1,595,666,750,000 | null | UTF-8 | Lean | false | false | 5,602 | lean | import data.real.basic
/-
One of the earliest kind of proofs one encounters while learning mathematics is proving by
a calculation. It may not sound like a proof, but this is actually using lemmas expressing
properties of operations on numbers. It also uses the fundamental property of equality: if two
mathematical ob... |
eee2669a006afdfa9f89dba276f642d317b743fb | e00ea76a720126cf9f6d732ad6216b5b824d20a7 | /src/tactic/lint.lean | f83a2533ae998f5c6e193eb485f9d437f4126f80 | [
"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 | 46,843 | 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, Robert Y. Lewis
-/
import tactic.core
/-!
# lint commands
This file defines the following user commands to spot common mistakes in the code.
* `#lint`: check all d... |
f335ad0a97b1baeba292554376812db1743e0509 | fef48cac17c73db8662678da38fd75888db97560 | /src/mathlib_someday.lean | 7d5bafb41f9309b0c0ec20e99c231537baef7aab | [] | no_license | kbuzzard/lean-squares-in-fibonacci | 6c0d924f799d6751e19798bb2530ee602ec7087e | 8cea20e5ce88ab7d17b020932d84d316532a84a8 | refs/heads/master | 1,584,524,504,815 | 1,582,387,156,000 | 1,582,387,156,000 | 134,576,655 | 3 | 1 | null | 1,541,538,497,000 | 1,527,083,406,000 | Lean | UTF-8 | Lean | false | false | 2,034 | lean | import algebra.group_power
import data.nat.gcd
import data.nat.modeq
import number_theory.pell
attribute [elab_as_eliminator] nat.strong_induction_on
attribute [refl] dvd_refl
attribute [trans] dvd_trans
attribute [symm] nat.coprime.symm
open nat
lemma nat.gcd_add_mul_left (a b n : ℕ) : gcd (a + b * n) b = gcd a b ... |
ce3c303045e23e539ef547f15ec4468c65e3e6a8 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/algebra/polynomial/big_operators.lean | 27bbec5a49037ed63c16ad4a5b426c5fe416595c | [
"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 | 13,364 | 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 algebra.order.with_zero
import data.polynomial.monic
/-!
# Lemmas for the interaction between polynomials and `∑` and `∏`.
> THIS FILE IS SYNCHRO... |
d8618f7131e769f2029f7f9d4f6741689620184c | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/geometry/euclidean/angle/oriented/rotation.lean | 8ca7a0bcff9401ef219bb29649cabd8a5956c043 | [
"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 | 20,847 | lean | /-
Copyright (c) 2022 Joseph Myers. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Myers, Heather Macbeth
-/
import analysis.special_functions.complex.circle
import geometry.euclidean.angle.oriented.basic
/-!
# Rotations by oriented angles.
> THIS FILE IS SYNC... |
94e1ebe3a7c69718df21d8b7c9926580ba59b509 | a45212b1526d532e6e83c44ddca6a05795113ddc | /src/order/filter/partial.lean | cfacfae4517eeeb5f63eddc87e657e809becbb14 | [
"Apache-2.0"
] | permissive | fpvandoorn/mathlib | b21ab4068db079cbb8590b58fda9cc4bc1f35df4 | b3433a51ea8bc07c4159c1073838fc0ee9b8f227 | refs/heads/master | 1,624,791,089,608 | 1,556,715,231,000 | 1,556,715,231,000 | 165,722,980 | 5 | 0 | Apache-2.0 | 1,552,657,455,000 | 1,547,494,646,000 | Lean | UTF-8 | Lean | false | false | 8,437 | lean | /-
Copyright (c) 2019 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad
Extends `tendsto` to relations and partial functions.
-/
import .basic
universes u v w
namespace filter
variables {α : Type u} {β : Type v} {γ : Type w}
/-
Relations.
-... |
aedfb4c049eac89d7a3f3376bd2d3e3816a54f69 | 947fa6c38e48771ae886239b4edce6db6e18d0fb | /src/linear_algebra/dimension.lean | 551ad63201b6ac0c7fc49f990c3b320f63dc961b | [
"Apache-2.0"
] | permissive | ramonfmir/mathlib | c5dc8b33155473fab97c38bd3aa6723dc289beaa | 14c52e990c17f5a00c0cc9e09847af16fabbed25 | refs/heads/master | 1,661,979,343,526 | 1,660,830,384,000 | 1,660,830,384,000 | 182,072,989 | 0 | 0 | null | 1,555,585,876,000 | 1,555,585,876,000 | null | UTF-8 | Lean | false | false | 53,500 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Johannes Hölzl, Sander Dahmen, Scott Morrison
-/
import linear_algebra.dfinsupp
import linear_algebra.invariant_basis_number
import linear_algebra.isomorphisms
import l... |
c6162d6f14b0bdf39de33e9eaa9daa06ba69f1b9 | 367134ba5a65885e863bdc4507601606690974c1 | /src/ring_theory/flat.lean | 6cd8b28961f26e94ffcaf890449273b14bc66c80 | [
"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 | 2,638 | 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 linear_algebra.dimension
import ring_theory.noetherian
import ring_theory.algebra_tower
/-!
# Flat modules
A module `M` over a commutative ring `R` is *flat... |
c50d8037d1575b6c2efa2aedecbbf7f50df42350 | 0845ae2ca02071debcfd4ac24be871236c01784f | /tests/lean/run/coroutine.lean | fabd2fca3e6d57df18259036d8460ba9de227433 | [
"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 | 7,515 | lean | universes u v w r s
inductive coroutineResultCore (coroutine : Type (max u v w)) (α : Type u) (δ : Type v) (β : Type w) : Type (max u v w)
| done {} : β → coroutineResultCore
| yielded {} : δ → coroutine → coroutineResultCore
/--
Asymmetric coroutines `coroutine α δ β` takes inputs of Type `α`, yields element... |
bc13f4503bfea5ddddeae02e3d75fba8431d7e5b | 55c7fc2bf55d496ace18cd6f3376e12bb14c8cc5 | /src/data/option/basic.lean | 05ce14a3248184eb1dd0c5acf2dc60e73836bbc4 | [
"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 | 7,418 | 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 tactic.basic
namespace option
variables {α : Type*} {β : Type*} {γ : Type*}
lemma some_ne_none (x : α) : some x ≠ none := λ h, option.no_confusion h
@[simp]... |
9ad896f456b709819e953b9ee6fd7a084c5417df | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/ring_theory/mv_polynomial/tower.lean | ddfee025e79096a0cd6eff3bf48f80c0b44912ad | [
"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 | 2,569 | lean | /-
Copyright (c) 2022 Yuyang Zhao. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yuyang Zhao
-/
import algebra.algebra.tower
import data.mv_polynomial.basic
/-!
# Algebra towers for multivariate polynomial
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to... |
04c7dd30463caba876c18827fe27162ab8867111 | 957a80ea22c5abb4f4670b250d55534d9db99108 | /tests/lean/elab8.lean | bd447c76a56beca63a05ca40a076b78170fe724b | [
"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 | 379 | lean | set_option pp.notation false
set_option pp.implicit true
set_option pp.numerals false
set_option pp.binder_types true
#check λ (A : Type*) [has_add A] [has_one A] [has_lt A] (a : A), a + 1
#check λ (A : Type*) [has_add A] [has_one A] [has_lt A] (a : A) (H : a > 1), a + 1
#check λ (A : Type*) [has_add A] [has_one A] ... |
038cf6421c82e46695d404e59c850d55a7fcab17 | 7cef822f3b952965621309e88eadf618da0c8ae9 | /src/category_theory/monad/types.lean | c7063af322bb075ad9d65889f5bdca0bf59e2232 | [
"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 | 956 | lean | /-
Copyright (c) 2019 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
-/
import category_theory.monad.basic
import category_theory.types
/-!
# Convert from `monad` (i.e. Lean's `Type`-based monads) to `category_theory.monad`
This allow... |
1d099c2cb89b57aa0dd80a7596756cd9be9002ec | d1bbf1801b3dcb214451d48214589f511061da63 | /src/data/zsqrtd/gaussian_int.lean | 6a42e6909c7e7ee2f4882efc613f9f730e13cf59 | [
"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 | 12,726 | 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 data.zsqrtd.basic
import data.complex.basic
import ring_theory.principal_ideal_domain
import number_theory.quadratic_reciprocity
/-!
# Gaussian integers
The Gaussi... |
c6ca478911d0858c5d7516f7f20909a83f759a09 | e9dbaaae490bc072444e3021634bf73664003760 | /src/Problems/2015/IMO_2015_P3.lean | f7ae0e45b2f4ffc320ae7f522b0386e6a85b1bf2 | [
"Apache-2.0"
] | permissive | liaofei1128/geometry | 566d8bfe095ce0c0113d36df90635306c60e975b | 3dd128e4eec8008764bb94e18b932f9ffd66e6b3 | refs/heads/master | 1,678,996,510,399 | 1,581,454,543,000 | 1,583,337,839,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 765 | lean | import Geo.Geo.Core
namespace Geo
open Triangle
def IMO_2015_P3 : Prop :=
∀ (A B C : Point),
acute ⟨A, B, C⟩ →
ulen (Seg.mk A B) > ulen (Seg.mk A C) →
let Γ := Triangle.circumcircle ⟨A, B, C⟩;
let H := orthocenter ⟨A, B, C⟩;
let F := (altitudes ⟨A, B, C⟩).A.dst; -- is the same as foot A ⟨B, C⟩
let M := (Seg.mk B C).... |
bbe7b404472ffcf19ec757cc2c99c05d2b996664 | c8af905dcd8475f414868d303b2eb0e9d3eb32f9 | /src/data/cpi/semantics/ode.lean | 157b7c259ba49671f40b250d650713b198b15f2d | [
"BSD-3-Clause"
] | permissive | continuouspi/lean-cpi | 81480a13842d67ff5f3698643210d8ed5dd08de4 | 443bf2cb236feadc45a01387099c236ab2b78237 | refs/heads/master | 1,650,307,316,582 | 1,587,033,364,000 | 1,587,033,364,000 | 207,499,661 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,353 | lean | import data.cpi.semantics.basic data.fin_poly
namespace cpi
variables {ℍ : Type} {ω : context} [half_ring ℍ] [cpi_equiv_prop ℍ ω] [decidable_eq ℍ]
/-- All species which may occur within the transition graph of a process.
As the transition graph may be infinite, we visit the graph with a finite
amount of gas... |
60d9bb29dde7d1b84f6a9ff94e6e0fc2af396cd8 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/algebra/lie/subalgebra.lean | 5dfce2b1c28945d70933fe7bba92d38873f2e18a | [
"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 | 23,020 | lean | /-
Copyright (c) 2021 Oliver Nash. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Oliver Nash
-/
import algebra.lie.basic
import ring_theory.noetherian
/-!
# Lie subalgebras
This file defines Lie subalgebras of a Lie algebra and provides basic related definitions and... |
02bcbfd217f6eb6ddecd1d9406cb8d15a86db5f6 | 80cc5bf14c8ea85ff340d1d747a127dcadeb966f | /src/data/matrix/pequiv.lean | ae8f37cc24fb02e82e0e1e7b4fe8087ab72fb589 | [
"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 | 5,746 | 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 data.matrix.basic
import data.pequiv
/-
# partial equivalences for matrices
Using partial equivalences to represent matrices.
This file introduces the function `p... |
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