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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
788d33a1a9dbc2e9d8126022261408fb66d100f7 | e9dbaaae490bc072444e3021634bf73664003760 | /src/Problems/2008/IMO_2008_P1.lean | 25092b15d9d1e9908380f7b1146242d90a73f8a7 | [
"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 | 494 | lean | import Geo.Geo.Core
namespace Geo
open Triangle
def IMO_2008_P1 : Prop :=
∀ (A B C : Point),
acute ⟨A, B, C⟩ →
let H := orthocenter ⟨A, B, C⟩;
∀ (A₁ A₂ B₁ B₂ C₁ C₂ : Point),
intersectAt₂ (Circle.buildOP (Seg.mk B C).midp H) (Line.mk B C) A₁ A₂ →
intersectAt₂ (Circle.buildOP (Seg.mk C A).midp H) (Line.mk C A) B₁ B₂ →... |
7098d508ef17b55e8c824b392c57697100cb94cf | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/analysis/bounded_variation.lean | 3deb1eb619731a5f4f6ff74ff37372e095bcf40a | [
"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 | 34,131 | lean | /-
Copyright (c) 2022 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import measure_theory.measure.lebesgue
import analysis.calculus.monotone
/-!
# Functions of bounded variation
We study functions of bounded variation. In part... |
b8a2c835eb556cf5dec5e800d4745d425974944f | 6dc0c8ce7a76229dd81e73ed4474f15f88a9e294 | /src/Lean/Declaration.lean | e9f0d5272cd56f4adf53e49e67eacd1075691e7a | [
"Apache-2.0"
] | permissive | williamdemeo/lean4 | 72161c58fe65c3ad955d6a3050bb7d37c04c0d54 | 6d00fcf1d6d873e195f9220c668ef9c58e9c4a35 | refs/heads/master | 1,678,305,356,877 | 1,614,708,995,000 | 1,614,708,995,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 14,094 | 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 ...)... |
c1b799a834025af8084f6f039c46ed5af26a6a93 | a4673261e60b025e2c8c825dfa4ab9108246c32e | /tests/lean/run/task_test_io.lean | f567c3308345dcb6d9bb466580c1b1ae835260d0 | [
"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 | 912 | lean | #lang lean4
#eval id (α := IO _) do
let t1 ← IO.asTask $ Nat.forM 10 fun _ => IO.println "hi";
let t2 ← IO.asTask $ Nat.forM 10 fun _ => IO.println "ho";
IO.ofExcept t1.get
#eval id (α := IO _) do
let t1 ← IO.mapTask IO.println (Task.spawn fun _ => "ha");
pure ()
#eval id (α := IO _) do
let t1 ← IO.bindTa... |
2659a3f42f565aed0f2187732ce6845d99d260d7 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /test/lint_coe_t.lean | 0a809d2f6e3509731d65f2c6f9172ab07374773d | [
"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 | 1,075 | lean | import tactic.lint
open tactic
-- bad, because every iteration of tc search will loop, generating nested quotients
section
local attribute [instance]
def a_to_quot {α} (R : setoid α) : has_coe α (quotient R) := ⟨quotient.mk⟩
run_cmd do
d ← get_decl ``a_to_quot,
some _ ← linter.has_coe_variable.test d,
d ← get_d... |
39f1567e89ade9b1300455bd740a34864527153c | 05f637fa14ac28031cb1ea92086a0f4eb23ff2b1 | /src/builtin/sum.lean | abfc2e50f58ecdf396f7c96d5ce55855bff331fe | [
"Apache-2.0"
] | permissive | codyroux/lean0.1 | 1ce92751d664aacff0529e139083304a7bbc8a71 | 0dc6fb974aa85ed6f305a2f4b10a53a44ee5f0ef | refs/heads/master | 1,610,830,535,062 | 1,402,150,480,000 | 1,402,150,480,000 | 19,588,851 | 2 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 7,035 | lean | -- Copyright (c) 2014 Microsoft Corporation. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Author: Leonardo de Moura
import macros subtype optional
using subtype
using optional
-- We are encoding the (sum A B) as a subtype of (optional A) # (optional B), where
-- (pr... |
662f5fec6c1009b5ca0c774ded18c15488803058 | 2eab05920d6eeb06665e1a6df77b3157354316ad | /src/dynamics/circle/rotation_number/translation_number.lean | 578ccef2af38496ccd8c20d663d31c351b66d7b5 | [
"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 | 39,650 | 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 algebra.iterate_hom
import analysis.specific_limits
import topology.algebra.ordered.monotone_continuity
import order.iterate
import order.semiconj_Sup
... |
fbb3e5e3efa683ff1639d5321f99e1dfd4aec1cb | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/Lean/Elab/Tactic/Calc.lean | a62cb28c3fac0fa38e308bdcba2ead3b8976c469 | [
"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 | 1,369 | lean | /-
Copyright (c) 2022 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Elab.Calc
import Lean.Elab.Tactic.ElabTerm
namespace Lean.Elab.Tactic
open Meta
/-- Elaborator for the `calc` tactic mode variant. -/
@[builti... |
5b15463f62e33461af87109dc2eeb0dd52744537 | 6dc0c8ce7a76229dd81e73ed4474f15f88a9e294 | /tests/lean/whnfProj.lean | 24699be17a4e0ac4a4f5f648062a375dea029064 | [
"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 | 527 | lean | import Lean
def h (x : Nat) := x
def f (x : Nat) := x + 1
def g (x : Nat) := (x, x+1).fst
open Lean
open Lean.Meta
def tst (declName : Name) : MetaM Unit := do
let c ← getConstInfo declName
lambdaTelescope c.value! fun _ b => do
trace[Meta.debug]! "1. {b}"
trace[Meta.debug]! "2. {← withReducible <| whnf... |
f6f391602dc428fe71ca455e45f0d579336a4ade | 4727251e0cd73359b15b664c3170e5d754078599 | /src/geometry/manifold/whitney_embedding.lean | fe0a799e38d9f6c3b6cb63c1c8b451337488ea78 | [
"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 | 6,327 | lean | /-
Copyright (c) 2021 Yury G. Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury G. Kudryashov
-/
import geometry.manifold.diffeomorph
import geometry.manifold.instances.real
import geometry.manifold.partition_of_unity
/-!
# Whitney embedding theorem
In ... |
c2663b8c5612b50edd386368ad40f346599077d3 | 02fbe05a45fda5abde7583464416db4366eedfbf | /library/init/logic.lean | 32d695768432a76a46bcfd062bbec7bb7a61d4ef | [
"Apache-2.0"
] | permissive | jasonrute/lean | cc12807e11f9ac6b01b8951a8bfb9c2eb35a0154 | 4be962c167ca442a0ec5e84472d7ff9f5302788f | refs/heads/master | 1,672,036,664,637 | 1,601,642,826,000 | 1,601,642,826,000 | 260,777,966 | 0 | 0 | Apache-2.0 | 1,588,454,819,000 | 1,588,454,818,000 | null | UTF-8 | Lean | false | false | 38,525 | lean | /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura, Jeremy Avigad, Floris van Doorn
-/
prelude
import init.core
universes u v w
@[simp] lemma opt_param_eq (α : Sort u) (default : α) : opt_param α default = α ... |
96c2b74f484edfbf9966f5c9a80cb58db3562218 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/tactic/solve_by_elim_auto.lean | 0dabf3936740bcce1fddf684e174f3f2492e7aa3 | [] | 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 | 9,497 | lean | /-
Copyright (c) 2018 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon, Scott Morrison
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.tactic.core
import Mathlib.PostPort
namespace Mathlib
/-!
# solve_by_elim
A de... |
1011db510e8131586c11b2bdf81e3b64b53b8c12 | 618003631150032a5676f229d13a079ac875ff77 | /src/tactic/omega/find_scalars.lean | aa1aa22653f7ebb12a0dcec09009ec2a3a1f1bd8 | [
"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 | 3,040 | lean | /- Copyright (c) 2019 Seul Baek. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Seul Baek
Tactic for performing Fourier–Motzkin elimination to find
a contradictory linear combination of input constraints. -/
import tactic.omega.term
import data.list.min_max
open list.... |
b093b8cdcc792890143549c4171e6b79811437de | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/ring_theory/polynomial/basic.lean | c708f8ce63163590ec2701c486d061b1ca657839 | [
"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 | 41,830 | 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.char_p.basic
import data.mv_polynomial.comm_ring
import data.mv_polynomial.equiv
import data.polynomial.field_division
import ring_theory.principal_ideal_domain... |
154b59e67bc8bf26b41b46d06dd2564955b42ee7 | 3dd1b66af77106badae6edb1c4dea91a146ead30 | /library/hott/prop.lean | 01e520b6d6480a761dbb20563e9f31f6ae8576cf | [
"Apache-2.0"
] | permissive | silky/lean | 79c20c15c93feef47bb659a2cc139b26f3614642 | df8b88dca2f8da1a422cb618cd476ef5be730546 | refs/heads/master | 1,610,737,587,697 | 1,406,574,534,000 | 1,406,574,534,000 | 22,362,176 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 311 | lean | -- Copyright (c) 2014 Microsoft Corporation. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Author: Leonardo de Moura
import logic
definition is_prop (A : Type) := Π (x y : A), x = y
inductive hprop : Type :=
| hprop_intro : Π (A : Type), is_prop A → hprop
|
f86fdda8c79d79426b4089573a49bd07ab850300 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/analysis/complex/liouville.lean | aa2b6a8ae40ebcdbc1b555bbe6fb2ee37ffe41f0 | [
"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 | 5,824 | lean | /-
Copyright (c) 2022 Yury G. Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury G. Kudryashov
-/
import analysis.complex.cauchy_integral
import analysis.calculus.fderiv_analytic
import analysis.normed_space.completion
/-!
# Liouville's theorem
> THIS FI... |
f8478499f48a0a679ad6584ebdcf9c6d075275e8 | 4efff1f47634ff19e2f786deadd394270a59ecd2 | /src/algebra/category/CommRing/colimits.lean | 1093af8707fa2c1d8ca09a0ca773cd1329ed3802 | [
"Apache-2.0"
] | permissive | agjftucker/mathlib | d634cd0d5256b6325e3c55bb7fb2403548371707 | 87fe50de17b00af533f72a102d0adefe4a2285e8 | refs/heads/master | 1,625,378,131,941 | 1,599,166,526,000 | 1,599,166,526,000 | 160,748,509 | 0 | 0 | Apache-2.0 | 1,544,141,789,000 | 1,544,141,789,000 | null | UTF-8 | Lean | false | false | 12,766 | 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 algebra.category.CommRing.basic
import category_theory.limits.limits
import category_theory.limits.concrete_category
/-!
# The category of commutative rings h... |
6f699769e42ca9739daf5ac1812dcd17250b961d | d31b9f832ff922a603f76cf32e0f3aa822640508 | /src/hott/hit/trunc.lean | 94c8a1abaea3bda2a0f7286aa2c8a04f6535f2ba | [
"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 | 6,073 | 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
n-truncation of types.
Ported from Coq HoTT
-/
/- The hit n-truncation is primitive, declared in init.hit. -/
import hott.types.sigma hott.types.pointed
universe... |
be5003bfd8f8ef27f6ba9d6fe1b161793f812dfc | 1446f520c1db37e157b631385707cc28a17a595e | /src/Init/Lean/Meta/AppBuilder.lean | 2bb34dbf8f02b11c23045f7ef721331b2c7d0624 | [
"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 | 8,912 | 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 Init.Lean.Meta.SynthInstance
namespace Lean
@[inline] def Expr.eq? (p : Expr) : Option (Expr × Expr × Expr) :=
if p.isAppOfArity `Eq 3 then
some ... |
e77c0dfe782f531fdd622e3a1881bd218343dbdd | 2c096fdfecf64e46ea7bc6ce5521f142b5926864 | /src/Lean/Meta/ExprDefEq.lean | bb57345edba23e06a3fc2baf0f1a782920bc0cab | [
"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 | 77,343 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Meta.Offset
import Lean.Meta.UnificationHint
import Lean.Util.OccursCheck
namespace Lean.Meta
/--
Return true if `b` is of the form `mk a.1 ... |
4fba9a64e692ce566ef44f10c5dcac9fa2029666 | b392eb79fb36952401156496daa60628ccb07438 | /Lib4/PostPort.lean | 3008c53149241791f2a60ed27eda7d2db63f9a68 | [
"Apache-2.0"
] | permissive | AurelienSaue/mathportsource | d9eabe74e3ab7774baa6a10a6dc8d4855ff92266 | 1a164e4fff7204c522c1f4ecc5024fd909be3b0b | refs/heads/master | 1,685,214,377,305 | 1,623,621,223,000 | 1,623,621,223,000 | 364,191,042 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 207 | lean | /-
Copyright (c) 2020 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Daniel Selsam
-/
import PostPort.Coe
import PostPort.Pow
|
ea3a675e9f3662edb823785af6fdfadd4a70d4ab | 77c5b91fae1b966ddd1db969ba37b6f0e4901e88 | /src/number_theory/bernoulli_polynomials.lean | 4138f46586aeffda955636e38a29d4c0a53a9def | [
"Apache-2.0"
] | permissive | dexmagic/mathlib | ff48eefc56e2412429b31d4fddd41a976eb287ce | 7a5d15a955a92a90e1d398b2281916b9c41270b2 | refs/heads/master | 1,693,481,322,046 | 1,633,360,193,000 | 1,633,360,193,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 7,118 | lean | /-
Copyright (c) 2021 Ashvni Narayanan. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Ashvni Narayanan
-/
import data.nat.choose.cast
import number_theory.bernoulli
/-!
# Bernoulli polynomials
The Bernoulli polynomials (defined here : https://en.wikipedia.org/wiki/B... |
fe7278edcdbb6bab8b0d8029192a494d1188265f | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/section3.lean | 771a6565ce78f9702f58d9d76753090eb230ccba | [
"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 | 110 | lean | section
parameter (A : Type)
definition foo := A
definition bar {X : Type} {A : X} : foo :=
sorry
end
|
7db8e6823a082779f057c339a3cf1f9cac063032 | a45212b1526d532e6e83c44ddca6a05795113ddc | /src/number_theory/dioph.lean | 758029d21859cc987d9e2db7b1b42b4cb2f55acf | [
"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 | 36,071 | 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 number_theory.pell data.pfun
universe u
open nat function
namespace int
lemma eq_nat_abs_iff_mul (x n) : nat_abs x = n ↔ (x - n) * (x + n) = 0 :=
begin
r... |
8be7abf1015d1cd508b339a37b26cd39a639ffcd | 94e33a31faa76775069b071adea97e86e218a8ee | /src/algebra/direct_sum/ring.lean | aae4829ac4f87e4bbecc0a2923421ab694a93096 | [
"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 | 22,801 | lean | /-
Copyright (c) 2021 Eric Wieser. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Eric Wieser
-/
import group_theory.subgroup.basic
import algebra.graded_monoid
import algebra.direct_sum.basic
import algebra.big_operators.pi
/-!
# Additively-graded multiplicative stru... |
9c4c1e2091275d14e311672ec3771f51fe8729a9 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/data/polynomial/cancel_leads.lean | a75bac5dacfabf57b30c3e2487c82fb7f6c3b602 | [
"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 | 2,760 | 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 data.polynomial.degree.definitions
import tactic.compute_degree
/-!
# Cancel the leading terms of two polynomials
## Definition
* `cancel_leads p q`: the pol... |
544531e61e89d6db6a25d158d7d6843208da3087 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/Lean/Compiler/LCNF/PullLetDecls.lean | b80174336c7c8ce41ddf124cc467b5197236c3da | [
"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 | 4,018 | lean | /-
Copyright (c) 2022 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Compiler.LCNF.CompilerM
import Lean.Compiler.LCNF.DependsOn
import Lean.Compiler.LCNF.Types
import Lean.Compiler.LCNF.PassManager
namespace Lea... |
273b5c9dfb74b45b466ac932585cd69b6326346f | 4727251e0cd73359b15b664c3170e5d754078599 | /src/ring_theory/coprime/basic.lean | 2eb406bc1b075e6224fe60831c4d8412f5bf235b | [
"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 | 12,383 | lean | /-
Copyright (c) 2020 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau, Ken Lee, Chris Hughes
-/
import tactic.ring
import algebra.ring.basic
import group_theory.group_action.units
/-!
# Coprime elements of a ring
## Main definitions
* `is_coprime... |
1d9f1c989ad0851a053c6878c013c5cda7491011 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/algebra/order/archimedean.lean | bf4cdcc97a2ec37f7e075330549c15f19216ca6a | [
"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 | 14,543 | 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 data.int.least_greatest
import data.rat.floor
/-!
# Archimedean groups and fields.
This file defines the archimedean property for ordered groups and proves s... |
1950c06a2b54f5e05814a126e796509c75400e8b | 80746c6dba6a866de5431094bf9f8f841b043d77 | /src/category_theory/natural_isomorphism.lean | fd94b2030fd52d445c1d34d6b0f4baf725f9b8d5 | [
"Apache-2.0"
] | permissive | leanprover-fork/mathlib-backup | 8b5c95c535b148fca858f7e8db75a76252e32987 | 0eb9db6a1a8a605f0cf9e33873d0450f9f0ae9b0 | refs/heads/master | 1,585,156,056,139 | 1,548,864,430,000 | 1,548,864,438,000 | 143,964,213 | 0 | 0 | Apache-2.0 | 1,550,795,966,000 | 1,533,705,322,000 | Lean | UTF-8 | Lean | false | false | 5,408 | lean | -- Copyright (c) 2017 Scott Morrison. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Authors: Tim Baumann, Stephen Morgan, Scott Morrison
import category_theory.isomorphism
import category_theory.functor_category
open category_theory
namespace category_theory.nat_iso
... |
7550f975b7724de6fbc9869f71c31f08b54734e4 | 947b78d97130d56365ae2ec264df196ce769371a | /tests/playground/cmdparsertest1.lean | 7293984425596066e4a1ab4d41b2d5efc997a453 | [
"Apache-2.0"
] | permissive | shyamalschandra/lean4 | 27044812be8698f0c79147615b1d5090b9f4b037 | 6e7a883b21eaf62831e8111b251dc9b18f40e604 | refs/heads/master | 1,671,417,126,371 | 1,601,859,995,000 | 1,601,860,020,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,192 | lean | import Lean.Parser.Command
open Lean
open Lean.Parser
def testParser (input : String) : IO Unit :=
do
env ← mkEmptyEnvironment;
cmdPTables ← builtinCommandParsingTable.get;
stx ← IO.ofExcept $ runParser env cmdPTables input "<input>" "command";
IO.println stx
def test (is : List String) : IO Unit :=
is.mfor $ fun inp... |
d30b67399fbc95dc3c1ea6922b1cf94aef4022a1 | 947b78d97130d56365ae2ec264df196ce769371a | /tests/lean/run/noncomputable_bug.lean | f09f5032ba6b6d54b8ce0d4fd0cf6b5154adcbf1 | [
"Apache-2.0"
] | permissive | shyamalschandra/lean4 | 27044812be8698f0c79147615b1d5090b9f4b037 | 6e7a883b21eaf62831e8111b251dc9b18f40e604 | refs/heads/master | 1,671,417,126,371 | 1,601,859,995,000 | 1,601,860,020,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 116 | lean | new_frontend
axiom f : ∀ (A : Type), A → Type
def ex5b (α : Type) (a : α) : ∀ (A : Type), A → Type :=
f
|
6437219d36945792dc8f3e688008e9e19590cc71 | b9a81ebb9de684db509231c4469a7d2c88915808 | /src/super/misc_preprocessing.lean | 1104b441d32bc5afabda281e463115c66afb7705 | [] | no_license | leanprover/super | 3dd81ce8d9ac3cba20bce55e84833fadb2f5716e | 47b107b4cec8f3b41d72daba9cbda2f9d54025de | refs/heads/master | 1,678,482,996,979 | 1,676,526,367,000 | 1,676,526,367,000 | 92,215,900 | 12 | 6 | null | 1,513,327,539,000 | 1,495,570,640,000 | Lean | UTF-8 | Lean | false | false | 1,134 | lean | /-
Copyright (c) 2017 Gabriel Ebner. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gabriel Ebner
-/
import .clause .prover_state
open expr list monad
namespace super
meta def is_taut (c : clause) : tactic bool := do
qf ← c.open_constn c.num_quants,
return $ list.bor... |
871bd14ed4525f5bc08baad8566d7bbf161fd482 | 367134ba5a65885e863bdc4507601606690974c1 | /src/control/traversable/derive.lean | 68d5db907885ac4267014a24678f6f14e689c8d2 | [
"Apache-2.0"
] | permissive | kodyvajjha/mathlib | 9bead00e90f68269a313f45f5561766cfd8d5cad | b98af5dd79e13a38d84438b850a2e8858ec21284 | refs/heads/master | 1,624,350,366,310 | 1,615,563,062,000 | 1,615,563,062,000 | 162,666,963 | 0 | 0 | Apache-2.0 | 1,545,367,651,000 | 1,545,367,651,000 | null | UTF-8 | Lean | false | false | 17,057 | lean | /-
Copyright (c) 2018 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Simon Hudon
Automation to construct `traversable` instances
-/
import control.traversable.lemmas
import data.list.basic
namespace tactic.interactive
open tactic list monad functor
meta... |
496f26b7a32b62e230b28004bb11492f1fc60928 | d1a52c3f208fa42c41df8278c3d280f075eb020c | /stage0/src/Lean/Server/AsyncList.lean | c45d696e0d3e9bf679c1f639333cdc850d15440a | [
"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 | 4,965 | lean | /-
Copyright (c) 2020 Wojciech Nawrocki. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Wojciech Nawrocki
-/
import Init.System.IO
namespace IO
universe u v
/-- An async IO list is like a lazy list but instead of being *unevaluated* `Thunk`s,
lazy tails are `Task`s... |
4e9bc1ee5ac5a430575b35c2a088666c6c676b92 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/category_theory/idempotents/karoubi_karoubi.lean | 983eb2ac4b9e7539e9b198d9e1d056506390332a | [
"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 | 3,350 | lean | /-
Copyright (c) 2022 Joël Riou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joël Riou
-/
import category_theory.idempotents.karoubi
/-!
# Idempotence of the Karoubi envelope
In this file, we construct the equivalence of categories
`karoubi_karoubi.equivalence C ... |
067c31a1795434fcf1a28acb8b00c7f0ed5a40be | f5f7e6fae601a5fe3cac7cc3ed353ed781d62419 | /src/tactic/linarith.lean | 61e706c1fd8a7857677715a1476853b4b5d1e803 | [
"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 | 32,563 | lean | /-
Copyright (c) 2018 Robert Y. Lewis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Robert Y. Lewis
A tactic for discharging linear arithmetic goals using Fourier-Motzkin elimination.
`linarith` is (in principle) complete for ℚ and ℝ. It is not complete for n... |
95e29d0be07742962e61cf746cc857c91e78446a | 8e6cad62ec62c6c348e5faaa3c3f2079012bdd69 | /src/algebra/group_power/basic.lean | df7acba22a56b19dfb1122fd3c88f853359e9914 | [
"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 | 26,397 | lean | /-
Copyright (c) 2015 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Robert Y. Lewis
-/
import algebra.ordered_ring
import tactic.monotonicity.basic
import deprecated.group
/-!
# Power operations on monoids and groups
The power operation... |
b69ccb0f725afde9192e6f3a670b1729712aa1b8 | 6a205478518645c9c32139432d2515af695dade4 | /src/Sample.lean | d7676262b6b28216b68510eda0ff66a1f03f77de | [
"LicenseRef-scancode-mit-taylor-variant",
"LicenseRef-scancode-warranty-disclaimer"
] | permissive | o89/sample-n2o | 9febd9110b69ecb9c999e98d1d9ed5498425f5dd | 6a6a450bbebc2f54a7f0d2ab66ef37c8a69feb45 | refs/heads/master | 1,655,813,514,957 | 1,655,472,697,000 | 1,655,472,697,000 | 205,369,860 | 2 | 2 | null | null | null | null | UTF-8 | Lean | false | false | 464 | lean | import Init.System.IO
import N2O.Default
def echoProto : Proto :=
{ ev := Option String,
nothing := Result.ok,
proto := λ p => match p with
| Msg.text s => some s
| _ => none }
def echo : echoProto.ev → Result
| none => Result.ok
| some s => Result.reply (Msg.text s)
def router (cx : Cx echoProto) : Cx e... |
cdb10be8aced6a688a28efbcf59f0ab7e8f0169f | ebbdcbd7ddc89a9ef7c3b397b301d5f5272a918f | /qp/p0_stdlib/c3_order.lean | 2cd3a8365c457e65af92223db2fee7757d9936fd | [] | no_license | intoverflow/qvr | 34b9ef23604738381ca20b7d622fd0399d88f2dd | 0cfcd33fe4bf8d93851a00cec5bfd21e77105d74 | refs/heads/master | 1,616,591,570,371 | 1,492,575,772,000 | 1,492,575,772,000 | 80,061,627 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 659 | lean | /- -----------------------------------------------------------------------
Facts about orders.
----------------------------------------------------------------------- -/
namespace qp
namespace stdaux
universe variables ℓ₁ ℓ₂
/-! #brief A monotone function.
-/
definition monotone
{A : Sort ℓ₁} (r : A → A → Prop)
... |
27dfbf4e177fef44359464903d6c5ceb7e12359c | 8eeb99d0fdf8125f5d39a0ce8631653f588ee817 | /src/algebra/algebra/basic.lean | 1664a13e31c388a23379696adafe05239bd1c52f | [
"Apache-2.0"
] | permissive | jesse-michael-han/mathlib | a15c58378846011b003669354cbab7062b893cfe | fa6312e4dc971985e6b7708d99a5bc3062485c89 | refs/heads/master | 1,625,200,760,912 | 1,602,081,753,000 | 1,602,081,753,000 | 181,787,230 | 0 | 0 | null | 1,555,460,682,000 | 1,555,460,682,000 | null | UTF-8 | Lean | false | false | 44,610 | lean | /-
Copyright (c) 2018 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau, Yury Kudryashov
-/
import tactic.nth_rewrite
import data.matrix.basic
import linear_algebra.tensor_product
import ring_theory.subring
import deprecated.subring
/-!
# Algebra ove... |
2e14262aa483a5efa3f3f06679c9a965f9fe49e9 | b66669ef1ec06ddbd9526fe3afe0a68566dfbad3 | /src/wireworld.lean | bce2d21ce2c294f0e94b2c9eacff856a3a7eda20 | [
"MIT"
] | permissive | FerdoSil/LatticesAndCellularAutomata | 40185a9099bb3cf1371c85f1ca33a17c2e26fecb | 2a69d2e74a231addf0e446dca86ef90d50d60218 | refs/heads/master | 1,587,683,992,072 | 1,586,018,471,000 | 1,586,018,471,000 | 171,533,028 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 7,071 | lean | -- Implementation of Wireworld.
-- Cell states 'cellT' are represented as follows.
-- 'empty'
-- 'ehead' for electron head
-- 'etail' for electron tail
-- 'condu' for conductor
-- The definition 'mk_hpp' builds an instance of HPP
-- from an initial configuration of cell states.
import cell_automaton utils dat... |
a2861dbcba5a36d7b31a613d48252087ab6eb2e1 | 36938939954e91f23dec66a02728db08a7acfcf9 | /lean/deps/x86_semantics/src/x86_semantics/evaluator.lean | 1546757a2eb33e30b9749bf1121da77fcffd344f | [
"Apache-2.0"
] | permissive | pnwamk/reopt-vcg | f8b56dd0279392a5e1c6aee721be8138e6b558d3 | c9f9f185fbefc25c36c4b506bbc85fd1a03c3b6d | refs/heads/master | 1,631,145,017,772 | 1,593,549,019,000 | 1,593,549,143,000 | 254,191,418 | 0 | 0 | null | 1,586,377,077,000 | 1,586,377,077,000 | null | UTF-8 | Lean | false | false | 38,128 | lean | -- Evaluates actions in an environment.
import galois.data.bitvec
import .common
import .machine_memory
import .sexpr
-- FIXME: move
def annotate {ε} {m} [monad m] [monad_except ε m]
{a} (f : ε -> ε) (c : m a) : m a := catch c (λe, throw (f e))
def annotate' {m} [monad m] [monad_except string m]
{a} (e : string) ... |
ee5c0d851d53d796f06c3e0290445ed9ba6d54fc | 4950bf76e5ae40ba9f8491647d0b6f228ddce173 | /src/category_theory/sites/sheaf.lean | 4cb48c2e0b22c42e471829c06d26985cf2328f5c | [
"Apache-2.0"
] | permissive | ntzwq/mathlib | ca50b21079b0a7c6781c34b62199a396dd00cee2 | 36eec1a98f22df82eaccd354a758ef8576af2a7f | refs/heads/master | 1,675,193,391,478 | 1,607,822,996,000 | 1,607,822,996,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 33,338 | 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.sites.pretopology
import category_theory.limits.shapes.types
import category_theory.full_subcategory
/-!
# Sheaves on a Grothendieck topology
De... |
bc8831b08e134db807ee69b6f631af640f0a6396 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/eq_class_error.lean | 2c0cc5fd218fbe7b78f567dcbb0ce0c974551050 | [
"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 | 621 | lean | inductive foo :=
| a | b
open foo
-- This test demonstrates we need to disable local instances.
set_option elaborator.local_instances false
definition decidable_eq_foo [instance] : ∀ f₁ f₂ : foo, decidable (f₁ = f₂)
| a a := by left; reflexivity
| a b := by right; contradiction
| b a := by right; contradiction
--... |
bd62f90675898791313c86e466ce3e56650c98b8 | 22e97a5d648fc451e25a06c668dc03ac7ed7bc25 | /src/data/set/lattice.lean | 2aa3de791fb5586db63622c02695eb04faf301d7 | [
"Apache-2.0"
] | permissive | keeferrowan/mathlib | f2818da875dbc7780830d09bd4c526b0764a4e50 | aad2dfc40e8e6a7e258287a7c1580318e865817e | refs/heads/master | 1,661,736,426,952 | 1,590,438,032,000 | 1,590,438,032,000 | 266,892,663 | 0 | 0 | Apache-2.0 | 1,590,445,835,000 | 1,590,445,835,000 | null | UTF-8 | Lean | false | false | 34,287 | lean | /-
Copyright (c) 2014 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Leonardo de Moura, Johannes Hölzl, Mario Carneiro
-- QUESTION: can make the first argument in ∀ x ∈ a, ... implicit?
-/
import order.complete_boolean_algebra
import data... |
e22836667a36d732ad7e419d4ebd8895878d0f42 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/algebraic_topology/dold_kan/normalized.lean | e6e55b3f70a4decec8ff4ddacc699e881071aeac | [
"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 | 5,554 | lean | /-
Copyright (c) 2022 Joël Riou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joël Riou
-/
import algebraic_topology.dold_kan.functor_n
/-!
# Comparison with the normalized Moore complex functor
TODO (@joelriou) continue adding the various files referenced below
... |
d086290e11116991b24e3ced2cb43ce4ebc80079 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/vector2.lean | 6618114fa0a813a86cb02c04b31255a006e01d7b | [
"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 | 376 | lean | namespace Ex
open nat
inductive vector (A : Type) : nat → Type
| vnil : vector nat.zero
| vcons : Π {n : nat}, A → vector n → vector (succ n)
namespace vector
theorem vcons.inj₁ {A : Type} {n : nat} (a₁ a₂ : A) (v₁ v₂ : vector A n) : vcons a₁ v₁ = vcons a₂ v₂ → a₁ = a₂ :=
assume h, vector.no_confusion h (λ n h t... |
2b189a51fe5c69928619228fb789bdccb5f56fb3 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/even_odd2.lean | de89ba850e1c21c6850495d2977c5b6e48412b01 | [
"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 | 489 | lean | mutual def even, odd
with even : nat → bool
| 0 := tt
| (a+1) := odd a
with odd : nat → bool
| 0 := ff
| (a+1) := even a
using_well_founded {rel_tac := λ f eqns, tactic.trace f >> tactic.trace eqns >> tactic.apply_instance}
example (a : nat) : even (a + 1) = odd a :=
by simp [even]
example (a : nat) : odd (a ... |
a95bf23a6a6d4b944b01d6e50f594da80409a74d | 4b846d8dabdc64e7ea03552bad8f7fa74763fc67 | /tests/lean/char_lits.lean | 074bdb35ffe965d880c9bd77ced84673ae2809c5 | [
"Apache-2.0"
] | permissive | pacchiano/lean | 9324b33f3ac3b5c5647285160f9f6ea8d0d767dc | fdadada3a970377a6df8afcd629a6f2eab6e84e8 | refs/heads/master | 1,611,357,380,399 | 1,489,870,101,000 | 1,489,870,101,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 193 | lean | import system.io
open io
#check #"a"
#eval #"a"
#eval #"\n"
#eval #"\\"
#eval put_str (list.cons #"\\" "aaa")
#eval put_str [#"\n"]
#eval put_str [#"\n"]
#eval put_str (list.cons #"\'" "aaa")
|
e0aebf642e5661940eb375d98fb455c2c4c7db0e | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/algebra/order/field.lean | 1b3766df2847dd4ec7408236270a7acdd564b281 | [
"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 | 28,761 | lean | /-
Copyright (c) 2014 Robert Lewis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Robert Lewis, Leonardo de Moura, Mario Carneiro, Floris van Doorn
-/
import algebra.field
import algebra.group_power.order
import algebra.order.ring
import tactic.monotonicity.basic
/-!... |
992bbfe242830fc430e32e5c7ef7355dfbdd2ee3 | 9dd3f3912f7321eb58ee9aa8f21778ad6221f87c | /tests/lean/run/lift_nested_rec.lean | 3a5905064230f131bfd192bab40f571e01118cc1 | [
"Apache-2.0"
] | permissive | bre7k30/lean | de893411bcfa7b3c5572e61b9e1c52951b310aa4 | 5a924699d076dab1bd5af23a8f910b433e598d7a | refs/heads/master | 1,610,900,145,817 | 1,488,006,845,000 | 1,488,006,845,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 243 | lean | definition f : nat → (nat × nat) → nat
| 0 m := m.1
| (n+1) m :=
match m with
| (a, b) := (f n (b, a + 1)) + (f n (a, b))
end
check @f._main.equations._eqn_1
check @f._main.equations._eqn_2
check @f._match_1.equations._eqn_1
|
33193ff2f8df258569007ea43c68b66463cbae2c | 4a092885406df4e441e9bb9065d9405dacb94cd8 | /src/for_mathlib/rings.lean | b9c870a4cc5b1eb64bc13365e592223517503468 | [
"Apache-2.0"
] | permissive | semorrison/lean-perfectoid-spaces | 78c1572cedbfae9c3e460d8aaf91de38616904d8 | bb4311dff45791170bcb1b6a983e2591bee88a19 | refs/heads/master | 1,588,841,765,494 | 1,554,805,620,000 | 1,554,805,620,000 | 180,353,546 | 0 | 1 | null | 1,554,809,880,000 | 1,554,809,880,000 | null | UTF-8 | Lean | false | false | 2,517 | lean | import ring_theory.ideal_operations data.equiv.algebra
import for_mathlib.subtype
universes u u₁ u₂ v v₁ w
section
variables {R : Type*} {S : Type*} [monoid R] [monoid S]
lemma mul_left_mul {G : Type*} [semigroup G] (x y : G) :
(*) (x * y) = (*) x ∘ (*) y :=
funext $ λ _, mul_assoc _ _ _
-- It seems that semigro... |
c0530e25b1c5a2ded547d0f0b20d1bc703a2d1ee | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/tactic/dependencies.lean | 9befb337213aaf6fbc9ff27571dc1a905b6e6be6 | [
"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 | 30,423 | 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 meta.rb_map
import tactic.core
/-!
# Tactics About Dependencies
This module provides tactics to compute dependencies and reverse dependencies of
hypotheses. ... |
dbb3681c66bb5fd2c67722d87d09846b8649e851 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/data/buffer/parser/basic.lean | e76841f87d0f791b089c5df3b6a57030564e19ea | [
"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 | 110,139 | lean | /-
Copyright (c) 2020 Yakov Pechersky. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yakov Pechersky
-/
import data.string.basic
import data.buffer.basic
import data.nat.digits
/-!
# Parsers
`parser α` is the type that describes a computation that can ingest a `char... |
d627a2af5a7e613222c2c097e19ebe27bcfce6dc | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/category_theory/limits/shapes/wide_equalizers.lean | afb10a6c18cd079c9970912862e435595b9534ad | [
"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 | 27,925 | lean | /-
Copyright (c) 2021 Bhavik Mehta. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Bhavik Mehta
-/
import category_theory.epi_mono
import category_theory.limits.has_limits
import category_theory.limits.shapes.equalizers
/-!
# Wide equalizers and wide coequalizers
Thi... |
e1f8b44c7583908aac17f7a847636535f052be4d | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/data/fintype/card.lean | 8d5532a2a5ee693010ca0a64df7b7cd4bf7d124f | [
"Apache-2.0"
] | permissive | jcommelin/mathlib | d8456447c36c176e14d96d9e76f39841f69d2d9b | ee8279351a2e434c2852345c51b728d22af5a156 | refs/heads/master | 1,664,782,136,488 | 1,663,638,983,000 | 1,663,638,983,000 | 132,563,656 | 0 | 0 | Apache-2.0 | 1,663,599,929,000 | 1,525,760,539,000 | Lean | UTF-8 | Lean | false | false | 9,827 | lean | /-
Copyright (c) 2017 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
import data.fintype.basic
import algebra.big_operators.ring
import algebra.big_operators.option
/-!
Results about "big operations" over a `fintype`, and consequent
r... |
a56fbd92a29abe8f20d203d96514efc16d336f22 | bbecf0f1968d1fba4124103e4f6b55251d08e9c4 | /src/data/set/intervals/basic.lean | c00cfd830fdefa1f0142cc4ece013b0f58c969d3 | [
"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 | 54,225 | 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, Patrick Massot, Yury Kudryashov, Rémy Degenne
-/
import algebra.order.group
import data.set.basic
import order.rel_iso
import order.order_dual
/-!
# In... |
ac0d625fc45b56569dddc6bee9ec18ea233acf4e | a0e23cfdd129a671bf3154ee1a8a3a72bf4c7940 | /tests/lean/223.lean | 34ef6ca33529bdbd71a7c9cd25b6b6be79ca8555 | [
"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 | 335 | lean | universe u v
inductive Imf {α : Type u} {β : Type v} (f : α → β) : β → Type (max u v)
| mk : (a : α) → Imf f (f a)
def h {α β} {f : α → β} : {b : β} → Imf f b → α
| _, Imf.mk a => a
#print h
theorem ex : ∀ {α β : Sort u} (h : α = β) (a : α), cast h a ≅ a
| α, _, rfl, a => HEq.refl a
#print ex
|
4c71846fd079e357fa2ae75fb0756db3b9b58731 | fe84e287c662151bb313504482b218a503b972f3 | /src/commutative_algebra/book/sec_rings.lean | ed2dc37a3299123b60b5eff10fa60fad32b562ba | [] | 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 | 8,253 | lean | import algebra.ring data.rat data.real.basic data.complex.basic
import data.nat.prime ring_theory.subring.basic number_theory.zsqrtd.gaussian_int data.zmod.basic
import topology.constructions topology.continuous_function.algebra topology.instances.real
import data.mv_polynomial
import tactic.ring
import commutative_al... |
3b5f49c472e810d82094702dc273ff35f7a57236 | 947b78d97130d56365ae2ec264df196ce769371a | /stage0/src/Lean/Elab/Match.lean | 49432830a14400daf9110990b0426ff620172c1c | [
"Apache-2.0"
] | permissive | shyamalschandra/lean4 | 27044812be8698f0c79147615b1d5090b9f4b037 | 6e7a883b21eaf62831e8111b251dc9b18f40e604 | refs/heads/master | 1,671,417,126,371 | 1,601,859,995,000 | 1,601,860,020,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 33,329 | 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.Match.MatchPatternAttr
import Lean.Meta.Match.Match
import Lean.Elab.SyntheticMVars
import Lean.Elab.App
namespace Lean
namespace Elab
nam... |
5bc3f5cc363279dc6101469a6f83e7e90b2d2e1c | ea5678cc400c34ff95b661fa26d15024e27ea8cd | /algebra_of_equiv.lean | 4fb98ea9630b3506c68f020a83dfb8372046d03d | [] | 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 | 4,472 | lean | import data.equiv.basic algebra.field
universes u v
variables {α : Type u} {β : Type v} (e : α ≃ β)
namespace equiv
protected def has_zero [has_zero α] : has_zero β := ⟨e 0⟩
lemma zero_def [has_zero α] : @has_zero.zero _ (equiv.has_zero e) = e 0 := rfl
protected def has_one [has_one α] : has_one β := ⟨e 1⟩
lemma on... |
47ee99a2ad4db40b497e166dd0b7850d37990208 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/1571.lean | b4c60b644bfd2dffecfadc8d84ec7993500881ab | [
"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 | 139 | lean | #check True → (∃ a : Nat, a = a)
-- True → ∃ a, a = a : Prop
#check True → (∃ b : Nat, b = b)
-- True → ∃ b, b = b : Prop
|
2d2311afd32beaf01336177ee38c17cebdc278fe | a7eef317ddec01b9fc6cfbb876fe7ac00f205ac7 | /src/data/int/basic.lean | 8c4cbd820993a89b379b4c4d1111ac13f4213f12 | [
"Apache-2.0"
] | permissive | kmill/mathlib | ea5a007b67ae4e9e18dd50d31d8aa60f650425ee | 1a419a9fea7b959317eddd556e1bb9639f4dcc05 | refs/heads/master | 1,668,578,197,719 | 1,593,629,163,000 | 1,593,629,163,000 | 276,482,939 | 0 | 0 | null | 1,593,637,960,000 | 1,593,637,959,000 | null | UTF-8 | Lean | false | false | 56,836 | 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 algebra.char_zero
import algebra.ring
import data.list.range
open nat
namespace int
instance : c... |
a441cb7e88db09883b52f2e1d596e3e15891632b | 367134ba5a65885e863bdc4507601606690974c1 | /src/tactic/omega/term.lean | de2e3cd34ea02364445e553a4f6a23b9db2c4858 | [
"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 | 2,675 | lean | /-
Copyright (c) 2019 Seul Baek. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Seul Baek
-/
/-
Normalized linear integer arithmetic terms.
-/
import tactic.omega.coeffs
namespace omega
/-- Shadow syntax of normalized terms. The first element
represents the cons... |
f90e2cd68e43e649227fa10029a46e1a654b64ec | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/logic/relation.lean | 249e24aef2306fcba58dbdd2593c46c6371db122 | [
"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 | 20,557 | lean | /-
Copyright (c) 2018 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
-/
import tactic.basic
import logic.relator
/-!
# Relation closures
This file defines the reflexive, transitive, and reflexive transitive closures of relations.
It als... |
60f80fb7af2ad13c8742ff46fe4fa120dd76702d | 367134ba5a65885e863bdc4507601606690974c1 | /src/category_theory/is_connected.lean | bec73cf91a3598f154815073347d05bd220d50b4 | [
"Apache-2.0"
] | permissive | kodyvajjha/mathlib | 9bead00e90f68269a313f45f5561766cfd8d5cad | b98af5dd79e13a38d84438b850a2e8858ec21284 | refs/heads/master | 1,624,350,366,310 | 1,615,563,062,000 | 1,615,563,062,000 | 162,666,963 | 0 | 0 | Apache-2.0 | 1,545,367,651,000 | 1,545,367,651,000 | null | UTF-8 | Lean | false | false | 12,870 | 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 data.list.chain
import category_theory.punit
/-!
# Connected category
Define a connected category as a _nonempty_ category for which every functor
to a discrete ... |
47526e14cd1ee7ed74dc13a97e7d2929c30f969b | 4727251e0cd73359b15b664c3170e5d754078599 | /src/category_theory/balanced.lean | c1277508f7cef5ff1bad8ba3054001235a03dc13 | [
"Apache-2.0"
] | permissive | Vierkantor/mathlib | 0ea59ac32a3a43c93c44d70f441c4ee810ccceca | 83bc3b9ce9b13910b57bda6b56222495ebd31c2f | refs/heads/master | 1,658,323,012,449 | 1,652,256,003,000 | 1,652,256,003,000 | 209,296,341 | 0 | 1 | Apache-2.0 | 1,568,807,655,000 | 1,568,807,655,000 | null | UTF-8 | Lean | false | false | 1,440 | lean | /-
Copyright (c) 2022 Markus Himmel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Markus Himmel
-/
import category_theory.epi_mono
/-!
# Balanced categories
A category is called balanced if any morphism that is both monic and epic is an isomorphism.
Balanced categ... |
bbeb15377692290d87a13c23c9bb6068be86e95f | f68c8823d8ddc719de8a4513815174aa7408ac4a | /lean_resolutions/PUZ031_1.lean | 416b063c960ed296aaeed1839b85943875819c4a | [] | no_license | FredsoNerd/tptp-lean-puzzles | e7ea66a0de9aa3cb7cc7480299f01adf885440a6 | 43d4d77524e797a4ac7a62b2cfaf8df08b409815 | refs/heads/master | 1,606,359,611,765 | 1,576,824,274,000 | 1,576,824,274,000 | 228,945,807 | 4 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,645 | lean | --------------------------------------------------------------------------------
-- File : PUZ031_1 : TPTP v7.3.0. Released v5.0.0.
-- Domain : Puzzles
-- Problem : Schubert's Steamroller
-- Version : Especial.
-- English : Wolves, foxes, birds, caterpillars, and snails are animals, and
-- there are... |
7170f3f66f8a5ce62de598abe2eba78582a89e12 | fecda8e6b848337561d6467a1e30cf23176d6ad0 | /src/ring_theory/noetherian.lean | 7acf7aa2a911f373500719bb2d16c176028fa73e | [
"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 | 21,133 | 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... |
ab7fd00d25688606c8722ec63c8349db4b035b8e | 2385ce0e3b60d8dbea33dd439902a2070cca7a24 | /library/init/algebra/classes.lean | e0276ec4a85f96e84e2986f2c77b9fa6c0f9ff76 | [
"Apache-2.0"
] | permissive | TehMillhouse/lean | 68d6fdd2fb11a6c65bc28dec308d70f04dad38b4 | 6bbf2fbd8912617e5a973575bab8c383c9c268a1 | refs/heads/master | 1,620,830,893,339 | 1,515,592,479,000 | 1,515,592,997,000 | 116,964,828 | 0 | 0 | null | 1,515,592,734,000 | 1,515,592,734,000 | null | UTF-8 | Lean | false | false | 11,694 | 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.logic init.data.ordering.basic
universes u
@[algebra] class is_commutative (α : Type u) (op : α → α → α) : Prop :=
(comm : ∀ a b, op a ... |
55786430c8aa95d0f3be0e6e20ec4e4a158db2c9 | 618003631150032a5676f229d13a079ac875ff77 | /src/data/list/sigma.lean | 63467a3ca56469f5b9608fac446fee991ad29343 | [
"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 | 24,012 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Sean Leather
Functions on lists of sigma types.
-/
import data.list.perm
import data.list.range
import data.sigma
universes u v
namespace list
variables {α : Type u}... |
0529a54790f605a16296b944bb6369a9e97797fd | 22e97a5d648fc451e25a06c668dc03ac7ed7bc25 | /src/category_theory/elements.lean | 46ab556901fcbe2edd9f39e34325f23aeaa2789b | [
"Apache-2.0"
] | permissive | keeferrowan/mathlib | f2818da875dbc7780830d09bd4c526b0764a4e50 | aad2dfc40e8e6a7e258287a7c1580318e865817e | refs/heads/master | 1,661,736,426,952 | 1,590,438,032,000 | 1,590,438,032,000 | 266,892,663 | 0 | 0 | Apache-2.0 | 1,590,445,835,000 | 1,590,445,835,000 | null | UTF-8 | Lean | false | false | 4,056 | lean | /-
Copyright (c) 2019 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import category_theory.comma
import category_theory.groupoid
/-!
# The category of elements
This file defines the category of elements, also known as (a special cas... |
7fb693e3c005f254d4535dc0bff6d7d84baccb0f | cf39355caa609c0f33405126beee2739aa3cb77e | /library/init/meta/simp_tactic.lean | 8e98d0b4e39723aca4551f440914eb1bb97a1d0d | [
"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 | 28,078 | 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.meta.attribute init.meta.constructor_tactic
import init.meta.relation_tactics init.meta.occurrences
import init.data.op... |
431af19718f40e0108071848c66872c5aa3fa78e | 8b9f17008684d796c8022dab552e42f0cb6fb347 | /library/data/list/bigop.lean | 89147bbb36838e5f88ac0574a84ff2e2f95e6bc7 | [
"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 | 2,348 | lean | /-
Copyright (c) 2015 Leonardo de Moura. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Module: data.list.bigop
Authors: Leonardo de Moura
Big operator for lists
-/
import algebra.group data.list.comb data.list.set data.list.perm
open algebra function binary quot
namespace l... |
eeb616fcfb2bf5a6aa572a6ae7d7e74b529cc054 | 35677d2df3f081738fa6b08138e03ee36bc33cad | /src/data/int/modeq.lean | 4518058ae396c5380c7972a8f24f2d974907768f | [
"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 | 6,052 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes
-/
import data.int.basic data.nat.modeq
import tactic
namespace int
def modeq (n a b : ℤ) := a % n = b % n
notation a ` ≡ `:50 b ` [ZMOD `:50 n `]`:0 := modeq n a b
nam... |
ce3c8ca4e55e3485c9bda17e9800013a16e8dc76 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/data/finset/fold.lean | 725e3bfd48945d09d55e723c8ecd7c452fd0d076 | [
"Apache-2.0"
] | permissive | Vierkantor/mathlib | 0ea59ac32a3a43c93c44d70f441c4ee810ccceca | 83bc3b9ce9b13910b57bda6b56222495ebd31c2f | refs/heads/master | 1,658,323,012,449 | 1,652,256,003,000 | 1,652,256,003,000 | 209,296,341 | 0 | 1 | Apache-2.0 | 1,568,807,655,000 | 1,568,807,655,000 | null | UTF-8 | Lean | false | false | 8,127 | lean | /-
Copyright (c) 2017 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
import data.finset.basic
import data.multiset.fold
/-!
# The fold operation for a commutative associative operation over a finset.
-/
namespace finset
open multiset... |
e29df90fad8edc28d531009a6fc79bf8d1a2a6ed | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/ring_theory/ideal/operations.lean | aef44435a9b5a6370240e4c8ff14ce19ddade7f6 | [
"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 | 79,216 | lean | /-
Copyright (c) 2018 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau
-/
import algebra.algebra.operations
import algebra.ring.equiv
import data.nat.choose.sum
import linear_algebra.basis.bilinear
import ring_theory.coprime.lemmas
import ring_theory... |
b5a7943e998e15220686df7594cea07344741253 | bb31430994044506fa42fd667e2d556327e18dfe | /src/order/conditionally_complete_lattice/basic.lean | 8eea89f3d5511024f4ff1039353dc2534bd7ae71 | [
"Apache-2.0"
] | permissive | sgouezel/mathlib | 0cb4e5335a2ba189fa7af96d83a377f83270e503 | 00638177efd1b2534fc5269363ebf42a7871df9a | refs/heads/master | 1,674,527,483,042 | 1,673,665,568,000 | 1,673,665,568,000 | 119,598,202 | 0 | 0 | null | 1,517,348,647,000 | 1,517,348,646,000 | null | UTF-8 | Lean | false | false | 56,291 | lean | /-
Copyright (c) 2018 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import order.bounds.basic
import order.well_founded
import data.set.intervals.basic
import data.set.lattice
/-!
# Theory of conditionally complete lattices.
>... |
17783f80e7f5f22315166c9bc309d0cbed7ea1c1 | e00ea76a720126cf9f6d732ad6216b5b824d20a7 | /src/data/set/function.lean | f47b2c72c945e7873201ab8ba58ef803675c129e | [
"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 | 17,563 | 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... |
32706da479d00b23f93371c4b6180a99dd2bfb93 | bbecf0f1968d1fba4124103e4f6b55251d08e9c4 | /src/set_theory/ordinal.lean | defcf542a2ac0d69b19bdb11de11b0146daaff6a | [
"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 | 58,136 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Floris van Doorn
-/
import set_theory.cardinal
import order.conditionally_complete_lattice
/-!
# Ordinals
Ordinals are defined as equivalences of well-ordered sets un... |
6c7b058b9e3a32f9c4cb2b31bc5ff0a270db8846 | df7bb3acd9623e489e95e85d0bc55590ab0bc393 | /lean/love02_backward_proofs_exercise_sheet.lean | ff153709e559c8a54a7340f50fec0648a7d71159 | [] | no_license | MaschavanderMarel/logical_verification_2020 | a41c210b9237c56cb35f6cd399e3ac2fe42e775d | 7d562ef174cc6578ca6013f74db336480470b708 | refs/heads/master | 1,692,144,223,196 | 1,634,661,675,000 | 1,634,661,675,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,388 | lean | import .love02_backward_proofs_demo
/- # LoVe Exercise 2: Backward Proofs -/
set_option pp.beta true
set_option pp.generalized_field_notation false
namespace LoVe
namespace backward_proofs
/- ## Question 1: Connectives and Quantifiers
1.1. Carry out the following proofs using basic tactics.
Hint: Some strateg... |
61032e48073d9915eea57fb5c7726287bea2aac9 | 80cc5bf14c8ea85ff340d1d747a127dcadeb966f | /src/tactic/solve_by_elim.lean | d53b9c7a72df2ebe59369c7e1fc01efe07805146 | [
"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 | 14,282 | lean | /-
Copyright (c) 2018 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon, Scott Morrison
-/
import tactic.core
/-!
# solve_by_elim
A depth-first search backwards reasoner.
`solve_by_elim` takes a list of lemmas, and repeating tries to `apply` th... |
6f8b0bef58b6f3131ac7e830dca8ab34ee576da5 | 7cef822f3b952965621309e88eadf618da0c8ae9 | /src/ring_theory/maps.lean | 476cdd1c542916fb77183c3800e390a9298d5839 | [
"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 | 5,153 | lean | /-
Copyright (c) 2018 Andreas Swerdlow. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Andreas Swerdlow, Kenny Lau
-/
import data.equiv.algebra
/-!
# Ring antihomomorphisms, isomorphisms, antiisomorphisms and involutions
This file defines ring antihomomorphisms, ant... |
9736e14fe341e31f0ad516a0a67183dfc2d79666 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/topology/algebra/order/field.lean | 58445c3027a37c7655566edf5e41f177f4d24287 | [
"Apache-2.0"
] | permissive | alreadydone/mathlib | dc0be621c6c8208c581f5170a8216c5ba6721927 | c982179ec21091d3e102d8a5d9f5fe06c8fafb73 | refs/heads/master | 1,685,523,275,196 | 1,670,184,141,000 | 1,670,184,141,000 | 287,574,545 | 0 | 0 | Apache-2.0 | 1,670,290,714,000 | 1,597,421,623,000 | Lean | UTF-8 | Lean | false | false | 16,443 | lean | /-
Copyright (c) 2022 Benjamin Davidson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Benjamin Davidson, Devon Tuma, Eric Rodriguez, Oliver Nash
-/
import tactic.positivity
import topology.algebra.order.basic
import topology.algebra.field
/-!
# Topologies on linear... |
110ec393a9bc2dd7eb32ac31c4fec8a95ede5c39 | 6094e25ea0b7699e642463b48e51b2ead6ddc23f | /library/data/nat/div.lean | 200347eb07cd616e8b5722c78ad196cda9311170 | [
"Apache-2.0"
] | permissive | gbaz/lean | a7835c4e3006fbbb079e8f8ffe18aacc45adebfb | a501c308be3acaa50a2c0610ce2e0d71becf8032 | refs/heads/master | 1,611,198,791,433 | 1,451,339,111,000 | 1,451,339,111,000 | 48,713,797 | 0 | 0 | null | 1,451,338,939,000 | 1,451,338,939,000 | null | UTF-8 | Lean | false | false | 26,193 | lean | /-
Copyright (c) 2014 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Leonardo de Moura
Definitions and properties of div and mod. Much of the development follows Isabelle's library.
-/
import data.nat.sub
open eq.ops well_founded decidabl... |
17d039df9e00337532aa5de6c8b50f88b7fd0432 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /test/library_search/basic.lean | e5c7e29ae2d4dfde984d5b0cd810dc7f808986f2 | [
"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 | 5,367 | lean | /-
Copyright (c) 2018 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import tactic.suggest -- No other imports, for fast testing
/- Turn off trace messages so they don't pollute the test build: -/
set_option trace.silence_library_sear... |
7996c1be85427df1ff014d086af742d860f0cfd5 | 367134ba5a65885e863bdc4507601606690974c1 | /src/topology/algebra/group_completion.lean | 0beb68d02376ec9afcf3f38ebc6e5b6384a81ea2 | [
"Apache-2.0"
] | permissive | kodyvajjha/mathlib | 9bead00e90f68269a313f45f5561766cfd8d5cad | b98af5dd79e13a38d84438b850a2e8858ec21284 | refs/heads/master | 1,624,350,366,310 | 1,615,563,062,000 | 1,615,563,062,000 | 162,666,963 | 0 | 0 | Apache-2.0 | 1,545,367,651,000 | 1,545,367,651,000 | null | UTF-8 | Lean | false | false | 4,737 | lean | /-
Copyright (c) 2018 Patrick Massot. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Patrick Massot, Johannes Hölzl
Completion of topological groups:
-/
import topology.uniform_space.completion
import topology.algebra.uniform_group
noncomputable theory
universes u v
... |
a6a31ecad0316f708246bbbad80a6122e7f7ee09 | 55c7fc2bf55d496ace18cd6f3376e12bb14c8cc5 | /src/data/pnat/factors.lean | 08d7e03b465e6033a636fd1bd9f2d67967a1ec46 | [
"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 | 13,960 | lean | /-
Copyright (c) 2019 Neil Strickland. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Neil Strickland
-/
import data.pnat.basic
import data.multiset.sort
import data.int.gcd
import algebra.group
/-- The type of multisets of prime numbers. Unique factorization
gives a... |
858df2f8953b8950a6e09dbc9ab12ce39233ff34 | 77c5b91fae1b966ddd1db969ba37b6f0e4901e88 | /src/group_theory/submonoid/basic.lean | a4bf838fff9e7ff7f943014a237cab4c258cf0e7 | [
"Apache-2.0"
] | permissive | dexmagic/mathlib | ff48eefc56e2412429b31d4fddd41a976eb287ce | 7a5d15a955a92a90e1d398b2281916b9c41270b2 | refs/heads/master | 1,693,481,322,046 | 1,633,360,193,000 | 1,633,360,193,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 16,177 | lean | /-
Copyright (c) 2018 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Kenny Lau, Johan Commelin, Mario Carneiro, Kevin Buzzard,
Amelia Livingston, Yury Kudryashov
-/
import data.set.lattice
import data.set_like.basic
/-!
# Submonoids: de... |
13869c882973f249d94b723ea2e9f84da943a3b6 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/category_theory/limits/shapes/multiequalizer.lean | 4f9c59a9671de04b2a588bbf1d8276d21d37d9b3 | [
"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 | 13,747 | lean | /-
Copyright (c) 2021 Adam Topaz. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Adam Topaz
-/
import category_theory.limits.has_limits
/-!
# Multi-(co)equalizers
A *multiequalizer* is an equalizer of two morphisms between two products.
Since both products and equal... |
3dafd75e888542cedee39410319e9031b7e6676f | bbecf0f1968d1fba4124103e4f6b55251d08e9c4 | /src/topology/uniform_space/basic.lean | bb4e5293a6b43f7fc743b8e76858fc39b634c319 | [
"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 | 70,747 | 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, Patrick Massot
-/
import order.filter.lift
import topology.separation
/-!
# Uniform spaces
Uniform spaces are a generalization of metric spaces and top... |
32fc7d2d4034b5fe5cf1c8ac6e0200bdad02fb5d | fe84e287c662151bb313504482b218a503b972f3 | /src/combinatorics/square_grid.lean | 66a69c4fe7a524a96541b6b9f25dc06c29671ddd | [] | 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 | 13,966 | lean | import data.fintype.basic
import algebra.power_mod
import group_theory.group_action
import algebra.group_power
import algebra.big_operators
import data.zmod.basic
import tactic.ring tactic.abel
import group_theory.self_map
import group_theory.action_instances
import group_theory.burnside_count
import group_theory.... |
a69dc37087ad98945d4cb8b98e271a4d0ac1e939 | 6dc0c8ce7a76229dd81e73ed4474f15f88a9e294 | /src/Lean/Meta/WHNF.lean | 71914d5ad6c30a31d2decae5490871a423472aa5 | [
"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 | 23,346 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.ToExpr
import Lean.AuxRecursor
import Lean.ProjFns
import Lean.Meta.Basic
import Lean.Meta.LevelDefEq
import Lean.Meta.GetConst
import Lean.Meta... |
365f9654c9ce38f5d2b17a493459e199917c2a2b | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/1372.lean | 634521784a66c9d385ea96342265b66ba1e518d4 | [
"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 | 792 | lean | example (x₁ x₂ y₁ y₂ : Nat) : (x₁ + x₂) + (y₁ + y₂) = (x₁ + y₁) + (x₂ + y₂) := by
calc (x₁ + x₂) + (y₁ + y₂)
= x₁ + (x₂ + (y₁ + y₂)) := by rw [Nat.add_assoc]
_ = x₁ + (y₁ + (x₂ + y₂)) := by rw [Nat.add_left_comm x₂ y₁ y₂]
_ = (x₁ + y₁) + (x₂ + y₂) := by rw [Nat.add_assoc]
example (n x₁ x₂ y₁ y₂ : Nat)... |
2a32b17e53f3e8f81ada0f87a57b63ee05ebb8f4 | 02005f45e00c7ecf2c8ca5db60251bd1e9c860b5 | /src/analysis/calculus/times_cont_diff.lean | b00849920adfa0dbe4c589e024308b86a544c08a | [
"Apache-2.0"
] | permissive | anthony2698/mathlib | 03cd69fe5c280b0916f6df2d07c614c8e1efe890 | 407615e05814e98b24b2ff322b14e8e3eb5e5d67 | refs/heads/master | 1,678,792,774,873 | 1,614,371,563,000 | 1,614,371,563,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 136,287 | 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.calculus.mean_value
import analysis.calculus.formal_multilinear_series
/-!
# Higher differentiability
A function is `C^1` on a domain if it is... |
d19010cf2bc04400b718eb165e3bda7b9b427947 | d9d511f37a523cd7659d6f573f990e2a0af93c6f | /src/analysis/normed_space/exponential.lean | 5a1afca3c5990973c302755afc40e0d8423c0e0a | [
"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 | 27,774 | lean | /-
Copyright (c) 2021 Anatole Dedecker. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Anatole Dedecker
-/
import algebra.char_p.algebra
import analysis.calculus.deriv
import analysis.specific_limits
import data.complex.exponential
import analysis.complex.basic
import ... |
8634ca3657a82cd197220ea32e192ea421fbeda0 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/ring_theory/free_comm_ring.lean | 887264d82f83ed7f894baba39f14a545162deca1 | [
"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 | 14,051 | lean | /-
Copyright (c) 2019 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau, Johan Commelin
-/
import data.mv_polynomial.equiv
import data.mv_polynomial.comm_ring
import logic.equiv.functor
import ring_theory.free_ring
/-!
# Free commutative rings
The t... |
1323a43d883af68581b0a7c98a2a6af082f91d23 | 54deab7025df5d2df4573383df7e1e5497b7a2c2 | /data/list/basic.lean | 41e9315d9e661dfbd5930befcdb9e4fd2f2971dd | [
"Apache-2.0"
] | permissive | HGldJ1966/mathlib | f8daac93a5b4ae805cfb0ecebac21a9ce9469009 | c5c5b504b918a6c5e91e372ee29ed754b0513e85 | refs/heads/master | 1,611,340,395,683 | 1,503,040,489,000 | 1,503,040,489,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 39,410 | 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
Basic properties of lists.
-/
import logic.basic data.nat.basic data.option
open function nat
namespace list
un... |
2b250a3deaf87e531cc16ebdf5da7c1b8195c7df | 8b9f17008684d796c8022dab552e42f0cb6fb347 | /library/data/num.lean | 0209b937ddae5f9fe9d3e0dbc2d2de75167639ae | [
"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 | 17,770 | lean | /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Module: data.num
Author: Leonardo de Moura
-/
import data.bool tools.helper_tactics
open bool eq.ops decidable helper_tactics
namespace pos_num
theorem succ_not_is_one (a : pos_num) ... |
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