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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1e124ba49fc42e2fde56b7a526997f2f1f69e31a | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/algebra/algebra/operations.lean | 21a142b2763f8a47dd1270903c24820c612d4ef4 | [
"Apache-2.0"
] | permissive | Lix0120/mathlib | 0020745240315ed0e517cbf32e738d8f9811dd80 | e14c37827456fc6707f31b4d1d16f1f3a3205e91 | refs/heads/master | 1,673,102,855,024 | 1,604,151,044,000 | 1,604,151,044,000 | 308,930,245 | 0 | 0 | Apache-2.0 | 1,604,164,710,000 | 1,604,163,547,000 | null | UTF-8 | Lean | false | false | 11,572 | lean | /-
Copyright (c) 2019 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau
-/
import algebra.algebra.basic
/-!
# Multiplication and division of submodules of an algebra.
An interface for multiplication and division of sub-R-modules of an R-algebra A is... |
2da0ad4656c2e3aac1c8c360a31b8726e547e123 | 842b7df4a999c5c50bbd215b8617dd705e43c2e1 | /LeanTutorial/LeanDay2.lean | 3b91aca453095ef845be553464e3991e7a05eab8 | [] | no_license | Samyak-Surti/LeanCode | 1c245631f74b00057d20483c8ac75916e8643b14 | 944eac3e5f43e2614ed246083b97fbdf24181d83 | refs/heads/master | 1,669,023,730,828 | 1,595,534,784,000 | 1,595,534,784,000 | 282,037,186 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 606 | lean | def zeroEqualsZero : 0 = 0 := rfl
#check zeroEqualsZero
theorem theorem1 : 2 = 1 + 1 := rfl
#check theorem1
#reduce theorem1
theorem theorem1' : 2 = 1 + 1 := eq.refl 2
#check theorem1'
#reduce theorem1'
theorem theorem2 : tt = tt := rfl
#check theorem2
#reduce theorem2
/- Doesn't work due to memory constraints-/
th... |
f3141a33f28f13f622a046d6ebc0748a0999a842 | 491068d2ad28831e7dade8d6dff871c3e49d9431 | /hott/algebra/category/constructions/product.hlean | 31cfe6c384212d5846195fccabf09661d1c2e59d | [
"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 | 3,215 | 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, Jakob von Raumer
Functor product precategory and (TODO) category
-/
import ..category ..functor hit.trunc
open eq prod is_trunc functor sigma trunc
namespace ca... |
d3a205c5d566d5267a3e50e6aae9f3f7f823bc1d | 453dcd7c0d1ef170b0843a81d7d8caedc9741dce | /order/lattice.lean | 91ec7d880c57927aedb249dd5816f1fb76b2ccec | [
"Apache-2.0"
] | permissive | amswerdlow/mathlib | 9af77a1f08486d8fa059448ae2d97795bd12ec0c | 27f96e30b9c9bf518341705c99d641c38638dfd0 | refs/heads/master | 1,585,200,953,598 | 1,534,275,532,000 | 1,534,275,532,000 | 144,564,700 | 0 | 0 | null | 1,534,156,197,000 | 1,534,156,197,000 | null | UTF-8 | Lean | false | false | 11,565 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
Defines the inf/sup (semi)-lattice with optionally top/bot type class hierarchy.
-/
import order.basic
set_option old_structure_cmd true
universes u v w
-- TODO: mo... |
6655609cee35b4a020c0b4062b5135a0b167243c | d1a52c3f208fa42c41df8278c3d280f075eb020c | /tests/lean/414.lean | 9770bcabf989c9bd914e18a565d65c3c7ddca6fc | [
"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 | 181 | lean | macro_rules (kind := numLit)
| `($n:numLit) => `("world")
#check 2
macro_rules
| `($n:numLit) => `("hello")
#check 2
macro_rules (kind := numLit)
| n => `("boo")
#check 2
|
47a1aad8159c47981487ff6c0dab934f1988ebe7 | 2a70b774d16dbdf5a533432ee0ebab6838df0948 | /_target/deps/mathlib/src/ring_theory/ideal/over.lean | abf600efd003cf6297c0728827d39199d105991d | [
"Apache-2.0"
] | permissive | hjvromen/lewis | 40b035973df7c77ebf927afab7878c76d05ff758 | 105b675f73630f028ad5d890897a51b3c1146fb0 | refs/heads/master | 1,677,944,636,343 | 1,676,555,301,000 | 1,676,555,301,000 | 327,553,599 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 12,152 | lean | /-
Copyright (c) 2020 Anne Baanen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Anne Baanen
-/
import ring_theory.algebraic
import ring_theory.localization
/-!
# Ideals over/under ideals
This file concerns ideals lying over other ideals.
Let `f : R →+* S` be a ring... |
58a3ee640ab5ec125887ec6bc0ac7d70a29dc16f | efa51dd2edbbbbd6c34bd0ce436415eb405832e7 | /20161026_ICTAC_Tutorial/ex44.lean | 465a0d5e08a1651e7cdde6b1b146a909d5969835 | [
"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 | 224 | lean | /- Reflexivity is more powerful than it looks -/
variables (A B : Type)
example (f : A → B) (a : A) : (λ x, f x) a = f a := eq.refl _
example (a : A) (b : A) : (a, b).1 = a := eq.refl _
example : 2 + 3 = 5 := eq.refl _
|
627f8cf334210479668e24f3fcb30744b1fb3c97 | b328e8ebb2ba923140e5137c83f09fa59516b793 | /stage0/src/Lean/Elab/Frontend.lean | 2c5edcb5aecc565bebaf189fa7f766c45356b28e | [
"Apache-2.0"
] | permissive | DrMaxis/lean4 | a781bcc095511687c56ab060e816fd948553e162 | 5a02c4facc0658aad627cfdcc3db203eac0cb544 | refs/heads/master | 1,677,051,517,055 | 1,611,876,226,000 | 1,611,876,226,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,500 | 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... |
335861a85df5898a26ab875060649a5cd6fb1017 | d1a52c3f208fa42c41df8278c3d280f075eb020c | /src/Lean/Elab/Tactic/Conv/Rewrite.lean | 3b904db60faad1aa990fac9fadfb98e828b85128 | [
"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 | 780 | lean | /-
Copyright (c) 2021 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Meta.Tactic.Rewrite
import Lean.Elab.Tactic.Rewrite
import Lean.Elab.Tactic.Conv.Basic
namespace Lean.Elab.Tactic.Conv
open Meta
@[builtinTact... |
2596364e2c6952a8ddbaf9a4416c1b8192dc776a | aa3f8992ef7806974bc1ffd468baa0c79f4d6643 | /library/logic/axioms/default.lean | 4b10fc3b9c94a9c332f99cc5d4c5fcb0a79151e8 | [
"Apache-2.0"
] | permissive | codyroux/lean | 7f8dff750722c5382bdd0a9a9275dc4bb2c58dd3 | 0cca265db19f7296531e339192e9b9bae4a31f8b | refs/heads/master | 1,610,909,964,159 | 1,407,084,399,000 | 1,416,857,075,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 474 | lean | ----------------------------------------------------------------------------------------------------
--- Copyright (c) 2014 Microsoft Corporation. All rights reserved.
--- Released under Apache 2.0 license as described in the file LICENSE.
--- Author: Jeremy Avigad
------------------------------------------------------... |
c6219b5c814e1f160128c907421ed84550208666 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/Lean3Lib/init/meta/set_get_option_tactics_auto.lean | fa58eda7157f35f913bec0b41afecdcce1ccdaa3 | [] | 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 | 278 | 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
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.meta.tactic
namespace Mathlib
namespace tactic
end Mathlib |
4af91737f2300b9ad281dce9c91b14fa5048d775 | 680b0d1592ce164979dab866b232f6fa743f2cc8 | /library/data/bag.lean | c6f423b1cd379f53493f443f2a203bd127c7158b | [
"Apache-2.0"
] | permissive | syohex/lean | 657428ab520f8277fc18cf04bea2ad200dbae782 | 081ad1212b686780f3ff8a6d0e5f8a1d29a7d8bc | refs/heads/master | 1,611,274,838,635 | 1,452,668,188,000 | 1,452,668,188,000 | 49,562,028 | 0 | 0 | null | 1,452,675,604,000 | 1,452,675,602,000 | null | UTF-8 | Lean | false | false | 34,413 | lean | /-
Copyright (c) 2015 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura
Finite bags.
-/
import data.nat data.list.perm algebra.binary
open nat quot list subtype binary function eq.ops
open [decl] perm
variable {A : Type}
definiti... |
c69175f528e5f5830c114cdf7b3f7987ba935038 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/algebra/category/Algebra/basic.lean | f8162553f00407c72988a3432763d09799f80a49 | [
"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 | 5,957 | lean | /-
Copyright (c) 2020 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import algebra.algebra.subalgebra.basic
import algebra.free_algebra
import algebra.category.Ring.basic
import algebra.category.Module.basic
/-!
# Category instance f... |
6ff6d1ead2fdb1b4aaa807911628e629e6fcb383 | 4fa161becb8ce7378a709f5992a594764699e268 | /src/group_theory/perm/sign.lean | a0c33de13be792b1e68a9e34ad70a6f360829217 | [
"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 | 32,592 | 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.fintype.basic
import algebra.big_operators
universes u v
open equiv function fintype finset
open_locale big_operators
variables {α : Type u} {β : Type v}
na... |
d6d9b9e1a92017bada6527cd111ab7d858d3a934 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/tactic_io.lean | cd09b8f2bfead7d65092eeb93e0e39c108e8e7a7 | [
"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 | 229 | lean | import system.io
section
def tst_io : io string :=
do b ← io.fs.read_file "tactic_io.lean",
return b^.to_string
end
open tactic
meta def tac : tactic unit :=
do s ← tactic.unsafe_run_io tst_io,
trace s
run_cmd tac
|
52fffd8dfaddf7b91aad638f7ed1d3a94e010c83 | 30b012bb72d640ec30c8fdd4c45fdfa67beb012c | /analysis/complex.lean | fa8225ea7b21010a4726b485268d1ba911e964a4 | [
"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 | 5,213 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Mario Carneiro
Topology of the complex numbers.
-/
import data.complex.basic analysis.metric_space
noncomputable theory
open filter
namespace complex
-- TODO(Mario): these proofs ar... |
d2e6fc457bf1125d178389c8c73f0ab0201104d2 | c61b91f85121053c627318ad8fcde30dfb8637d2 | /Chapter5/5-7.lean | fb6154e72b5324f3230289bab4e279a4f970e0fc | [] | no_license | robkorn/theorem-proving-in-lean-exercises | 9e2256360eaf6f8df6cdd8fd656e63dfb04c8cdb | 9c51da587105ee047a9db55d52709d881a39be7a | refs/heads/master | 1,585,403,341,988 | 1,540,142,619,000 | 1,540,142,619,000 | 148,431,678 | 2 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,270 | lean |
import data.list.basic
section
variables (x y z : nat) (p : nat → Prop)
variable (h : p (x * y))
example : (x + 0) * (0 + y * 1 + z * 0) = x * y :=
by simp
include h
example : p ((x + 0) * (0 + y * 1 + z * 0)) :=
by { simp, assumption }
end
section
universe u
variable {α : Type}
open list
example (xs : list n... |
1b4be595c7f0be3c5ce0e4a2f7db8d1e8151ba56 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/logic/function/iterate_auto.lean | 853a86e47a258afba39e5f69e128d1b8f20dec5e | [] | 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 | 6,606 | lean | /-
Copyright (c) 2020 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Yury Kudryashov
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.logic.function.conjugate
import Mathlib.PostPort
universes u v
namespace Mathlib
/-!
#... |
734c23290637c78f220901837ab8c86e9fc575df | cf39355caa609c0f33405126beee2739aa3cb77e | /library/init/meta/hole_command.lean | 652212a9cc03879933d6e2748f24ca3903349439 | [
"Apache-2.0"
] | permissive | leanprover-community/lean | 12b87f69d92e614daea8bcc9d4de9a9ace089d0e | cce7990ea86a78bdb383e38ed7f9b5ba93c60ce0 | refs/heads/master | 1,687,508,156,644 | 1,684,951,104,000 | 1,684,951,104,000 | 169,960,991 | 457 | 107 | Apache-2.0 | 1,686,744,372,000 | 1,549,790,268,000 | C++ | UTF-8 | Lean | false | false | 1,972 | lean | /-
Copyright (c) 2017 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
prelude
import init.meta.tactic
/--
The front-end (e.g., Emacs, VS Code) can invoke commands for holes `{! ... !}` in
a declaration. A command is a tactic ... |
56882b11f66fcad53dcdd1cbb26e6bc8809ad88c | 4d3f29a7b2eff44af8fd0d3176232e039acb9ee3 | /LAMR/Util/Propositional/Syntax.lean | 7015deb4376a83b47e1f8a733bfeedbc3e4162c4 | [] | no_license | marijnheule/lamr | 5fc5d69d326ff92e321242cfd7f72e78d7f99d7e | 28cc4114c7361059bb54f407fa312bf38b48728b | refs/heads/main | 1,689,338,013,620 | 1,630,359,632,000 | 1,630,359,632,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 5,641 | lean | import Mathlib
/-
Propositional formulas.
-/
inductive PropForm
| var : String → PropForm
| tr : PropForm
| fls : PropForm
| neg : PropForm → PropForm
| conj : PropForm → PropForm → PropForm
| disj : PropForm → PropForm → PropForm
| impl : PropForm → PropForm → PropForm
| biImpl : P... |
8552f911c7ca7e23e2857da1bd762c7164ef7397 | 6fca17f8d5025f89be1b2d9d15c9e0c4b4900cbf | /src/game/world3/level1.lean | 277b5b1cdb0fb697e2dc9f7689ede0befaf1e767 | [
"Apache-2.0"
] | permissive | arolihas/natural_number_game | 4f0c93feefec93b8824b2b96adff8b702b8b43ce | 8e4f7b4b42888a3b77429f90cce16292bd288138 | refs/heads/master | 1,621,872,426,808 | 1,586,270,467,000 | 1,586,270,467,000 | 253,648,466 | 0 | 0 | null | 1,586,219,694,000 | 1,586,219,694,000 | null | UTF-8 | Lean | false | false | 2,146 | lean | import game.world2.level6 -- hide
import mynat.mul -- import the definition of multiplication on mynat
-- World name : Multiplication world
/- Axiom : mul_zero (a : mynat) :
a * 0 = 0
-/
/- Axiom : mul_succ (a b : mynat) :
a * succ(b) = a * b + a
-/
/-
# Multiplication World
A new import! This import gives you t... |
2cc0e793a81bc3b0c2bd0ae29c513eadf55af851 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/topology/homotopy/contractible.lean | 27eac8247631745f74198697f0b2921f54df1076 | [
"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 | 3,314 | lean | /-
Copyright (c) 2022 Praneeth Kolichala. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Praneeth Kolichala
-/
import topology.homotopy.path
import topology.homotopy.equiv
/-!
# Contractible spaces
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this fil... |
c303ce6994a26be4bdab277412d416135253c76b | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/262.lean | 2ab641808ef3c2b073619b0ed5741e405e81be6f | [
"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 | 245 | lean | mutual
inductive ConE : Type where
| nilE : ConE
| extE : ConE → TyE → ConE
inductive TyE : Type where
| UE : ConE → TyE
end
def length (ΓE : ConE) : Nat :=
match ΓE with
| ConE.nilE => 0
| ConE.extE ΓE AE => (length ΓE) + 1
|
cb8ea94b4a349aef35685af6ee2b4c4c2c91923e | b00eb947a9c4141624aa8919e94ce6dcd249ed70 | /src/Lean/Data/Name.lean | 92334a9d56bf2f5825d6013d99ff09ff01b66046 | [
"Apache-2.0"
] | permissive | gebner/lean4-old | a4129a041af2d4d12afb3a8d4deedabde727719b | ee51cdfaf63ee313c914d83264f91f414a0e3b6e | refs/heads/master | 1,683,628,606,745 | 1,622,651,300,000 | 1,622,654,405,000 | 142,608,821 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 5,476 | lean | /-
Copyright (c) 2018 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura
-/
import Std.Data.HashSet
import Std.Data.RBMap
import Std.Data.RBTree
namespace Lean
instance : Coe String Name := ⟨Name.mkSimple⟩
namespace Name
@[export ... |
651d41d49ff006bc1b08aafcf4a2b802e8e44859 | 55c7fc2bf55d496ace18cd6f3376e12bb14c8cc5 | /src/geometry/manifold/times_cont_mdiff.lean | fa6b75f8a7a62031c5aa12c7e5e269e38c80b755 | [
"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 | 51,458 | lean | /-
Copyright (c) 2020 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import geometry.manifold.mfderiv
import geometry.manifold.local_invariant_properties
/-!
# Smooth functions between smooth manifolds
We define `Cⁿ` functions... |
91c20e570210c334c4797a7ea3a97f1bfdac035d | 4b846d8dabdc64e7ea03552bad8f7fa74763fc67 | /tests/lean/interactive/field_info.lean | e6fb9edd44bc8daff937377962dc7f3044682bf3 | [
"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 | 148 | lean | def f (n : ℕ) := n^.to_string
--^ "command": "info"
def g (l : list ℕ) := l^.all
--^ "command": "info"
|
06dbfa003a3a6ad9935b265a9f6c0fc2800416e7 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/analysis/normed_space/add_torsor.lean | 6d14953250ea07277d7182941859f378f8fbe746 | [
"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 | 12,949 | lean | /-
Copyright (c) 2020 Joseph Myers. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Myers, Yury Kudryashov
-/
import analysis.normed_space.basic
import linear_algebra.affine_space.midpoint
import topology.instances.real_vector_space
/-!
# Torsors of additive nor... |
6240cc514739c73ceadb8cffd8f75d9fb8e3aa47 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/analysis/calculus/fderiv/restrict_scalars.lean | d414c3f156487d7ed8921beb5b091d5c879511be | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 4,392 | lean | /-
Copyright (c) 2019 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Sébastien Gouëzel, Yury Kudryashov
-/
import analysis.calculus.fderiv.basic
/-!
# The derivative of the scalar restriction of a linear map
> THIS FILE IS SYNCHRONIZED W... |
20ee2da3d00705b73c91063f630249d036ff5e3c | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/data/fin2_auto.lean | 171e4183d1a55d24e7a3198f30ecd147efb20403 | [] | no_license | AurelienSaue/Mathlib4_auto | f538cfd0980f65a6361eadea39e6fc639e9dae14 | 590df64109b08190abe22358fabc3eae000943f2 | refs/heads/master | 1,683,906,849,776 | 1,622,564,669,000 | 1,622,564,669,000 | 371,723,747 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,769 | 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 Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.PostPort
universes l u
namespace Mathlib
/-- An alternate definition of `fin n` defined... |
be9db6c3fe77e7f13d72cd95e80db9010bde14d0 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/algebra/continued_fractions/convergents_equiv.lean | d3a521d88eff7dc0ea11f51ab7ad5d8bce70a9d7 | [
"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 | 19,944 | 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.continuants_recurrence
import algebra.continued_fractions.terminated_stable
import tactic.linarith
import tactic.field_simp
/-... |
50e2b79399deaee9ad2e0f4f84e8a59266e06100 | 5f83eb0c32f15aeed5993a3ad5ededb6f31fe7aa | /lean/attic/bitvec-ind/bv/lemmas.lean | cf41e0233349df657fe31d6643700cc8457b7993 | [] | no_license | uw-unsat/jitterbug | 45b54979b156c0f5330012313052f8594abd6f14 | 78d1e75ad506498b585fbac66985ff9d9d05952d | refs/heads/master | 1,689,066,921,433 | 1,687,061,448,000 | 1,688,415,161,000 | 244,440,882 | 46 | 5 | null | null | null | null | UTF-8 | Lean | false | false | 25,110 | lean |
import .basic
import .helper
namespace num
@[simp]
lemma bodd_to_nat (n : num) : num.bodd n = nat.bodd n :=
begin
cases n with n,
{ refl },
{ cases n; simp [num.bodd]; refl }
end
@[simp]
lemma div2_to_nat (n : num) : (n.div2 : ℕ) = nat.div2 n :=
begin
cases n with n,
{ refl },
{ cases n; simp [num.div2]... |
ea04fbb62834b8a10034b3bc855bc9ba1b3920db | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/tactic/tauto.lean | a60aa9e761a1d671a6b4c30b2c606bfb98623845 | [] | no_license | AurelienSaue/Mathlib4_auto | f538cfd0980f65a6361eadea39e6fc639e9dae14 | 590df64109b08190abe22358fabc3eae000943f2 | refs/heads/master | 1,683,906,849,776 | 1,622,564,669,000 | 1,622,564,669,000 | 371,723,747 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,518 | lean | /-
Copyright (c) 2018 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.tactic.hint
import Mathlib.PostPort
namespace Mathlib
namespace tactic
/--
find all assumpt... |
d3857d1556e5c3f49e9ca33ee304a1bd96e0c208 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/deq.lean | 65f61fe2d6bac4743123388ae5d2c03e7ca0cb7f | [
"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 | 922 | lean | inductive LazyList (α : Type u)
| nil : LazyList α
| cons (hd : α) (tl : LazyList α) : LazyList α
| delayed (t : Thunk (LazyList α)) : LazyList α
namespace LazyList
def force : LazyList α → Option (α × LazyList α)
| delayed as => force as.get
| nil => none
| cons a as => some (a,as)
end LazyList
def deq (Q ... |
41487d8edf910fa1b53ae15fcb311049f5700cc6 | c5b07d17b3c9fb19e4b302465d237fd1d988c14f | /src/functors/generating.lean | 95d03b219c60a94349cfee6d1b3df2de91ec8772 | [
"MIT"
] | permissive | skaslev/papers | acaec61602b28c33d6115e53913b2002136aa29b | f15b379f3c43bbd0a37ac7bb75f4278f7e901389 | refs/heads/master | 1,665,505,770,318 | 1,660,378,602,000 | 1,660,378,602,000 | 14,101,547 | 0 | 1 | MIT | 1,595,414,522,000 | 1,383,542,702,000 | Lean | UTF-8 | Lean | false | false | 4,207 | lean | -- Analytic combinatorics[1,2] is a wonderful subject for analyzing large
-- combinatorial structures using methods from complex analysis.
-- This is an attempt to formalize some of the ideas in Lean.
-- [1] https://aofa.cs.princeton.edu/home
-- [2] http://algo.inria.fr/flajolet/Publications/book.pdf
import data.iso
i... |
9e5489541d912cd6c251a53eb853ff559fc45856 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/sigma_match.lean | a4d3ebfd150d6f53a7d4bf5d3c8eb09a86e9f88e | [
"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 | 848 | lean | open sigma
constant {l₁ l₂} hom {A : Type l₁} {B : Type l₂} (a : A) (b : B) : Type (max l₁ l₂)
attribute [reducible]
noncomputable definition arrow_ob (A B : Type) : Type :=
Σ (a : A) (b : B), hom a b
noncomputable definition src1 {A B : Type} (x : arrow_ob A B) : A :=
match x with
(sigma.mk a (sigma.mk b h)) := a... |
015ecb257dc992f4cf3d02ae5412776ffaea5274 | 26ac254ecb57ffcb886ff709cf018390161a9225 | /src/topology/constructions.lean | e272cdfbc27cd1fb5ae2e3db3a4916c92f86ac61 | [
"Apache-2.0"
] | permissive | eric-wieser/mathlib | 42842584f584359bbe1fc8b88b3ff937c8acd72d | d0df6b81cd0920ad569158c06a3fd5abb9e63301 | refs/heads/master | 1,669,546,404,255 | 1,595,254,668,000 | 1,595,254,668,000 | 281,173,504 | 0 | 0 | Apache-2.0 | 1,595,263,582,000 | 1,595,263,581,000 | null | UTF-8 | Lean | false | false | 33,631 | 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 topology.maps
/-!
# Constructions of new topological spaces from old ones
This file constructs products, sums, subtypes and q... |
515ce1cfa450fde96b64d1d5691acfdac2de06c4 | 4efff1f47634ff19e2f786deadd394270a59ecd2 | /src/order/omega_complete_partial_order.lean | 11ac6ca1f06daedb09ec94ff26bac8a315b0cae7 | [
"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 | 27,159 | lean | /-
Copyright (c) 2020 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Simon Hudon
-/
import data.pfun
import order.preorder_hom
import tactic.wlog
/-!
# Omega Complete Partial Orders
An omega-complete partial order is a partial order with a supremum
operat... |
738e89c5e9ded1a8d7de63cf7c3ddc0917f67c7a | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/Lean/Meta/Tactic/Congr.lean | 90cfb6affe3f60eaf80aafb7972a3009e99d77d2 | [
"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 | 4,645 | 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.Meta.CongrTheorems
import Lean.Meta.Tactic.Assert
import Lean.Meta.Tactic.Apply
import Lean.Meta.Tactic.Clear
import Lean.Meta.Tactic.Refl
impor... |
63b52c6c7315d54ba58949ff25a479df65d54f61 | cc62cd292c1acc80a10b1c645915b70d2cdee661 | /src/category_theory/examples/graphs.lean | c327ab2f91c398c384b67d16c360316565d85872 | [] | no_license | RitaAhmadi/lean-category-theory | 4afb881c4b387ee2c8ce706c454fbf9db8897a29 | a27b4ae5eac978e9188d2e867c3d11d9a5b87a9e | refs/heads/master | 1,651,786,183,402 | 1,565,604,314,000 | 1,565,604,314,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,204 | lean | -- Copyright (c) 2017 Scott Morrison. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Authors: Scott Morrison
import category_theory.category
import category_theory.graphs
open category_theory
open category_theory.graphs
namespace category_theory.examples.graphs
univer... |
4ee9b30fb4bc9e8dfbfabec070bc13a48777a818 | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /tests/lean/run/inj1.lean | 413063df6ab28e5cbb1cdb60b6d9ac220114b4a3 | [
"Apache-2.0",
"LLVM-exception",
"NCSA",
"LGPL-3.0-only",
"LicenseRef-scancode-inner-net-2.0",
"BSD-3-Clause",
"LGPL-2.0-or-later",
"Spencer-94",
"LGPL-2.1-or-later",
"HPND",
"LicenseRef-scancode-pcre",
"ISC",
"LGPL-2.1-only",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | EdAyers/lean4 | 57ac632d6b0789cb91fab2170e8c9e40441221bd | 37ba0df5841bde51dbc2329da81ac23d4f6a4de4 | refs/heads/master | 1,676,463,245,298 | 1,660,619,433,000 | 1,660,619,433,000 | 183,433,437 | 1 | 0 | Apache-2.0 | 1,657,612,672,000 | 1,556,196,574,000 | Lean | UTF-8 | Lean | false | false | 918 | lean |
theorem test1 {α} (a b : α) (as bs : List α) (h : a::as = b::bs) : a = b :=
by {
injection h;
assumption;
}
theorem test2 {α} (a b : α) (as bs : List α) (h : a::as = b::bs) : a = b :=
by {
injection h with h1 h2;
exact h1
}
theorem test3 {α} (a b : α) (as bs : List α) (h : (x : List α) → (y : List α) → x = ... |
2fc2cba879f49591b2e39247a668965ee7f4f7ad | bb31430994044506fa42fd667e2d556327e18dfe | /src/geometry/manifold/instances/sphere.lean | 1ad1ee1abe08f4c98ad3267d6bab286148dbad87 | [
"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 | 25,872 | lean | /-
Copyright (c) 2021 Heather Macbeth. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Heather Macbeth
-/
import analysis.complex.circle
import analysis.normed_space.ball_action
import analysis.inner_product_space.calculus
import analysis.inner_product_space.pi_L2
impor... |
a8fc98ef8471b6c7d2e3bea319cb0bb5174dde21 | a45212b1526d532e6e83c44ddca6a05795113ddc | /src/data/int/modeq.lean | 728f64ce1b5247a001bf197a7a5bd5eda7e692e8 | [
"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 | 6,017 | 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
namespace int
def modeq (n a b : ℤ) := a % n = b % n
notation a ` ≡ `:50 b ` [ZMOD `:50 n `]`:0 := modeq n a b
namespace modeq
v... |
a8822b658021e60d21be27d74ae70579fdf8019b | c61b91f85121053c627318ad8fcde30dfb8637d2 | /Chapter2/2-1.lean | 2ebcd76b49e6e2856ce82433ae90ff46633e587f | [] | no_license | robkorn/theorem-proving-in-lean-exercises | 9e2256360eaf6f8df6cdd8fd656e63dfb04c8cdb | 9c51da587105ee047a9db55d52709d881a39be7a | refs/heads/master | 1,585,403,341,988 | 1,540,142,619,000 | 1,540,142,619,000 | 148,431,678 | 2 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,109 | lean | /- declare some constants -/
constant m : nat -- m is a natural number
constant n : nat
constants b1 b2 : bool -- declare two constants at once
constant t : int
/- check their types -/
#check m -- output: nat
#check n
#check n + 0 -- nat
#check m * (n + 0)-- nat
#check b1 -- bool
#check b1 && b2 -- "&&" is... |
62fdc4c89a844ab95b0ba867f7546157e22778c9 | bbecf0f1968d1fba4124103e4f6b55251d08e9c4 | /src/ring_theory/algebraic_independent.lean | 88ef89d4296c007cca2bb6f70669bdc9b9dbf872 | [
"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 | 21,037 | lean | /-
Copyright (c) 2021 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes
-/
import ring_theory.adjoin.basic
import linear_algebra.linear_independent
import ring_theory.mv_polynomial.basic
import data.mv_polynomial.supported
import ring_theory.alg... |
cc098dc9bb23876600787980cb43d01c8ba7f201 | 75db7e3219bba2fbf41bf5b905f34fcb3c6ca3f2 | /hott/types/fin.hlean | 4d2be9265f7892c6faf0b11bd27940288386cc44 | [
"Apache-2.0"
] | permissive | jroesch/lean | 30ef0860fa905d35b9ad6f76de1a4f65c9af6871 | 3de4ec1a6ce9a960feb2a48eeea8b53246fa34f2 | refs/heads/master | 1,586,090,835,348 | 1,455,142,203,000 | 1,455,142,277,000 | 51,536,958 | 1 | 0 | null | 1,455,215,811,000 | 1,455,215,811,000 | null | UTF-8 | Lean | false | false | 20,997 | hlean | /-
Copyright (c) 2015 Haitao Zhang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Haitao Zhang, Leonardo de Moura, Jakob von Raumer
Finite ordinal types.
-/
import types.list algebra.group function logic types.prod types.sum
open eq nat function list equiv is_trunc a... |
b201a698b8d37963319ea3695877232556440170 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/set_theory/game.lean | 129f3810b3526dda088f2ef2a2e15f1c15385b63 | [
"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 | 24,880 | lean | /-
Copyright (c) 2019 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Reid Barton, Mario Carneiro, Isabel Longbottom, Scott Morrison, Apurva Nakade
-/
import set_theory.pgame
import tactic.abel
/-!
# Combinatorial games.
In this file we define the quot... |
fd501690f58c5b81f1c4dd06536338d02a1f648b | 5d76f062116fa5bd22eda20d6fd74da58dba65bb | /src/proof_system.lean | e230b4cf57d530953d2a08aa976065dcb89c8181 | [] | no_license | brando90/formal_baby_snark | 59e4732dfb43f97776a3643f2731262f58d2bb81 | 4732da237784bd461ff949729cc011db83917907 | refs/heads/master | 1,682,650,246,414 | 1,621,103,975,000 | 1,621,103,975,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,273 | lean |
import algebra.field
import algebra.polynomial.big_operators -- correct import?
open_locale big_operators
section
/-!
This file contains classes for noninteractive proof systems.
-/
universe u
/-- The finite field parameter of our SNARK -/
parameter {F : Type u}
parameter [field F]
-- The types of the statement... |
ff3d92eea8cb9ab5d1752eb3f534a279d0734b35 | 592ee40978ac7604005a4e0d35bbc4b467389241 | /Library/generated/mathscheme-lean/BoundedModularLattice.lean | 3be2acc3e7b431c58fd660360c9f3db127a5112a | [] | no_license | ysharoda/Deriving-Definitions | 3e149e6641fae440badd35ac110a0bd705a49ad2 | dfecb27572022de3d4aa702cae8db19957523a59 | refs/heads/master | 1,679,127,857,700 | 1,615,939,007,000 | 1,615,939,007,000 | 229,785,731 | 4 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 13,979 | lean | import init.data.nat.basic
import init.data.fin.basic
import data.vector
import .Prelude
open Staged
open nat
open fin
open vector
section BoundedModularLattice
structure BoundedModularLattice (A : Type) : Type :=
(times : (A → (A → A)))
(plus : (A → (A → A)))
(commutative_times : (∀ {x y : ... |
f049f29e63b1d5fa43f3dbc0554035a9e0ddd70b | 5ae26df177f810c5006841e9c73dc56e01b978d7 | /src/topology/Top/adjunctions.lean | b8a82a08dd70c4f769f5e36f2cf7333baee6a94e | [
"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 | 840 | lean | /-
Copyright (c) 2017 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Patrick Massot, Mario Carneiro
-/
import topology.Top.basic
import category_theory.adjunction.basic
universe u
open category_theory
open Top
namespace Top
def adj₁ : discrete ⊣ for... |
c67aabeb1741506de66d0388f87b5401da3977bc | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/diamond2.lean | 993e41706045f0e41da9950583d72effa826e712 | [
"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 | 526 | lean | set_option structureDiamondWarning false
class Foo (α : Type) extends Add α where
zero : α
class FooComm (α : Type) extends Foo α where
comm (a b : α) : a + b = b + a
class FooAssoc (α : Type) extends Foo α, Mul α where
add_assoc (a b c : α) : (a + b) + c = a + (b + c)
mul_assoc (a b c : α) : (a * b) * c = a... |
3c8722a575fa2125496a2107e904b65725f443b7 | 02005f45e00c7ecf2c8ca5db60251bd1e9c860b5 | /src/computability/turing_machine.lean | a84f8a3bbc8082e72d8101583667d7d6d9ad0294 | [
"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 | 109,920 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Mario Carneiro
-/
import algebra.order
import data.fintype.basic
import data.pfun
import tactic.apply_fun
import logic.function.iterate
/-!
# Turing machines
This file defines a seque... |
a96b7406798f69e5d0947a0825a73298189b896d | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/algebraic_geometry/function_field.lean | 838621d04d50b64449efe42ef2a6a8342bc21827 | [
"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 | 8,178 | lean | /-
Copyright (c) 2022 Andrew Yang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Andrew Yang
-/
import algebraic_geometry.properties
/-!
# Function field of integral schemes
We define the function field of an irreducible scheme as the stalk of the generic point.
Thi... |
a7d381a2fb027799c3146c8dc3858e183d6b98c1 | 4b846d8dabdc64e7ea03552bad8f7fa74763fc67 | /library/data/stream.lean | f7e75add8686ad9b80f1224adfc67dc6db8e88a1 | [
"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 | 21,354 | lean | /-
Copyright (c) 2015 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura
-/
open nat function option
universes u v w
def stream (α : Type u) := nat → α
namespace stream
variables {α : Type u} {β : Type v} {δ : Type w}
def cons (a ... |
08c0cd0add33e029381172c6b60c19c3eaf47b03 | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /library/logic/weak_fan.lean | 4987067cf6f86e6974d03c3d186ee0cc4af4d462 | [
"Apache-2.0"
] | permissive | soonhokong/lean-osx | 4a954262c780e404c1369d6c06516161d07fcb40 | 3670278342d2f4faa49d95b46d86642d7875b47c | refs/heads/master | 1,611,410,334,552 | 1,474,425,686,000 | 1,474,425,686,000 | 12,043,103 | 5 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 4,908 | lean | /-
Copyright (c) 2015 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura
This file is based on Coq's WeakFan.v file
A constructive proof of a non-standard version of the weak Fan Theorem
in the formulation of which infinite paths a... |
2621986e6db2106118de98059deabb61ef24dc95 | 75db7e3219bba2fbf41bf5b905f34fcb3c6ca3f2 | /library/data/set/map.lean | 0bd14349041a70eeb63f0f993b82fe5cc3c95015 | [
"Apache-2.0"
] | permissive | jroesch/lean | 30ef0860fa905d35b9ad6f76de1a4f65c9af6871 | 3de4ec1a6ce9a960feb2a48eeea8b53246fa34f2 | refs/heads/master | 1,586,090,835,348 | 1,455,142,203,000 | 1,455,142,277,000 | 51,536,958 | 1 | 0 | null | 1,455,215,811,000 | 1,455,215,811,000 | null | UTF-8 | Lean | false | false | 6,177 | 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
Functions between subsets of finite types, bundled with the domain and range.
-/
import data.set.function
open eq.ops
namespace set
record map {X Y : Ty... |
6a7d08bd528ce526fb88331f70cc6adc298559c6 | ff5230333a701471f46c57e8c115a073ebaaa448 | /library/init/category/except.lean | 4a9e42479c054c8c91ff447e9db886438c7e3448 | [
"Apache-2.0"
] | permissive | stanford-cs242/lean | f81721d2b5d00bc175f2e58c57b710d465e6c858 | 7bd861261f4a37326dcf8d7a17f1f1f330e4548c | refs/heads/master | 1,600,957,431,849 | 1,576,465,093,000 | 1,576,465,093,000 | 225,779,423 | 0 | 3 | Apache-2.0 | 1,575,433,936,000 | 1,575,433,935,000 | null | UTF-8 | Lean | false | false | 5,229 | 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.category.alternative init.category.lift
universes u v w
inductive except (ε : Type u) (α ... |
13795a801ccd65d35a2d06953f45309d03f526a8 | 92b50235facfbc08dfe7f334827d47281471333b | /hott/types/eq.hlean | f53196dc7eb9b21c73646180213083828b38f94e | [
"Apache-2.0"
] | permissive | htzh/lean | 24f6ed7510ab637379ec31af406d12584d31792c | d70c79f4e30aafecdfc4a60b5d3512199200ab6e | refs/heads/master | 1,607,677,731,270 | 1,437,089,952,000 | 1,437,089,952,000 | 37,078,816 | 0 | 0 | null | 1,433,780,956,000 | 1,433,780,955,000 | null | UTF-8 | Lean | false | false | 18,085 | hlean | /-
Copyright (c) 2014 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Floris van Doorn
Partially ported from Coq HoTT
Theorems about path types (identity types)
-/
open eq sigma sigma.ops equiv is_equiv equiv.ops
-- TODO: Rename transport_eq_... and ... |
78372b6f21dbaf564f47df585ffabc88009a5921 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/combinatorics/simple_graph/basic.lean | 79a8aff3c977bdfa92bbc15246487dad3aea6412 | [
"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 | 50,979 | lean | /-
Copyright (c) 2020 Aaron Anderson, Jalex Stark, Kyle Miller. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Aaron Anderson, Jalex Stark, Kyle Miller, Alena Gusakov, Hunter Monroe
-/
import data.rel
import data.set.finite
import data.sym.sym2
/-!
# Simple graphs
Th... |
cd2bccfe0086bdc0b92a2ab1f81514b964c0673f | 30b012bb72d640ec30c8fdd4c45fdfa67beb012c | /ring_theory/associated.lean | 652f5adf5a7c16dd91a284f8261607bd75b860cd | [
"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 | 21,858 | lean | /-
Copyright (c) 2018 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Jens Wagemaker
Associated and irreducible elements.
-/
import order.galois_connection algebra.group data.equiv.basic data.multiset data.int.gcd
variables {α : Type*} ... |
7ab464bf36d4d89461d4c8445bec87f7423e58b0 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/Lean/Compiler/IR/ElimDeadVars.lean | fe4b421fbeca516325e34a249024e17b7a84d80a | [
"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 | 1,607 | 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.Compiler.IR.Basic
import Lean.Compiler.IR.FreeVars
namespace Lean.IR
partial def reshapeWithoutDead (bs : Array FnBody) (term : FnBody) : FnBo... |
b79247e7d49a2b02c86f829489dd27bf796dcbe1 | a4673261e60b025e2c8c825dfa4ab9108246c32e | /src/Lean/Parser/Syntax.lean | c2e33239369a8d6e59b4e4d3cb787f94716b566f | [
"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 | 4,621 | 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.Parser.Command
import Lean.Parser.Tactic
namespace Lean
namespace Parser
builtin_initialize
registerBuiltinParserAttribut... |
0a0395fa782733fbcec689bcb3874b4035756fc7 | 4fa161becb8ce7378a709f5992a594764699e268 | /src/order/complete_lattice.lean | a3d20798b60c1738219f75597c005cfd1568a6fe | [
"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 | 35,647 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
Theory of complete lattices.
-/
import order.bounds
set_option old_structure_cmd true
open set
universes u v w w₂
variables {α : Type u} {β : Type v} {ι : Sort w} {ι₂... |
f16d0b78c4767f92990985f382f17d7aadadb465 | 82e44445c70db0f03e30d7be725775f122d72f3e | /src/data/nat/pairing.lean | 3440d3372f9926f55f44ee2d0298b4cdf9f176f3 | [
"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 | 4,328 | lean | /-
Copyright (c) 2015 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura, Mario Carneiro
-/
import data.nat.sqrt
import data.set.lattice
/-!
# Naturals pairing function
This file defines a pairing function for the naturals as fol... |
3e083c2dd748c52f299b1e85aaf96c322ab1c816 | 367134ba5a65885e863bdc4507601606690974c1 | /src/topology/algebra/module.lean | c07ff72977acb7c0b96d59f4c77557712528e1b1 | [
"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 | 59,266 | lean | /-
Copyright (c) 2019 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jan-David Salchow, Sébastien Gouëzel, Jean Lo, Yury Kudryashov
-/
import topology.algebra.ring
import topology.uniform_space.uniform_embedding
import algebra.algebra.basic
import li... |
c6ef59127045602d92d429da1761835eafff7334 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/comment.lean | 24aa2d3ad215834e6665d248c2a355e2facad8c5 | [
"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 | 192 | lean | /- tests -/
/- /- /- nested comment blocks -/ -/ -/
/-- /- /- nested comment blocks in a docstring -/ -/ -/
example : true := trivial
/-! /- /- nested comment blocks in a module block-/ -/ -/
|
edb3a27224e1a145fba73b181d6504078a004c8f | 592ee40978ac7604005a4e0d35bbc4b467389241 | /Library/generated/mathscheme-lean/LeftDistributiveMagma.lean | 2273eeadad3514d08d1c79f1f69c93011b08ee35 | [] | no_license | ysharoda/Deriving-Definitions | 3e149e6641fae440badd35ac110a0bd705a49ad2 | dfecb27572022de3d4aa702cae8db19957523a59 | refs/heads/master | 1,679,127,857,700 | 1,615,939,007,000 | 1,615,939,007,000 | 229,785,731 | 4 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 6,530 | lean | import init.data.nat.basic
import init.data.fin.basic
import data.vector
import .Prelude
open Staged
open nat
open fin
open vector
section LeftDistributiveMagma
structure LeftDistributiveMagma (A : Type) : Type :=
(op : (A → (A → A)))
(leftDistributive : (∀ {x y z : A} , (op x (op y z)) = (op (op x... |
7cc5846867941dd944a40d3ab0fe07cd8204f604 | 947fa6c38e48771ae886239b4edce6db6e18d0fb | /src/topology/fiber_bundle.lean | 821fc8a1f5b7b61c227318cc3e04d97cdf5a7042 | [
"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 | 63,526 | lean | /-
Copyright (c) 2019 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import data.bundle
import topology.algebra.order.basic
import topology.local_homeomorph
/-!
# Fiber bundles
A topological fiber bundle with fiber `F` over a b... |
f7fb3a1650c078461ebd1a3cc3531ec08e915b0e | bbecf0f1968d1fba4124103e4f6b55251d08e9c4 | /archive/oxford_invariants/2021summer/week3_p1.lean | 0b222b028ed247ea715f53d310c9a105f2898c33 | [
"Apache-2.0"
] | permissive | waynemunro/mathlib | e3fd4ff49f4cb43d4a8ded59d17be407bc5ee552 | 065a70810b5480d584033f7bbf8e0409480c2118 | refs/heads/master | 1,693,417,182,397 | 1,634,644,781,000 | 1,634,644,781,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 6,760 | lean | /-
Copyright (c) 2021 Yaël Dillies, Bhavik Mehta. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yaël Dillies, Bhavik Mehta
-/
import algebra.big_operators.order
import algebra.big_operators.ring
/-!
# The Oxford Invariants Puzzle Challenges - Summer 2021, Week 3, Pro... |
a64620de55fc7434b0f5ab6c7184627aff988890 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/compiler/lazylist.lean | 95621556060648bd64d31d3a09a5b13bba223432 | [
"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 | 4,022 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura
-/
universe u v w
inductive LazyList (α : Type u) where
| nil : LazyList α
| cons (hd : α) (tl : LazyList α) : LazyList α
... |
60e3f52019a84670b7577a2b5ecaaf8bc9be2dbc | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/ring_theory/witt_vector/teichmuller.lean | 81e9289af99cf10978c545c9972cbadbdaa4fa5c | [
"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 | 4,466 | 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 ring_theory.witt_vector.basic
/-!
# Teichmüller lifts
This file defines `witt_vector.teichmuller`, a monoid hom `R →* 𝕎 R`, which embeds `r : R` as the
`0`... |
29ef75a3a707827b73a546c2c6404f20112602b3 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/order/rel_iso.lean | aa48961a89d7f8791dc65143c965be74839faea0 | [
"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 | 28,756 | 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 algebra.group.defs
import data.fun_like.basic
import logic.embedding
import logic.equiv.set
import order.rel_classes
/-!
# Relation homomorphisms, embeddings,... |
70464e084fe114b1370fb1358b174d1da087018f | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/tactic/linarith/preprocessing_auto.lean | b0f6d6fe3703baabd31b73448f572ed0f072787f | [] | 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 | 1,277 | lean | /-
Copyright (c) 2020 Robert Y. Lewis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Robert Y. Lewis
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.tactic.linarith.datatypes
import Mathlib.tactic.zify
import Mathlib.tactic.cancel_denoms
... |
e7e3982d3c0a1ca268e375da3d29fca6dc748d03 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/analysis/locally_convex/balanced_core_hull.lean | 6b962ff17cc7a39135b923d7d05b50131772de63 | [
"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 | 11,140 | lean | /-
Copyright (c) 2022 Moritz Doll. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Moritz Doll
-/
import analysis.locally_convex.basic
import order.closure
/-!
# Balanced Core and Balanced Hull
## Main definitions
* `balanced_core`: The largest balanced subset of a s... |
df9251ae7e162df4180af87537739c14f4bff654 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/data/nat/cast/defs.lean | 4d0f0c673bcf52cb52da75761aec15d6ae809a2e | [
"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 | 5,783 | lean | /-
Copyright (c) 2014 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Gabriel Ebner
-/
import algebra.group.basic
/-!
# Cast of natural numbers
This file defines the *canonical* homomorphism from the natural numbers into an
`add_monoid`... |
efb37a917e76bfdaa215e32f98ddca34472ca0c2 | 46125763b4dbf50619e8846a1371029346f4c3db | /src/tactic/rename_var.lean | 142b2f3110bd1fdceb609ebb1a23b324dc14d3a7 | [
"Apache-2.0"
] | permissive | thjread/mathlib | a9d97612cedc2c3101060737233df15abcdb9eb1 | 7cffe2520a5518bba19227a107078d83fa725ddc | refs/heads/master | 1,615,637,696,376 | 1,583,953,063,000 | 1,583,953,063,000 | 246,680,271 | 0 | 0 | Apache-2.0 | 1,583,960,875,000 | 1,583,960,875,000 | null | UTF-8 | Lean | false | false | 2,052 | lean | /-
Copyright (c) 2019 Patrick Massot. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Patrick Massot
-/
import tactic.interactive
/-!
# Rename bound variable tactic
This files defines a tactic `rename_var` whose main purpose is to teach
renaming of bound variables.
... |
042bb123a108fa668c96cd9139a7485febe2bd98 | ac2987d8c7832fb4a87edb6bee26141facbb6fa0 | /Mathlib/Function.lean | 4ec3edb4964785ac2bdd567b0f2ba94be6473ffe | [
"Apache-2.0"
] | permissive | AurelienSaue/mathlib4 | 52204b9bd9d207c922fe0cf3397166728bb6c2e2 | 84271fe0875bafdaa88ac41f1b5a7c18151bd0d5 | refs/heads/master | 1,689,156,096,545 | 1,629,378,840,000 | 1,629,378,840,000 | 389,648,603 | 0 | 0 | Apache-2.0 | 1,627,307,284,000 | 1,627,307,284,000 | null | UTF-8 | Lean | false | false | 5,681 | 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, Jeremy Avigad, Haitao Zhang
-/
-- a port of core Lean `init/function.lean`
/-!
# General operations on functions
-/
namespace Function
variable {α : Sort u₁... |
d42cbafa6d10bbcd40f70fcc93d3f95caf6004fc | dac4e6671410f506c880986cbb2212dd7f5b3dfd | /folklore/submodule.lean | e13081f787536493e7d6744820c900c1593481c4 | [
"CC-BY-4.0"
] | permissive | thalesant/formalabstracts-2018 | e6ddfe8b3ce5c6f055ddcccf345bf55c41f850c1 | d206dfa32a6b4a84aacc3a5500a144757e6d3454 | refs/heads/master | 1,642,678,879,231 | 1,561,648,713,000 | 1,561,648,713,000 | 97,608,420 | 1 | 0 | null | 1,564,063,995,000 | 1,500,388,250,000 | Lean | UTF-8 | Lean | false | false | 568 | lean |
import .banach
noncomputable theory
open set filter classical
local attribute [instance] prop_decidable
universes u v w
namespace substructure
variable { α : Type u}
class sub_add_comm_group [add_comm_group α] (D : set α) :=
(nonempty : ∃ (x : α), x ∈ D)
(closure_group : ∀ (x y : α), x ∈ D ∧ y ∈ D → x -... |
01de168b5530036fd5bca31532942ba21dce2a5b | b2e508d02500f1512e1618150413e6be69d9db10 | /src/data/equiv/algebra.lean | 5e4dad4a9d8d33c2f80e890d5479003eeeb64bbc | [
"Apache-2.0"
] | permissive | callum-sutton/mathlib | c3788f90216e9cd43eeffcb9f8c9f959b3b01771 | afd623825a3ac6bfbcc675a9b023edad3f069e89 | refs/heads/master | 1,591,371,888,053 | 1,560,990,690,000 | 1,560,990,690,000 | 192,476,045 | 0 | 0 | Apache-2.0 | 1,568,941,843,000 | 1,560,837,965,000 | Lean | UTF-8 | Lean | false | false | 13,659 | lean | /-
Copyright (c) 2018 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
The role of this file is twofold. In the first part there are theorems of the following
form: if α has a group structure and α ≃ β then β has a group structure, and
sim... |
c18f06be0e152150760375a745a60c655951dd23 | 94e33a31faa76775069b071adea97e86e218a8ee | /src/linear_algebra/tensor_power.lean | f200c4298cd2d5842db53d2f022b1d10598b8b7f | [
"Apache-2.0"
] | permissive | urkud/mathlib | eab80095e1b9f1513bfb7f25b4fa82fa4fd02989 | 6379d39e6b5b279df9715f8011369a301b634e41 | refs/heads/master | 1,658,425,342,662 | 1,658,078,703,000 | 1,658,078,703,000 | 186,910,338 | 0 | 0 | Apache-2.0 | 1,568,512,083,000 | 1,557,958,709,000 | Lean | UTF-8 | Lean | false | false | 2,506 | 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 linear_algebra.pi_tensor_product
import logic.equiv.fin
import algebra.direct_sum.algebra
/-!
# Tensor power of a semimodule over a commutative semirings
We defin... |
3237d8f4941ab4b342c9b0307142c39f8ed16b79 | 80746c6dba6a866de5431094bf9f8f841b043d77 | /src/topology/instances/complex.lean | c7e7661311e416df872988a391bca9d4f1fb358b | [
"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 | 6,136 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Mario Carneiro
Topology of the complex numbers.
-/
import data.complex.basic topology.metric_space.basic topology.instances.real
noncomputable theory
open filter metric
namespace com... |
6077af86b7cc25332b9309108caf33db00d79623 | 491068d2ad28831e7dade8d6dff871c3e49d9431 | /tests/lean/uni_bug1.lean | e54fc08c13633cdcd7ff85f0a0a43080d0add949 | [
"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 | 180 | lean | import data.prod
open nat prod
constant R : nat → nat → Prop
constant f (a b : nat) (H : R a b) : nat
axiom Rtrue (a b : nat) : R a b
check f 1 0 (Rtrue (pr1 (pair 1 0)) 0)
|
ce856f1b570e3e31db23e21cbe910d743550b3ea | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/coe3.lean | 4d858789a934e41379a6fd929b1166469f52a3a5 | [
"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 | 322 | lean | constants A B₁ B₂ C D : Type
constant A_to_B₁ : has_coe A B₁
constant A_to_B₂ : has_coe A B₂
constant B₁_to_C : has_coe B₁ C
constant B₂_to_D : has_coe B₂ D
attribute [instance] A_to_B₁ A_to_B₂ B₁_to_C B₂_to_D
constant a : A
constant f : C → C
constant g : D → D
#check f a
#check g a
|
e82f45cbefc2d6ee515ccc7627bba2e1100a3796 | a0e23cfdd129a671bf3154ee1a8a3a72bf4c7940 | /tests/lean/bytearray.lean | 41aed42023780c12c18dc1e16b40657bfa225be7 | [
"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 | 284 | lean |
def tst : IO Unit :=
do
let bs := [1, 2, 3].toByteArray;
IO.println bs;
let bs := bs.push 4;
let bs := bs.set! 1 20;
IO.println bs;
let bs₁ := bs.set! 2 30;
IO.println bs₁;
IO.println bs;
IO.println bs.size;
IO.println (bs ++ bs);
IO.println (bs.extract 1 3);
pure ()
#eval tst
|
3652e4e2b56a3d866264f9f13c85672fe0b99192 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/data/nat/prime_norm_num.lean | 664fd3f285cb9244d545c47a95587a94a830b848 | [
"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 | 9,761 | 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, Mario Carneiro
-/
import data.nat.factors
import data.nat.prime
import tactic.norm_num
/-!
# Primality prover
> THIS FILE IS SYNCHRONIZED WIT... |
5eb2b51c5535c489c1b1e95cda5df807c4a76b4a | 12dabd587ce2621d9a4eff9f16e354d02e206c8e | /world05/level01.lean | 48c098768705ee5ef854a47147ad589e0ca35469 | [] | no_license | abdelq/natural-number-game | a1b5b8f1d52625a7addcefc97c966d3f06a48263 | bbddadc6d2e78ece2e9acd40fa7702ecc2db75c2 | refs/heads/master | 1,668,606,478,691 | 1,594,175,058,000 | 1,594,175,058,000 | 278,673,209 | 0 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 72 | lean | example (P Q : Type) (p : P) (h : P → Q) : Q :=
begin
exact h(p),
end
|
5ed1179bbab713ec58b249bfd9cf916c780478f7 | 49ffcd4736fa3bdcc1cdbb546d4c855d67c0f28a | /library/init/data/ordering.lean | 6c5e02d36aa31fc1fc7e24758c61c40f006bc6a1 | [
"Apache-2.0"
] | permissive | black13/lean | 979e24d09e17b2fdf8ec74aac160583000086bc8 | 1a80ea9c8e28902cadbfb612896bcd45ba4ce697 | refs/heads/master | 1,626,839,620,164 | 1,509,113,016,000 | 1,509,122,889,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,865 | 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.repr init.data.prod init.data.sum.basic
universes u v
inductive ordering
| lt | eq | gt
namespace ordering
def swap : ordering... |
dddfbac0570fc9df3b20c15e824b53440dfb511e | ff5230333a701471f46c57e8c115a073ebaaa448 | /tests/lean/run/1813.lean | b75fb28dda506280facde9f1215681db4458e338 | [
"Apache-2.0"
] | permissive | stanford-cs242/lean | f81721d2b5d00bc175f2e58c57b710d465e6c858 | 7bd861261f4a37326dcf8d7a17f1f1f330e4548c | refs/heads/master | 1,600,957,431,849 | 1,576,465,093,000 | 1,576,465,093,000 | 225,779,423 | 0 | 3 | Apache-2.0 | 1,575,433,936,000 | 1,575,433,935,000 | null | UTF-8 | Lean | false | false | 529 | lean | open tactic
example {A B : Type} (f : A -> B) (a b c) (h1 : f a = b) (h2 : f a = c) : false :=
begin
rw h1 at *,
guard_hyp h1 := f a = b,
guard_hyp h2 := b = c,
admit
end
example {A B : Type} (f : A -> B) (a b c) (h1 : f a = b) (h2 : f a = c) : false :=
begin
rw [id h1] at *,
guard_hyp h1 := f a = b,
gu... |
cfd2246345103f742b03a8af398b506e12eb5c80 | 3c9dc4ea6cc92e02634ef557110bde9eae393338 | /stage0/src/Lean/Util/Profile.lean | bac75f38c8e67e0a6376114537ece8d77a89d3aa | [
"Apache-2.0"
] | permissive | shingtaklam1324/lean4 | 3d7efe0c8743a4e33d3c6f4adbe1300df2e71492 | 351285a2e8ad0cef37af05851cfabf31edfb5970 | refs/heads/master | 1,676,827,679,740 | 1,610,462,623,000 | 1,610,552,340,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,044 | lean | /-
Copyright (c) 2019 Sebastian Ullrich. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Sebastian Ullrich
-/
import Lean.Data.Position
namespace Lean
/-- Print and accumulate run time of `act` when option `profiler` is set to `true`. -/
@[extern "lean_profileit"]
def ... |
a33f01e669a895c28b8aa88b3e49e201fb18ef4e | 9b9a16fa2cb737daee6b2785474678b6fa91d6d4 | /src/algebra/pi_instances.lean | 381bed79f0f8aed2669fe27e929e121bf29a8938 | [
"Apache-2.0"
] | permissive | johoelzl/mathlib | 253f46daa30b644d011e8e119025b01ad69735c4 | 592e3c7a2dfbd5826919b4605559d35d4d75938f | refs/heads/master | 1,625,657,216,488 | 1,551,374,946,000 | 1,551,374,946,000 | 98,915,829 | 0 | 0 | Apache-2.0 | 1,522,917,267,000 | 1,501,524,499,000 | Lean | UTF-8 | Lean | false | false | 17,147 | 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
Pi instances for algebraic structures.
-/
import order.basic
import algebra.module algebra.group
import data.finset
import tactic.pi_instances
namespace pi
u... |
5c1e5bec11467d59657d104df13fb92a6d3de5c2 | cc060cf567f81c404a13ee79bf21f2e720fa6db0 | /lean/20170425-new-structures.lean | bd474e9a10db67cd6e558ebc98ec67f7a083bbbf | [
"Apache-2.0"
] | permissive | semorrison/proof | cf0a8c6957153bdb206fd5d5a762a75958a82bca | 5ee398aa239a379a431190edbb6022b1a0aa2c70 | refs/heads/master | 1,610,414,502,842 | 1,518,696,851,000 | 1,518,696,851,000 | 78,375,937 | 2 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 623 | lean | set_option pp.universes true
-- First, we verify everthing works as expected when not parameterised by a universe:
structure X := ( m : Type )
structure Y extends x : X
definition coercion : has_coe Y X :=
{ coe := Y.x }
attribute [instance] coercion
def f ( x : X ) := x.m
def g ( y : Y ) := f y
-- Second, we s... |
c8cdc2a7f43293c09be7f02ae0d75e5eef362274 | 11e28114d9553ecd984ac4819661ffce3068bafe | /src/tree.lean | 3f6b7745b2a3e5fc7302b2aeb57a112f13152296 | [
"MIT"
] | permissive | EdAyers/lean-subtask | 9a26eb81f0c8576effed4ca94342ae1281445c59 | 04ac5a6c3bc3bfd190af4d6dcce444ddc8914e4b | refs/heads/master | 1,586,516,665,621 | 1,558,701,948,000 | 1,558,701,948,000 | 160,983,035 | 4 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 5,096 | lean | /- Author: E.W.Ayers © 2019 -/
import .util
namespace robot
universes u
/-- A `tree α` is either a `leaf` of `α` or a `branch` of `α` and `list (tree α)`. -/
inductive tree (α : Type u)
|branch (a : α) (children : list tree) : tree
|leaf (a : α) : tree
namespace tree
variables {α β : Type u}
def head_item : tree α ... |
83dc4e65885fd15eb4ee6f62c407db451742697b | f3be49eddff7edf577d3d3666e314d995f7a6357 | /TBA/While/Solution.lean | f0c69d67564dd450e0a00d12860893c8062fdb25 | [] | no_license | IPDSnelting/tba-2021 | 8b930bcd2f4aae44a2ddc86e72b77f84e6d46e82 | b6390e55b768423d3266969e81d19290129c5914 | refs/heads/master | 1,686,754,693,583 | 1,625,135,602,000 | 1,625,136,365,000 | 355,124,341 | 50 | 7 | null | 1,625,133,762,000 | 1,617,699,824,000 | Lean | UTF-8 | Lean | false | false | 79 | lean | import TBA.While.Semantics
namespace While
-- Now it's your turn!
end While
|
05a3e2621912bdd6e96b3fb412760fe99cd03e5f | a8c03ed21a1bd6fc45901943b79dd6574ea3f0c2 | /utils.lean | 7ab0d8b0c3222afda314c8092a96f163bd90a230 | [] | no_license | gebner/resolution.lean | 716c355fbb5204e5c4d0c5a7f3f3cc825892a2bf | c6fafe06fba1cfad73db68f2aa474b29fe892a2b | refs/heads/master | 1,601,111,444,528 | 1,475,256,701,000 | 1,475,256,701,000 | 67,711,151 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 9,029 | lean | open tactic expr list
namespace expr
meta instance : has_ordering expr :=
has_ordering.mk expr.cmp
meta def imp (a b : expr) : expr :=
pi (default name) binder_info.default a b
meta def and_ (a b : expr) : expr :=
app (app (const ``and []) a) b
meta def not_ (a : expr) : expr :=
app (const ``not []) a
meta def fa... |
7971c89722b1137c001ee553ce8afa00a283df7a | 3268ab3a126f0fef71459fbf170dc38efe5d0506 | /homotopy/fwedge.hlean | 416e3879df1723ad81e33f78160e5a6fc4fe67be | [
"Apache-2.0"
] | permissive | soraismus/Spectral | f043fed1a4e02ddfeba531769b2980eb817471f4 | 32512bf47db3a1b932856e7ed7c7830b1fc07ef0 | refs/heads/master | 1,585,628,705,579 | 1,538,609,948,000 | 1,538,609,974,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 15,246 | hlean | /-
Copyright (c) 2016 Jakob von Raumer. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn, Favonia
The Wedge Sum of a family of Pointed Types
-/
import homotopy.wedge ..move_to_lib ..choice ..pointed_pi
open eq is_equiv pushout pointed unit trunc_index ... |
88fd7ef5d7ace0b761c57767f82b12728a8f5e19 | 798dd332c1ad790518589a09bc82459fb12e5156 | /linear_algebra/basic.lean | b2496dc45bc6cc397937d9e01f8fc727ab387081 | [
"Apache-2.0"
] | permissive | tobiasgrosser/mathlib | b040b7eb42d5942206149371cf92c61404de3c31 | 120635628368ec261e031cefc6d30e0304088b03 | refs/heads/master | 1,644,803,442,937 | 1,536,663,752,000 | 1,536,663,907,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 37,281 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Johannes Hölzl
Linear algebra -- classical
This file is inspired by Isabelle/HOL's linear algebra, and hence indirectly by HOL Light.
We define the following concepts:
* `lc α β`: l... |
e5f18a1f79961d67a0924d2e4d91b8ed3c6690ae | 7cef822f3b952965621309e88eadf618da0c8ae9 | /src/category_theory/limits/types.lean | 6c2046e21f582729a4b1f9967b36e3fd772af1b2 | [
"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 | 3,708 | lean | /-
Copyright (c) 2018 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison, Reid Barton
-/
import category_theory.limits.limits
universes v u -- declare the `v`'s first; see `category_theory.category` for an explanation
open category_theory
o... |
ec7e7613da436dd8df6a433cb03a4a116c7a9be1 | a4673261e60b025e2c8c825dfa4ab9108246c32e | /src/Lean/Elab/Command.lean | 5a541ed5ff6949a80a5cf359c2f7dca93488b427 | [
"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 | 25,697 | 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.ResolveName
import Lean.Elab.Log
import Lean.Elab.Term
import Lean.Elab.Binders
import Lean.Elab.SyntheticMVars
import Lean.Elab.DeclModifiers
... |
6bb1a1aeaadf414a8393c6ea469d769566b3c4f7 | 592ee40978ac7604005a4e0d35bbc4b467389241 | /Library/generated/mathscheme-lean/AbelianAdditiveGroup.lean | 0961ccafc9d6e9110a477380224e4d516c445461 | [] | no_license | ysharoda/Deriving-Definitions | 3e149e6641fae440badd35ac110a0bd705a49ad2 | dfecb27572022de3d4aa702cae8db19957523a59 | refs/heads/master | 1,679,127,857,700 | 1,615,939,007,000 | 1,615,939,007,000 | 229,785,731 | 4 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 10,600 | lean | import init.data.nat.basic
import init.data.fin.basic
import data.vector
import .Prelude
open Staged
open nat
open fin
open vector
section AbelianAdditiveGroup
structure AbelianAdditiveGroup (A : Type) : Type :=
(plus : (A → (A → A)))
(associative_plus : (∀ {x y z : A} , (plus (plus x y) z) = (plus... |
c7f426bc701a3ac0c37b852d14e74c346a85cd85 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/field_theory/ratfunc.lean | af065ab19b270ba1bb013feaea332108e7541549 | [
"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 | 56,986 | lean | /-
Copyright (c) 2021 Anne Baanen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Anne Baanen
-/
import ring_theory.euclidean_domain
import ring_theory.laurent_series
import ring_theory.localization
/-!
# The field of rational functions
This file defines the field `... |
1df2ec26e91834a9e9b6f939a4a7896595086171 | 3c693e12637d1cf47effc09ab5e21700d1278e73 | /src/equivalence_relations/partitions_solution.lean | ad3c96ecb440d28c729a611b4441aa539585eff0 | [] | no_license | ImperialCollegeLondon/Example-Lean-Projects | e731664ae046980921a69ccfeb2286674080c5bb | 87b27ba616eaf03f3642000829a481a1932dd08e | refs/heads/master | 1,685,399,670,721 | 1,623,092,696,000 | 1,623,092,696,000 | 275,571,570 | 19 | 1 | null | 1,593,361,524,000 | 1,593,344,124,000 | Lean | UTF-8 | Lean | false | false | 4,991 | lean | import data.equiv.basic -- bijections with inverses
import tactic -- we want to use tactics
open set
/-- Definition of a partition as a collection of disjoint nonempty
subsets of X whose union is X-/
@[ext] structure partition (X : Type) :=
(C : set (set X))
(Hnonempty : ∀ c ∈ C, c ≠ ∅)
(Hcover : ∀ x, ∃ c ∈ C, x ∈ ... |
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