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values | content stringlengths 3 6.12M |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
44924f18da55c8d7962161bc2db18f73bc57be54 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/run/eq21.lean | 00afa15c69d7f1c8395aaf4864024109aceee54a | [
"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 | 429 | lean | inductive formula :=
| eqf : nat β nat β formula
| impf : formula β formula β formula
namespace formula
definition denote : formula β Prop
| denote (eqf n1 n2) := n1 = n2
| denote (impf f1 f2) := denote f1 β denote f2
theorem denote_eqf (n1 n2 : nat) : denote (eqf n1 n2) = (n1 = n2) :=
rfl
theorem deno... |
e55b1475bdd2e63555ca8e2aed36382ae45af56e | 2c096fdfecf64e46ea7bc6ce5521f142b5926864 | /src/Lean/Server/InfoUtils.lean | 273a8aecab8cc0f8d83263acc8e154e72acecefe | [
"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 | 14,704 | lean | /-
Copyright (c) 2021 Wojciech Nawrocki. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Wojciech Nawrocki
-/
import Lean.PrettyPrinter
namespace Lean.Elab
/-- Visit nodes, passing in a surrounding context (the innermost one) and accumulating results on the way back ... |
17343fc14b84bd0c33ae7f6aee2b27df144a5fcd | 32025d5c2d6e33ad3b6dd8a3c91e1e838066a7f7 | /tests/lean/inst.lean | 7073510e5a1239487904f89c82315e44a32b6022 | [
"Apache-2.0"
] | permissive | walterhu1015/lean4 | b2c71b688975177402758924eaa513475ed6ce72 | 2214d81e84646a905d0b20b032c89caf89c737ad | refs/heads/master | 1,671,342,096,906 | 1,599,695,985,000 | 1,599,695,985,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 495 | lean | import Lean.Expr
open Lean
def tst : IO Unit :=
do
let f := mkConst `f;
let x := mkBVar 0;
let y := mkBVar 1;
let t := mkApp (mkApp (mkApp f x) y) x;
let a := mkConst `a;
let b := mkApp f (mkConst `b);
let c := mkConst `c;
IO.println t;
IO.println (t.instantiate #[a, b]);
IO.println (t.instantiateRange 0 2 #[a, b]);
I... |
cfec20427f722ada8c122110f1eb386887e26299 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/inlineProjInstIssue.lean | 264f099c7ab2a874a9f7f9d87e74226f37a49f96 | [
"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 | 345 | lean | class NameableType (Ο : Type) where
name : String
instance : NameableType String where
name := "String"
instance [inst : NameableType Ξ±] : NameableType (Array Ξ±) where
name :=
if inst.name.contains ' ' then
s!"Array ({inst.name})"
else
s!"Array {inst.name}"
def foo : String :=
NameableTyp... |
1a0ac95bc67b092bc08849fe9d4a04ec4ee0e942 | 1d265c7dd8cb3d0e1d645a19fd6157a2084c3921 | /src/lessons/lesson20.lean | 221d211858c47f7999a490d883e28475807a0638 | [
"MIT"
] | permissive | hanzhi713/lean-proofs | de432372f220d302be09b5ca4227f8986567e4fd | 4d8356a878645b9ba7cb036f87737f3f1e68ede5 | refs/heads/master | 1,585,580,245,658 | 1,553,646,623,000 | 1,553,646,623,000 | 151,342,188 | 0 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 5,864 | lean | namespace mynat
inductive mynat : Type
| zero : mynat
| succ : mynat β mynat
def zero := mynat.zero
def one := mynat.succ zero
def two := mynat.succ one
def three :=
mynat.succ
(mynat.succ
(mynat.succ
zero))
#reduce one
#reduce two
#reduce three
/-
Unary functions
-/
--... |
d1d32d742765edba815692127f9857a19f5657b9 | d5ecf6c46a2f605470a4a7724909dc4b9e7350e0 | /tactic/norm_num.lean | fcc69761961484e3e6ea2b4db8e4cfc341dd31b7 | [
"Apache-2.0"
] | permissive | MonoidMusician/mathlib | 41f79df478987a636b735c338396813d2e8e44c4 | 72234ef1a050eea3a2197c23aeb345fc13c08ff3 | refs/heads/master | 1,583,672,205,771 | 1,522,892,143,000 | 1,522,892,143,000 | 128,144,032 | 0 | 0 | Apache-2.0 | 1,522,892,144,000 | 1,522,890,892,000 | Lean | UTF-8 | Lean | false | false | 11,936 | lean | /-
Copyright (c) 2017 Simon Hudon All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon, Mario Carneiro
Evaluating arithmetic expressions including *, +, -, ^, β€
-/
import algebra.group_power data.rat tactic.interactive
universes u v w
open tactic
namespace ex... |
c4ee5fcae9187f88165eb3d454b38bd24a341335 | 853df553b1d6ca524e3f0a79aedd32dde5d27ec3 | /src/topology/dense_embedding.lean | f252c4035448443416d4d5be508914097ee79842 | [
"Apache-2.0"
] | permissive | DanielFabian/mathlib | efc3a50b5dde303c59eeb6353ef4c35a345d7112 | f520d07eba0c852e96fe26da71d85bf6d40fcc2a | refs/heads/master | 1,668,739,922,971 | 1,595,201,756,000 | 1,595,201,756,000 | 279,469,476 | 0 | 0 | null | 1,594,696,604,000 | 1,594,696,604,000 | null | UTF-8 | Lean | false | false | 13,576 | lean | /-
Copyright (c) 2019 Reid Barton. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes HΓΆlzl, Mario Carneiro, Patrick Massot
-/
import topology.separation
/-!
# Dense embeddings
This file defines three properties of functions:
* `dense_range f` means `f` ha... |
a37fb972db7ce8a0d7783de7f78b7ef0eb1dbd39 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/number_theory/zeta_values.lean | 296f70123d5593634f6f3b1777a2648ca255b992 | [
"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 | 16,722 | lean | /-
Copyright (c) 2022 David Loeffler. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: David Loeffler
-/
import number_theory.bernoulli_polynomials
import measure_theory.integral.interval_integral
import analysis.fourier.add_circle
import analysis.p_series
/-!
# Critic... |
25c20687ac891ea58c46af7498a28a625e233d57 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/tactic/omega/term_auto.lean | 0701362413ae9945eccb6200c935259695efc838 | [] | 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 | 2,022 | lean | /-
Copyright (c) 2019 Seul Baek. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Seul Baek
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.tactic.omega.coeffs
import Mathlib.PostPort
namespace Mathlib
/-
Normalized linear integer arithmeti... |
600ffdfcb8a202bccb8cfb4d4d1beb565b4ec893 | 94e33a31faa76775069b071adea97e86e218a8ee | /src/algebra/module/submodule/basic.lean | 106569d968336d42e7c821a350532f9bc5ab1ebe | [
"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 | 16,225 | lean | /-
Copyright (c) 2015 Nathaniel Thomas. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Nathaniel Thomas, Jeremy Avigad, Johannes HΓΆlzl, Mario Carneiro
-/
import algebra.module.linear_map
import algebra.module.equiv
import group_theory.group_action.sub_mul_action
/-!
#... |
d76c7fb596a26bfc2e09d2d20045b755b4955669 | 9cb9db9d79fad57d80ca53543dc07efb7c4f3838 | /src/pseudo_normed_group/breen_deligne.lean | 9ad0592bd56ad04bd094c8a483ca1630b179ca46 | [] | no_license | mr-infty/lean-liquid | 3ff89d1f66244b434654c59bdbd6b77cb7de0109 | a8db559073d2101173775ccbd85729d3a4f1ed4d | refs/heads/master | 1,678,465,145,334 | 1,614,565,310,000 | 1,614,565,310,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,111 | lean | import pseudo_normed_group.basic
import pseudo_normed_group.category
import breen_deligne.suitable
import for_mathlib.add_monoid_hom
noncomputable theory
local attribute [instance] type_pow
open_locale nnreal big_operators matrix
namespace breen_deligne
namespace basic_universal_map
variables {m n : β} (f : basi... |
71f8ace728ffd90fa197f306d308e30bbd13e0da | 7920bb65c187f9e7065f47e49b3b60ebe8cfe2c1 | /src/part1.lean | 9c3688df828e08a762c8b2079df4b9b8d0e7ccba | [] | no_license | ADedecker/grifone-3-16 | 3357441687acd8e1d8aa0f3eaeab76d69bd46b62 | d7cb5a58695203dea6a27fb69067e08eb6a82bad | refs/heads/master | 1,679,431,665,551 | 1,616,077,475,000 | 1,616,077,475,000 | 348,148,279 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,848 | lean | import linear_algebra
import utils
namespace linear_map
variables {E K : Type*} [field K] [add_comm_group E] [vector_space K E] (f : E ββ[K] E)
local notation `k` := f.ker_it
local notation `j` := f.range_it
def ker_it (n : β) := (f^n).ker
lemma mem_ker_it_succ_iff (n : β) (x : E) : x β k (n+1) β f x β k n :=
by r... |
c2046a18bd0a75aa9b9a83fcba398d04a1fe0970 | a6b711a4e8db20755026231f7ed529a9014b2b6d | /05_Disjunction/00_intro.lean | 46ea4e07e4eddc9d3b469a0cdb4ca06eaa19d6b8 | [] | no_license | chaseboettner/cs-dm-1 | b67d4a7e86f56bce59d2af115503769749d423b2 | 80b35f2957ffaa45b8b7a4479a3570a2d6eb4db0 | refs/heads/master | 1,585,367,603,488 | 1,536,235,675,000 | 1,536,235,675,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 507 | lean | -- UNDER CONSTRUCTION
section
variables P Q R X Y Z: Prop
variable pfP : P
variable pfQ : Q
variable pfR : R
/-
There's not enough information on the right
hand side of the := to infer the value of R,
so type inference can't be used, so R must be
given explicitly.
-/
theorem pfPorR : P β¨ R := or.intro_left R pfP
... |
2a3efc65e84e6d2247d815ba337a984207554593 | f7c63613a4933f66368ef2802a50c417a46cddfc | /tests/lean/run/1813.lean | e5b265dfabdd3baa084656419da83840001199d9 | [
"Apache-2.0"
] | permissive | avigad/lean | 28cef71cd8c4eae53f342c87f81ca78d7cc75874 | 5410178203ab5ae854b5804586ace074ffd63aae | refs/heads/master | 1,608,801,379,340 | 1,504,894,459,000 | 1,505,174,163,000 | 22,361,408 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 523 | 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,
guard_... |
ad68946d0a81b8ba871c07289706ecacacf332a7 | c777c32c8e484e195053731103c5e52af26a25d1 | /src/number_theory/legendre_symbol/jacobi_symbol.lean | 9bbec60ab8148ebd131ea7324d30b0ca8bd7f472 | [
"Apache-2.0"
] | permissive | kbuzzard/mathlib | 2ff9e85dfe2a46f4b291927f983afec17e946eb8 | 58537299e922f9c77df76cb613910914a479c1f7 | refs/heads/master | 1,685,313,702,744 | 1,683,974,212,000 | 1,683,974,212,000 | 128,185,277 | 1 | 0 | null | 1,522,920,600,000 | 1,522,920,600,000 | null | UTF-8 | Lean | false | false | 17,540 | lean | /-
Copyright (c) 2022 Michael Stoll. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Michael Stoll
-/
import number_theory.legendre_symbol.quadratic_reciprocity
/-!
# The Jacobi Symbol
We define the Jacobi symbol and prove its main properties.
## Main definitions
We... |
5c64e78d5be303a6a4709e4263f7edfa9c4e934e | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/tactic/subtype_instance.lean | 5160037818792d837f67e36a5f044a840c44de1b | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 2,434 | lean | /-
Copyright (c) 2018 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon
Provides a `subtype_instance` tactic which builds instances for algebraic substructures
(sub-groups, sub-rings...).
-/
import tactic.basic
open tactic expr name list
namespa... |
90e8732016237b17b51f93f9b45896b9c4c21563 | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /tests/lean/restrict_bug.lean | 252a109db2a3f7e322b47a592a7e6f93630418a5 | [
"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 | 157 | lean | axiom all {A : Type}: list A β (A β Prop) β Prop
variable {A : Type}
variable {R : A β A β Prop}
set_option pp.all true
check β a l, all l (R a)
|
0c9b51be3d4e1ef6f1f0feb6587c9b125a9b7e3c | 4727251e0cd73359b15b664c3170e5d754078599 | /src/topology/category/Compactum.lean | 68850283ad17d72dcc0946b2fb9b5bdf2b0e581d | [
"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 | 17,822 | lean | /-
Copyright (c) 2020 Adam Topaz. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Adam Topaz
-/
import category_theory.monad.types
import category_theory.monad.limits
import category_theory.equivalence
import topology.category.CompHaus
import topology.category.Profinit... |
9f4028cda4a6e29ecc5a3dc0990dbdce9a9764e7 | bf532e3e865883a676110e756f800e0ddeb465be | /category/basic.lean | 12b64227d15fb60a7137f9fdc6faac67ba57e208 | [
"Apache-2.0"
] | permissive | aqjune/mathlib | da42a97d9e6670d2efaa7d2aa53ed3585dafc289 | f7977ff5a6bcf7e5c54eec908364ceb40dafc795 | refs/heads/master | 1,631,213,225,595 | 1,521,089,840,000 | 1,521,089,840,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,242 | lean | /-
Copyright (c) 2017 Johannes HΓΆlzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes HΓΆlzl
Extends the theory on functors, applicatives and monads.
-/
universes u v w x y
variables {Ξ± Ξ² Ξ³ : Type u}
section applicative
variables {f : Type u β Type v} [applic... |
f151e822d54bdfb18e154cc7becd600144d65736 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/strInterpolation.lean | 5f51880ea478f4c10c63ea8a995c994b8953b966 | [
"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 | 372 | lean |
#eval s!"hello {1+1}"
def tst (x : Nat) : IO Unit := do
IO.println s!"x: {x}"
IO.println s!"x+1: {x+1}"
#eval tst 10
#eval s!"{1}+{1}"
#eval s!"\{{1+1}}"
#eval s!"a{1}"
def g (x : Nat) : StateRefT Nat IO Nat := do
modify (Β· + x)
get
def ex : StateRefT Nat IO Unit := do
IO.println s!">> hello {(βg 1)}"
IO.println ... |
0e22cd3a5f7fa8b51268eafe6b2a388c43930941 | 3863d2564418bccb1859e057bf5a4ef240e75fd7 | /hott/homotopy/complex_hopf.hlean | 038695919f9528ce165ec3dd7b69e672b003a629 | [
"Apache-2.0"
] | permissive | JacobGross/lean | 118bbb067ff4d4af48a266face2c7eb9868fa91c | eb26087df940c54337cb807b4bc6d345d1fc1085 | refs/heads/master | 1,582,735,011,532 | 1,462,557,826,000 | 1,462,557,826,000 | 46,451,196 | 0 | 0 | null | 1,462,557,826,000 | 1,447,885,161,000 | C++ | UTF-8 | Lean | false | false | 1,104 | hlean | /-
Copyright (c) 2016 Ulrik Buchholtz and Egbert Rijke. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Ulrik Buchholtz, Egbert Rijke
The H-space structure on SΒΉ and the complex Hopf fibration
(the standard one).
-/
import .hopf .circle
open eq equiv is_equiv circle... |
0db7fa7d05898634991f6482920f9991e7d41393 | 94e33a31faa76775069b071adea97e86e218a8ee | /src/category_theory/limits/cones.lean | d08eed316f623ca817b6123b6d7629dbd5769be3 | [
"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 | 30,953 | lean | /-
Copyright (c) 2017 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Stephen Morgan, Scott Morrison, Floris van Doorn
-/
import category_theory.functor.const
import category_theory.discrete_category
import category_theory.yoneda
import category_theory.f... |
12f8450a976d1ca07a9d34d007d6b970045f8323 | 30b012bb72d640ec30c8fdd4c45fdfa67beb012c | /tactic/squeeze.lean | 635dee7b98a0a18709c8de7f5dd2d276cfae9d79 | [
"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 | 3,609 | lean |
import meta.rb_map
import tactic.basic
import category.traversable
open interactive interactive.types lean.parser
meta def loc.to_string_aux : option name β string
| none := "β’"
| (some x) := to_string x
meta def loc.to_string : loc β string
| (loc.ns []) := ""
| (loc.ns [none]) := ""
| (loc.ns ls) := string.join $... |
1c9c189db59cf465f84000ee15f07e7274ad8974 | c777c32c8e484e195053731103c5e52af26a25d1 | /src/analysis/normed_space/dual.lean | e2b6c94a46c829b08bb3c241b78ccab532fb67bf | [
"Apache-2.0"
] | permissive | kbuzzard/mathlib | 2ff9e85dfe2a46f4b291927f983afec17e946eb8 | 58537299e922f9c77df76cb613910914a479c1f7 | refs/heads/master | 1,685,313,702,744 | 1,683,974,212,000 | 1,683,974,212,000 | 128,185,277 | 1 | 0 | null | 1,522,920,600,000 | 1,522,920,600,000 | null | UTF-8 | Lean | false | false | 10,336 | lean | /-
Copyright (c) 2020 Heather Macbeth. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Heather Macbeth
-/
import analysis.normed_space.hahn_banach.extension
import analysis.normed_space.is_R_or_C
import analysis.locally_convex.polar
/-!
# The topological dual of a norm... |
6529e41a114d639cac6e683561279151903675aa | 94e33a31faa76775069b071adea97e86e218a8ee | /src/number_theory/padics/padic_numbers.lean | e4ce9e5011d0f5c20f747eae8969279e49db27dc | [
"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 | 42,044 | lean | /-
Copyright (c) 2018 Robert Y. Lewis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Robert Y. Lewis
-/
import analysis.normed_space.basic
import number_theory.padics.padic_norm
/-!
# p-adic numbers
This file defines the p-adic numbers (rationals) `β_p` as
the compl... |
097d2a7bb316430ba3d7c825c96a3d6ddf573447 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/linear_algebra/affine_space/matrix.lean | fd7eb1c68674943d0e38fdcc2d28a7e17070f3bf | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 6,825 | lean | /-
Copyright (c) 2021 Oliver Nash. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Oliver Nash
-/
import linear_algebra.affine_space.basis
import linear_algebra.determinant
/-!
# Matrix results for barycentric co-ordinates
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> ... |
a1b6a53565b92e086c5b8627cbf7c8769812c421 | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/data/matrix/basic.lean | 673c7a813acd1913d5790ed1658ee7250f868b3a | [
"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 | 39,244 | lean | /-
Copyright (c) 2018 Ellen Arlt. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Ellen Arlt, Blair Shi, Sean Leather, Mario Carneiro, Johan Commelin
-/
import algebra.big_operators.pi
import algebra.module.pi
import algebra.big_operators.ring
import data.fintype.card
... |
dbb2e9a238f3725339cc5d5235cb51d562a7fe28 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/unknownTactic.lean | 01ad345ecc2255629cb93e33e80a56467314227a | [
"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 | 271 | lean | theorem ex1 (x : Nat) : x = x β x = x := by
intro
aexact (rfl)
#print "---"
theorem ex2 (x : Nat) : x = x β x = x :=
have : x = x := by foo
fun h => h
#print "---"
theorem ex3 (x : Nat) : x = x β x = x :=
have : x = x := by foo (aaa bbb)
fun h => h
|
b55bd6b083fbf109f1c806d6248c9c0cbf336496 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/calc.lean | 337d1e0b62612b8f16c41dda130b049d0123784c | [
"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 | 356 | lean | namespace foo
constant le : nat β nat β Prop
axiom le_trans {a b c : nat} : le a b β le b c β le a c
attribute [trans] le_trans
infix `<<`:50 := le
end foo
namespace foo
theorem T {a b c d : nat} : a << b β b << c β c << d β a << d
:= assume H1 H2 H3,
calc a << b : H1
... << c : H2
... |
848c1513307bef7f3bd62ff88be1311043dde7fd | bb31430994044506fa42fd667e2d556327e18dfe | /src/algebra/group_with_zero/units/lemmas.lean | 68ced6b72bfc91a6f58f982c4eaf36c4319ba368 | [
"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 | 7,460 | lean | /-
Copyright (c) 2020 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin
-/
import algebra.group_with_zero.commute
import algebra.hom.units
import group_theory.group_action.units
/-!
# Further lemmas about units in a `monoid_with_zero` or a ... |
faa43b477e1724440388404b18ac8dff9641ebb3 | bb31430994044506fa42fd667e2d556327e18dfe | /src/linear_algebra/projection.lean | 0607c59f7ad110d90ec019a840c336223ccc4a0b | [
"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 | 16,752 | lean | /-
Copyright (c) 2020 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov
-/
import linear_algebra.quotient
import linear_algebra.prod
/-!
# Projection to a subspace
In this file we define
* `linear_proj_of_is_compl (p q : submodule R E) (... |
c37b897681d343208473c15912bfcc106a428a96 | 947b78d97130d56365ae2ec264df196ce769371a | /tests/lean/run/doNotation2.lean | de460b63ee24dbba2e1ab2cd4b1c2445d3b0424f | [
"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 | 365 | lean | new_frontend
def f (x : Nat) : IO Nat := do
IO.println "hello world"
let aux (y : Nat) (z : Nat) : IO Nat := do
IO.println "aux started"
IO.println ("y: " ++ toString y ++ ", z: " ++ toString z)
pure (x+y)
aux x
(x + 1) -- It is part of the application since it is indented
aux x (x -- parentheses use `withoutP... |
cabf6df81c462153f4ae5d299e81a077f52cc621 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/simpStar.lean | abdc7b707b0a9d54db64f2a357b9d42702cda4d2 | [
"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 | 506 | lean | opaque f (x y : Nat) : Nat
opaque g (x : Nat) : Nat
theorem ex1 (x : Nat) (hβ : f x x = g x) (hβ : g x = x) : f x (f x x) = x := by
fail_if_success simp
simp [*]
theorem ex2 (x : Nat) (hβ : f x x = g x) (hβ : g x = x) : f x (f x x) = x := by
simp [*]
axiom g_ax (x : Nat) : g x = 0
theorem ex3 (x y : Nat) (hβ ... |
10b650a0e190de4e4a6f2f80193a1995c1903902 | 77c5b91fae1b966ddd1db969ba37b6f0e4901e88 | /src/number_theory/quadratic_reciprocity.lean | c53fa07f341478ffebda67c9f0e4ec9f5047f431 | [
"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 | 24,987 | 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 field_theory.finite.basic
import data.zmod.basic
import data.nat.parity
/-!
# Quadratic reciprocity.
This file contains results about quadratic residues modulo ... |
d0a0df6204cf275696c8114b43edc1fced5be391 | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /tests/lean/run/app_builder_tac1.lean | 64d91ca732f4e5403b65edd6dbb6677a657901d0 | [
"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 | 520 | lean | open tactic list nat name
set_option trace.app_builder true
set_option pp.all true
meta_definition mk_ite (c a b : expr) : tactic expr :=
mk_mapp `ite [some c, none, none, some a, some b]
example (a b : nat) : nat :=
by do a β get_local `a,
b β get_local `b,
mk_app `add [a, b] >>= trace,
mk_app `mu... |
d45e9a205ca47d315de507353d47117f96f64353 | 5c4b17dae42fab1d4f493f3b52977bffa54fefea | /4.6.1.lean | 10886c00e73687156c80b736f358ab1f12ca5153 | [] | no_license | hyponymous/theorem-proving-in-lean-solutions | 9214cb45cc87347862fd17dfdea79fdf24b9df92 | a95320ae81c90c1b15da04574602cd378794400d | refs/heads/master | 1,585,777,733,214 | 1,541,039,359,000 | 1,541,039,359,000 | 153,676,525 | 2 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,036 | lean | variables (Ξ± : Type) (p q : Ξ± β Prop)
example : (β x, p x β§ q x) β (β x, p x) β§ (β x, q x) :=
iff.intro
(assume h : (β x, p x β§ q x),
show (β x, p x) β§ (β x, q x), from
and.intro
(assume z : Ξ±,
(h z).left)
(assume z : Ξ±,
(h z).right))
(ass... |
85706764f5011d05aada7ce31e1e1ed23ed6f36f | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/lamexp.lean | 69a4587f58ae4c754d0554b20d00fa969732f219 | [
"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 | 1,768 | lean | inductive ty
| base : string β ty
| arr : ty β ty β ty
namespace ty
instance : decidable_eq ty := by tactic.mk_dec_eq_instance
instance : inhabited ty := β¨ty.base "o"β©
end ty
@[reducible] def ctx := list ty
inductive lamexp_core : ctx β ty β Type
| var : Ξ {Ξ : ctx} {t} (n : β), list.nth Ξ n = some t β lamexp_core Ξ... |
3a1594454aabeac993ab77d570f6e43e68bb9abd | cc060cf567f81c404a13ee79bf21f2e720fa6db0 | /lean/20171217-false.lean | 0314ec37cad4be380344ef58f04d9a2e22d69b1d | [
"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 | 160 | lean | lemma main : false :=
begin
have helper : (β x : β, true) β false :=
Ξ» β¨x, hβ©, by apply _fun_match; assumption,
exact helper β¨0, β¨β©β©,
end |
d2eae8b960eb256d83919268adcdc7c3115822aa | 35677d2df3f081738fa6b08138e03ee36bc33cad | /src/analysis/normed_space/finite_dimension.lean | ffa6612043a0d8e636a8ddb5569e1491d8e58706 | [
"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 | 12,834 | lean | /-
Copyright (c) 2019 SΓ©bastien GouΓ«zel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: SΓ©bastien GouΓ«zel
-/
import analysis.normed_space.operator_norm linear_algebra.finite_dimensional tactic.omega
/-!
# Finite dimensional normed spaces over complete fields
Over a ... |
caf6a9d34ed3cb9d435ceddf59493f40ad856702 | 26ac254ecb57ffcb886ff709cf018390161a9225 | /src/order/filter/bases.lean | bbacfc16afea719bc478a3b8abb156b758da90cb | [
"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 | 31,112 | lean | /-
Copyright (c) 2020 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Yury Kudryashov, Johannes HΓΆlzl, Mario Carneiro, Patrick Massot
-/
import order.filter.at_top_bot
import data.set.countable
/-!
# Filter bases
A filter basis `B : filter_basis Ξ±` on ... |
22228b805b2464589824899b1e252d72f59ea18e | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/data/set_like/fintype.lean | 92783be767416b2536168710b97e3170f9832987 | [
"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 | 910 | lean | /-
Copyright (c) 2021 . All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes
-/
import data.set_like.basic
import data.fintype.basic
/-!
# Set-like fintype
This file contains a fintype instance for set-like objects such as subgroups. If `set_like A B`
and `fint... |
1deac0597c381ee486612dac86b918e39cf32bab | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/ring_theory/polynomial/tower.lean | 8dc8313ae783ed5d7fba3d775f5b735f12dc440c | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 2,363 | lean | /-
Copyright (c) 2020 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau, Yuyang Zhao
-/
import algebra.algebra.tower
import data.polynomial.algebra_map
/-!
# Algebra towers for polynomial
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to ... |
c5e6c2504230e74c6407b4a599e93db1ef18d0c8 | aa3f8992ef7806974bc1ffd468baa0c79f4d6643 | /library/data/list/basic.lean | e7cd3009bdb54a8674b10fa7792e6a9f59923ddd | [
"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 | 8,090 | 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
---------------------... |
0ffe8df5ec8834fe349c8ec4ca7fe058a5c2c7b5 | ce6917c5bacabee346655160b74a307b4a5ab620 | /src/ch3/ex0104.lean | ae35412277790d7e40673376b3cf5a8cf834d7c9 | [] | no_license | Ailrun/Theorem_Proving_in_Lean | ae6a23f3c54d62d401314d6a771e8ff8b4132db2 | 2eb1b5caf93c6a5a555c79e9097cf2ba5a66cf68 | refs/heads/master | 1,609,838,270,467 | 1,586,846,743,000 | 1,586,846,743,000 | 240,967,761 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 117 | lean | constant Proof : Prop β Type
constant modus_ponens : Ξ p q : Prop, (Proof p β Proof q) β Proof (implies p q)
|
02de878e3d3e9da2568503bf40a649ee31f5bbe5 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/data/rel.lean | 1c1b0f2186a251ec1edbb8c26719bf7220f18794 | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 7,748 | lean | /-
Copyright (c) 2018 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad
-/
import order.complete_lattice
import order.galois_connection
/-!
# Relations
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file require a correspon... |
c9f0cb1a6c55a2767c619947a2437eda09e402c6 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/field_theory/finiteness.lean | b8ca2c16da3a9dbdf4a1d158c7489e03d2cdf965 | [
"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 | 3,996 | lean | /-
Copyright (c) 2019 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes
-/
import ring_theory.finiteness
import linear_algebra.dimension
/-!
# A module over a division ring is noetherian if and only if it is finite.
-/
universes u v
open_loc... |
0bf8b7b190b2f8c21e639964d07b9768476faf22 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/decAuxBug.lean | 25e3b814858f9866d38ad901d5f84d90e1bb1242 | [
"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 | 98 | lean | section
variable (A : Type) (B : A β Prop)
def foo := PSigma B
def bar : Type := PSigma B
end
|
b59505dc7bc43b90053589d6cebecf555dbf8ca6 | 624f6f2ae8b3b1adc5f8f67a365c51d5126be45a | /tests/lean/run/typeclass_metas_internal_goals4.lean | 361d8a5e0f997e1bfdaa8c09420341cd75e568dc | [
"Apache-2.0"
] | permissive | mhuisi/lean4 | 28d35a4febc2e251c7f05492e13f3b05d6f9b7af | dda44bc47f3e5d024508060dac2bcb59fd12e4c0 | refs/heads/master | 1,621,225,489,283 | 1,585,142,689,000 | 1,585,142,689,000 | 250,590,438 | 0 | 2 | Apache-2.0 | 1,602,443,220,000 | 1,585,327,814,000 | C | UTF-8 | Lean | false | false | 649 | lean | class Foo (Ξ± Ξ² Ξ³ : Type) := (u:Unit)
class Bar (Ξ± Ξ² Ξ³ : Type) := (u:Unit)
class Top := (u:Unit)
instance FooBarToTop (Ξ± Ξ² Ξ³ : Type) [Foo Ξ± Ξ² Ξ³] [Bar Ξ± Ξ² Ξ³] : Top := {u:=()}
instance Fooβ (Ξ² Ξ³ : Type) : Foo Unit Ξ² Ξ³ := {u:=()}
instance Fooβ (Ξ± Ξ³ : Type) : Foo Ξ± Unit Ξ³ := {u:=()}
instance Fooβ (Ξ± Ξ² : Type) : Foo Ξ± Ξ² Uni... |
8189b48440d7c88d8cc5ba921b6aac4f4c952987 | 302c785c90d40ad3d6be43d33bc6a558354cc2cf | /src/category_theory/abelian/basic.lean | 7b3c32128285ae2b8f828e288171f15fb1e592a6 | [
"Apache-2.0"
] | permissive | ilitzroth/mathlib | ea647e67f1fdfd19a0f7bdc5504e8acec6180011 | 5254ef14e3465f6504306132fe3ba9cec9ffff16 | refs/heads/master | 1,680,086,661,182 | 1,617,715,647,000 | 1,617,715,647,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 23,261 | lean | /-
Copyright (c) 2020 Markus Himmel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Markus Himmel
-/
import category_theory.limits.constructions.pullbacks
import category_theory.limits.shapes.biproducts
import category_theory.limits.shapes.images
import category_theor... |
82dd1055be4a608fa478dda59c44c63ddc39372a | ee8cdbabf07f77e7be63a449b8483ce308d37218 | /lean/src/valid/mathd-numbertheory-102.lean | 23bdf862896774664f0114940f10f13844c30d80 | [
"MIT",
"Apache-2.0"
] | permissive | zeta1999/miniF2F | 6d66c75d1c18152e224d07d5eed57624f731d4b7 | c1ba9629559c5273c92ec226894baa0c1ce27861 | refs/heads/main | 1,681,897,460,642 | 1,620,646,361,000 | 1,620,646,361,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 241 | lean | /-
Copyright (c) 2021 OpenAI. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kunhao Zheng
-/
import data.nat.basic
import data.real.basic
example : (2 ^ 8) % 5 = 1 :=
begin
norm_num,
end
|
6671e297784349038799e41edbc76318f30414d9 | 302c785c90d40ad3d6be43d33bc6a558354cc2cf | /src/order/ideal.lean | 116992c97c4d913d6c129a4c576612fedd6a51e1 | [
"Apache-2.0"
] | permissive | ilitzroth/mathlib | ea647e67f1fdfd19a0f7bdc5504e8acec6180011 | 5254ef14e3465f6504306132fe3ba9cec9ffff16 | refs/heads/master | 1,680,086,661,182 | 1,617,715,647,000 | 1,617,715,647,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 12,955 | lean | /-
Copyright (c) 2020 David WΓ€rn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: David WΓ€rn
-/
import order.basic
import data.equiv.encodable.basic
import order.atoms
/-!
# Order ideals, cofinal sets, and the RasiowaβSikorski lemma
## Main definitions
Throughout thi... |
41bb75b992c4d34e7210525d7b396f8c4961ae7e | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/data/tprod.lean | 58a2b3596b533061c6a490f040d7cbba3fbc15a7 | [
"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 | 5,913 | lean | /-
Copyright (c) 2020 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn
-/
import data.list.nodup
/-!
# Finite products of types
This file defines the product of types over a list. For `l : list ΞΉ` and `Ξ± : ΞΉ β Type*` we define
`list.t... |
cee1fcc0d62f7a576bf57e5323b853906fe264eb | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/control/fix.lean | cc257a5177d54ce21e3c5601e4f7f178835b43ce | [
"Apache-2.0"
] | permissive | jjgarzella/mathlib | 96a345378c4e0bf26cf604aed84f90329e4896a2 | 395d8716c3ad03747059d482090e2bb97db612c8 | refs/heads/master | 1,686,480,124,379 | 1,625,163,323,000 | 1,625,163,323,000 | 281,190,421 | 2 | 0 | Apache-2.0 | 1,595,268,170,000 | 1,595,268,169,000 | null | UTF-8 | Lean | false | false | 3,314 | lean | /-
Copyright (c) 2020 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon
-/
import data.nat.upto
import data.stream.basic
import data.pfun
/-!
# Fixed point
This module defines a generic `fix` operator for defining recursive
computations that ar... |
9f896e1c1ed7eb96895631b11f8c99894a86bb55 | 947fa6c38e48771ae886239b4edce6db6e18d0fb | /src/combinatorics/young_diagram.lean | 7886783d1f48ad7a37f9679d521a4216b8fe1a90 | [
"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 | 4,643 | lean | /-
Copyright (c) 2022 Jake Levinson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jake Levinson
-/
import order.upper_lower
/-!
# Young diagrams
A Young diagram is a finite set of up-left justified boxes:
```text
β‘β‘β‘β‘β‘
β‘β‘β‘
β‘β‘β‘
β‘
```
This Young diagram corresponds ... |
18589d4988b3abd4febb23c38a9d29590fb28372 | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/data/finset/preimage.lean | d8f7c34a28b100e01a71ebf7df946b0fe5561b63 | [
"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 | 4,253 | lean | /-
Copyright (c) 2017 Johannes HΓΆlzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes HΓΆlzl, Mario Carneiro
-/
import data.set.finite
import algebra.big_operators.basic
/-!
# Preimage of a `finset` under an injective map.
-/
open set function
open_locale big... |
4e4fd53d2e508af0cac0be1dc07bc6dc9319bddd | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/Lean/Elab/Tactic/Rewrite.lean | 55de56b798b193c3079563a07710665dfb2e149c | [
"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 | 3,144 | 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.Tactic.Rewrite
import Lean.Meta.Tactic.Replace
import Lean.Elab.Tactic.Location
import Lean.Elab.Tactic.Config
namespace Lean.Elab.Tactic
... |
b304af7324100f4adda2d0067bfe24eb17c5b5f5 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/algebra/group/units.lean | f492b62332cd4a6a9c74737dc134ba0179a1cb47 | [
"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 | 15,540 | lean | /-
Copyright (c) 2017 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau, Mario Carneiro, Johannes HΓΆlzl, Chris Hughes, Jens Wagemaker
-/
import algebra.group.basic
import logic.nontrivial
/-!
# Units (i.e., invertible elements) of a multiplicative mo... |
13e6a4f2e0aef95c1482814caea276bda3304af5 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/category_theory/adjunction/reflective.lean | 3febb0a8d88f7e10e4af8f975b4b0c60eff63522 | [
"Apache-2.0"
] | permissive | alreadydone/mathlib | dc0be621c6c8208c581f5170a8216c5ba6721927 | c982179ec21091d3e102d8a5d9f5fe06c8fafb73 | refs/heads/master | 1,685,523,275,196 | 1,670,184,141,000 | 1,670,184,141,000 | 287,574,545 | 0 | 0 | Apache-2.0 | 1,670,290,714,000 | 1,597,421,623,000 | Lean | UTF-8 | Lean | false | false | 7,937 | lean | /-
Copyright (c) 2020 Bhavik Mehta. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Bhavik Mehta
-/
import category_theory.adjunction.fully_faithful
import category_theory.functor.reflects_isomorphisms
import category_theory.epi_mono
/-!
# Reflective functors
Basic pr... |
80a26493fd267f976b18ffce6fd192572761c7a2 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/topology/path_connected.lean | 9a13c1b205d627a7b6dbe03d7be43fe66534c4c6 | [
"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 | 40,951 | lean | /-
Copyright (c) 2020 Patrick Massot. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Patrick Massot
-/
import topology.unit_interval
import topology.algebra.ordered.proj_Icc
import topology.continuous_function.basic
/-!
# Path connectedness
## Main definitions
In th... |
c4721a01fa7940e1c10219de339f21867401b55e | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/category_theory/preadditive/injective.lean | 0f4b579d247b3ce21a1e332b95b12a7d54a98399 | [
"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 | 10,584 | lean | /-
Copyright (c) 2022 Jujian Zhang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jujian Zhang, Kevin Buzzard
-/
import algebra.homology.exact
import category_theory.types
import category_theory.preadditive.projective
import category_theory.limits.shapes.biproducts
... |
9007a5e3e31d0413ea76d90d378b2569965b6cbf | ce89339993655da64b6ccb555c837ce6c10f9ef4 | /bluejam/chap4_exercise1.lean | 1337a16aded0d4c6c2dd2cb580497c39e664a0fc | [] | no_license | zeptometer/LearnLean | ef32dc36a22119f18d843f548d0bb42f907bff5d | bb84d5dbe521127ba134d4dbf9559b294a80b9f7 | refs/heads/master | 1,625,710,824,322 | 1,601,382,570,000 | 1,601,382,570,000 | 195,228,870 | 2 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,363 | lean | variables (Ξ± : Type) (p q : Ξ± β Prop)
example : (β x, p x β§ q x) β (β x, p x) β§ (β x, q x) :=
iff.intro
(
assume h: β x, (p x β§ q x),
have β x, p x, from (
assume x: Ξ±,
show p x, from (h x).left
),
have β x, q x, from (
... |
63c25dcde5a4e0a8210783c955d28e0041a43bb9 | 5ae26df177f810c5006841e9c73dc56e01b978d7 | /src/tactic/monotonicity/interactive.lean | 35893af4fc997c06b940fc6d4f5f857bd18dc613 | [
"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 | 21,467 | lean | /-
Copyright (c) 2019 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Simon Hudon
-/
import tactic.monotonicity.basic
import category.basic
import category.traversable
import category.traversable.derive
import data.dlist
import logic.basic
import tactic.cor... |
df323b41f0c4e1028eead4fd2c8d1ff3d5c0cc4c | 853df553b1d6ca524e3f0a79aedd32dde5d27ec3 | /src/logic/embedding.lean | dd2380a6216c304f596843cac17c2e81814735de | [
"Apache-2.0"
] | permissive | DanielFabian/mathlib | efc3a50b5dde303c59eeb6353ef4c35a345d7112 | f520d07eba0c852e96fe26da71d85bf6d40fcc2a | refs/heads/master | 1,668,739,922,971 | 1,595,201,756,000 | 1,595,201,756,000 | 279,469,476 | 0 | 0 | null | 1,594,696,604,000 | 1,594,696,604,000 | null | UTF-8 | Lean | false | false | 9,944 | lean | /-
Copyright (c) 2017 Johannes HΓΆlzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes HΓΆlzl, Mario Carneiro
-/
import data.equiv.basic
import data.sigma
/-!
# Injective functions
-/
universes u v w x
namespace function
/-- `Ξ± βͺ Ξ²` is a bundled injective fun... |
c0f8c0655d9b7d21f7a5cb1c005a4f1da5f7f51c | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/algebra/ring/defs.lean | 7f28e7eb12f262f81c4ef9b1f9836f61a31d87d9 | [
"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 | 16,731 | 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, Floris van Doorn, Yury Kudryashov, Neil Strickland
-/
import algebra.group.basic
import algebra.group_with_zero.defs
import data.int.cast.defs
/-!
# S... |
bb32d45e0667f86aff21174d1a2c2cc100258847 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/holeErrors.lean | e6969e64608d264cf5b240dd8df9a864b43c4d39 | [
"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 | 176 | lean | --
def f1.{u} := id.{u}
def f2 : _ := id
def f3.{u} :=
let x := id.{u};
x
def f4 (x) := x
def f5 (x : _) := x
def f6 :=
fun x => x
def f7.{u} :=
let rec x := id.{u};
10
|
8479b138a3221f0817f4903213d473f1c7ef5286 | b2e508d02500f1512e1618150413e6be69d9db10 | /src/measure_theory/measure_space.lean | 0b44bde0f148bb7eb127a34c728d08c1b8811b7a | [
"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 | 35,104 | lean | /-
Copyright (c) 2017 Johannes HΓΆlzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes HΓΆlzl, Mario Carneiro
Measure spaces -- measures
Measures are restricted to a measurable space (associated by the type class `measurable_space`).
This allows us to prove equ... |
63257b2f047686fc7731c2b1b36e79d410ec9eaf | bb31430994044506fa42fd667e2d556327e18dfe | /src/algebra/module/submodule/basic.lean | 1ffe24a81fd9e5083a27a8eadf6d84aaeb25c6ac | [
"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 | 17,534 | lean | /-
Copyright (c) 2015 Nathaniel Thomas. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Nathaniel Thomas, Jeremy Avigad, Johannes HΓΆlzl, Mario Carneiro
-/
import algebra.module.linear_map
import algebra.module.equiv
import group_theory.group_action.sub_mul_action
/-!
#... |
e1c6353ab23f4d9ed61055c826dfafa7adb11caf | 32317185abf7e7c963f4c67c190aec61af6b3628 | /library/data/nat/bigops.lean | 6784624bf6cbc1d30f0e93ae63a4ca957f736747 | [
"Apache-2.0"
] | permissive | Andrew-Zipperer-unorganized/lean | 198a2317f21198cd8d26e7085e484b86277f17f7 | dcb35008e1474a0abebe632b1dced120e5f8c009 | refs/heads/master | 1,622,526,520,945 | 1,453,576,559,000 | 1,454,612,842,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 7,407 | lean | /-
Copyright (c) 2015 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Jeremy Avigad
Finite sums and products over intervals of natural numbers.
-/
import data.nat.order algebra.group_bigops algebra.interval
namespace nat
/- sums -/
section add_monoid
... |
86d4f5a3a276adf6e90793952ad790d09f5640f2 | b70447c014d9e71cf619ebc9f539b262c19c2e0b | /hott/types/eq.hlean | 1519ec50b5d87c44b7890b63de69dd0b918e10f5 | [
"Apache-2.0"
] | permissive | ia0/lean2 | c20d8da69657f94b1d161f9590a4c635f8dc87f3 | d86284da630acb78fa5dc3b0b106153c50ffccd0 | refs/heads/master | 1,611,399,322,751 | 1,495,751,007,000 | 1,495,751,007,000 | 93,104,167 | 0 | 0 | null | 1,496,355,488,000 | 1,496,355,487,000 | null | UTF-8 | Lean | false | false | 21,849 | 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)
-/
import types.sigma
open eq sigma sigma.ops equiv is_equiv is_trunc
namespace eq
/- P... |
e2ee5827ab26527ed3d6d4fbb0a8439a6e82f99a | 69d4931b605e11ca61881fc4f66db50a0a875e39 | /src/algebra/lie/solvable.lean | c86d78d44197e0024c485fd45396d4b198ca43ad | [
"Apache-2.0"
] | permissive | abentkamp/mathlib | d9a75d291ec09f4637b0f30cc3880ffb07549ee5 | 5360e476391508e092b5a1e5210bd0ed22dc0755 | refs/heads/master | 1,682,382,954,948 | 1,622,106,077,000 | 1,622,106,077,000 | 149,285,665 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 14,024 | lean | /-
Copyright (c) 2021 Oliver Nash. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Oliver Nash
-/
import algebra.lie.ideal_operations
import algebra.lie.abelian
import order.preorder_hom
/-!
# Solvable Lie algebras
Like groups, Lie algebras admit a natural concept of ... |
92980efbd57a1bdbd22bd6833f48133c29367633 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/Init/Data/Array/Mem.lean | 1c6ec08e958a905fa044c27c4f4b034268c1e286 | [
"Apache-2.0",
"LLVM-exception",
"NCSA",
"LGPL-3.0-only",
"LicenseRef-scancode-inner-net-2.0",
"BSD-3-Clause",
"LGPL-2.0-or-later",
"Spencer-94",
"LGPL-2.1-or-later",
"HPND",
"LicenseRef-scancode-pcre",
"ISC",
"LGPL-2.1-only",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | leanprover/lean4 | 4bdf9790294964627eb9be79f5e8f6157780b4cc | f1f9dc0f2f531af3312398999d8b8303fa5f096b | refs/heads/master | 1,693,360,665,786 | 1,693,350,868,000 | 1,693,350,868,000 | 129,571,436 | 2,827 | 311 | Apache-2.0 | 1,694,716,156,000 | 1,523,760,560,000 | Lean | UTF-8 | Lean | false | false | 2,193 | 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
-/
prelude
import Init.Data.Array.Basic
import Init.Data.Nat.Linear
import Init.Data.List.BasicAux
theorem List.sizeOf_get_lt [SizeOf Ξ±] (as : List Ξ±) (i : Fi... |
c46121fa1117eeb63c605788b441bb59a3ad47fa | 86f6f4f8d827a196a32bfc646234b73328aeb306 | /examples/logic/unnamed_423.lean | 1990833eb9b345c442fe437fc6da3a92f6e5df7b | [] | no_license | jamescheuk91/mathematics_in_lean | 09f1f87d2b0dce53464ff0cbe592c568ff59cf5e | 4452499264e2975bca2f42565c0925506ba5dda3 | refs/heads/master | 1,679,716,410,967 | 1,613,957,947,000 | 1,613,957,947,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 632 | lean | import data.real.basic
variables (f g : β β β)
-- BEGIN
def fn_even (f : β β β) : Prop := β x, f x = f (-x)
def fn_odd (f : β β β) : Prop := β x, f x = - f (-x)
example (ef : fn_even f) (eg : fn_even g) : fn_even (Ξ» x, f x + g x) :=
begin
intro x,
calc
(Ξ» x, f x + g x) x = f x + g x : rfl
... |
335774aa5ed69bd7c774f4ef25dabbaaf08ea64f | 2eab05920d6eeb06665e1a6df77b3157354316ad | /src/linear_algebra/free_module/rank.lean | d23cf5a7782d599b01dcf3aeb2f5ab5859d3ecfa | [
"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 | 3,612 | lean | /-
Copyright (c) 2021 Riccardo Brasca. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Riccardo Brasca
-/
import linear_algebra.free_module.basic
import linear_algebra.finsupp_vector_space
/-!
# Rank of free modules
This is a basic API for the rank of free modules.
... |
3d7687acbe1f8cc675088f81bfeab06c36b8b091 | 69d4931b605e11ca61881fc4f66db50a0a875e39 | /src/analysis/normed_space/multilinear.lean | da9426bf6c04710761798de629d58f90cf67301d | [
"Apache-2.0"
] | permissive | abentkamp/mathlib | d9a75d291ec09f4637b0f30cc3880ffb07549ee5 | 5360e476391508e092b5a1e5210bd0ed22dc0755 | refs/heads/master | 1,682,382,954,948 | 1,622,106,077,000 | 1,622,106,077,000 | 149,285,665 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 72,042 | lean | /-
Copyright (c) 2020 SΓ©bastien GouΓ«zel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: SΓ©bastien GouΓ«zel
-/
import analysis.normed_space.operator_norm
import topology.algebra.multilinear
/-!
# Operator norm on the space of continuous multilinear maps
When `f` is a c... |
04c046baba54fc5472d3604f9ea0712b2ab3005c | 19cc34575500ee2e3d4586c15544632aa07a8e66 | /src/data/finsupp/basic.lean | 8eadf22566b3ea49b3175bbc3259f0683aa9753d | [
"Apache-2.0"
] | permissive | LibertasSpZ/mathlib | b9fcd46625eb940611adb5e719a4b554138dade6 | 33f7870a49d7cc06d2f3036e22543e6ec5046e68 | refs/heads/master | 1,672,066,539,347 | 1,602,429,158,000 | 1,602,429,158,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 73,834 | lean | /-
Copyright (c) 2017 Johannes HΓΆlzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes HΓΆlzl, Scott Morrison
-/
import algebra.group.pi
import algebra.big_operators.order
import algebra.module.basic
import data.fintype.card
import data.finset.preimage
import dat... |
827ccf058f68858d2ffd54655760c43ddf6827d7 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/algebra/category/Module/filtered_colimits.lean | 39cf4e67f18cf92846cdb8d9f2fb668c36f3ec73 | [
"Apache-2.0"
] | permissive | Vierkantor/mathlib | 0ea59ac32a3a43c93c44d70f441c4ee810ccceca | 83bc3b9ce9b13910b57bda6b56222495ebd31c2f | refs/heads/master | 1,658,323,012,449 | 1,652,256,003,000 | 1,652,256,003,000 | 209,296,341 | 0 | 1 | Apache-2.0 | 1,568,807,655,000 | 1,568,807,655,000 | null | UTF-8 | Lean | false | false | 7,268 | lean | /-
Copyright (c) 2021 Justus Springer. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Justus Springer
-/
import algebra.category.Group.filtered_colimits
import algebra.category.Module.basic
/-!
# The forgetful functor from `R`-modules preserves filtered colimits.
For... |
ae0eb4b6454bf9df39ef54fed8ccb245eb1486ec | b3fced0f3ff82d577384fe81653e47df68bb2fa1 | /test/examples.lean | 773d1a76e7d23c72bacf084a556b138ab1a72abb | [
"Apache-2.0"
] | permissive | ratmice/mathlib | 93b251ef5df08b6fd55074650ff47fdcc41a4c75 | 3a948a6a4cd5968d60e15ed914b1ad2f4423af8d | refs/heads/master | 1,599,240,104,318 | 1,572,981,183,000 | 1,572,981,183,000 | 219,830,178 | 0 | 0 | Apache-2.0 | 1,572,980,897,000 | 1,572,980,896,000 | null | UTF-8 | Lean | false | false | 5,815 | lean | import tactic data.stream.basic data.set.basic data.finset data.multiset
category.traversable.derive
open tactic
universe u
variable {Ξ± : Type}
example (s t u : set β) (h : s β t β© u) (h' : u β s) : u β s β true :=
begin
dunfold has_subset.subset has_inter.inter at *,
-- trace_state,
intro1, triv
end
ex... |
5332c94a7be302c8eea00ed1b85b7eb37f654fef | bdd56e6eb0f467437e368d613de75299495d4054 | /src/data/dvector.lean | 06f128328204a40a381db4e91eb0f3bbc9c53a80 | [] | no_license | truong111000/formalabstracts | 49a04c268ccee136e48e24e9d5dcb6fedea4b53e | 93a89a5c05c6fbc23eb9b914b60dcc353e609cd2 | refs/heads/master | 1,589,551,767,824 | 1,555,708,723,000 | 1,555,708,723,000 | 182,326,292 | 0 | 0 | null | 1,555,708,332,000 | 1,555,708,331,000 | null | UTF-8 | Lean | false | false | 10,613 | lean | import tactic.tidy data.pnat
universes u v w
@[derive decidable_eq]inductive dvector (Ξ± : Type u) : β β Type u
| nil {} : dvector 0
| cons : β{n} (x : Ξ±) (xs : dvector n), dvector (n+1)
@[derive decidable_eq]inductive dfin : β β Type
| fz {n} : dfin (n+1)
| fs {n} : dfin n β dfin (n+1)
namespace dfin
@[simp] def to... |
7246ea8a8685037dd268148ec9f4da47b1c61426 | 80cc5bf14c8ea85ff340d1d747a127dcadeb966f | /src/algebra/ring/pi.lean | 6d41616e06a7771f7ddc85032d0ebba40939323f | [
"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 | 3,001 | lean | /-
Copyright (c) 2018 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon, Patrick Massot
-/
import tactic.pi_instances
import algebra.group.pi
import algebra.ring.basic
/-!
# Pi instances for ring
This file defines instances for ring, semiring an... |
22e78bb21ff9d3cd6f0e9151ba459c7bc23d70da | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/analysis/calculus/local_extr.lean | 4cdcfeacb43e70de0899b887468d20f10baaec90 | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 20,797 | lean | /-
Copyright (c) 2019 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov
-/
import analysis.calculus.deriv.polynomial
import topology.algebra.order.extend_from
import topology.algebra.polynomial
/-!
# Local extrema of smooth functions
> T... |
a484c193b8e5371f227377df80bad643bd69fad2 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/ring_theory/algebra_tower.lean | 0a0515b1a5f51ebb49bc118f3b48d8f65eda1b45 | [] | 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 | 9,962 | lean | /-
Copyright (c) 2020 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.algebra.algebra.tower
import Mathlib.algebra.invertible
import Mathlib.linear_algebra.basis
import Ma... |
449231be22eef4e507223ad4468f001420161688 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/algebra/hom/units.lean | c6e5cc49872881a96c5ad6d7b953835b12439ae9 | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 13,935 | lean | /-
Copyright (c) 2018 Johan Commelin All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin, Chris Hughes, Kevin Buzzard
-/
import algebra.hom.group
import algebra.group.units
/-!
# Monoid homomorphisms and units
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any... |
21b3bfe59e604e9fcd682c84490aa53642781974 | 856e2e1615a12f95b551ed48fa5b03b245abba44 | /src/data/real/nnreal.lean | 4b31fa3900a7f045c277cd245bb9864aea8b1561 | [
"Apache-2.0"
] | permissive | pimsp/mathlib | 8b77e1ccfab21703ba8fbe65988c7de7765aa0e5 | 913318ca9d6979686996e8d9b5ebf7e74aae1c63 | refs/heads/master | 1,669,812,465,182 | 1,597,133,610,000 | 1,597,133,610,000 | 281,890,685 | 1 | 0 | null | 1,595,491,577,000 | 1,595,491,576,000 | null | UTF-8 | Lean | false | false | 25,779 | lean | /-
Copyright (c) 2018 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin
Nonnegative real numbers.
-/
import algebra.linear_ordered_comm_group_with_zero
import algebra.big_operators.ring
import data.finset.lattice
import data.real.basic
impo... |
f47d179868639e01de7ec8af75f95884119f1237 | 4fa161becb8ce7378a709f5992a594764699e268 | /src/category_theory/equivalence.lean | 978002281148fb63d1b55bfeaa435c088461b6ab | [
"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 | 14,752 | lean | /-
Copyright (c) 2017 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Tim Baumann, Stephen Morgan, Scott Morrison, Floris van Doorn
-/
import category_theory.fully_faithful
import category_theory.whiskering
import tactic.slice
namespace category_theory
... |
21815ae881490a80436eca42ebbddaf5ce40de4b | d9d511f37a523cd7659d6f573f990e2a0af93c6f | /src/data/finsupp/basic.lean | 0b375d281d6606f95aaa8920ee96271b407dbf6c | [
"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 | 106,131 | lean | /-
Copyright (c) 2017 Johannes HΓΆlzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes HΓΆlzl, Scott Morrison
-/
import data.finset.preimage
import algebra.indicator_function
import algebra.group_action_hom
/-!
# Type of functions with finite support
For any ty... |
d94a1ec39fb120429721238f3df5b84ce536671f | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/category_theory/limits/shapes/reflexive_auto.lean | beca4841e387814b85152c5f9916bada8c537080 | [] | 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 | 8,533 | 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 Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.category_theory.adjunction.default
import Mathlib.category_theory.limits.shapes.equalizers
impo... |
3eb8bcc53b1289e3d706cd9b1c9e71f2a72baf9d | 07c6143268cfb72beccd1cc35735d424ebcb187b | /src/analysis/normed_space/basic.lean | 3dadf36205989b4eec162e83145ad0b3a0b262b5 | [
"Apache-2.0"
] | permissive | khoek/mathlib | bc49a842910af13a3c372748310e86467d1dc766 | aa55f8b50354b3e11ba64792dcb06cccb2d8ee28 | refs/heads/master | 1,588,232,063,837 | 1,587,304,803,000 | 1,587,304,803,000 | 176,688,517 | 0 | 0 | Apache-2.0 | 1,553,070,585,000 | 1,553,070,585,000 | null | UTF-8 | Lean | false | false | 40,458 | 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 HΓΆlzl
-/
import algebra.pi_instances
import linear_algebra.basic
import topology.instances.nnreal topology.instances.complex
import topology.algebra.module
im... |
b2d7986e59b2c681308a0a08727899a780f45fb5 | 05b503addd423dd68145d68b8cde5cd595d74365 | /src/algebra/field.lean | ee6e32642e3355cf2526ae4f01996ee04b010bcf | [
"Apache-2.0"
] | permissive | aestriplex/mathlib | 77513ff2b176d74a3bec114f33b519069788811d | e2fa8b2b1b732d7c25119229e3cdfba8370cb00f | refs/heads/master | 1,621,969,960,692 | 1,586,279,279,000 | 1,586,279,279,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 5,061 | lean | /-
Copyright (c) 2017 Johannes HΓΆlzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes HΓΆlzl, Mario Carneiro
-/
import logic.basic algebra.ring algebra.group_with_zero
open set
universe u
variables {Ξ± : Type u}
@[priority 100] -- see Note [lower instance prior... |
29db49c4d8bd067e948f4578c6085982f26148da | 2c096fdfecf64e46ea7bc6ce5521f142b5926864 | /src/Lean/Data/JsonRpc.lean | 2121b62419dae371faa72d5b7bf07fa3d6073ca3 | [
"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 | 13,639 | lean | /-
Copyright (c) 2020 Marc Huisinga. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Marc Huisinga, Wojciech Nawrocki
-/
import Init.Control
import Init.System.IO
import Lean.Data.RBTree
import Lean.Data.Json
/-! Implementation of JSON-RPC 2.0 (https://www.jsonrpc.org... |
2a27bfa5de1a3c47bd71e654efcfc7559e9ffbca | 30b012bb72d640ec30c8fdd4c45fdfa67beb012c | /tactic/mk_iff_of_inductive_prop.lean | cff6aba96cb5e135ac367b7ce3ce6af117f18dee | [
"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 | 6,893 | lean | /-
Copyright (c) 2018 Johannes HΓΆlzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes HΓΆlzl
Generation function for iff rules for inductives, like for `list.chain`:
β{Ξ± : Type*} (R : Ξ± β Ξ± β Prop) (a : Ξ±) (l : list Ξ±),
chain R a l β l = [] β¨ β{b : Ξ±... |
1e44059248455bf5127e8714c17fe490bdf847e2 | bbecf0f1968d1fba4124103e4f6b55251d08e9c4 | /src/geometry/manifold/smooth_manifold_with_corners.lean | 9aa609e9d202728b6fc5c0f898b1352bf5ef3f5b | [
"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 | 41,634 | lean | /-
Copyright (c) 2019 SΓ©bastien GouΓ«zel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: SΓ©bastien GouΓ«zel
-/
import analysis.calculus.times_cont_diff
import geometry.manifold.charted_space
/-!
# Smooth manifolds (possibly with boundary or corners)
A smooth manifold i... |
46791912ba653c3ed2ac5a9d329c9f8df4fc0fae | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/linear_algebra/pi.lean | 9d55eab4bb20a378b4ef482776afbefd364a2b60 | [
"Apache-2.0"
] | permissive | jjgarzella/mathlib | 96a345378c4e0bf26cf604aed84f90329e4896a2 | 395d8716c3ad03747059d482090e2bb97db612c8 | refs/heads/master | 1,686,480,124,379 | 1,625,163,323,000 | 1,625,163,323,000 | 281,190,421 | 2 | 0 | Apache-2.0 | 1,595,268,170,000 | 1,595,268,169,000 | null | UTF-8 | Lean | false | false | 12,808 | lean | /-
Copyright (c) 2017 Johannes HΓΆlzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes HΓΆlzl, Mario Carneiro, Kevin Buzzard, Yury Kudryashov, Eric Wieser
-/
import linear_algebra.basic
/-!
# Pi types of modules
This file defines constructors for linear maps wh... |
b1b5ab65b0e983cc2d70bafb1bf2c66487c75935 | 947b78d97130d56365ae2ec264df196ce769371a | /tests/lean/run/extern.lean | 84a3c515d012f0fa235baa5e2f7b0ba13b0d9925 | [
"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 | 318 | lean | new_frontend
@[extern]
def foo (x : Nat) := x
@[extern "bla"]
def foo2 (x : Nat) := x
@[extern 2 "boo"]
def foo3 (x : Nat) := x
@[extern cpp "Lean::bla" llvm "lean_bla"]
def foo4 (x : Bool) := x
@[extern cpp inline "#1 && #2"]
def foo5 (x y : Bool) := x
@[extern cpp adhoc llvm "foo"]
def foo6 (x y : Bool) := x
|
1b1d290dbff704d1b7d86143904ab696fe034b9e | b7f22e51856f4989b970961f794f1c435f9b8f78 | /hott/hit/pushout.hlean | 908a17e5233e4f7bc818996e2f8350deac956533 | [
"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 | 12,891 | hlean | /-
Copyright (c) 2015-16 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn, Ulrik Buchholtz
Declaration and properties of the pushout
-/
import .quotient types.sigma types.arrow_2
open quotient eq sum equiv is_trunc
namespace pushout... |
710d3139400c5661ad864a6e765bfe6125a5026f | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/linear_algebra/lagrange.lean | cf03e714c1cb0b9a69d6b3be9d92cc2ddbe1ed31 | [
"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 | 7,092 | lean | /-
Copyright (c) 2020 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Kenny Lau.
-/
import ring_theory.polynomial
import algebra.big_operators.basic
/-!
# Lagrange interpolation
## Main definitions
* `lagrange.basis s x` where `s : finset F` and `x : F`: t... |
afda772d936d6bdfd1ef7d0b433553344ca1694f | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/data/list/pairwise_auto.lean | b352f6f770a5d759bea9bda21d0b95427f328058 | [] | no_license | AurelienSaue/Mathlib4_auto | f538cfd0980f65a6361eadea39e6fc639e9dae14 | 590df64109b08190abe22358fabc3eae000943f2 | refs/heads/master | 1,683,906,849,776 | 1,622,564,669,000 | 1,622,564,669,000 | 371,723,747 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 10,835 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.data.list.basic
import Mathlib.PostPort
universes u v
namespace Mathlib
namespace list
... |
150538370de750475017c16f6a05bbef4cfa5f6c | 432d948a4d3d242fdfb44b81c9e1b1baacd58617 | /src/analysis/calculus/local_extr.lean | 2fcb5e3c6cd85afbdcf73e4fe328e74e04de2597 | [
"Apache-2.0"
] | permissive | JLimperg/aesop3 | 306cc6570c556568897ed2e508c8869667252e8a | a4a116f650cc7403428e72bd2e2c4cda300fe03f | refs/heads/master | 1,682,884,916,368 | 1,620,320,033,000 | 1,620,320,033,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 16,926 | lean | /-
Copyright (c) 2019 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov
-/
import topology.local_extr
import analysis.calculus.deriv
/-!
# Local extrema of smooth functions
## Main definitions
In a real normed space `E` we define `pos_t... |
b1ff6a51e9e626aeada2bede8951cbe545e85a4d | 0d2e44896897eda703992595d71a0b19ed30b8a1 | /uexp/tactic_paper_supplemental_material/monoid_cancellation/cancellation_solver_opt.lean | 06e08f8920a1bf3600a7e24de465c39759e24fc8 | [
"BSD-2-Clause"
] | permissive | wwombat/Cosette | a87312aabefdb53ea8b67c37731bd58c7485afb6 | 4c5dc6172e24d3546c9818ac1fad06f72fe1c991 | refs/heads/master | 1,619,479,568,051 | 1,520,292,502,000 | 1,520,292,502,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,041 | lean | import .cancellation_solver
local infix * := star
open tactic expr
namespace opt
set_option eqn_compiler.max_steps 20000
meta def iter_right : tactic unit :=
do t β target,
match t with
| `(%%a = o * %%b) := apply `(@plus_unit_c %%a %%b)
| `((%%a * %%b) * %%c = %%d) :=
(apply `(@plus_assoc_c1 %%a %%... |
41c5b2e8ca6654f5e1ecbc504bd789e760acdda2 | 7cdf3413c097e5d36492d12cdd07030eb991d394 | /src/game/world4/level7.lean | 8d2e81c653c073c7b25a825328f7511bb261424a | [] | no_license | alreadydone/natural_number_game | 3135b9385a9f43e74cfbf79513fc37e69b99e0b3 | 1a39e693df4f4e871eb449890d3c7715a25c2ec9 | refs/heads/master | 1,599,387,390,105 | 1,573,200,587,000 | 1,573,200,691,000 | 220,397,084 | 0 | 0 | null | 1,573,192,734,000 | 1,573,192,733,000 | null | UTF-8 | Lean | false | false | 817 | lean | import game.world4.level6 -- hide
namespace mynat -- hide
/-
# World 4 : Power World
## Level 7 : `pow_pow`
-/
/-
Boss level! What will the collectible be?
-/
/- Lemma
For all naturals $a$, $m$, $n$, we have $(a ^ m) ^ n = a ^ {mn}$.
-/
lemma pow_pow (a m n : mynat) : (a ^ m) ^ n = a ^ (m * n) :=
begin [less_leaky... |
007fd8cb2067f1815ab94cd304bfe27fc7a43b80 | 46125763b4dbf50619e8846a1371029346f4c3db | /src/category_theory/limits/limits.lean | b48be9b3313abb810619f9cb3d5950323e9fd749 | [
"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 | 36,825 | lean | /-
Copyright (c) 2018 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Reid Barton, Mario Carneiro, Scott Morrison, Floris van Doorn
-/
import category_theory.whiskering
import category_theory.yoneda
import category_theory.limits.cones
import category_the... |
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