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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
e5d577e9229162308e8fa8ec93888b2eab90a186 | 97c8e5d8aca4afeebb5b335f26a492c53680efc8 | /ground_zero/types/dep_path.lean | a21cbc9bfac99f5f51fff11507c7fb177041aef9 | [] | no_license | jfrancese/lean | cf32f0d8d5520b6f0e9d3987deb95841c553c53c | 06e7efaecce4093d97fb5ecc75479df2ef1dbbdb | refs/heads/master | 1,587,915,151,351 | 1,551,012,140,000 | 1,551,012,140,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,477 | lean | import ground_zero.types.eq
namespace ground_zero.types
universes u v
inductive dep_path {α : Sort u} (π : α → Sort v) :
Π {a b : α} (p : a = b :> α) (u : π a) (v : π b), Sort (max u v)
| refl (a : α) (u : π a) : dep_path (eq.refl a) u u
attribute [refl] dep_path.refl
notation u ` =[` P `,` p `] ` v := dep_path P ... |
b993c09ddf8e5734096abac6c0c4832a516131ad | 4efff1f47634ff19e2f786deadd394270a59ecd2 | /src/category_theory/limits/shapes/binary_products.lean | bed8935e2b76a979fb6f3654a3b889731c333f59 | [
"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 | 21,935 | lean | /-
Copyright (c) 2019 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison, Bhavik Mehta
-/
import category_theory.limits.limits
import category_theory.discrete_category
/-!
# Binary (co)products
We define a category `walking_pair`, which is ... |
7cca6383df0ba9d30189a85043794ee81a4bce26 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/Lean3Lib/data/rbtree/min_max_auto.lean | d0074a7dd60dc4e27e0d7f844a23d832c29ee570 | [] | 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 | 1,506 | lean | /-
Copyright (c) 2017 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.Lean3Lib.data.rbtree.basic
universes u
namespace Mathlib
namespace rbnode
t... |
6332fb5d73cacbc138c99674ec632caeff3398c6 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/syntaxPrec.lean | 7c0d37ffa35ae7b5f106785874e52bf4cc1fca98 | [
"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 | 135 | lean | syntax "foo" term <|> "bar" term : term -- should not compile
set_option trace.Elab.command true
syntax "foo" ("*" <|> term,+) : term
|
8f445d74cb51c7a47aea51bc235a5340746238be | 5c43b2debfb9d0bb58879986aa53799864d3c01d | /chapter_1.lean | fc417eb120788a282f028959c47d1157693a2148 | [
"Apache-2.0"
] | permissive | wgabrielong/NT_lean | 571f5c435256c1dfbe67291fa5c7438ade742c80 | c4fd8c1d699ff3630844e0960f82a6ad9746fce0 | refs/heads/main | 1,687,551,371,985 | 1,627,473,260,000 | 1,627,473,260,000 | 390,287,756 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,600 | lean | import data.pnat.prime
import tactic.linarith
open nat
/-
This code outlines formalizes the proofs in Chapter 1 of Hardy and Wright's "An Introduction to the Theory of Numbers".
Where availible, the theorems are proven using tools directly availible in mathlib.
-/
/-
Theorem 1: Every positive integer, excep... |
3e5d647c63511a024d10ceea39566a2594a1a43a | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/namespaceIssue.lean | 987e13d9ae79768654eb3b66c46407ba6be70af4 | [
"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 | 74 | lean |
def Bla.x := 10
namespace Foo
export Bla(x)
end Foo
open Foo
#check x
|
b5ab5d186828c190602b5ed153eef9b3286285a6 | 80cc5bf14c8ea85ff340d1d747a127dcadeb966f | /src/data/multiset/erase_dup.lean | 759aeb6665fd46ecbdeb5c6a06c53cb480f87954 | [
"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 | 3,028 | lean | /-
Copyright (c) 2017 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Mario Carneiro
-/
import data.multiset.nodup
/-!
# Erasing duplicates in a multiset.
-/
namespace multiset
open list
variables {α β : Type*} [decidable_eq α]
/-! ### erase_dup -/
/... |
5aaa25384702a5c4601f0c848777567b7e0f466a | a2ee6a66690e8da666951cac0c243d42db11f9f3 | /src/analysis/special_functions/trigonometric.lean | fe9a373b8d2a182cb671fe18c94e585f89431ee0 | [
"Apache-2.0"
] | permissive | shyamalschandra/mathlib | 6d414d7c334bf383e764336843f065bd14c44273 | ca679acad147870b2c5087d90fe3550f107dea49 | refs/heads/master | 1,671,730,354,335 | 1,601,883,576,000 | 1,601,883,576,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 81,611 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Abhimanyu Pallavi Sudhir, Jean Lo, Calle Sönne, Benjamin Davidson
-/
import analysis.special_functions.exp_log
/-!
# Trigonometric functions
## Main definitions
This fil... |
e0b816cf9553651a79ead1bd48a80def20a6c973 | 02005f45e00c7ecf2c8ca5db60251bd1e9c860b5 | /src/algebra/continued_fractions/computation/terminates_iff_rat.lean | b88a595c4c028fa8366bfa0230c99a6355158882 | [
"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 | 14,070 | lean | /-
Copyright (c) 2020 Kevin Kappelmann. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kevin Kappelmann
-/
import algebra.continued_fractions.computation.approximations
import algebra.continued_fractions.computation.correctness_terminating
import data.rat
/-!
# Termina... |
eeb08fc6304b63c46a21effa34fb565f57092334 | 367134ba5a65885e863bdc4507601606690974c1 | /src/measure_theory/lp_space.lean | 2dca4bfa0eb64d4797ba3cf2c502761dbd89cfb0 | [
"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 | 69,300 | lean | /-
Copyright (c) 2020 Rémy Degenne. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Rémy Degenne, Sébastien Gouëzel
-/
import measure_theory.ess_sup
import measure_theory.ae_eq_fun
import analysis.mean_inequalities
/-!
# ℒp space and Lp space
This file describes prope... |
d74d923465a26b6422a81d1408cfe79be1dfcbdf | 1446f520c1db37e157b631385707cc28a17a595e | /stage0/src/Init/Lean/Data/Options.lean | 9d451083e6b828bc326c680a380797cc6402d17c | [
"Apache-2.0"
] | permissive | bdbabiak/lean4 | cab06b8a2606d99a168dd279efdd404edb4e825a | 3f4d0d78b2ce3ef541cb643bbe21496bd6b057ac | refs/heads/master | 1,615,045,275,530 | 1,583,793,696,000 | 1,583,793,696,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,408 | lean | /-
Copyright (c) 2018 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sebastian Ullrich and Leonardo de Moura
-/
prelude
import Init.System.IO
import Init.Data.Array
import Init.Data.ToString
import Init.Lean.Data.KVMap
namespace Lean
def Option... |
1261f38a8ad3d2cd01b9843676ee641407ebad65 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /test/monotonicity/test_cases.lean | 8669a612a695b2009c7a32143ca85052f3ca59a9 | [
"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 | 3,351 | lean | /-
Copyright (c) 2019 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon
-/
import tactic.monotonicity.interactive
open list tactic tactic.interactive
meta class elaborable (α : Type) (β : out_param Type) :=
(elaborate : α → tactic β)
export e... |
20eeaabc3e7eb644ba5c323a3f9a9bc426ab9c53 | bb31430994044506fa42fd667e2d556327e18dfe | /src/data/fin/vec_notation.lean | e19013da4447549702672580561761d6f130efce | [
"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 | 13,978 | lean | /-
Copyright (c) 2020 Anne Baanen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Anne Baanen
-/
import data.fin.tuple.basic
import data.list.range
import group_theory.group_action.pi
import meta.univs
/-!
# Matrix and vector notation
This file defines notation for v... |
341b83096fe787ad2c490285dbeb4d7efa3da7e6 | ea11767c9c6a467c4b7710ec6f371c95cfc023fd | /src/monoidal_categories/coherence.lean | 1aa7864b0d4b41f794e81005ae3701e62b9d3627 | [] | no_license | RitaAhmadi/lean-monoidal-categories | 68a23f513e902038e44681336b87f659bbc281e0 | 81f43e1e0d623a96695aa8938951d7422d6d7ba6 | refs/heads/master | 1,651,458,686,519 | 1,529,824,613,000 | 1,529,824,613,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,005 | lean | import .monoidal_category
open categories.monoidal_category
universes u₁ v₁
variables {C : Type u₁} [𝒞 : monoidal_category.{u₁ v₁} C]
include 𝒞
inductive monoidal_coherence_step : C → Type u₁
| left_unitor : Π X : C, monoidal_coherence_step ((monoidal_category.tensor_unit C) ⊗ X)
| left_tensor : Π (X Y : C) [m... |
00ff7f317daa16254435c315c47b15d14f9203ab | 491068d2ad28831e7dade8d6dff871c3e49d9431 | /tests/lean/693.lean | 34f9c9064831609a46a1138d1b1accfd978be7a9 | [
"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 | 607 | lean | open nat nat_esimp
definition foo [unfold 1 3] (a : nat) (b : nat) (c :nat) : nat :=
(a + c) * b
example (c : nat) : c = 1 → foo 1 c 0 = foo 1 1 0 :=
begin
intro h,
esimp,
state,
subst c
end
example (b c : nat) : c = 1 → foo 1 c b = foo 1 1 b :=
begin
intro h,
esimp, -- should not unfold foo
state,
... |
b15b5d53e58b69f4c2d8670c7ce8e2dc9ad123e3 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/field_theory/separable_degree.lean | b0314e1a1c4c03b050983c1475f8d11e0bf1683d | [
"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 | 5,439 | lean | /-
Copyright (c) 2021 Jakob Scholbach. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jakob Scholbach
-/
import algebra.algebra.basic
import algebra.char_p.exp_char
import field_theory.separable
/-!
# Separable degree
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any... |
0f4d92c8ff4a4b71cc53860f15cc9a4c17d720d6 | 618003631150032a5676f229d13a079ac875ff77 | /src/category_theory/natural_transformation.lean | 622f7f530a77649dc2c7c7a928d7e4b9793461a3 | [
"Apache-2.0"
] | permissive | awainverse/mathlib | 939b68c8486df66cfda64d327ad3d9165248c777 | ea76bd8f3ca0a8bf0a166a06a475b10663dec44a | refs/heads/master | 1,659,592,962,036 | 1,590,987,592,000 | 1,590,987,592,000 | 268,436,019 | 1 | 0 | Apache-2.0 | 1,590,990,500,000 | 1,590,990,500,000 | null | UTF-8 | Lean | false | false | 2,749 | 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
Defines natural transformations between functors.
Introduces notations
`τ.app X` for the components of natural transfo... |
1a1bf55e9476cdfb41b4a296f5ab74fed607f6c1 | ad0c7d243dc1bd563419e2767ed42fb323d7beea | /data/fintype.lean | bdfb97fca8e54b69fcd9bacafde5afca4950c2d2 | [
"Apache-2.0"
] | permissive | sebzim4500/mathlib | e0b5a63b1655f910dee30badf09bd7e191d3cf30 | 6997cafbd3a7325af5cb318561768c316ceb7757 | refs/heads/master | 1,585,549,958,618 | 1,538,221,723,000 | 1,538,221,723,000 | 150,869,076 | 0 | 0 | Apache-2.0 | 1,538,229,323,000 | 1,538,229,323,000 | null | UTF-8 | Lean | false | false | 25,589 | lean | /-
Copyright (c) 2017 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Mario Carneiro
Finite types.
-/
import data.finset algebra.big_operators data.array.lemmas data.vector2
universes u v
variables {α : Type*} {β : Type*} {γ : Type*}
/-- `fintype α` me... |
a008a2231fff60cf785cbfec65b1fb927e5c4caf | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/setOptionTermTactic.lean | 8089af352a27fd6febbb51e0105a07cabc454d9a | [
"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 | 257 | lean | def f (x : Nat) : Nat :=
x + (set_option trace.Meta.synthInstance true in 1)
def g (x : Nat) : Nat := 0 + x.succ
theorem ex : f = g := by
simp only [f]
set_option trace.Meta.Tactic.simp true in simp only [Nat.add_succ, g]
simp only [Nat.zero_add]
|
ac9f90efb24e18616dcb85e5cfa774e5a62c7ea3 | 2347ca473be11f805e73bef99478cf04c495ec85 | /library/init/meta/interactive.lean | 53da43239aa4e16ae59f86544fb904b555ef93cf | [
"Apache-2.0"
] | permissive | uwplse/lean | 7a16735e05ba6dc1c4acf8ed42f4a1d3eda19d48 | d83b9ef3efbf2d9eafce32c26d047e1f69539a2f | refs/heads/master | 1,625,273,223,604 | 1,505,546,402,000 | 1,505,765,099,000 | 104,110,401 | 0 | 0 | null | 1,505,844,591,000 | 1,505,844,591,000 | null | UTF-8 | Lean | false | false | 43,254 | lean | /-
Copyright (c) 2016 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
prelude
import init.meta.tactic init.meta.rewrite_tactic init.meta.simp_tactic
import init.meta.smt.congruence_closure init.category.combinators
import init... |
0cd696f48017080c5e73ee4059e18cb63b5369b6 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/algebra/category/Module/biproducts.lean | 24be464b445ce0b4b31613bde309eefdcb7e1fb4 | [
"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 | 6,146 | lean | /-
Copyright (c) 2022 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import algebra.group.pi
import category_theory.limits.shapes.biproducts
import algebra.category.Module.limits
import algebra.category.Module.abelian
import algebra.ho... |
b95538d073e71fd904943b04965b1dd0a105ed42 | 35677d2df3f081738fa6b08138e03ee36bc33cad | /src/ring_theory/adjoin_root.lean | a7422f64bef2912618f6cb923514bfbf4481ead6 | [
"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 | 4,188 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Chris Hughes
Adjoining roots of polynomials
-/
import data.polynomial ring_theory.principal_ideal_domain
/-!
# Adjoining roots of polynomials
This file defines the ... |
1756c1e7a692b61ab8b4232217a4ca7e3a6f6510 | 8d65764a9e5f0923a67fc435eb1a5a1d02fd80e3 | /src/algebra/algebra/operations.lean | 54ad99e15bff25f9a80d57bc0df753a130f2dda1 | [
"Apache-2.0"
] | permissive | troyjlee/mathlib | e18d4b8026e32062ab9e89bc3b003a5d1cfec3f5 | 45e7eb8447555247246e3fe91c87066506c14875 | refs/heads/master | 1,689,248,035,046 | 1,629,470,528,000 | 1,629,470,528,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 13,083 | 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... |
51996d91a451b7441ee767507b7e1878f2fc0178 | 3dd1b66af77106badae6edb1c4dea91a146ead30 | /tests/lean/run/alias2.lean | 777903d88a0d69783c753fdf74fdc61e9e263caa | [
"Apache-2.0"
] | permissive | silky/lean | 79c20c15c93feef47bb659a2cc139b26f3614642 | df8b88dca2f8da1a422cb618cd476ef5be730546 | refs/heads/master | 1,610,737,587,697 | 1,406,574,534,000 | 1,406,574,534,000 | 22,362,176 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 331 | lean | import logic
namespace N1
variable num : Type.{1}
variable foo : num → num → num
end
namespace N2
variable val : Type.{1}
variable foo : val → val → val
end
using N2
using N1
variables a b : num
variable f : num → val
coercion f
definition aux2 := foo a b
check aux2
theorem T3 : aux2 = N1.foo a b
:= refl _
... |
ecffbd7e61d503147c87291bcb3765979191e2e9 | a0e23cfdd129a671bf3154ee1a8a3a72bf4c7940 | /tests/lean/simpArgTypeMismatch.lean | 5a3f8ee73188cfa6684b442368728f06e438bc0a | [
"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 | 125 | lean | example (p : Prop) [Decidable p] (hnp : ¬ p) :
if decide p then 0 = 1 else 1 = 1 := by
simp [hnp, decideEqFalse Unit]
|
8396da60cf26aebe89f87912ec8d73f681ce6c7c | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/category_theory/grothendieck.lean | 6c952573cd58ab577b675194b5998bec552a25bc | [] | no_license | AurelienSaue/Mathlib4_auto | f538cfd0980f65a6361eadea39e6fc639e9dae14 | 590df64109b08190abe22358fabc3eae000943f2 | refs/heads/master | 1,683,906,849,776 | 1,622,564,669,000 | 1,622,564,669,000 | 371,723,747 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,898 | 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 Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.category_theory.category.Cat
import Mathlib.category_theory.elements
import Mathlib.PostPor... |
52314c14db898b269f0e1f6e0228b1a8b2ad3dab | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/category_theory/pempty.lean | 02da6559e1712e918286b1b81c6997aa617d75d2 | [] | 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 | 1,481 | lean | /-
Copyright (c) 2018 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison, Bhavik Mehta.
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.category_theory.discrete_category
import Mathlib.PostPort
universes v u
n... |
3cc04628f8fc8bded77443fe8b47219e6fe805bf | 491068d2ad28831e7dade8d6dff871c3e49d9431 | /tests/lean/run/695e.lean | ab1ad4c1b5da2b58086fc2348b2adf05081cd3c5 | [
"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 | 67 | lean | open nat
example (n : ℕ) : n + 1 = succ n :=
by rewrite [<d n+1]
|
6f992c812d3a1a4a704a2d85d2c47190b09cb5ec | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /tests/lean/run/e1.lean | fffe74f7ebd9809d80223f1faea8f9e0e35e8a26 | [
"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 | 328 | lean | prelude
definition Prop : Type.{1} := Type.{0}
constant eq : forall {A : Type}, A → A → Prop
constant N : Type.{1}
constants a b c : N
infix `=`:50 := eq
check a = b
constant f : Prop → N → N
constant g : N → N → N
precedence `+`:50
infixl + := f
infixl + := g
check a + b + c
constant p : Prop
check p + a + b + c
|
7fff213f1d3d41a3dcb945f06bdcb43bf9c0a923 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/data/list/dedup.lean | 20dfcd565439e774c98c01729aca574db3b4dc24 | [
"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 | 4,050 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
import data.list.nodup
/-!
# Erasure of duplicates in a list
This file proves basic results about `list.dedup` (definition in `data.list.defs`).
`dedup l` returns `... |
eb820b9c2f0420f04436842f337ec58fc9101ca4 | ea11767c9c6a467c4b7710ec6f371c95cfc023fd | /src/monoidal_categories/drinfeld_centre.lean | c8c24316eb843d411a31ed9d678d3a1d8b74f10b | [] | no_license | RitaAhmadi/lean-monoidal-categories | 68a23f513e902038e44681336b87f659bbc281e0 | 81f43e1e0d623a96695aa8938951d7422d6d7ba6 | refs/heads/master | 1,651,458,686,519 | 1,529,824,613,000 | 1,529,824,613,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,517 | lean | -- Copyright (c) 2017 Scott Morrison. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Authors: Stephen Morgan, Scott Morrison
import .braided_monoidal_category
import .tensor_with_object
open categories
open categories.functor
open categories.products
open categories.natu... |
2dca5cafb2748a61caafc8649c68e88fedd865be | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /archive/imo/imo1972_q5.lean | 8dbb28ff56f04b09055b77ba412388bf36c5bc3b | [
"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 | 4,393 | lean | /-
Copyright (c) 2020 Ruben Van de Velde, Stanislas Polu. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Ruben Van de Velde, Stanislas Polu
-/
import data.real.basic
import analysis.normed_space.basic
/-!
# IMO 1972 Q5
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> An... |
8b6c4bd8c8bfc240f41b6a9dd5e550e901bdc12b | c3f2fcd060adfa2ca29f924839d2d925e8f2c685 | /tests/lean/run/eq13.lean | d9f676e3b5497900ff4026699b2fcd8a08892b34 | [
"Apache-2.0"
] | permissive | respu/lean | 6582d19a2f2838a28ecd2b3c6f81c32d07b5341d | 8c76419c60b63d0d9f7bc04ebb0b99812d0ec654 | refs/heads/master | 1,610,882,451,231 | 1,427,747,084,000 | 1,427,747,429,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 325 | lean | open nat
definition f : nat → nat → nat
| f _ 0 := 0
| f 0 _ := 1
| f _ _ := arbitrary nat
theorem f_zero_right : ∀ a, f a 0 = 0
| f_zero_right 0 := rfl
| f_zero_right (succ _) := rfl
theorem f_zero_succ (a : nat) : f 0 (a+1) = 1 :=
rfl
theorem f_succ_succ (a b : nat) : f (a+1) (b+1) = arbitrary nat :=
rfl
|
23e7e9729b28dce11c5352023a91cd2196c51ebe | dd0f5513e11c52db157d2fcc8456d9401a6cd9da | /11_Tactic-Style_Proofs.org.31.lean | e8f6fbd6ef2b11ca05909b79f5b0b545f5e53ec4 | [] | no_license | cjmazey/lean-tutorial | ba559a49f82aa6c5848b9bf17b7389bf7f4ba645 | 381f61c9fcac56d01d959ae0fa6e376f2c4e3b34 | refs/heads/master | 1,610,286,098,832 | 1,447,124,923,000 | 1,447,124,923,000 | 43,082,433 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 140 | lean | import standard
example (p q : Prop) : p ∧ q → q ∧ p :=
begin
intro H,
cases H with [H1, H2],
apply and.intro,
exact H2,
exact H1
end
|
99d0ec84ae44e8ce74e3b1c03fa377961fe3cb0f | 367134ba5a65885e863bdc4507601606690974c1 | /src/set_theory/ordinal_arithmetic.lean | 27476288c7296dd99fce800cde25256003c0260f | [
"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 | 70,313 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Mario Carneiro, Floris van Doorn
-/
import set_theory.ordinal
/-!
# Ordinal arithmetic
Ordinals have an addition (corresponding to disjoint union) that turns them into an additive
mon... |
5f63f4221720ca8b30a31ca77d0d17991ff2108c | 3c9dc4ea6cc92e02634ef557110bde9eae393338 | /stage0/src/Lean/Elab/MutualDef.lean | d88923fdeba90a4cfdf3f7877e673fb1e94d1d89 | [
"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 | 28,090 | 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.Parser.Term
import Lean.Meta.Closure
import Lean.Meta.Check
import Lean.Elab.Command
import Lean.Elab.DefView
import Lean.Elab.PreDefinition
imp... |
c54496df49e18976e05051f38de7cd20b5c58b10 | 88892181780ff536a81e794003fe058062f06758 | /src/knopp/chapter02.lean | 069d944c9f150e00823e1e9fda7a3811539396ae | [] | no_license | AtnNn/lean-sandbox | fe2c44280444e8bb8146ab8ac391c82b480c0a2e | 8c68afbdc09213173aef1be195da7a9a86060a97 | refs/heads/master | 1,623,004,395,876 | 1,579,969,507,000 | 1,579,969,507,000 | 146,666,368 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 136,694 | lean | /-
Chapter II.
Sequences of real numbers.
6. Arbitrary sequences and arbitrary null sequences.
We now resume our considerations of 2, and generalise them
by allowing all the numbers which there occur to be arbitrary real numbers.
Since, with these, we may operate precisely as with rational numbers,
both the d... |
1a25f0a03048a666b3bec09d51b954c07a8ccba3 | 957a80ea22c5abb4f4670b250d55534d9db99108 | /leanpkg/leanpkg/main.lean | bb10c0f9d5c9c68c9c32bfc5fee88cee59198913 | [
"Apache-2.0"
] | permissive | GaloisInc/lean | aa1e64d604051e602fcf4610061314b9a37ab8cd | f1ec117a24459b59c6ff9e56a1d09d9e9e60a6c0 | refs/heads/master | 1,592,202,909,807 | 1,504,624,387,000 | 1,504,624,387,000 | 75,319,626 | 2 | 1 | Apache-2.0 | 1,539,290,164,000 | 1,480,616,104,000 | C++ | UTF-8 | Lean | false | false | 7,544 | lean | /-
Copyright (c) 2017 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Gabriel Ebner
-/
import leanpkg.resolve leanpkg.git
variable [io.interface]
namespace leanpkg
def write_file (fn : string) (cnts : string) (mode := io.mode.write) : io unit := ... |
6ef08fd036b9826710197b6eb997666bd207e34f | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/algebra/module/pi.lean | 6f5da6bf84e494565aa378852725411a800e8d1d | [
"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 | 3,788 | 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 algebra.module.basic
import algebra.regular.smul
import algebra.ring.pi
import group_theory.group_action.pi
/-!
# Pi instances for modules
This fil... |
ed7e0db7236cedcc37359b745599334b30880b0b | 07c76fbd96ea1786cc6392fa834be62643cea420 | /hott/homotopy/hopf.hlean | f082d22f120a55fefee9a726cfb8b2ad6de8704f | [
"Apache-2.0"
] | permissive | fpvandoorn/lean2 | 5a430a153b570bf70dc8526d06f18fc000a60ad9 | 0889cf65b7b3cebfb8831b8731d89c2453dd1e9f | refs/heads/master | 1,592,036,508,364 | 1,545,093,958,000 | 1,545,093,958,000 | 75,436,854 | 0 | 0 | null | 1,480,718,780,000 | 1,480,718,780,000 | null | UTF-8 | Lean | false | false | 8,084 | 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
H-spaces and the Hopf construction
-/
import types.equiv .wedge .join
open eq eq.ops equiv is_equiv is_conn is_trunc trunc susp join ... |
1c5d7c804c611d77ceeac55f6753b3fd031c3ac2 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/analysis/special_functions/pow_deriv.lean | 2e769d520dbcd1e65ac70836c8a160ab5e57f18a | [
"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 | 25,213 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Abhimanyu Pallavi Sudhir, Jean Lo, Calle Sönne, Sébastien Gouëzel,
Rémy Degenne
-/
import analysis.special_functions.pow
import analysis.special_functions.complex.log_der... |
dad962aad8b7fdba6bba51d0a82154ebf1467d6d | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/algebra/group_with_zero/defs.lean | 6355b61d0d5e3c56ed6c76caedf70160647e5778 | [] | no_license | AurelienSaue/Mathlib4_auto | f538cfd0980f65a6361eadea39e6fc639e9dae14 | 590df64109b08190abe22358fabc3eae000943f2 | refs/heads/master | 1,683,906,849,776 | 1,622,564,669,000 | 1,622,564,669,000 | 371,723,747 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,420 | 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 Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.algebra.group.defs
import Mathlib.logic.nontrivial
import Mathlib.PostPort
universes u_4 l... |
f11e008dfc3df18bb17ff98f8a9d0c280587bd73 | a0e23cfdd129a671bf3154ee1a8a3a72bf4c7940 | /stage0/src/Lean/Compiler/IR/ElimDeadBranches.lean | 420c4e53a4ed1a9d53796eadf93c3348738c2c18 | [
"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 | 10,583 | 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.Format
import Lean.Compiler.IR.Basic
import Lean.Compiler.IR.CompilerM
namespace Lean.IR.UnreachableBranches
/-- Value used in the... |
f2c69b883f71fd8211a0e24d42ced26ddd993324 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/data/real/irrational.lean | 4aa9af6494abe2a7399fa1e668a6fd432f03825a | [
"Apache-2.0"
] | permissive | robertylewis/mathlib | 3d16e3e6daf5ddde182473e03a1b601d2810952c | 1d13f5b932f5e40a8308e3840f96fc882fae01f0 | refs/heads/master | 1,651,379,945,369 | 1,644,276,960,000 | 1,644,276,960,000 | 98,875,504 | 0 | 0 | Apache-2.0 | 1,644,253,514,000 | 1,501,495,700,000 | Lean | UTF-8 | Lean | false | false | 17,733 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Abhimanyu Pallavi Sudhir, Jean Lo, Calle Sönne, Yury Kudryashov
-/
import data.real.sqrt
import tactic.interval_cases
import ring_theory.algebraic
import data.rat.sqrt
... |
4e4299f426677285ac530b6de8491f9d722d2c32 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/algebra/category/Group/zero.lean | a58fbfeb33a4b8ab6e65741cebb2bf0eba3a6548 | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 1,573 | lean | /-
Copyright (c) 2020 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import algebra.category.Group.basic
import category_theory.limits.shapes.zero_objects
/-!
# The category of (commutative) (additive) groups has a zero object.
> THI... |
16eff1c3aef0a56a35d6627547853fad9a3f7591 | cc060cf567f81c404a13ee79bf21f2e720fa6db0 | /lean/20170403-eq.rec.lean | c227cce750688e08ae25145f9382ecd0f2dd4e28 | [
"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 | 414 | lean | def f ( x : ℕ ) := x + 1
lemma p : f 3 = 4 := begin unfold f, trivial end
structure X ( n : ℕ ) :=
( m : ℕ )
@[reducible] def g ( x : X (f 3) ) : X 4 :=
begin
refine (cast _ x),
rewrite p
end
lemma h ( x : X (f 3) ) ( p : x.m = 0 ) : (g x).m = 0 :=
begin
dsimp,
unfold g._proof_1,
-- What can I do with t... |
f974b942f71a1225daa2782021a6caf528247c3d | 54d7e71c3616d331b2ec3845d31deb08f3ff1dea | /library/init/algebra/norm_num.lean | 0ea8de1d7f7c3b6fa6650852233904302b48ce07 | [
"Apache-2.0"
] | permissive | pachugupta/lean | 6f3305c4292288311cc4ab4550060b17d49ffb1d | 0d02136a09ac4cf27b5c88361750e38e1f485a1a | refs/heads/master | 1,611,110,653,606 | 1,493,130,117,000 | 1,493,167,649,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 8,725 | lean | /-
Copyright (c) 2016 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Robert Lewis and Leonardo de Moura
-/
prelude
import init.algebra.field init.algebra.ordered_ring
import init.data.nat.lemmas
namespace norm_num
universe u
variable {α : Type u... |
01d98de302a1d27ea78700d4a2b8a4b7482260cd | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/category_theory/abelian/pseudoelements.lean | a90fef791f266d01ee946c6e7aa9ea5ce1fcb60d | [] | 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 | 13,664 | 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 Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.category_theory.abelian.exact
import Mathlib.category_theory.over
import Mathlib.PostPort
un... |
88f213416c79a40a99b492616cd0f70a378ca88b | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/data/psigma/order.lean | f55e5422d27df9fd3f6cb7e6738062d3d441e53c | [
"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 | 3,749 | lean | /-
Copyright (c) 2019 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison, Minchao Wu
-/
import data.sigma.lex
import order.lexicographic
/-!
# Lexicographic order on a sigma type
This file defines the lexicographic order on `Σₗ' i, α i`. `a... |
80e9b5d8496e044783019c0eb01fce047d351409 | 94e33a31faa76775069b071adea97e86e218a8ee | /src/analysis/normed_space/algebra.lean | fe60d558c6e4629a4bf499dc14c3a8ffedeefe88 | [
"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 | 1,739 | lean | /-
Copyright (c) 2022 Frédéric Dupuis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Frédéric Dupuis
-/
import topology.algebra.module.character_space
import analysis.normed_space.weak_dual
import analysis.normed_space.spectrum
/-!
# Normed algebras
This file conta... |
670ab71a2590816a35cdb1249e506fb60b000d57 | 6d50885e7b3f72447a03f21d5268d6af87c0a404 | /assignments/quiz1.lean | 0c91cd203b78331b73aa09ab7134240d99080b0d | [] | no_license | kevinsullivan/uva-cs-dm-s20-old | 583c756cded281fcee7f1afc42cb3e08f89c2493 | 797672cb0ffae6a42a3518c9225d5807191fd113 | refs/heads/master | 1,607,500,914,982 | 1,578,752,991,000 | 1,578,752,991,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 5,685 | lean | /-
In lean we represent: (1) propositions as
types and (2) predicates as parameterized
propositions.
A parameterized type gives rise to a whole
family of proposition, once for each value
of each parameter.
We can think of one-parameter predicates
as specifying *properties* of objects. As
an example, as defined, is_e... |
2098f3ad223d337d5aa83a496bb443bbf3ca3417 | 097294e9b80f0d9893ac160b9c7219aa135b51b9 | /instructor/predicate_logic/intro_and_elim_rules/or.lean | 310dd525cf8a3d981604845bfdad0caad32debf2 | [] | no_license | AbigailCastro17/CS2102-Discrete-Math | cf296251be9418ce90206f5e66bde9163e21abf9 | d741e4d2d6a9b2e0c8380e51706218b8f608cee4 | refs/heads/main | 1,682,891,087,358 | 1,621,401,341,000 | 1,621,401,341,000 | 368,749,959 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,531 | lean | /-
If P and Q are arbitrary propositions, then to prove
P ∨ Q, you need to prove either P or Q and then use
one of the or introduction rules to form a proof of
the disjunction.
-/
-- Suppose P and Q are arbitrary propositions
axioms (P Q : Prop)
-- Suppose you have proofs of P and of Q
axioms (p : P) (q : Q)
-- Yo... |
5545dc405f5dfafca6701818330897a699f12ac8 | 618003631150032a5676f229d13a079ac875ff77 | /src/analysis/special_functions/trigonometric.lean | 042a27fcd338b3cb73007fdee6d95785e99689d7 | [
"Apache-2.0"
] | permissive | awainverse/mathlib | 939b68c8486df66cfda64d327ad3d9165248c777 | ea76bd8f3ca0a8bf0a166a06a475b10663dec44a | refs/heads/master | 1,659,592,962,036 | 1,590,987,592,000 | 1,590,987,592,000 | 268,436,019 | 1 | 0 | Apache-2.0 | 1,590,990,500,000 | 1,590,990,500,000 | null | UTF-8 | Lean | false | false | 65,873 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Abhimanyu Pallavi Sudhir, Jean Lo, Calle Sönne
-/
import analysis.special_functions.exp_log
/-!
# Trigonometric functions
## Main definitions
This file contains the foll... |
7df54fb8d5c47de5d4fdc53d1661611f42c1a27b | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/measure_theory/measure/lebesgue/eq_haar.lean | 649bd355f7b6a4a8b998cb310a5da4d795994385 | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 43,442 | lean | /-
Copyright (c) 2021 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn, Sébastien Gouëzel
-/
import analysis.normed_space.pointwise
import linear_algebra.finite_dimensional
import measure_theory.group.pointwise
import measure_theory.mea... |
521d4d36e3376546bbfc79c96d905d7eead342ca | 80cc5bf14c8ea85ff340d1d747a127dcadeb966f | /src/logic/nontrivial.lean | 944a67c4dd5579e6578db49353fb6bb115dbf9b8 | [
"Apache-2.0"
] | permissive | lacker/mathlib | f2439c743c4f8eb413ec589430c82d0f73b2d539 | ddf7563ac69d42cfa4a1bfe41db1fed521bd795f | refs/heads/master | 1,671,948,326,773 | 1,601,479,268,000 | 1,601,479,268,000 | 298,686,743 | 0 | 0 | Apache-2.0 | 1,601,070,794,000 | 1,601,070,794,000 | null | UTF-8 | Lean | false | false | 4,591 | lean | /-
Copyright (c) 2020 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import logic.unique
import logic.function.basic
/-!
# Nontrivial types
A type is *nontrivial* if it contains at least two elements. This is useful in particul... |
45d9cfb2cc3f3d543aeba616c70b354514dc62a8 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/algebraic_geometry/presheafed_space.lean | 21d341bce79a7e8f9ce6b5a18fc45ecb8ecd4d20 | [
"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 | 10,806 | lean | /-
Copyright (c) 2019 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import topology.sheaves.presheaf
/-!
# Presheafed spaces
Introduces the category of topological spaces equipped with a presheaf (taking values in an
arbitrary targe... |
45cd17fa80ba685b412622f0c8ec95cc423e340c | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/Lean/Compiler/LCNF/Main.lean | ed7578898d4a0b690388d3546444fcf0ecde1c56 | [
"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 | 4,206 | lean | /-
Copyright (c) 2022 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Compiler.Options
import Lean.Compiler.LCNF.PassManager
import Lean.Compiler.LCNF.Passes
import Lean.Compiler.LCNF.PrettyPrinter
import Lean.Comp... |
7580be5fffc3311fd462d0b928a6867672b04ea9 | da23b545e1653cafd4ab88b3a42b9115a0b1355f | /src/tidy/pretty_print.lean | 1d35dd8208d5d2d9a718b96d1b8a464d6bdd0ca5 | [] | no_license | minchaowu/lean-tidy | 137f5058896e0e81dae84bf8d02b74101d21677a | 2d4c52d66cf07c59f8746e405ba861b4fa0e3835 | refs/heads/master | 1,585,283,406,120 | 1,535,094,033,000 | 1,535,094,033,000 | 145,945,792 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,265 | lean | import tidy.lib
open tactic
meta def pretty_print (e : expr) (implicits : bool := ff): tactic string :=
do options ← get_options,
set_options (((options.set_bool `pp.notation true).set_bool `pp.universes false).set_bool `pp.implicit implicits),
t ← pp e,
set_options options,
pure t.to_string
meta def tok... |
af1fd9dd58cd7bd447fb207d3a55888bbfecc29a | 31f556cdeb9239ffc2fad8f905e33987ff4feab9 | /src/Lean/Util/Profile.lean | 6abccffda36864b562b715832cdceabadb5634d8 | [
"Apache-2.0",
"LLVM-exception",
"NCSA",
"LGPL-3.0-only",
"LicenseRef-scancode-inner-net-2.0",
"BSD-3-Clause",
"LGPL-2.0-or-later",
"Spencer-94",
"LGPL-2.1-or-later",
"HPND",
"LicenseRef-scancode-pcre",
"ISC",
"LGPL-2.1-only",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | tobiasgrosser/lean4 | ce0fd9cca0feba1100656679bf41f0bffdbabb71 | ebdbdc10436a4d9d6b66acf78aae7a23f5bd073f | refs/heads/master | 1,673,103,412,948 | 1,664,930,501,000 | 1,664,930,501,000 | 186,870,185 | 0 | 0 | Apache-2.0 | 1,665,129,237,000 | 1,557,939,901,000 | Lean | UTF-8 | Lean | false | false | 1,054 | 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.Options
namespace Lean
/-- Print and accumulate run time of `act` when option `profiler` is set to `true`. -/
@[extern "lean_profileit"]
def p... |
59a9ca470cab274c1dcf0d6f5b3c1fcd357a69d1 | a4673261e60b025e2c8c825dfa4ab9108246c32e | /stage0/src/Lean/MonadEnv.lean | 4a012bd8512069ae99827e0846d9a33c9766224e | [
"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 | 4,434 | lean | /-
Copyright (c) 2020 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Environment
import Lean.Exception
namespace Lean
section Methods
variables {m : Type → Type} [MonadEnv m]
def setEnv (env : Environment) : m... |
fd97b0f045fd2eadd13f8370095d474b4d33b3fa | 624f6f2ae8b3b1adc5f8f67a365c51d5126be45a | /src/Init/Data/Queue.lean | 68a6627db9f3b218cd5e54fa35c865d009d5d5d2 | [
"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 | 197 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Daniel Selsam
-/
prelude
import Init.Data.Queue.Basic
|
14307b87f617f04f4320f54915d38a2ae530c60c | 55c7fc2bf55d496ace18cd6f3376e12bb14c8cc5 | /src/topology/algebra/continuous_functions.lean | f82abdea4ede0bc8ff85f2cb04e9415367f1eb3f | [
"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 | 14,573 | lean | /-
Copyright (c) 2019 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison, Nicolò Cavalleri
-/
import topology.algebra.module
import topology.continuous_map
/-!
# Algebraic structures over continuous functions
In this file we define instance... |
b68315a633dd2323d0f268ccfbf326a42eafc6e0 | 55c7fc2bf55d496ace18cd6f3376e12bb14c8cc5 | /src/data/matrix/pequiv.lean | ef3c844971787bb9f6c17b203662adc7d7929cab | [
"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 | 5,749 | lean | /-
Copyright (c) 2019 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes
-/
import data.matrix.basic
import data.pequiv
/-
# partial equivalences for matrices
Using partial equivalences to represent matrices.
This file introduces the function `p... |
a589beacde66b91749a5216357a5292ea9a99b5b | d6124c8dbe5661dcc5b8c9da0a56fbf1f0480ad6 | /test/run/ir/constantRefs.lean | 3d4b02e789680856366baee3d3493d6e0ef45b13 | [
"Apache-2.0"
] | permissive | xubaiw/lean4-papyrus | c3fbbf8ba162eb5f210155ae4e20feb2d32c8182 | 02e82973a5badda26fc0f9fd15b3d37e2eb309e0 | refs/heads/master | 1,691,425,756,824 | 1,632,122,825,000 | 1,632,123,075,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,952 | lean | import Papyrus
open Papyrus
def assertEq [Repr α] [DecidableEq α]
(expected actual : α) : IO (PLift (expected = actual)) := do
if h : expected = actual then return PLift.up h else
throw <| IO.userError s!"expected '{repr expected}', got '{repr actual}'"
def assertBEq [Repr α] [BEq α] (expected actual : α) : IO... |
6b2a218fda2b8ec356face5c0f323362a6beb66b | 4727251e0cd73359b15b664c3170e5d754078599 | /src/topology/category/Profinite/projective.lean | 14f214691686e4c71f3db4e0f7986446a12f881c | [
"Apache-2.0"
] | permissive | Vierkantor/mathlib | 0ea59ac32a3a43c93c44d70f441c4ee810ccceca | 83bc3b9ce9b13910b57bda6b56222495ebd31c2f | refs/heads/master | 1,658,323,012,449 | 1,652,256,003,000 | 1,652,256,003,000 | 209,296,341 | 0 | 1 | Apache-2.0 | 1,568,807,655,000 | 1,568,807,655,000 | null | UTF-8 | Lean | false | false | 1,991 | lean | /-
Copyright (c) 2021 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin
-/
import topology.category.Profinite
import topology.stone_cech
import category_theory.preadditive.projective
/-!
# Profinite sets have enough projectives
In this fi... |
f6c0a8234426904d38060851418af0f81c6ad722 | 1446f520c1db37e157b631385707cc28a17a595e | /stage0/src/Init/Lean/Elab/Binders.lean | a402407d7d7f875df349386bc9c044aeb20ce025 | [
"Apache-2.0"
] | permissive | bdbabiak/lean4 | cab06b8a2606d99a168dd279efdd404edb4e825a | 3f4d0d78b2ce3ef541cb643bbe21496bd6b057ac | refs/heads/master | 1,615,045,275,530 | 1,583,793,696,000 | 1,583,793,696,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 21,125 | 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
-/
prelude
import Init.Lean.Elab.Term
import Init.Lean.Elab.Quotation
namespace Lean
namespace Elab
namespace Term
/--
Given syntax of the forms
a) (`:... |
e6a53c390c935697e7b326d983b1f3e2f7e37189 | 5ca7b1b12d14c4742e29366312ba2c2ef8201b21 | /src/game/world10/level13.lean | 7da03c2b6b6811ca67c2e78b1b3aec4991a9b168 | [
"Apache-2.0"
] | permissive | MatthiasHu/natural_number_game | 2e464482ef3001863430b0336133b6697b275ba3 | 2d764f72669ae30861f6a1057fce0257f3e466c4 | refs/heads/master | 1,609,719,110,419 | 1,576,345,737,000 | 1,576,345,737,000 | 240,296,314 | 0 | 0 | Apache-2.0 | 1,581,608,357,000 | 1,581,608,356,000 | null | UTF-8 | Lean | false | false | 851 | lean | import game.world10.level12 -- hide
namespace mynat -- hide
/-
# Inequality world.
## Level 12: `not_succ_le_self`
Turns out that `¬ P` is *by definition* `P → false`, so you can just
start this one with `intro h` if you like.
## Pro tip:
```
conv begin
to_lhs,
rw hc,
end,
```
is an incantation whi... |
3492c6916fa74203d0b41c4f32bc30c46857cd16 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/Lean3Lib/init/meta/declaration.lean | 6eb791c4687dfab95ca91c33c211375ead1c352e | [] | 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 | 2,000 | 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.expr
import Mathlib.Lean3Lib.init.meta.name
import Mathlib.Lean3Lib.init.meta.task
universes l
... |
b3ad99f44910c1c083138de4d0f86d41667a3878 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/analysis/normed_space/complemented_auto.lean | 90ec6b56ca02d2128185df6219d1ae4b6dda4c08 | [] | 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 | 7,985 | 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.analysis.normed_space.banach
import Mathlib.analysis.normed_space.finite_dimension
import ... |
bb2128a6870d9b00c22c3ae48ee17abed4c35465 | 80cc5bf14c8ea85ff340d1d747a127dcadeb966f | /src/ring_theory/ring_invo.lean | 26155710be68b428712896716979a372b013da7d | [
"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 | 1,941 | lean | /-
Copyright (c) 2018 Andreas Swerdlow. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Andreas Swerdlow, Kenny Lau
-/
import data.equiv.ring
import algebra.opposites
/-!
# Ring involutions
This file defines a ring involution as a structure extending `R ≃+* Rᵒᵖ`,
with... |
67ccaa86617b632c6c83a8dec05c18c7e9e85a2a | 5d166a16ae129621cb54ca9dde86c275d7d2b483 | /tests/lean/bad_print.lean | ad24ed3712b296c822eec2f26a45023253376af0 | [
"Apache-2.0"
] | permissive | jcarlson23/lean | b00098763291397e0ac76b37a2dd96bc013bd247 | 8de88701247f54d325edd46c0eed57aeacb64baf | refs/heads/master | 1,611,571,813,719 | 1,497,020,963,000 | 1,497,021,515,000 | 93,882,536 | 1 | 0 | null | 1,497,029,896,000 | 1,497,029,896,000 | null | UTF-8 | Lean | false | false | 71 | lean | constant boo : nat
#print definition boo
#print 2
#print fields nat
|
b2dbeb8472df445a18013c78d294f54eabe14b5f | e898bfefd5cb60a60220830c5eba68cab8d02c79 | /uexp/src/uexp/ucongr.lean | 5240fd2229a89dcf25d2a2fee8fdafcfe0e50f69 | [
"BSD-2-Clause"
] | permissive | kkpapa/Cosette | 9ed09e2dc4c1ecdef815c30b5501f64a7383a2ce | fda8fdbbf0de6c1be9b4104b87bbb06cede46329 | refs/heads/master | 1,584,573,128,049 | 1,526,370,422,000 | 1,526,370,422,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 10,688 | lean | import .u_semiring
import .cosette_lemmas
import .cosette_tactics
/- congruence procedure for u-semiring -/
open tactic
private meta def flip_ueq : expr → tactic unit
| `(%%a * %%b) := flip_ueq a >> flip_ueq b
| `(%%t₁ ≃ %%t₂) :=
if t₁ > t₂ then return ()
else do h ← to_expr ``(eq_symm %%t₁ %%t₂),
... |
7bd9648cd23cedae36100bcb53a0f3783b4e7e49 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/topology/order_auto.lean | 9ace7ec02dea0b92f540bbe2a953757ef1e33fc1 | [] | 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 | 29,173 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.topology.tactic
import Mathlib.PostPort
universes u u_1 l v u_2 w u_3
na... |
1922f55cdfbdc465693ac4c143a30f07b2443495 | 2d2554d724f667419148b06acf724e2702ada7c9 | /src/theorems.lean | dc43a8d62a49c405d4db7f4a6ef701f983e0bfc0 | [] | no_license | hediet/lean-linear-integer-equation-solver | 64591803a01d38dba8599c5bde3e88446a2dca28 | 1a83fa7935b4411618c4edcdee7edb5c4a6678a7 | refs/heads/master | 1,677,680,410,160 | 1,612,962,170,000 | 1,612,962,170,000 | 337,718,062 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 674 | lean | import .definitions
import data.bool
import data.int.gcd
import tactic
import .main
-- Theory of Single Integer Equations
-- `eq.has_solution` correctly computes if an equation has a solution
theorem has_solution_iff (eq: Eq) : eq.has_solution ↔ ∃ xs, xs ∈ eq
:= Eq.has_solution_iff eq
-- If `eq.get_solution` compute... |
31a005c4e189c567ed537a6955116d3666150204 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/topology/algebra/open_subgroup.lean | fd4eb90f9f208acdd3dc4ffd12c0f56d91a70592 | [
"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 | 10,101 | lean | /-
Copyright (c) 2019 Johan Commelin All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin
-/
import topology.algebra.ring
import topology.sets.opens
/-!
# Open subgroups of a topological groups
This files builds the lattice `open_subgroup G` of open subgroups... |
6a9febb3095394bc0b14505c090a77dddc54e2b6 | a7602958ab456501ff85db8cf5553f7bcab201d7 | /Notes/Logic_and_Proof/Chapter5/5.12.lean | 5b29fb2866b5386ec32e0b3f53c0c3d3a8ec25c9 | [] | no_license | enlauren/math-logic | 081e2e737c8afb28dbb337968df95ead47321ba0 | 086b6935543d1841f1db92d0e49add1124054c37 | refs/heads/master | 1,594,506,621,950 | 1,558,634,976,000 | 1,558,634,976,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 747 | lean | -- 5.2 Some Classical Principles
open classical
variables A B: Prop
-- If |A -> B| is any implication, |¬ B -> ¬ A| is known as the contrapositve.
-- Every implication implies its contrapositive, and the other direction is
-- true classically.
-- Forward intuitionistic proof:
example: (A -> B) -> (¬ B -> ¬ A) :=
a... |
9b888ed2898286720d952773b283378e9c2dc3e6 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/algebra/group_ring_action.lean | 7ed2ab9e53ee36e0b5b9e8cc5e8b229242b8fa10 | [
"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 | 6,869 | lean | /-
Copyright (c) 2020 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau
-/
import algebra.pointwise
import data.equiv.ring
import group_theory.group_action.group
import group_theory.submonoid.pointwise
import group_theory.subgroup.pointwise
import ri... |
e751710d14c9e53226bd662ef1414367cfc8cf91 | e514e8b939af519a1d5e9b30a850769d058df4e9 | /src/tactic/rewrite_search/bundles/logic.lean | bc4b176665f93a1d94f5d4d61bb38824ad2d132a | [] | no_license | semorrison/lean-rewrite-search | dca317c5a52e170fb6ffc87c5ab767afb5e3e51a | e804b8f2753366b8957be839908230ee73f9e89f | refs/heads/master | 1,624,051,754,485 | 1,614,160,817,000 | 1,614,160,817,000 | 162,660,605 | 0 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 334 | lean | import tactic.rewrite_search.discovery.bundle
namespace tactic.rewrite_search.discovery
@[bundle] meta def logic : bundle := {}
attribute [search logic] not_not not_or_distrib not_not
attribute [search logic] and_assoc and_comm and_not_self_iff and_false
attribute [search logic] imp_iff_not_or
end tactic.rewrite_se... |
48ca0fcc1ce37c0a7004c84ebe09d38c8a4d2711 | 94e33a31faa76775069b071adea97e86e218a8ee | /src/set_theory/game/impartial.lean | a86226424178017bfb5533a3d0226729b7ef99d1 | [
"Apache-2.0"
] | permissive | urkud/mathlib | eab80095e1b9f1513bfb7f25b4fa82fa4fd02989 | 6379d39e6b5b279df9715f8011369a301b634e41 | refs/heads/master | 1,658,425,342,662 | 1,658,078,703,000 | 1,658,078,703,000 | 186,910,338 | 0 | 0 | Apache-2.0 | 1,568,512,083,000 | 1,557,958,709,000 | Lean | UTF-8 | Lean | false | false | 6,985 | lean | /-
Copyright (c) 2020 Fox Thomson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Fox Thomson
-/
import set_theory.game.basic
import tactic.nth_rewrite.default
/-!
# Basic definitions about impartial (pre-)games
We will define an impartial game, one in which left an... |
f13f500cb50c9754586ca8063795e1d5d4e88164 | 8c9f90127b78cbeb5bb17fd6b5db1db2ffa3cbc4 | /mult_is_commutative.lean | 3325552ba8acedf74248de45c443282b6c8cbeaf | [] | no_license | picrin/lean | 420f4d08bb3796b911d56d0938e4410e1da0e072 | 3d10c509c79704aa3a88ebfb24d08b30ce1137cc | refs/heads/master | 1,611,166,610,726 | 1,536,671,438,000 | 1,536,671,438,000 | 60,029,899 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,916 | lean |
def multiplication : nat → nat → nat :=
λ (a b : nat),
nat.rec_on a 0 (λ k result_k : nat, result_k + b)
def tricky_bastard (k b : nat) : multiplication b (nat.succ k) = multiplication b k + b :=
nat.rec_on b rfl (
λ (a : ℕ), λ H: multiplication a (nat.succ k) = multiplication a k + a,
... |
ad794a78253314e752551d0aa2527a821fe73dc4 | 947b78d97130d56365ae2ec264df196ce769371a | /stage0/src/Init/Control/StateRef.lean | 28f962368f728e3236fc8de8a0b24a5aed326d39 | [
"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 | 2,775 | lean | /-
Copyright (c) 2020 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura, Sebastian Ullrich
The State monad transformer using IO references.
-/
prelude
import Init.System.IO
import Init.Control.State
def StateRefT' (ω : Type) (σ :... |
b403f745ab815cf645471ad38b7f27b9bd34a5d7 | a721fe7446524f18ba361625fc01033d9c8b7a78 | /elaborate/mul_cancel_total_order_no_tactic.lean | 71eca67f02c1f3b1e02ca93e2ba8c2ddf1d47cab | [] | no_license | Sterrs/leaning | 8fd80d1f0a6117a220bb2e57ece639b9a63deadc | 3901cc953694b33adda86cb88ca30ba99594db31 | refs/heads/master | 1,627,023,822,744 | 1,616,515,221,000 | 1,616,515,221,000 | 245,512,190 | 2 | 0 | null | 1,616,429,050,000 | 1,583,527,118,000 | Lean | UTF-8 | Lean | false | false | 181,945 | lean | λ (m n k : mynat) (hmnz : m = zero → false),
or.rec
(λ (h : ∃ (k_1 : mynat), k = add n k_1)
(«_» : (∃ (k_1 : mynat), k = add n k_1) ∨ ∃ (k_1 : mynat), n = add k k_1) (hmnmk : mul m n = mul m k),
Exists.rec
(λ (w : mynat) (h : k = add n w) («_» : ∃ (k_1 : mynat), k = add n k_1),
eq... |
991cf18e34c5f615a020b56da0a5b11eedb673d5 | 4efff1f47634ff19e2f786deadd394270a59ecd2 | /src/data/nat/cast.lean | 9a4351fba79c60a90636745b801ee7e515afe1c9 | [
"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 | 9,044 | lean | /-
Copyright (c) 2014 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
Natural homomorphism from the natural numbers into a monoid with one.
-/
import algebra.ordered_field
import data.nat.basic
namespace nat
variables {α : Type*}
sectio... |
00488877b92d0ae71f6c58be0cadc4db85ec394b | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/field_theory/perfect_closure.lean | 65e1839e7a9327dc070aa70efd8dadb0a563bd54 | [
"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 | 16,697 | lean | /-
Copyright (c) 2018 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau, Yury Kudryashov
-/
import algebra.char_p
import data.equiv.ring
import algebra.group_with_zero_power
import algebra.iterate_hom
/-!
# The perfect closure of a field
-/
universe... |
6864caa4c8c91eb69398d030056f4fa6b674ffd6 | a4673261e60b025e2c8c825dfa4ab9108246c32e | /src/Lean/Elab/PreDefinition/Basic.lean | cb770089afb0cff1eddc3e45dc11aba2150210f0 | [
"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 | 6,572 | 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.Util.SCC
import Lean.Meta.AbstractNestedProofs
import Lean.Elab.Term
import Lean.Elab.DefView
import Lean.Elab.PreDefinition.MkInhabitant
names... |
77c16e7fe0cf66308b5b57c1c548e8142c1552df | d9d511f37a523cd7659d6f573f990e2a0af93c6f | /src/ring_theory/polynomial/content.lean | f453497543bba71f649ab17379d2ec05963ab26e | [
"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 | 17,031 | lean | /-
Copyright (c) 2020 Aaron Anderson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Aaron Anderson
-/
import algebra.gcd_monoid.finset
import data.polynomial
import data.polynomial.erase_lead
import data.polynomial.cancel_leads
/-!
# GCD structures on polynomials
De... |
ce8e279bfa09c9fc13a6f7b40ab2f2b118821184 | 7282d49021d38dacd06c4ce45a48d09627687fe0 | /src/builtin/cast.lean | d09e2618906f333ae6b13581663bfc29cd8f49b4 | [
"Apache-2.0"
] | permissive | steveluc/lean | 5a0b4431acefaf77f15b25bbb49294c2449923ad | 92ba4e8b2d040a799eda7deb8d2a7cdd3e69c496 | refs/heads/master | 1,611,332,256,930 | 1,391,013,244,000 | 1,391,013,244,000 | 16,361,079 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,412 | lean | import heq
variable cast {A B : TypeM} : A = B → A → B
axiom cast_heq {A B : TypeM} (H : A = B) (a : A) : cast H a == a
theorem cast_app {A A' : TypeM} {B : A → TypeM} {B' : A' → TypeM} (f : ∀ x, B x) (a : A) (Ha : A = A') (Hb : (∀ x, B x) = (∀ x, B' x)) :
cast Hb f (cast Ha a) == f a
:= let s1 : cast Hb f == ... |
b75ebea6ac1872f51e615ec85e76434ab86c9168 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/topology/category/Profinite/cofiltered_limit.lean | a816a4a13c585b177c2ff2b5f2c14e9d1937dd7a | [
"Apache-2.0"
] | permissive | robertylewis/mathlib | 3d16e3e6daf5ddde182473e03a1b601d2810952c | 1d13f5b932f5e40a8308e3840f96fc882fae01f0 | refs/heads/master | 1,651,379,945,369 | 1,644,276,960,000 | 1,644,276,960,000 | 98,875,504 | 0 | 0 | Apache-2.0 | 1,644,253,514,000 | 1,501,495,700,000 | Lean | UTF-8 | Lean | false | false | 9,347 | lean | /-
Copyright (c) 2021 Adam Topaz. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Adam Topaz
-/
import topology.category.Profinite
import topology.locally_constant.basic
import topology.discrete_quotient
/-!
# Cofiltered limits of profinite sets.
This file contains so... |
8d72f3b3b1eecda22c0ebf1754e18a6880dff4ba | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/tactic_id_bug.lean | a820d7b1eefefa8112bb47fa07837d1ee14b562a | [
"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 | 671 | lean | --
open function
structure bijection (A : Type) :=
(func finv : A → A)
(linv : finv ∘ func = id)
(rinv : func ∘ finv = id)
attribute bijection.func [coercion]
namespace bijection
variable {A : Type}
protected theorem eq {f g : bijection A}
(func_eq : func f = func g) (finv_eq : finv f = finv g) : f = g :=
... |
9ccc7ccc19988536d354ec55debd44ff74637541 | 5df84495ec6c281df6d26411cc20aac5c941e745 | /src/formal_ml/core.lean | 55481f5239d8ff96903d4f9eaa1ad363b062f145 | [
"Apache-2.0"
] | permissive | eric-wieser/formal-ml | e278df5a8df78aa3947bc8376650419e1b2b0a14 | 630011d19fdd9539c8d6493a69fe70af5d193590 | refs/heads/master | 1,681,491,589,256 | 1,612,642,743,000 | 1,612,642,743,000 | 360,114,136 | 0 | 0 | Apache-2.0 | 1,618,998,189,000 | 1,618,998,188,000 | null | UTF-8 | Lean | false | false | 4,817 | lean | /-
Copyright 2020 Google LLC
Licensed under the Apache License, Version 2.0 (the "License");
you may not use this file except in compliance with the License.
You may obtain a copy of the License at
http://www.apache.org/licenses/LICENSE-2.0
Unless required by applicable law or agreed to in writing, software
di... |
27f13d8454b5f987da897e368f7a752f6d47c4c0 | 7cef822f3b952965621309e88eadf618da0c8ae9 | /src/algebra/quadratic_discriminant.lean | bad7f3bd1569ea2f5192c9928f46adf7b38b60d4 | [
"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 | 6,425 | lean | /-
Copyright (c) 2019 Zhouhang Zhou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Zhouhang Zhou
-/
import algebra.ordered_field
import tactic.linarith tactic.ring
/-!
# Quadratic discriminants and roots of a quadratic
This file defines the discriminant of a quadra... |
783b633555b04926d395d8aaef4b899af04b2c3d | 26ac254ecb57ffcb886ff709cf018390161a9225 | /src/algebra/punit_instances.lean | 8d9c3fccc00802d53e30a21d8d9a8b52d50bfbad | [
"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 | 2,601 | lean | /-
Copyright (c) 2019 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau
Instances on punit.
-/
import algebra.module
universes u
namespace punit
variables (x y : punit.{u+1}) (s : set punit.{u+1})
@[to_additive add_comm_group]
instance : comm_grou... |
32e3c83849590f6eae91dec5ebc7ce491aa3c8b3 | 3f48345ac9bbaa421714efc9872a0409379bb4ae | /src/set_category/em_square.lean | fcf1227be43b8c7f11a96d2b4c1266b022d77c19 | [] | no_license | QaisHamarneh/Coalgebra-in-Lean | b4318ee6d83780e5c734eb78fed98b1fe8016f7e | bd0452df98bc64b608e5dfd7babc42c301bb6a46 | refs/heads/master | 1,663,371,200,241 | 1,661,004,695,000 | 1,661,004,695,000 | 209,798,828 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 5,344 | lean |
import category_theory.category
import category_theory.functor
import category_theory.types
import tactic.tidy
import set_category.diagram_lemmas
import set_category.category_set
import help_functions
namespace em_square
universes v u
open classical
function
set
category_theory
help_func... |
fd63f1632942deae9763ee5be81f77ac1588d095 | 367134ba5a65885e863bdc4507601606690974c1 | /src/tactic/unify_equations.lean | 724b6814e8b9af004f9c53b24f15a1f128c7967f | [
"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 | 14,581 | lean | /-
Copyright (c) 2020 Jannis Limperg. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Jannis Limperg
-/
import tactic.core
/-!
# The `unify_equations` tactic
This module defines `unify_equations`, a first-order unification tactic that
unifies one or more equations in t... |
e72e11b29acbedacfc0827da6fb3ba43a5b65283 | 80cc5bf14c8ea85ff340d1d747a127dcadeb966f | /src/category_theory/limits/over.lean | 2feb4c117263079f12e031181fd525dffbb17217 | [
"Apache-2.0"
] | permissive | lacker/mathlib | f2439c743c4f8eb413ec589430c82d0f73b2d539 | ddf7563ac69d42cfa4a1bfe41db1fed521bd795f | refs/heads/master | 1,671,948,326,773 | 1,601,479,268,000 | 1,601,479,268,000 | 298,686,743 | 0 | 0 | Apache-2.0 | 1,601,070,794,000 | 1,601,070,794,000 | null | UTF-8 | Lean | false | false | 5,426 | lean | /-
Copyright (c) 2018 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin, Reid Barton, Bhavik Mehta
-/
import category_theory.over
import category_theory.limits.preserves.basic
noncomputable theory
universes v u -- declare the `v`'s first; ... |
0a5887322f89a812dc1585c7d2815c1328296ed0 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/data/list/min_max.lean | ef7c049fe774fd8965633c6983319407553eabd4 | [
"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 | 11,112 | lean | /-
Copyright (c) 2019 Minchao Wu. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Minchao Wu, Chris Hughes
-/
import data.list.basic
/-!
# Minimum and maximum of lists
## Main definitions
The main definitions are `argmax`, `argmin`, `minimum` and `maximum` for lists.
... |
68e2e7ffe84330b4b24e4571277fec77efae5d0e | 9b9a16fa2cb737daee6b2785474678b6fa91d6d4 | /src/algebra/group_power.lean | c14ace89d7464d2c98f1e5fa730fcd5f54594f74 | [
"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 | 26,829 | lean | /-
Copyright (c) 2015 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Robert Y. Lewis
The power operation on monoids and groups. We separate this from group, because it depends on
nat, which in turn depends on other parts of algebra.
We h... |
2c5afbe5812ca2d3c7abc2d6707104b0eb8efcda | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/tactic/rcases.lean | fbf736b3b56f0f8509e48bb48b99d232dea7d683 | [
"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 | 39,150 | lean | /-
Copyright (c) 2017 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
import data.dlist
import tactic.core
import tactic.clear
/-!
# Recursive cases (`rcases`) tactic and related tactics
`rcases` is a tactic that will perform `cases`... |
5a84db889bca75bbf1a53610970518221248ec42 | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/data/complex/is_R_or_C.lean | 8db57a072c01d6852797a7e2f1117b48296416d1 | [
"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 | 25,947 | lean | /-
Copyright (c) 2020 Frédéric Dupuis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Frédéric Dupuis
-/
import analysis.normed_space.basic
import analysis.complex.basic
/-!
# `is_R_or_C`: a typeclass for ℝ or ℂ
This file defines the typeclass `is_R_or_C` intended t... |
f70ffef22051556903cd5cdc8dc03691675e459a | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/computability/reduce.lean | 0414f18c9e8dc3955679402a42a86cbc22238dbb | [
"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 | 18,346 | lean | /-
Copyright (c) 2019 Minchao Wu. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Minchao Wu, Mario Carneiro
-/
import computability.halting
/-!
# Strong reducibility and degrees.
This file defines the notions of computable many-one reduction and one-one
reduction bet... |
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