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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1e1891172f0ba28865835113f7d8ac7644bb8d7b | 367134ba5a65885e863bdc4507601606690974c1 | /src/algebra/group/semiconj.lean | da73a2a73d141d5c963e3823688c7f79c9123ba8 | [
"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 | 5,601 | lean | /-
Copyright (c) 2019 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov
Some proofs and docs came from `algebra/commute` (c) Neil Strickland
-/
import algebra.group.units
/-!
# Semiconjugate elements of a semigroup
## Main definitions
... |
c08672d8796e1426daff3c1696c41f7af9f039a9 | 69d4931b605e11ca61881fc4f66db50a0a875e39 | /src/order/closure.lean | 745cd61782643ad89ce2ea22bf26fb829619b330 | [
"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 | 17,280 | lean | /-
Copyright (c) 2020 Bhavik Mehta. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Bhavik Mehta, Yaël Dillies
-/
import data.set_like
import order.basic
import order.preorder_hom
import order.galois_connection
import tactic.monotonicity
/-!
# Closure operators between... |
411022707ae3e45b51e12fea6347a3db5ebdfe51 | fe25de614feb5587799621c41487aaee0d083b08 | /src/Lean/Environment.lean | f845fbfa8d1e946000d2a7c157ea1dd07fe68f0f | [
"Apache-2.0"
] | permissive | pollend/lean4 | e8469c2f5fb8779b773618c3267883cf21fb9fac | c913886938c4b3b83238a3f99673c6c5a9cec270 | refs/heads/master | 1,687,973,251,481 | 1,628,039,739,000 | 1,628,039,739,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 33,974 | 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 Std.Data.HashMap
import Lean.ImportingFlag
import Lean.Data.SMap
import Lean.Declaration
import Lean.LocalContext
import Lean.Util.Path
import Lean.U... |
8533bae81aa45829306fb2cf9a2cbd365c3a7785 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/category_theory/monad/adjunction.lean | 8f2ee003612a8e2ba18886dbe4e9764942237879 | [
"Apache-2.0"
] | permissive | alreadydone/mathlib | dc0be621c6c8208c581f5170a8216c5ba6721927 | c982179ec21091d3e102d8a5d9f5fe06c8fafb73 | refs/heads/master | 1,685,523,275,196 | 1,670,184,141,000 | 1,670,184,141,000 | 287,574,545 | 0 | 0 | Apache-2.0 | 1,670,290,714,000 | 1,597,421,623,000 | Lean | UTF-8 | Lean | false | false | 8,782 | 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.adjunction.reflective
import category_theory.monad.algebra
/-!
# Adjunctions and monads
We develop the basic relationship betwe... |
5f5e1945bd04966e05c66eeec3f601331a8f4d2a | ff5230333a701471f46c57e8c115a073ebaaa448 | /library/init/algebra/field.lean | 2499816ee447d58164829dc791b4329b616d2efa | [
"Apache-2.0"
] | permissive | stanford-cs242/lean | f81721d2b5d00bc175f2e58c57b710d465e6c858 | 7bd861261f4a37326dcf8d7a17f1f1f330e4548c | refs/heads/master | 1,600,957,431,849 | 1,576,465,093,000 | 1,576,465,093,000 | 225,779,423 | 0 | 3 | Apache-2.0 | 1,575,433,936,000 | 1,575,433,935,000 | null | UTF-8 | Lean | false | false | 18,531 | lean | /-
Copyright (c) 2014 Robert Lewis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Robert Lewis, Leonardo de Moura
Structures with multiplicative and additive components, including division rings and fields.
The development is modeled after Isabelle's library.
-/
prel... |
01c91a7f9cbbbaaf662f6662e2dadf49f0a122f1 | 367134ba5a65885e863bdc4507601606690974c1 | /src/order/ideal.lean | 3ae7e746dd10feaca32538a2b590980ba2f916fb | [
"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 | 10,099 | lean | /-
Copyright (c) 2020 David Wärn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: David Wärn
-/
import order.basic
import data.equiv.encodable.basic
/-!
# Order ideals, cofinal sets, and the Rasiowa–Sikorski lemma
## Main definitions
Throughout this file, `P` is at l... |
b29b5bdf5cc1e81272cd87ca1af703aff0c5236b | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /library/standard.lean | 637572bb7e2bb6076c6ad52a33ec8f9865e1dc82 | [
"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 | 243 | lean | /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura, Jeremy Avigad
The constructive core of Lean's library.
-/
-- import logic data
|
562d6d57c2f19b3b5f4a08191efef372cc66b8df | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/ring_theory/ring_hom/integral.lean | 1d96571c23f5f564f013ec651da7ca1f29bb6f36 | [
"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 | 1,324 | lean | /-
Copyright (c) 2021 Andrew Yang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Andrew Yang
-/
import ring_theory.ring_hom_properties
import ring_theory.integral_closure
/-!
# The meta properties of integral ring homomorphisms.
> THIS FILE IS SYNCHRONIZED WITH MAT... |
8e0414f9e584b7369d57591323ff562b105e99e8 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/algebra/group/hom.lean | 659c68c82fcc3bb2c880180ddd350333e5287469 | [] | 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 | 39,521 | lean | /-
Copyright (c) 2018 Patrick Massot. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Patrick Massot, Kevin Buzzard, Scott Morrison, Johan Commelin, Chris Hughes,
Johannes Hölzl, Yury Kudryashov
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mat... |
78483ba5e917170dea1de8604c89f40ed93fb410 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/order/filter/germ.lean | 2a6c20199d729808225f43b9453f8f18757795fb | [
"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 | 20,804 | lean | /-
Copyright (c) 2020 Yury G. Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury G. Kudryashov, Abhimanyu Pallavi Sudhir
-/
import order.filter.basic
import algebra.module.pi
/-!
# Germ of a function at a filter
The germ of a function `f : α → β` at a fi... |
52b5d85f4a7df20a219a0be34c37e553e3e63c28 | 398b53a5e02ce35196531591f84bb2f6b034ce5a | /tpil/presentation.lean | 7cdf1acb7b0056ef99dc22b283bb902f93480e43 | [
"MIT"
] | permissive | crockeo/math-exercises | 64f07a9371a72895bbd97f49a854dcb6821b18ab | cf9150ef9e025f1b7929ba070a783e7a71f24f31 | refs/heads/master | 1,607,910,221,030 | 1,581,231,762,000 | 1,581,231,762,000 | 234,595,189 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,292 | lean | import init.data.fin
import init.data.list
import init.data.nat.basic
open nat
namespace hidden
universe u
-- Defining a list
inductive list (α : Type u) : Type (u + 1)
| nil : list
| cons : α → list → list
namespace list
def length {α : Type u} : list α → ℕ
| (nil α) := 0
| (con... |
dd5055e0333dc702fc34cf37e768826f6ccbaf0b | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/doNotation4.lean | 4987ebc142d91a94ff94188505a31d9d47a2403d | [
"Apache-2.0",
"LLVM-exception",
"NCSA",
"LGPL-3.0-only",
"LicenseRef-scancode-inner-net-2.0",
"BSD-3-Clause",
"LGPL-2.0-or-later",
"Spencer-94",
"LGPL-2.1-or-later",
"HPND",
"LicenseRef-scancode-pcre",
"ISC",
"LGPL-2.1-only",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | leanprover/lean4 | 4bdf9790294964627eb9be79f5e8f6157780b4cc | f1f9dc0f2f531af3312398999d8b8303fa5f096b | refs/heads/master | 1,693,360,665,786 | 1,693,350,868,000 | 1,693,350,868,000 | 129,571,436 | 2,827 | 311 | Apache-2.0 | 1,694,716,156,000 | 1,523,760,560,000 | Lean | UTF-8 | Lean | false | false | 1,428 | lean | abbrev M := StateRefT Nat IO
def testM {α} [ToString α] [BEq α] (init : Nat) (expected : α) (x : M α): IO Unit := do
let v ← x.run' init
IO.println ("result " ++ toString v)
unless v == expected do
throw $ IO.userError "unexpected"
def dec (x : Nat) : M Unit := do
if (← get) == 0 then
throw $ IO.userError "value ... |
a345598d5908f98e275d43a428d573d192024524 | 30b012bb72d640ec30c8fdd4c45fdfa67beb012c | /category_theory/examples/rings.lean | c2d24d5efe99617e64a364018f3752894c7c9156 | [
"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 | 1,788 | lean | /- Copyright (c) 2018 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison, Johannes Hölzl
Introduce CommRing -- the category of commutative rings.
Currently only the basic setup.
-/
import category_theory.examples.monoids
import category_th... |
bf539738c63e39d4a71a68d629acefe14a679735 | 964a8bb66c2eb89b920fe65d0ec2f77eab0d5f65 | /src/hanoiinteractive.lean | 10ba2e18c51ff96f96a1a4821a4e9f2ab0c0ddfe | [
"MIT"
] | permissive | SnobbyDragon/leanhanoi | 9990a7b586f1d843d39c3c7aab7ac0b5eefbe653 | a42811ce5ab55e0451880a8c111c75b082936d39 | refs/heads/master | 1,675,735,182,689 | 1,609,387,288,000 | 1,609,387,288,000 | 284,167,126 | 8 | 1 | MIT | 1,609,262,129,000 | 1,596,247,349,000 | Lean | UTF-8 | Lean | false | false | 711 | lean | import hanoiwidget
meta def hanoi_tactic := tactic
namespace hanoi_tactic
open tactic
local attribute [reducible] hanoi_tactic
meta instance : monad hanoi_tactic := infer_instance
meta def step {α : Type} (m : hanoi_tactic α) : hanoi_tactic unit :=
tactic.step m
meta def istep {α} (a b c d : ℕ) (t : han... |
0e245821f7b0c979e4d9b522cc5ecfb394eb905e | 618003631150032a5676f229d13a079ac875ff77 | /src/data/pnat/intervals.lean | 197022d4cc3043108ceee1762c646fb61c747751 | [
"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 | 804 | lean | /-
Copyright (c) 2020 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Scott Morrison
-/
import data.pnat.basic
import data.finset
namespace pnat
/-- `Ico l u` is the set of positive natural numbers `l ≤ k < u`. -/
def Ico (l u : ℕ+) : finset ℕ+ :=
(fins... |
0815b94d5a2d4e74e9ca2fe2e603827692af9e66 | 618003631150032a5676f229d13a079ac875ff77 | /src/data/nat/dist.lean | ab6118438f23da51a5e11424c5e26063b148e022 | [
"Apache-2.0"
] | permissive | awainverse/mathlib | 939b68c8486df66cfda64d327ad3d9165248c777 | ea76bd8f3ca0a8bf0a166a06a475b10663dec44a | refs/heads/master | 1,659,592,962,036 | 1,590,987,592,000 | 1,590,987,592,000 | 268,436,019 | 1 | 0 | Apache-2.0 | 1,590,990,500,000 | 1,590,990,500,000 | null | UTF-8 | Lean | false | false | 3,993 | lean | /-
Copyright (c) 2014 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn, Jeremy Avigad
Distance function on the natural numbers.
-/
import data.nat.basic
namespace nat
/- distance -/
/-- Distance (absolute value of difference) betwee... |
e1cd0b4db9e3ca115b3858cd2515969067598159 | e00ea76a720126cf9f6d732ad6216b5b824d20a7 | /src/algebra/group_power.lean | 24d2e87023246ceae2ffa4c510a23e73b3db2e3d | [
"Apache-2.0"
] | permissive | vaibhavkarve/mathlib | a574aaf68c0a431a47fa82ce0637f0f769826bfe | 17f8340912468f49bdc30acdb9a9fa02eeb0473a | refs/heads/master | 1,621,263,802,637 | 1,585,399,588,000 | 1,585,399,588,000 | 250,833,447 | 0 | 0 | Apache-2.0 | 1,585,410,341,000 | 1,585,410,341,000 | null | UTF-8 | Lean | false | false | 27,180 | 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... |
f67732cc39c1b30f25c631544074993ee2e140e0 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/topology/algebra/ordered/monotone_convergence.lean | 04f161049c5b28348e660c73b7294c7fb786484a | [
"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 | 13,977 | lean | /-
Copyright (c) 2021 Heather Macbeth. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Heather Macbeth, Yury Kudryashov
-/
import topology.algebra.ordered.basic
/-!
# Bounded monotone sequences converge
In this file we prove a few theorems of the form “if the range of... |
630c21fc8d8d6d880e85ba10f6ed61b7a0769fe2 | c777c32c8e484e195053731103c5e52af26a25d1 | /src/analysis/special_functions/trigonometric/series.lean | 0665bc3e9122f309fe1822d69432618e39dfd51b | [
"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 | 4,575 | lean | /-
Copyright (c) 2023 Eric Wieser. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Eric Wieser
-/
import analysis.special_functions.exponential
/-!
# Trigonometric functions as sums of infinite series
In this file we express trigonometric functions in terms of their se... |
727ef5bbac8fff796e58c546805eaffd505cb0a3 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/order/extension/linear.lean | cd8d7fc19e2f9f780ce0363cbea0169f5a6e6c7a | [
"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 | 3,865 | lean | /-
Copyright (c) 2021 Bhavik Mehta. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Bhavik Mehta
-/
import order.zorn
import tactic.by_contra
/-!
# Extend a partial order to a linear order
This file constructs a linear order which is an extension of the given partial ... |
d65ef270559bccecd59c8dc428b35b43ff4ec77a | 69d4931b605e11ca61881fc4f66db50a0a875e39 | /src/analysis/normed_space/add_torsor.lean | d2bff33d488e11d7725a538780683a36f6e56b2c | [
"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 | 17,782 | lean | /-
Copyright (c) 2020 Joseph Myers. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Myers, Yury Kudryashov
-/
import linear_algebra.affine_space.midpoint
import topology.metric_space.isometry
import topology.instances.real_vector_space
/-!
# Torsors of additive ... |
9f156bf7395c9dafb7cf6fe863cdc2a698deb964 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/tactic/fin_cases.lean | 6eba0f6ba4f43549301d0282302b848e70d6337c | [
"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 | 4,857 | lean | /-
Copyright (c) 2018 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
Case bashing:
* on `x ∈ A`, for `A : finset α` or `A : list α`, or
* on `x : A`, with `[fintype A]`.
-/
import data.fintype.basic
import tactic.norm_num
namespace tact... |
3c1d35ed476a8e7363aa89677676a24a2357bdda | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/run/ind5.lean | 9e3da40b1bed1b69609e298500013f5fcdf7fad3 | [
"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 | 185 | lean | prelude
definition Prop : Type.{1} := Type.{0}
inductive or (A B : Prop) : Prop :=
| intro_left : A → or A B
| intro_right : B → or A B
check or
check or.intro_left
check or.rec
|
a3a05abc3ecd60acf972d83fbc701a647224a9c5 | 80746c6dba6a866de5431094bf9f8f841b043d77 | /src/data/string.lean | 7bfbb972114166f4324606648f494083ad4d425c | [
"Apache-2.0"
] | permissive | leanprover-fork/mathlib-backup | 8b5c95c535b148fca858f7e8db75a76252e32987 | 0eb9db6a1a8a605f0cf9e33873d0450f9f0ae9b0 | refs/heads/master | 1,585,156,056,139 | 1,548,864,430,000 | 1,548,864,438,000 | 143,964,213 | 0 | 0 | Apache-2.0 | 1,550,795,966,000 | 1,533,705,322,000 | Lean | UTF-8 | Lean | false | false | 2,619 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Mario Carneiro
Supplementary theorems about the `string` type.
-/
import data.list.basic data.char
namespace string
def ltb : iterator → iterator → bool
| s₁ s₂ := begin
cases s₂.h... |
30c4d69c5c75df8ea97402e002bbf19d2ece452e | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/number_theory/diophantine_approximation.lean | 772f7e19881e2cbb14bd0256acb1c0af4442148a | [
"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 | 27,924 | lean | /-
Copyright (c) 2022 Michael Stoll. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Michael Geißer, Michael Stoll
-/
import algebra.continued_fractions.computation.approximation_corollaries
import algebra.continued_fractions.computation.translations
import combinatoric... |
6fc839ed88c9549ea1b8e8d514308271602d6041 | 947b78d97130d56365ae2ec264df196ce769371a | /src/Lean/Elab/StructInst.lean | 794257e8547b36254f0c198e1e2d282e6c64abbd | [
"Apache-2.0"
] | permissive | shyamalschandra/lean4 | 27044812be8698f0c79147615b1d5090b9f4b037 | 6e7a883b21eaf62831e8111b251dc9b18f40e604 | refs/heads/master | 1,671,417,126,371 | 1,601,859,995,000 | 1,601,860,020,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 33,660 | 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.FindExpr
import Lean.Elab.App
import Lean.Elab.Binders
import Lean.Elab.Quotation
namespace Lean
namespace Elab
namespace Term
namespace S... |
ef9380cd7228c0e8c218bbe49a57eaa8e2a27828 | a5e2e6395319779f21675263bc0e486be5bc03bd | /bench/stlc_lessimpl.lean | 92a987128918756efb0ea11313d59d095b1cc056 | [
"MIT"
] | permissive | AndrasKovacs/smalltt | 10f0ec55fb3f487e9dd21a740fe1a899e0cdb790 | c306f727ba3c92abe6ef75013da5a5dade6b15c8 | refs/heads/master | 1,689,497,785,394 | 1,680,893,106,000 | 1,680,893,106,000 | 112,098,494 | 483 | 26 | MIT | 1,640,720,815,000 | 1,511,713,805,000 | Lean | UTF-8 | Lean | false | false | 6,912 | lean |
def Ty6 : Type 1
:= ∀ (Ty6 : Type)
(nat top bot : Ty6)
(arr prod sum : Ty6 → Ty6 → Ty6)
, Ty6
def nat6 : Ty6 := λ _ nat6 _ _ _ _ _ => nat6
def top6 : Ty6 := λ _ _ top6 _ _ _ _ => top6
def bot6 : Ty6 := λ _ _ _ bot6 _ _ _ => bot6
def arr6 : Ty6 → Ty6 → Ty6
:= λ A B Ty6 nat6 top6 bot6 arr6... |
12cc177e4389fe9ce22ae1ac1e0a126c59ebf09b | de91c42b87530c3bdcc2b138ef1a3c3d9bee0d41 | /old/eval/measurementEval.lean | fb71d95015e3ed6813f46e7ccfc2c8bbc5eac1e4 | [] | no_license | kevinsullivan/lang | d3e526ba363dc1ddf5ff1c2f36607d7f891806a7 | e9d869bff94fb13ad9262222a6f3c4aafba82d5e | refs/heads/master | 1,687,840,064,795 | 1,628,047,969,000 | 1,628,047,969,000 | 282,210,749 | 0 | 1 | null | 1,608,153,830,000 | 1,595,592,637,000 | Lean | UTF-8 | Lean | false | false | 302 | lean | import ..imperative_DSL.environment
open lang.measurementSystem
def measurementSystemEval : lang.measurementSystem.measureExpr → environment.env → measurementSystem.MeasurementSystem
| (lang.measurementSystem.measureExpr.lit V) i := V
| (lang.measurementSystem.measureExpr.var v) i := i.ms.ms v
|
98c5f2bf6b2ad202bccd3ebdee68a319967e1e4c | 94e33a31faa76775069b071adea97e86e218a8ee | /test/congrm.lean | f4485e5d9a70e97a4901f17adb5198923570aff8 | [
"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 | 1,598 | lean | import tactic.congrm
variables {X : Type*} [has_add X] [has_mul X] (a b c d : X) (f : X → X)
example (H : a = b) : f a + f a = f b + f b :=
by congrm f _ + f _; exact H
example {g : X → X} (H : a = b) (H' : c + f a = c + f d) (H'' : f d = f b) :
f (g a) * (f d + (c + f a)) = f (g b) * (f b + (c + f d)) :=
begin
... |
380d362458c0f39cf86b8759d099c6c5a3157e0a | 92b50235facfbc08dfe7f334827d47281471333b | /library/algebra/ring.lean | e0fa6fe628a957f06f995f91a1eaaec6246e9f2d | [
"Apache-2.0"
] | permissive | htzh/lean | 24f6ed7510ab637379ec31af406d12584d31792c | d70c79f4e30aafecdfc4a60b5d3512199200ab6e | refs/heads/master | 1,607,677,731,270 | 1,437,089,952,000 | 1,437,089,952,000 | 37,078,816 | 0 | 0 | null | 1,433,780,956,000 | 1,433,780,955,000 | null | UTF-8 | Lean | false | false | 13,391 | 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
Structures with multiplicative and additive components, including semirings, rings, and fields.
The development is modeled after Isabelle's library.
-/... |
47a63ed550c9e0b4a1d6b28bebb2f1444fc22879 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/run/reserve.lean | 4ec99809f9fc3bb193b855273e78b3039965ca92 | [
"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 | 191 | lean | import logic
reserve infix `=?=`:50
reserve infixr `&&&`:25
notation a `=?=` b := eq a b
notation a `&&&` b := and a b
set_option pp.notation false
check λ a b : num, a =?= b &&& b =?= a
|
271d10f18c762188c1be050910e414359bdf9802 | fe208a542cea7b2d6d7ff79f94d535f6d11d814a | /src/Dedekind_cuts/challenge.lean | 381efdd05acfaa9e40c03348a1377fd6214eaad6 | [] | no_license | ImperialCollegeLondon/M1F_room_342_questions | c4b98b14113fe900a7f388762269305faff73e63 | 63de9a6ab9c27a433039dd5530bc9b10b1d227f7 | refs/heads/master | 1,585,807,312,561 | 1,545,232,972,000 | 1,545,232,972,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 471 | lean | import algebra.archimedean
import data.real.basic
definition completeness_axiom (k : Type*) [preorder k] : Prop :=
∀ (S : set k), (∃ x, x ∈ S) → (∃ x, ∀ y ∈ S, y ≤ x) →
∃ x, ∀ y, x ≤ y ↔ ∀ z ∈ S, z ≤ y
open function
theorem characterisation_of_reals (k : Type*) [discrete_linear_ordered_field k] [archimedean k] :
c... |
1bec275832d5cc4332eb903466f55b43203b3993 | cbb1957fc3e28e502582c54cbce826d666350eda | /fabstract/Hales_T_et_al_Kepler_conj/fabstract.lean | 434478b007052470e2a7230a3ae77346b9fabc07 | [
"CC-BY-4.0"
] | permissive | andrejbauer/formalabstracts | 9040b172da080406448ad1b0260d550122dcad74 | a3b84fd90901ccf4b63eb9f95d4286a8775864d0 | refs/heads/master | 1,609,476,417,918 | 1,501,541,742,000 | 1,501,541,760,000 | 97,241,872 | 1 | 0 | null | 1,500,042,191,000 | 1,500,042,191,000 | null | UTF-8 | Lean | false | false | 3,283 | lean | import meta_data
...folklore.real_axiom
namespace Hales_T_et_al_Kepler_conj
noncomputable theory
open classical nat set list vector real_axiom
-- cardinality of finite sets.
-- Surely this must exist somewhere. But where?
universe u
def set_of_list {α : Type u} : (list α) → set α
| [] y := false
| (x :: res... |
99ce9c65be9b364f7fbf980f52c485360123bdec | abd85493667895c57a7507870867b28124b3998f | /src/data/fintype/basic.lean | fa253e2e7ac74871df0a572dcc84c4e5edf3ab8b | [
"Apache-2.0"
] | permissive | pechersky/mathlib | d56eef16bddb0bfc8bc552b05b7270aff5944393 | f1df14c2214ee114c9738e733efd5de174deb95d | refs/heads/master | 1,666,714,392,571 | 1,591,747,567,000 | 1,591,747,567,000 | 270,557,274 | 0 | 0 | Apache-2.0 | 1,591,597,975,000 | 1,591,597,974,000 | null | UTF-8 | Lean | false | false | 42,127 | 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
import data.array.lemmas
universes u v
variables {α : Type*} {β : Type*} {γ : Type*}
/-- `fintype α` means that `α` is finite, i.e.... |
9c45b5be2628212958ff1187452d0c84e83f15da | aa3f8992ef7806974bc1ffd468baa0c79f4d6643 | /tests/lean/run/tactic23.lean | 2c5e0b52686c5bd659ac40b2f8bbd0f162956ce6 | [
"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 | 989 | lean | import logic
namespace experiment
inductive nat : Type :=
zero : nat,
succ : nat → nat
namespace nat
definition add (a b : nat) : nat
:= nat.rec a (λ n r, succ r) b
infixl `+` := add
definition one := succ zero
-- Define coercion from num -> nat
-- By default the parser converts numerals into a binary representation... |
6aa5b5a8fd03d4c406cab1d0ec7715fed418208e | c777c32c8e484e195053731103c5e52af26a25d1 | /src/model_theory/quotients.lean | 60ccfe0151a5eec3f7919f2395ad17ab46a4eb50 | [
"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 | 2,554 | lean | /-
Copyright (c) 2022 Aaron Anderson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Aaron Anderson
-/
import data.fintype.quotient
import model_theory.semantics
/-!
# Quotients of First-Order Structures
This file defines prestructures and quotients of first-order str... |
b33e44a9f872f20ad945ed769f572f9ae39a4e18 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/Lean/Compiler/LCNF/AlphaEqv.lean | 476df24ebdf2351a4fd7841fa552b87f9df4e508 | [
"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 | 4,740 | lean | /-
Copyright (c) 2022 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Compiler.LCNF.Basic
namespace Lean.Compiler.LCNF
/-!
Alpha equivalence for LCNF Code
-/
namespace AlphaEqv
abbrev EqvM := ReaderM (FVarIdMap... |
4e19709c932f85b3d4b4043e3704ccfa4cba707f | c31182a012eec69da0a1f6c05f42b0f0717d212d | /src/system_of_complexes/double.lean | 12a61c6e8f4ca7f5f6b82f8ebe36b59d999c850d | [] | no_license | Ja1941/lean-liquid | fbec3ffc7fc67df1b5ca95b7ee225685ab9ffbdc | 8e80ed0cbdf5145d6814e833a674eaf05a1495c1 | refs/heads/master | 1,689,437,983,362 | 1,628,362,719,000 | 1,628,362,719,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 10,348 | lean | import hacks_and_tricks.by_exactI_hack
import system_of_complexes.basic
import facts
universe variables v u
noncomputable theory
open opposite category_theory
open_locale nnreal
/-!
# Systems of double complexes of seminormed groups
In this file we define systems of double complexes of seminormed groups,
as needed ... |
7891cea4939dccbd9dbd3a6d0e76e662cac3d124 | 2c096fdfecf64e46ea7bc6ce5521f142b5926864 | /src/Lean/Linter/UnusedVariables.lean | cad32754e74dccf07a2717fe12ca9f90db15bd6e | [
"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 | 10,639 | lean | import Lean.Elab.Command
import Lean.Linter.Util
import Lean.Server.References
namespace Lean.Linter
open Lean.Elab.Command Lean.Server Std
register_builtin_option linter.unusedVariables : Bool := {
defValue := true,
descr := "enable the 'unused variables' linter"
}
register_builtin_option linter.unusedVariables.... |
016125aa3c8822926c0a0c49f387a9c06a5cef97 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/linear_algebra/basis.lean | f32ebb284f918ead4de5fb2068479883ca13992e | [
"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 | 52,204 | 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, Alexander Bentkamp
-/
import algebra.big_operators.finsupp
import algebra.big_operators.finprod
import data.fintype.card
import linear_algebra.finsupp
i... |
2398ef39f535845d11dbeb462c4f6e7536fba725 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/data/matrix/hadamard.lean | b93f500f0de783819d76318a915773b2c3dfb380 | [
"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 | 3,409 | lean | /-
Copyright (c) 2021 Lu-Ming Zhang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Lu-Ming Zhang
-/
import linear_algebra.matrix.trace
/-!
# Hadamard product of matrices
This file defines the Hadamard product `matrix.hadamard`
and contains basic properties about the... |
363d58dd117ddb9ed8987e990710d5c87c1dc349 | 853df553b1d6ca524e3f0a79aedd32dde5d27ec3 | /src/data/finsupp.lean | 57743f72ad10ceda6dd49f32a4a3e7e75c1e0b65 | [
"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 | 71,380 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Scott Morrison
-/
import algebra.module
import data.fintype.card
import data.multiset.antidiagonal
/-!
# Type of functions with finite support
For any type `α` and a... |
e9ee129701da17e9ac3e3d5f1fcef7aa2ac46f02 | bbecf0f1968d1fba4124103e4f6b55251d08e9c4 | /src/ring_theory/principal_ideal_domain.lean | 020cd87e5d01ad67491b8b68bcdfd194fb3fdc36 | [
"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 | 11,532 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Morenikeji Neri
-/
import ring_theory.unique_factorization_domain
/-!
# Principal ideal rings and principal ideal domains
A principal ideal ring (PIR) is a ring in which ... |
4f41feb64e314a163439a327bd27e426b38a33db | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/algebra/category/Group/colimits.lean | c5e9b2e144e3693bda70a6d52703c2c3ff4d7373 | [
"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 | 9,742 | lean | /-
Copyright (c) 2019 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import algebra.category.Group.preadditive
import group_theory.quotient_group
import category_theory.limits.concrete_category
import category_theory.limits.shapes.kern... |
02d218a171b03fcb76d6c2847e20f0a401ade359 | 8b9f17008684d796c8022dab552e42f0cb6fb347 | /library/algebra/category/functor.lean | 43ef2cc09d1d7e83ed6e9ea4741266d268f28321 | [
"Apache-2.0"
] | permissive | chubbymaggie/lean | 0d06ae25f9dd396306fb02190e89422ea94afd7b | d2c7b5c31928c98f545b16420d37842c43b4ae9a | refs/heads/master | 1,611,313,622,901 | 1,430,266,839,000 | 1,430,267,083,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,207 | lean | /-
Copyright (c) 2014 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Module: algebra.category.functor
Author: Floris van Doorn
-/
import .basic
import logic.cast logic.funext
open function
open category eq eq.ops heq
structure functor (C D : Category) : Type... |
3f980f4396a1683a8a7f90a154944e09b920caa9 | 7c4610454cf55b49f0c3cdaeb6b856eb3249cb2d | /src/general.lean | 33610e1b691e8a7fed2deb7bedea2eda276dd12b | [] | no_license | 101damnations/fg_over_pid | 097be43e11c3680a3fd4b6de2265de393cf4d4ef | a1a587c455a54a802f6ff61b07bb033701e451a7 | refs/heads/master | 1,669,708,904,636 | 1,597,259,770,000 | 1,597,259,770,000 | 287,097,363 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,594 | lean | import linear_algebra.basis
variables {R : Type*} [ring R] {M : Type*} [add_comm_group M] [module R M] {N : Type*}
[add_comm_group N] [module R N] {M' : Type*} [add_comm_group M'] [module R M']
theorem map_inf (p p' : submodule R M) (f : M →ₗ[R] M') (hf : function.injective f) :
p.map f ⊓ p'.map f = (p ⊓ p').map ... |
83d184244b0133c9de19ceef25d1bf5fe9ceff7d | f3849be5d845a1cb97680f0bbbe03b85518312f0 | /tests/lean/num.lean | 33c2dddf0d20bb15aec026226dafc7366191a140 | [
"Apache-2.0"
] | permissive | bjoeris/lean | 0ed95125d762b17bfcb54dad1f9721f953f92eeb | 4e496b78d5e73545fa4f9a807155113d8e6b0561 | refs/heads/master | 1,611,251,218,281 | 1,495,337,658,000 | 1,495,337,658,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 126 | lean | --
#check 10
#check 20
#check 3
#check 1
#check 0
#check 12
#check 13
#check 12138
#check 1221
#check 11
#check 5
#check 21
|
1ba875e834648f884c867325bf87b562d6304d56 | 618003631150032a5676f229d13a079ac875ff77 | /test/trunc_cases.lean | 22d3c6dbb452b616c75906565cfdc95dce0e0571 | [
"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 | 2,389 | lean | import tactic.trunc_cases
import tactic.interactive
import data.quot
example (t : trunc ℕ) : punit :=
begin
trunc_cases t,
exact (),
-- no more goals, because `trunc_cases` used the correct `trunc.rec_on_subsingleton` recursor
end
example (t : trunc ℕ) : ℕ :=
begin
trunc_cases t,
guard_hyp t := ℕ, -- verify... |
f822f88a54129bfe0d07a2dd010a4dfaa3da0d58 | ea11767c9c6a467c4b7710ec6f371c95cfc023fd | /src/monoidal_categories/enriched/enriched_category_old.lean | b58efaaaab78a51c274766cefbc03b979050c0fe | [] | 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 | 4,010 | 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 ..monoidal_category
-- namespace categories.enriched
-- open categories
-- open categories.monoidal_category
-- structure {u ... |
d4803bb6866915c064d50ca1c4f71daa81ff0360 | 302c785c90d40ad3d6be43d33bc6a558354cc2cf | /src/algebra/group/pi.lean | 5d6fef1254a959186fc99266098b5db93748ff73 | [
"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 | 8,185 | 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 data.pi
import data.set.function
import tactic.pi_instances
import algebra.group.defs
import algebra.group.hom
/-!
# Pi instances for groups and mono... |
f99b22e2853b17730ffe6f9d39d1bde66dff1303 | aa3f8992ef7806974bc1ffd468baa0c79f4d6643 | /library/data/prod/thms.lean | 088692a809108bd0fa3d123a2881e2f313e724a6 | [
"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 | 4,921 | lean | -- Copyright (c) 2014 Microsoft Corporation. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Author: Leonardo de Moura, Jeremy Avigad
import data.prod.decl logic.inhabited logic.eq logic.decidable
open inhabited decidable eq.ops
namespace prod
variables {A B : Type} {a... |
27295bf834e9bf150109b02454b08dc78398d502 | 80cc5bf14c8ea85ff340d1d747a127dcadeb966f | /src/control/lawful_fix.lean | 1996f60b5173ad1b82113e92871219362ba63619 | [
"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 | 7,786 | lean | /-
Copyright (c) 2020 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Simon Hudon
-/
import tactic.apply
import control.fix
import order.omega_complete_partial_order
/-!
# Lawful fixed point operators
This module defines the laws required of a `has_fix` i... |
1ed29d5a40c3dd603f9dc76b48ae615b42b2e2a9 | fe25de614feb5587799621c41487aaee0d083b08 | /stage0/src/Lean/Elab/Deriving/FromToJson.lean | 3a0fd8f9dcdb43f407298c6fc3297fd49d0aee43 | [
"Apache-2.0"
] | permissive | pollend/lean4 | e8469c2f5fb8779b773618c3267883cf21fb9fac | c913886938c4b3b83238a3f99673c6c5a9cec270 | refs/heads/master | 1,687,973,251,481 | 1,628,039,739,000 | 1,628,039,739,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 8,581 | lean | /-
Copyright (c) 2020 Sebastian Ullrich. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sebastian Ullrich, Dany Fabian
-/
import Lean.Meta.Transform
import Lean.Elab.Deriving.Basic
import Lean.Elab.Deriving.Util
import Lean.Data.Json.FromToJson
namespace Lean.Elab.Der... |
e64f63c1d1c359201db59a6b07c9ed357ef82107 | 94e33a31faa76775069b071adea97e86e218a8ee | /src/field_theory/separable.lean | 133da3305d72f7b3369f1a2ce5cc452380e78886 | [
"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 | 21,379 | 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.polynomial.big_operators
import algebra.squarefree
import field_theory.minpoly
import field_theory.splitting_field
import data.polynomial.expand
/-!
# Separab... |
4c81d1b137736386b8c4dc25280b5fae60c2e1d6 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/meta2.lean | b368882c15d514d9926aeb0772e8d32f0806727e | [
"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 | 218 | lean | import system.io
open io
meta definition foo : nat → nat
| a := nat.cases_on a 1 (λ n, foo n + 2)
#eval (foo 10)
meta definition loop : nat → io unit
| a := do put_str ">> ", print a, put_str "\n", loop (a+1)
|
4d0549e35c94105347fe0e9ce32e2ed87870d278 | 618003631150032a5676f229d13a079ac875ff77 | /src/tactic/apply_fun.lean | 59562ed116f0eedb847d8e15fd163a56f9ce3bb6 | [
"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 | 2,759 | lean | /-
Copyright (c) 2019 Patrick Massot. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Keeley Hoek, Patrick Massot
-/
import tactic.monotonicity
namespace tactic
/-- Apply the function `f` given by `e : pexpr` to the local hypothesis `hyp`, which must either be
of the ... |
5236ec85ba2acc6aaf397bdcbe1da75aabeaeecb | ce6917c5bacabee346655160b74a307b4a5ab620 | /src/ch4/ex0204.lean | 5e5c48a29c2579cbd455a5d2947b3d9478146387 | [] | 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 | 153 | lean | universe u
variables (α : Type u) (a b c d : α)
variables (hab : a = b) (hcb : c = b) (hcd : c = d)
example : a = d := (hab.trans hcb.symm).trans hcd
|
810ff3830926eb9b3cbcf34746828a2ed43c0355 | d1a52c3f208fa42c41df8278c3d280f075eb020c | /tests/compiler/partial.lean | 7a9139a8f5610d5450498cc50c627192ae6d72ef | [
"Apache-2.0",
"LLVM-exception",
"NCSA",
"LGPL-3.0-only",
"LicenseRef-scancode-inner-net-2.0",
"BSD-3-Clause",
"LGPL-2.0-or-later",
"Spencer-94",
"LGPL-2.1-or-later",
"HPND",
"LicenseRef-scancode-pcre",
"ISC",
"LGPL-2.1-only",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | cipher1024/lean4 | 6e1f98bb58e7a92b28f5364eb38a14c8d0aae393 | 69114d3b50806264ef35b57394391c3e738a9822 | refs/heads/master | 1,642,227,983,603 | 1,642,011,696,000 | 1,642,011,696,000 | 228,607,691 | 0 | 0 | Apache-2.0 | 1,576,584,269,000 | 1,576,584,268,000 | null | UTF-8 | Lean | false | false | 341 | lean |
set_option pp.explicit true
-- set_option trace.compiler.boxed true
partial def contains : String → Char → Nat → Bool
| s, c, i =>
if s.atEnd i then false
else if s.get i == c then true
else contains s c (s.next i)
def main : IO Unit :=
let s1 := "hello";
IO.println (contains s1 'a' 0) *>
IO.println (cont... |
b7d9a08a4fd076ed2de97c0851039c36465f98cd | 35677d2df3f081738fa6b08138e03ee36bc33cad | /src/topology/algebra/ordered.lean | b88f7db7aec4b390dcea4c26fe6249352a4a47dd | [
"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 | 78,936 | 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, Yury Kudryashov
-/
import tactic.tfae
import order.liminf_limsup
import data.set.intervals
import topology.algebra.group
import topology.constructions
... |
128d2762dbe4560c306f12046bb2a05299163c2f | dd4e652c749fea9ac77e404005cb3470e5f75469 | /src/cone.lean | eed50b78cb6eea5a312e0c106735a985a0633317 | [] | no_license | skbaek/cvx | e32822ad5943541539966a37dee162b0a5495f55 | c50c790c9116f9fac8dfe742903a62bdd7292c15 | refs/heads/master | 1,623,803,010,339 | 1,618,058,958,000 | 1,618,058,958,000 | 176,293,135 | 3 | 2 | null | null | null | null | UTF-8 | Lean | false | false | 2,557 | lean |
import linear_algebra.basic
import data.real.basic
import data.set.basic
import tactic.interactive
import .inner_product_space
noncomputable theory
local attribute [instance] classical.prop_decidable
section basic
variables
{α : Type*}
[has_scalar ℝ α]
{ι : Sort _}
(A : set α) (B : set α) (x : α)
open... |
f21175855ebcafead093d0e4265c2f9c187895d4 | 75db7e3219bba2fbf41bf5b905f34fcb3c6ca3f2 | /library/algebra/order_bigops.lean | c9276ce43e52cd9dec6eb9942112c4e888eeeaf5 | [
"Apache-2.0"
] | permissive | jroesch/lean | 30ef0860fa905d35b9ad6f76de1a4f65c9af6871 | 3de4ec1a6ce9a960feb2a48eeea8b53246fa34f2 | refs/heads/master | 1,586,090,835,348 | 1,455,142,203,000 | 1,455,142,277,000 | 51,536,958 | 1 | 0 | null | 1,455,215,811,000 | 1,455,215,811,000 | null | UTF-8 | Lean | false | false | 19,027 | lean | /-
Copyright (c) 2016 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad
Min and max over finite sets.
To support constructive theories, we start with the class
decidable_linear_ordered_cancel_comm_monoid, because:
(1) We need a decidable lin... |
8652d80005d399a4987332b49644bd7153a7908a | 80cc5bf14c8ea85ff340d1d747a127dcadeb966f | /src/category_theory/closed/cartesian.lean | eb5572f5e921d1fdeb3439ac7fa62add83c634fc | [
"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 | 16,495 | lean | /-
Copyright (c) 2020 Bhavik Mehta, Edward Ayers, Thomas Read. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Bhavik Mehta, Edward Ayers, Thomas Read
-/
import category_theory.limits.shapes.finite_products
import category_theory.limits.shapes.constructions.preserve_bi... |
2ba1e7a8ff9fa28922327dffc0bf5cc89f277815 | 1b8f093752ba748c5ca0083afef2959aaa7dace5 | /src/category_theory/universal/opposites.lean | 35ba76aa93ef8c8eb2d6b00293f1bfbf653059e1 | [] | no_license | khoek/lean-category-theory | 7ec4cda9cc64a5a4ffeb84712ac7d020dbbba386 | 63dcb598e9270a3e8b56d1769eb4f825a177cd95 | refs/heads/master | 1,585,251,725,759 | 1,539,344,445,000 | 1,539,344,445,000 | 145,281,070 | 0 | 0 | null | 1,534,662,376,000 | 1,534,662,376,000 | null | UTF-8 | Lean | false | false | 1,151 | lean | -- Copyright (c) 2018 Scott Morrison. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Authors: Scott Morrison, Daniel Barter
import category_theory.opposites
import category_theory.equivalence
import category_theory.universal.cones
import category_theory.limits
open cat... |
9525ea6ca7938ffc3ffeb881a332d0c66a30025c | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/topology/sheaves/stalks.lean | 61956d8613af183f27810a8c3c7cc1e6e50f1b77 | [
"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 | 20,621 | lean | /-
Copyright (c) 2019 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison, Justus Springer
-/
import topology.category.Top.open_nhds
import topology.sheaves.presheaf
import topology.sheaves.sheaf_condition.unique_gluing
import category_theory.... |
74dde7e145fbfdd4aefdb3a0e0e309adc1654206 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/data/real/cardinality.lean | d301d012069d2ef4b04ac82a4c1d25be80dfaa56 | [
"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 | 9,588 | lean | /-
Copyright (c) 2019 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn
-/
import analysis.specific_limits.basic
import data.rat.denumerable
import data.set.intervals.image_preimage
import set_theory.cardinal.continuum
/-!
# The cardina... |
338cb513baead01c6b2cd6b942936fc4132a99f9 | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /stage0/src/Lean/Parser/Extension.lean | 35e724664f775979bd789c1c7e51ec44cf9af288 | [
"Apache-2.0",
"LLVM-exception",
"NCSA",
"LGPL-3.0-only",
"LicenseRef-scancode-inner-net-2.0",
"BSD-3-Clause",
"LGPL-2.0-or-later",
"Spencer-94",
"LGPL-2.1-or-later",
"HPND",
"LicenseRef-scancode-pcre",
"ISC",
"LGPL-2.1-only",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | EdAyers/lean4 | 57ac632d6b0789cb91fab2170e8c9e40441221bd | 37ba0df5841bde51dbc2329da81ac23d4f6a4de4 | refs/heads/master | 1,676,463,245,298 | 1,660,619,433,000 | 1,660,619,433,000 | 183,433,437 | 1 | 0 | Apache-2.0 | 1,657,612,672,000 | 1,556,196,574,000 | Lean | UTF-8 | Lean | false | false | 31,695 | lean | /-
Copyright (c) 2020 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura, Sebastian Ullrich
-/
import Lean.ResolveName
import Lean.ScopedEnvExtension
import Lean.Parser.Basic
import Lean.Parser.StrInterpolation
import Lean.KeyedDecl... |
2f413a500e91f572de45447ac8f3adc07fbc6d83 | 9dd3f3912f7321eb58ee9aa8f21778ad6221f87c | /tests/lean/run/elab3.lean | 88608ec2b52c40439650f70e703aed8e0b1c85cb | [
"Apache-2.0"
] | permissive | bre7k30/lean | de893411bcfa7b3c5572e61b9e1c52951b310aa4 | 5a924699d076dab1bd5af23a8f910b433e598d7a | refs/heads/master | 1,610,900,145,817 | 1,488,006,845,000 | 1,488,006,845,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 89 | lean | set_option pp.binder_types true
axiom Sorry {A : Sort*} : A
check (Sorry : ∀ a, a > 0)
|
4feec8487b4a0d9fafcf7ad2f7ff811973d0b6ff | 75c54c8946bb4203e0aaf196f918424a17b0de99 | /old/reflect_test.lean | d0e25a7d4b00f48146d2ca47165f86d2f4047bef | [
"Apache-2.0"
] | permissive | urkud/flypitch | 261e2a45f1038130178575406df8aea78255ba77 | 2250f5eda14b6ef9fc3e4e1f4a9ac4005634de5c | refs/heads/master | 1,653,266,469,246 | 1,577,819,679,000 | 1,577,819,679,000 | 259,862,235 | 1 | 0 | Apache-2.0 | 1,588,147,244,000 | 1,588,147,244,000 | null | UTF-8 | Lean | false | false | 7,059 | lean | import .fol .abel
universe u
section weekdays
@[derive has_reflect]
inductive weekday : Type
| monday : weekday
| another_day : weekday → weekday
open weekday
meta def dump_weekday (f : weekday) : tactic unit :=
tactic.trace $ to_string (expr.to_raw_fmt (reflect f).to_expr)
-- run_cmd dump_weekday (a... |
13eb368db661771ec112edcb7effb4738a5eb4d4 | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /hott/types/arrow_2.hlean | 148a431fd8c135a1c4e900a376d4521cd18868fc | [
"Apache-2.0"
] | permissive | soonhokong/lean-osx | 4a954262c780e404c1369d6c06516161d07fcb40 | 3670278342d2f4faa49d95b46d86642d7875b47c | refs/heads/master | 1,611,410,334,552 | 1,474,425,686,000 | 1,474,425,686,000 | 12,043,103 | 5 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 4,091 | hlean | /-
Copyright (c) 2015 Ulrik Buchholtz. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Ulrik Buchholtz
-/
import ..function
open eq is_equiv function
namespace arrow
structure arrow :=
(dom : Type)
(cod : Type)
(arrow : dom → cod)
abbreviation dom [... |
e8c77a81de09061d1e54751c8c79c646645a3614 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/control/applicative.lean | 7afdd96e3367fb831b95b604c43a5e5517862a4c | [
"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 | 4,973 | lean | /-
Copyright (c) 2017 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon
-/
import algebra.group.defs
import control.functor
/-!
# `applicative` instances
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file require a correspondi... |
9e4cc073fe5eb5cbffdbbeb279716d2e53cf2172 | 69d4931b605e11ca61881fc4f66db50a0a875e39 | /src/field_theory/polynomial_galois_group.lean | f837e799837ad44a624fe6162c610b1b4011ba32 | [
"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 | 21,477 | lean | /-
Copyright (c) 2020 Thomas Browning, Patrick Lutz. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Thomas Browning, Patrick Lutz
-/
import analysis.complex.polynomial
import field_theory.galois
import group_theory.perm.cycle_type
import ring_theory.eisenstein_criteri... |
86a62c5e6d56f36f7c441a9c83b512fb511ecc7b | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/data/list/nodup.lean | 3b323391f18c2c5de74507c25924acf6d481c198 | [
"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 | 14,530 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Kenny Lau
-/
import data.list.lattice
import data.list.pairwise
import data.list.forall2
import data.set.pairwise.basic
/-!
# Lists with no duplicates
> THIS FILE IS ... |
ad2978b2859540b877224eb9efba453050877953 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/data/set/equitable.lean | 4d3d766714651482872558ba6f4062ae80b8bf0e | [
"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 | 4,185 | lean | /-
Copyright (c) 2021 Yaël Dillies, Bhavik Mehta. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yaël Dillies, Bhavik Mehta
-/
import algebra.big_operators.order
import data.nat.basic
/-!
# Equitable functions
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes ... |
808e147cee739521a020809d0adb6b067aa65862 | 624f6f2ae8b3b1adc5f8f67a365c51d5126be45a | /stage0/src/Init/Default.lean | 40d6ec9df0a20b9a33c43329dff5d20b4794e0a9 | [
"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 | 361 | lean | /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
prelude
import Init.Core
import Init.Control
import Init.Data.Basic
import Init.WF
import Init.Data
import Init.System
import Init.Util
import Init.Fix
impo... |
ba8c58c2f67874f55d00e6101eb5877ed8238d1d | d436468d80b739ba7e06843c4d0d2070e43448e5 | /src/data/zmod/basic.lean | e0eda6c5637d577e0a795a87075bf8fb8c3eb44f | [
"Apache-2.0"
] | permissive | roro47/mathlib | 761fdc002aef92f77818f3fef06bf6ec6fc1a28e | 80aa7d52537571a2ca62a3fdf71c9533a09422cf | refs/heads/master | 1,599,656,410,625 | 1,573,649,488,000 | 1,573,649,488,000 | 221,452,951 | 0 | 0 | Apache-2.0 | 1,573,647,693,000 | 1,573,647,692,000 | null | UTF-8 | Lean | false | false | 21,017 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Chris Hughes
# zmod and zmodp
Definition of the integers mod n, and the field structure on the integers mod p.
There are two types defined, `zmod n`, which is for integers modulo a pos... |
d6f3db61903caa104fd59f6a201597f9fc5b9d62 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/1812.lean | a95ec42979bd0bec5e895508e405b7f278613458 | [
"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 | 92 | lean | set_option trace.Compiler.result true
def notList : List Prop → List Prop := List.map Not
|
5939e8ae85621445b91346610d2465c153f92ad8 | 36938939954e91f23dec66a02728db08a7acfcf9 | /lean/deps/galois_stdlib/src/galois/data/bitvec/basic.lean | 42fb3a16368b3645081831ece4733fe073f936a9 | [
"Apache-2.0"
] | permissive | pnwamk/reopt-vcg | f8b56dd0279392a5e1c6aee721be8138e6b558d3 | c9f9f185fbefc25c36c4b506bbc85fd1a03c3b6d | refs/heads/master | 1,631,145,017,772 | 1,593,549,019,000 | 1,593,549,143,000 | 254,191,418 | 0 | 0 | null | 1,586,377,077,000 | 1,586,377,077,000 | null | UTF-8 | Lean | false | false | 13,601 | lean | /-
Copyright (c) 2015 Joe Hendrix. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joe Hendrix, Sebastian Ullrich, Jason Dagit
Basic operations on bitvectors.
This is a work-in-progress, and contains additions to other theories.
-/
import galois.data.nat.basic
import ... |
251d7b66facabe2640eb216de18c56ec70e14289 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/t9.lean | dbd15cd4e967f46c684e9e2e9c0e86462cba9173 | [
"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 | 396 | lean | prelude precedence `+` : 65
precedence `*` : 75
precedence `=` : 50
precedence `≃` : 50
constant N : Type.{1}
constant a : N
constant b : N
constant add : N → N → N
constant mul : N → N → N
namespace foo
infixl + := add
infixl * := mul
check a+b*a
end foo
-- Notation is not avaiable outside the namespace
check a+... |
cbc05645a80ff32ddc5a1ac3cc6f12df95042d8a | 5b0c53e5aaa0e60538d10f6b619a464aaf463815 | /ch2.hlean | 6c88c2db2c82da47e0598317eff0b6fe8ef9ab0a | [
"Apache-2.0"
] | permissive | bbentzen/hott-book-in-lean | f845a19ef09d48d2fb813624b4650d5832a47e10 | 9e262e633e653280b9cde5d287631fcec8501f64 | refs/heads/master | 1,586,430,679,994 | 1,519,975,089,000 | 1,519,975,089,000 | 50,330,220 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 39,449 | hlean | /-
Copyright (c) 2016 Bruno Bentzen. All rights reserved.
Released under the Apache License 2.0 (see "License");
Theorems and exercises of the HoTT book (Chapter 2)
-/
import .ch1 types.bool
open eq prod sum sigma bool lift
/- ************************************** -/
/- Ch.2 Homotopy Type Theory -/
... |
3ecefc9c79432777c4b5755f68236a29723bb8ad | 46125763b4dbf50619e8846a1371029346f4c3db | /src/data/real/basic.lean | d2f8f3bf29da9283cc7e101d23cb735f44a23bc8 | [
"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 | 25,898 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Floris van Doorn
The (classical) real numbers ℝ. This is a direct construction
from Cauchy sequences.
-/
import order.conditionally_complete_lattice data.real.cau_seq_... |
d39a883814a0c3210ff5f875bbbb3537f2cc51b1 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /test/rewrite_search/rewrite_search.lean | 4c3c4ccf547d252854da476f6ae4782df1c80403 | [
"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 | 3,406 | lean | /-
Copyright (c) 2020 Kevin Lacker, Keeley Hoek, Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kevin Lacker, Keeley Hoek, Scott Morrison
-/
import tactic.rewrite_search
import data.rat.basic
import data.real.basic
/-
These tests ensure that `rewrite_s... |
ab11d542da6e4102beae2cc173b641783724bbf3 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/303.lean | d02e7f51d17f685d7d251f1d7f7c2642db277b9a | [
"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 | 30 | lean | #eval (2147483648 / 0) + (-0)
|
14c6fd0cae44761096592b56a4215a17c67738c8 | cf39355caa609c0f33405126beee2739aa3cb77e | /library/init/algebra/default.lean | 7e83c3c3cd17cd123550018c2abdfc5cdf2dd7a9 | [
"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 | 202 | 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.algebra.functions
|
be0af9ce7f601e3fb123c8544f70c09b22c957b7 | 0d2e44896897eda703992595d71a0b19ed30b8a1 | /uexp/src/uexp/rules/conjunctive.lean | 93bbd1b4d1561a10063990bf986ca99b154f61fd | [
"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 | 899 | lean | import ..u_semiring
import ..sql
import ..tactics
open SQL
open Pred
open Expr
open Proj
lemma CQExample0:
forall Γ s1 s2 (a: SQL Γ s1) (b: SQL Γ s2)
ty0 ty1 (x: Column ty0 s1)
(ya: Column ty1 s1) (yb: Column ty1 s2),
denoteSQL ((DISTINCT (SELECT1 (right⋅left⋅x) (FROM1 (product a b... |
00168c48863dd89d583a3727628bdf4fca5afe0c | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/category_theory/limits/opposites.lean | 88f821f6e171d61574f6ed0a046dbb2c372617e7 | [
"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 | 5,367 | lean | /-
Copyright (c) 2019 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison, Floris van Doorn
-/
import category_theory.limits.shapes.finite_products
import category_theory.limits.shapes.kernels
import category_theory.discrete_category
universe... |
52b30b53c28eb4b860d2cb90b16d6cc88384e7fc | 969dbdfed67fda40a6f5a2b4f8c4a3c7dc01e0fb | /src/algebra/group/basic.lean | 1e94732442949fd2d3b08c536e80b0158e4e08fb | [
"Apache-2.0"
] | permissive | SAAluthwela/mathlib | 62044349d72dd63983a8500214736aa7779634d3 | 83a4b8b990907291421de54a78988c024dc8a552 | refs/heads/master | 1,679,433,873,417 | 1,615,998,031,000 | 1,615,998,031,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 16,157 | 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, Simon Hudon, Mario Carneiro
-/
import algebra.group.defs
import logic.function.basic
/-!
# Basic lemmas about semigroups, monoids, and groups
This f... |
fdc94ab3b408c54fdb883569818163ab75d2840c | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/analysis/inner_product_space/adjoint.lean | e03af80401fc1249b3b1007586e412efbcea6975 | [
"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 | 18,841 | lean | /-
Copyright (c) 2021 Frédéric Dupuis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Frédéric Dupuis, Heather Macbeth
-/
import analysis.inner_product_space.dual
import analysis.inner_product_space.pi_L2
/-!
# Adjoint of operators on Hilbert spaces
Given an operato... |
4ab5bb579e7439c3b99dd76919789f0ed19c48c1 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/order/symm_diff.lean | 8ff6d2324906e5fb03a698e8b4fb0637bfedb7dd | [
"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 | 10,599 | lean | /-
Copyright (c) 2021 Bryan Gin-ge Chen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Adam Topaz, Bryan Gin-ge Chen
-/
import order.boolean_algebra
/-!
# Symmetric difference
The symmetric difference or disjunctive union of sets `A` and `B` is the set of elements ... |
f211c7421b35ca22974c8bfa8d0a368ffd09bcb7 | 5e60919d574b821fabd9387be5589c0c4d3f3fe2 | /test/example.lean | 32c8b86f7d7faf95969b20cada117ab0e2d2606f | [] | no_license | unitb/unitb-pointers | 3fc72b873377a12e3f677ccd30143fc001a56c63 | c057420c1e72bba00181bc6db30cf369ef2bfd23 | refs/heads/master | 1,629,969,967,065 | 1,511,386,892,000 | 1,511,386,892,000 | 110,323,164 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 741 | lean |
import language.unitb.parser
open list -- unitb.parser
machine foo
variables x, y
invariants
bar: x ∪ y ⊆ x
initialization
x := ∅, y := ∅
events
move
when grd1 : ∅ ∈ x
then end
add_x begin x := y end
swap begin x,y := y,x end
proofs
bar :=
begin
simp [x_1,y_1], admit,
end,
end
#print fo... |
3d5cde0947524c41ba02133e14cbf9af1030dc7d | 302c785c90d40ad3d6be43d33bc6a558354cc2cf | /src/category_theory/limits/opposites.lean | 1a2f74f1909f08f0583e3e943e4954bf2a2e4cdd | [
"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 | 4,375 | lean | /-
Copyright (c) 2019 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison, Floris van Doorn
-/
import category_theory.limits.shapes.products
import category_theory.discrete_category
universes v u
noncomputable theory
open category_theory
op... |
08f396439c2a890246128b3e95afc545e04ce356 | dd4e652c749fea9ac77e404005cb3470e5f75469 | /src/LP.lean | 7a1aeba69f091863a73be3f032ec96226e91515c | [] | no_license | skbaek/cvx | e32822ad5943541539966a37dee162b0a5495f55 | c50c790c9116f9fac8dfe742903a62bdd7292c15 | refs/heads/master | 1,623,803,010,339 | 1,618,058,958,000 | 1,618,058,958,000 | 176,293,135 | 3 | 2 | null | null | null | null | UTF-8 | Lean | false | false | 4,100 | lean | import .NN .misc system.io
variables {α : Type} [has_mul α] [add_comm_monoid α] [has_le α]
variables {k m n : nat}
structure LP (α : Type) (m n : nat) :=
(obf : N α)
(lhs : NN α)
(rhs : N α)
def LP.feasible : LP α m n → N α → Prop
| ⟨c, A, b⟩ x := N.le m (mul_vec n A x) b ∧ (N.le n (N.zero α) x)
def LP.is_feas... |
bcfc0afd9283f3682c6dcb6fe2760db482b7ae01 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/topology/G_delta.lean | 71ae4d3de353eb1e96627d2f4d19b65c57a69770 | [
"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 | 6,845 | lean | /-
Copyright (c) 2019 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel, Yury Kudryashov
-/
import topology.uniform_space.basic
import topology.separation
/-!
# `Gδ` sets
In this file we define `Gδ` sets and prove their basic propert... |
ca737ec81faef5780395c44f6a1f9b06a88e0362 | 54deab7025df5d2df4573383df7e1e5497b7a2c2 | /data/bool.lean | 8581d671abd1c90dd7b8c9fa3d1a8cb1e5c5c16f | [
"Apache-2.0"
] | permissive | HGldJ1966/mathlib | f8daac93a5b4ae805cfb0ecebac21a9ce9469009 | c5c5b504b918a6c5e91e372ee29ed754b0513e85 | refs/heads/master | 1,611,340,395,683 | 1,503,040,489,000 | 1,503,040,489,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,605 | lean | /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura, Jeremy Avigad
-/
namespace bool
-- TODO(Jeremy): is this right?
@[simp] theorem coe_tt : (↑tt : Prop) := dec_trivial
theorem band_tt (a : bool) : a && tt = ... |
de72b907f00462bf48c5c92b9d1b9f53ca0630db | f4bff2062c030df03d65e8b69c88f79b63a359d8 | /kb_solns/sets_level09.lean | c7e90bc4da6d71224e40bfc6e796e141d5242d2f | [
"Apache-2.0"
] | permissive | adastra7470/real-number-game | 776606961f52db0eb824555ed2f8e16f92216ea3 | f9dcb7d9255a79b57e62038228a23346c2dc301b | refs/heads/master | 1,669,221,575,893 | 1,594,669,800,000 | 1,594,669,800,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 776 | lean | import data.real.basic
/-
# Chapter 1 : Sets
## Level 9
-/
/-
This is a little more complicated example asking you to work with intervals of reals.
The result will be of help in the sup-inf world.
-/
notation `[` a `,` b `]` := set.Icc a b
def mem_prod_sets (A : set ℝ) (B : set ℝ) := { x : ℝ | ∃ y ∈ A, ∃ z ∈ B, ... |
43a4b653e8903f7e32bc9277844bcd56020c57ee | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/ring_theory/ideal/associated_prime.lean | 5306118f8f003218f846d5a7f01835655dcf48b0 | [
"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 | 6,401 | lean | /-
Copyright (c) 2022 Andrew Yang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Andrew Yang
-/
import linear_algebra.span
import ring_theory.ideal.operations
import ring_theory.ideal.quotient_operations
import ring_theory.noetherian
/-!
# Associated primes of a mod... |
dcf54c31ff53ec38d4a25d1b91942b5b77a36e85 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/field_theory/adjoin.lean | caaa9d554f777a828ef7852de7ae252c2621407d | [
"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 | 45,292 | lean | /-
Copyright (c) 2020 Thomas Browning, Patrick Lutz. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Thomas Browning, Patrick Lutz
-/
import field_theory.intermediate_field
import field_theory.separable
import ring_theory.tensor_product
/-!
# Adjoining Elements to Fie... |
d86c20fc4e1b457a56a8b6af04f0c5622af17ab5 | dc253be9829b840f15d96d986e0c13520b085033 | /pointed_binary.hlean | d3c8a602111754afa26d84e199cb15ad7b0da430 | [
"Apache-2.0"
] | permissive | cmu-phil/Spectral | 4ce68e5c1ef2a812ffda5260e9f09f41b85ae0ea | 3b078f5f1de251637decf04bd3fc8aa01930a6b3 | refs/heads/master | 1,685,119,195,535 | 1,684,169,772,000 | 1,684,169,772,000 | 46,450,197 | 42 | 13 | null | 1,505,516,767,000 | 1,447,883,921,000 | Lean | UTF-8 | Lean | false | false | 10,541 | hlean | /-
Copyright (c) 2018 Ulrik Buchholtz. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn
-/
import .pointed_pi
open eq pointed equiv sigma is_equiv trunc option pi function fiber sigma.ops
namespace pointed
section bpmap
/- binary pointed maps -/
stru... |
8247878e2f0f2902767167b76675478eb14021e5 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/number_theory/fermat4.lean | e802a60fc2046d838bc91a867837e7316928ec33 | [
"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 | 11,883 | lean | /-
Copyright (c) 2020 Paul van Wamelen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Paul van Wamelen
-/
import number_theory.pythagorean_triples
import ring_theory.coprime.lemmas
import tactic.linear_combination
/-!
# Fermat's Last Theorem for the case n = 4
> THI... |
5e8f5c29a16e8eb1b6e892d9a99a3766b2a01509 | a45212b1526d532e6e83c44ddca6a05795113ddc | /src/data/set/enumerate.lean | 16a2dd83830f6e3c9396c18f346d8257943643ca | [
"Apache-2.0"
] | permissive | fpvandoorn/mathlib | b21ab4068db079cbb8590b58fda9cc4bc1f35df4 | b3433a51ea8bc07c4159c1073838fc0ee9b8f227 | refs/heads/master | 1,624,791,089,608 | 1,556,715,231,000 | 1,556,715,231,000 | 165,722,980 | 5 | 0 | Apache-2.0 | 1,552,657,455,000 | 1,547,494,646,000 | Lean | UTF-8 | Lean | false | false | 2,383 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Johannes Hölzl
Enumerate elements of a set with a select function.
-/
import data.set.lattice tactic.wlog
noncomputable theory
open function set
namespace set
section enumerate
par... |
6a3147427a64f3f88bd65e132971ca3be064d935 | d9d511f37a523cd7659d6f573f990e2a0af93c6f | /src/data/rat/basic.lean | 6e01c9c3d9ee7b6edd0885351dad46981a9ad09f | [
"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 | 30,788 | lean | /-
Copyright (c) 2019 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro
-/
import data.equiv.encodable.basic
import algebra.euclidean_domain
import data.nat.gcd
import data.int.cast
/-!
# Basics for the Rational Numbers
## ... |
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