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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
ea0e1a3cf421bf95693314f6035677e26570f5a4 | 4d7079ae603c07560e99d1ce35876f769cbb3e24 | /src/main.lean | 38c5559735765541583f31b78db4fe4fcebc79b3 | [] | no_license | chasenorman/Formalized-Voting | 72493a08aa09d98d0fb589731b842e2d08c991d0 | de04e630b83525b042db166670ba97f9952b5691 | refs/heads/main | 1,687,282,160,284 | 1,627,155,031,000 | 1,627,155,031,000 | 370,472,025 | 13 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 8,189 | lean | import set_theory.cardinal
import data.finset.basic
import data.stream.basic
import tactic
import cycles
open_locale classical
noncomputable theory
-- Definition 1: Prof V X represents the set of (V, X)-profiles
def Prof : Type → Type → Type := λ (V X : Type), V → X → X → Prop
-- Definition 2: Given a profile P and ... |
80fd71a98e755ed63da8d1a0551777748ea1019b | 40c8b73f5a82a3c09e3d1956df44aad9ffd510b7 | /src/has_deriv.lean | db2e622c682b8ebbbcf662c50126c7f5c4463b84 | [] | no_license | lean-forward/cap_set_problem | 343c02d42775eb25b32b6c567d13769fd42dd4ca | 095a2f18f81c551a0053f2e65806de751e438fc4 | refs/heads/master | 1,626,463,115,144 | 1,561,829,195,000 | 1,561,829,195,000 | 178,678,372 | 7 | 1 | null | 1,625,412,745,000 | 1,554,031,306,000 | Lean | UTF-8 | Lean | false | false | 6,482 | lean | /-
Copyright (c) 2018 Sander Dahmen, Johannes Hölzl, Robert Y. Lewis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sander Dahmen, Johannes Hölzl, Robert Y. Lewis
"On large subsets of 𝔽ⁿ_q with no three-term arithmetic progression"
by J. S. Ellenberg and D. Gijswijt... |
76c690503ee4b333f436e65527690dbf68e67962 | 1abd1ed12aa68b375cdef28959f39531c6e95b84 | /src/analysis/special_functions/trigonometric/complex.lean | 8059b8a2bfb5347cab8947313723ea19f988bf6b | [
"Apache-2.0"
] | permissive | jumpy4/mathlib | d3829e75173012833e9f15ac16e481e17596de0f | af36f1a35f279f0e5b3c2a77647c6bf2cfd51a13 | refs/heads/master | 1,693,508,842,818 | 1,636,203,271,000 | 1,636,203,271,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 10,018 | 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 algebra.quadratic_discriminant
import analysis.special_functions.complex.log
import analysis.com... |
d6a186d11077beb08e33a23e1d06e07c0b7f9b32 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/dynamics/circle/rotation_number/translation_number.lean | 969ddf625c1272801c7b59ba34d95a2bfbd34849 | [
"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 | 39,509 | lean | /-
Copyright (c) 2020 Yury G. Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury G. Kudryashov
-/
import algebra.hom.iterate
import analysis.specific_limits.basic
import order.iterate
import order.semiconj_Sup
import topology.algebra.order.monotone_continu... |
2f1b2b12efb1222cef2b1c64db741e2ff6ff3a2b | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/logic/equiv/local_equiv.lean | 901d263f3cdd2faad634d11b5ec0ef40a10ee6a4 | [
"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 | 35,819 | lean | /-
Copyright (c) 2019 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import data.set.function
import logic.equiv.defs
/-!
# Local equivalences
This files defines equivalences between subsets of given types.
An element `e` of `l... |
11122ef46297f5af3c7e95504eeacde3d734c143 | 618003631150032a5676f229d13a079ac875ff77 | /src/topology/algebra/module.lean | f017275c1167860b32cf405351fef8b425a512a6 | [
"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 | 38,727 | lean | /-
Copyright (c) 2019 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jan-David Salchow, Sébastien Gouëzel, Jean Lo, Yury Kudryashov
-/
import topology.algebra.ring
import topology.uniform_space.uniform_embedding
import ring_theory.algebra
import line... |
153a8a87ddfbfa7fac21c89761d5c80144f6b1c5 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/deprecated/subgroup.lean | 6e164389592e0333596be59a8e7084c98aa96642 | [
"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 | 25,368 | lean | /-
Copyright (c) 2018 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mitchell Rowett, Scott Morrison, Johan Commelin, Mario Carneiro,
Michael Howes
-/
import group_theory.subgroup.basic
import deprecated.submonoid
/-!
# Unbundled subg... |
ee27c2e8eacc1b350c1fbf34a50150ab95b73323 | 77c5b91fae1b966ddd1db969ba37b6f0e4901e88 | /src/field_theory/minpoly.lean | 6bc110426a036916a99332288c192dd521743a71 | [
"Apache-2.0"
] | permissive | dexmagic/mathlib | ff48eefc56e2412429b31d4fddd41a976eb287ce | 7a5d15a955a92a90e1d398b2281916b9c41270b2 | refs/heads/master | 1,693,481,322,046 | 1,633,360,193,000 | 1,633,360,193,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 17,496 | lean | /-
Copyright (c) 2019 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Johan Commelin
-/
import data.polynomial.field_division
import ring_theory.integral_closure
import ring_theory.polynomial.gauss_lemma
/-!
# Minimal polynomials
This file ... |
ba68fcc92a3ee53f1408472e536b3cee43b2844c | ae1e94c332e17c7dc7051ce976d5a9eebe7ab8a5 | /src/Lean/PrettyPrinter/Parenthesizer.lean | 35c361b53fa97bc439d7c95adf07c65df42ca06e | [
"Apache-2.0"
] | permissive | dupuisf/lean4 | d082d13b01243e1de29ae680eefb476961221eef | 6a39c65bd28eb0e28c3870188f348c8914502718 | refs/heads/master | 1,676,948,755,391 | 1,610,665,114,000 | 1,610,665,114,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 29,199 | lean | /-
Copyright (c) 2020 Sebastian Ullrich. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sebastian Ullrich
-/
/-!
The parenthesizer inserts parentheses into a `Syntax` object where syntactically necessary, usually as an intermediary
step between the delaborator and the... |
105f3d716d8107bdeb6c0b534e724600cca712ac | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/category_theory/limits/shapes/strong_epi.lean | ce67158f4b03eafdf45a1dcd25690e006c749be4 | [
"Apache-2.0"
] | permissive | alreadydone/mathlib | dc0be621c6c8208c581f5170a8216c5ba6721927 | c982179ec21091d3e102d8a5d9f5fe06c8fafb73 | refs/heads/master | 1,685,523,275,196 | 1,670,184,141,000 | 1,670,184,141,000 | 287,574,545 | 0 | 0 | Apache-2.0 | 1,670,290,714,000 | 1,597,421,623,000 | Lean | UTF-8 | Lean | false | false | 7,322 | lean | /-
Copyright (c) 2020 Markus Himmel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Markus Himmel
-/
import category_theory.balanced
import category_theory.lifting_properties.basic
/-!
# Strong epimorphisms
In this file, we define strong epimorphisms. A strong epimor... |
47c3aaca0e915f69a4dbc88d29c97758224ba809 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/hott/457.hlean | 63057da1291fb71817cc985155ee7f0ab20f496e | [
"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 | 173 | hlean | import algebra.group
open eq algebra
definition foo {A : Type} (a b c : A) (H₁ : a = c) (H₂ : c = b) : a = b :=
begin
apply concat,
apply H₁,
apply H₂,
end
|
1cc4a69f5ebd39aeb64f4ab5acd7aece3126564e | f5f7e6fae601a5fe3cac7cc3ed353ed781d62419 | /src/data/set/enumerate.lean | 1b0ed2ebec481262741decfb046236640e855219 | [
"Apache-2.0"
] | permissive | EdAyers/mathlib | 9ecfb2f14bd6caad748b64c9c131befbff0fb4e0 | ca5d4c1f16f9c451cf7170b10105d0051db79e1b | refs/heads/master | 1,626,189,395,845 | 1,555,284,396,000 | 1,555,284,396,000 | 144,004,030 | 0 | 0 | Apache-2.0 | 1,533,727,664,000 | 1,533,727,663,000 | null | UTF-8 | Lean | false | false | 2,433 | 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.equiv.encodable data.set.finite data.set.lattice logic.function
noncomputable theory
open function s... |
6b55e80f441e025e4ca67b04cc648cd75173f2e3 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/category_theory/subobject/types.lean | a36e60ce02444abe177f246030dca2bba7d9d241 | [
"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 | 2,250 | lean | /-
Copyright (c) 2021 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import category_theory.subobject.well_powered
import category_theory.types
/-!
# `Type u` is well-powered
By building a categorical equivalence `mono_over α ≌ set α... |
bd9f3b708339d5d681824e42b4a0be7daebae9d3 | 302c785c90d40ad3d6be43d33bc6a558354cc2cf | /src/algebra/star/algebra.lean | 093109e07dfd31946fb27cc78b33f35699aecc30 | [
"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 | 1,099 | lean | /-
Copyright (c) 2020 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import algebra.algebra.basic
import algebra.star.basic
/-!
# Star algebras
Introduces the notion of a star algebra over a star ring.
-/
universes u v
/--
A star a... |
e63dcfc8ec84137ad9b4c4d04c6e780a1c52137a | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/measure_theory/measure/measure_space.lean | 1a18a59f2aa8ddfb95c75b2b6b9db719064df270 | [
"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 | 150,929 | 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 measure_theory.measure.null_measurable
import measure_theory.measurable_space
/-!
# Measure spaces
The definition of a measure and a measure ... |
19a0efd13a6ddf52d0e0d6a78b75d1c1cc8559db | b7f22e51856f4989b970961f794f1c435f9b8f78 | /hott/algebra/category/groupoid.hlean | e7b0a7421dbd2010b237a36739ade56751ed1f38 | [
"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 | 2,841 | hlean | /-
Copyright (c) 2014 Jakob von Raumer. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jakob von Raumer, Floris van Doorn
Ported from Coq HoTT
-/
import .iso algebra.bundled
open eq is_trunc iso category algebra nat unit
namespace category
structure groupoid [cl... |
6cbe94114a1781f9993ca8abd02bb1d467b039d3 | 9028d228ac200bbefe3a711342514dd4e4458bff | /src/topology/dense_embedding.lean | 2ab71a8481e9306ff5455d7e84ab7d7d8958750d | [
"Apache-2.0"
] | permissive | mcncm/mathlib | 8d25099344d9d2bee62822cb9ed43aa3e09fa05e | fde3d78cadeec5ef827b16ae55664ef115e66f57 | refs/heads/master | 1,672,743,316,277 | 1,602,618,514,000 | 1,602,618,514,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 12,690 | lean | /-
Copyright (c) 2019 Reid Barton. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro, Patrick Massot
-/
import topology.separation
import topology.bases
/-!
# Dense embeddings
This file defines three properties of functions:
* `dense_rang... |
f04d69cf3ba740abf472c434460453cad1f57737 | f083c4ed5d443659f3ed9b43b1ca5bb037ddeb58 | /group_theory/perm.lean | 9ecbe315ca785d03cbdf9abae1139eda9f402342 | [
"Apache-2.0"
] | permissive | semorrison/mathlib | 1be6f11086e0d24180fec4b9696d3ec58b439d10 | 20b4143976dad48e664c4847b75a85237dca0a89 | refs/heads/master | 1,583,799,212,170 | 1,535,634,130,000 | 1,535,730,505,000 | 129,076,205 | 0 | 0 | Apache-2.0 | 1,551,697,998,000 | 1,523,442,265,000 | Lean | UTF-8 | Lean | false | false | 13,566 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes
-/
import data.fintype
universes u v
open equiv function finset fintype
variables {α : Type u} {β : Type v} [decidable_eq α]
namespace equiv.perm
def is_swap (f : perm α)... |
b3b65c48d96c627013827d9f152b23312e7bf74c | 5fbbd711f9bfc21ee168f46a4be146603ece8835 | /lean/natural_number_game/multiplication/7.lean | ee88f23e3f77d289afd7a52c0e1a46f725ce6bc2 | [
"LicenseRef-scancode-warranty-disclaimer"
] | no_license | goedel-gang/maths | 22596f71e3fde9c088e59931f128a3b5efb73a2c | a20a6f6a8ce800427afd595c598a5ad43da1408d | refs/heads/master | 1,623,055,941,960 | 1,621,599,441,000 | 1,621,599,441,000 | 169,335,840 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 166 | lean | lemma add_mul (a b t : mynat) : (a + b) * t = a * t + b * t :=
induction t with n hn,
repeat {rw mul_zero},
simp,
repeat {rw mul_succ},
rw hn,
simp,
end
|
7e20c5fcd62ab3ea96752dbcbeb20631fee04014 | 1fbca480c1574e809ae95a3eda58188ff42a5e41 | /src/util/data/generic.lean | 7975fdded3831d632ce8334b1967d44281662e71 | [] | no_license | unitb/lean-lib | 560eea0acf02b1fd4bcaac9986d3d7f1a4290e7e | 439b80e606b4ebe4909a08b1d77f4f5c0ee3dee9 | refs/heads/master | 1,610,706,025,400 | 1,570,144,245,000 | 1,570,144,245,000 | 99,579,229 | 5 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 6,864 | lean |
import data.equiv.basic
import data.fintype
import data.equiv.encodable
import data.equiv.denumerable
-- import util.control.monad
-- import util.control.applicative
-- import util.meta.tactic
universes u
class generic (α : Type u) :=
(rep : Type u)
(to_rep : α → rep)
(of_rep : rep → α)
(correspondence : α ≃... |
f5a22a5685a50aded0011cbc8bfe36bdd0ab74d1 | 1abd1ed12aa68b375cdef28959f39531c6e95b84 | /src/group_theory/specific_groups/dihedral.lean | eae6a786b3c2237a94cd4bb29c44fc06051387b3 | [
"Apache-2.0"
] | permissive | jumpy4/mathlib | d3829e75173012833e9f15ac16e481e17596de0f | af36f1a35f279f0e5b3c2a77647c6bf2cfd51a13 | refs/heads/master | 1,693,508,842,818 | 1,636,203,271,000 | 1,636,203,271,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 5,532 | lean | /-
Copyright (c) 2020 Shing Tak Lam. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Shing Tak Lam
-/
import data.fintype.card
import data.zmod.basic
import group_theory.order_of_element
/-!
# Dihedral Groups
We define the dihedral groups `dihedral_group n`, with elem... |
43682e1184fb2075c08852a59cbffecf9d92d5ac | f1a12d4db0f46eee317d703e3336d33950a2fe7e | /lia/common/atom.lean | 129e6f245a2ab294590d2d932019283319b07826 | [
"Apache-2.0"
] | permissive | avigad/qelim | bce89b79c717b7649860d41a41a37e37c982624f | b7d22864f1f0a2d21adad0f4fb3fc7ba665f8e60 | refs/heads/master | 1,584,548,938,232 | 1,526,773,708,000 | 1,526,773,708,000 | 134,967,693 | 2 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 6,689 | lean | import ...common.int ...common.atom ...common.list
namespace lia
open list
variables {α β : Type}
inductive atom : Type
| le : int → list int → atom
| dvd : int → int → list int → atom
| ndvd : int → int → list int → atom
-- | (atom.le i ks) := sorry
-- | (atom.dvd d i ks) := sorry
-- | (atom.ndvd d i ks) := so... |
188f3d7ccc126d58ec61283408ee5a721f80f814 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/topology/metric_space/metrizable.lean | 701cbff01eb5bf43f3759aa10d0ca834df9fccd9 | [
"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 | 7,055 | lean | /-
Copyright (c) 2021 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov
-/
import topology.urysohns_lemma
import topology.continuous_function.bounded
/-!
# Metrizability of a normal topological space with second countable topology
In thi... |
26c036bee289ce2ca94d28bd202e344f5435a546 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/elab12.lean | c7ed5d73213b44f56f379cd27c8c2aebe217399b | [
"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 | 403 | lean | #check (assume a : nat, have H : 0, from rfl a,
(H a a) : ∀ a : nat, a = a)
#check (assume a : nat, have H : a = a, from rfl a,
(H a a) : ∀ a : nat, a = a)
#check (assume a : nat, have H : a = a, from a + 0,
(H a a) : ∀ a : nat, a = a)
#check (assume a : nat, have H : a = a, from rfl,
(H a) : ∀ a : nat, a = a)
... |
1758bf3b3e241f47e5fc78c0927b79d861b25373 | 80cc5bf14c8ea85ff340d1d747a127dcadeb966f | /src/ring_theory/algebraic.lean | 00a61488f770993ab337975daf36506aca866358 | [
"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 | 4,684 | 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 linear_algebra.finite_dimensional
import ring_theory.integral_closure
import data.polynomial.integral_normalization
/-!
# Algebraic elements and algebraic ex... |
2bf1f3da304cdd7bda7a5ba4a8d866f10880969a | 4727251e0cd73359b15b664c3170e5d754078599 | /src/algebra/group/default.lean | 8f8bbde5143622080ccbe680c80240d5ae9d4db3 | [
"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 | 427 | 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, Michael Howes
-/
import algebra.group.conj
import algebra.group.type_tags
import algebra.group.with_one
import algebra.hom.units
/-!
# Various multipl... |
ff9d49a3c1b47ada98f81e90415d5395386398c5 | ea5678cc400c34ff95b661fa26d15024e27ea8cd | /fast_refl.lean | 5bf2f5da2513480e940998b8a8209d42e01e23e5 | [] | no_license | ChrisHughes24/leanstuff | dca0b5349c3ed893e8792ffbd98cbcadaff20411 | 9efa85f72efaccd1d540385952a6acc18fce8687 | refs/heads/master | 1,654,883,241,759 | 1,652,873,885,000 | 1,652,873,885,000 | 134,599,537 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,075 | lean | import data.nat.basic tactic data.nat.parity
open nat expr tactic
universes u v
lemma let_congr {α : Type u} {β : Type v} (assignment₁ assignment₂ : α) (body : β)
(h : assignment₁ = assignment₂) : let a := assignment₁ in body = let a := assignment₂ in body :=
h ▸ rfl
meta def reduce : expr → tactic (expr × expr)
|... |
45f7fcdc05cfe4f8b7545a17c961e1f1bb299ce3 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/topology/algebra/uniform_convergence.lean | 796468b322c7f857dff14a000b19cb27639818fb | [
"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 | 10,664 | lean | /-
Copyright (c) 2022 Anatole Dedecker. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Anatole Dedecker
-/
import topology.uniform_space.uniform_convergence_topology
import analysis.locally_convex.bounded
import topology.algebra.filter_basis
/-!
# Algebraic facts abou... |
c98aa1eb2de62b458a59559c1764fb5ce29f742f | 4727251e0cd73359b15b664c3170e5d754078599 | /src/logic/nonempty.lean | 178635f3b80807b0e42f4de0122619ef88a2d809 | [
"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 | 5,612 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
-/
import logic.basic
/-!
# Nonempty types
This file proves a few extra facts about `nonempty`, which is defined in core Lean.
## Main declarations
* `nonempty.some`... |
8995771e454aa02b724f3646e6de7d287b7cf79c | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/analysis/normed_space/operator_norm.lean | df5312f1cd36d4f6eb77668045df130b05c406f1 | [] | 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 | 51,272 | lean | /-
Copyright (c) 2019 Jan-David Salchow. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jan-David Salchow, Sébastien Gouëzel, Jean Lo
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.linear_algebra.finite_dimensional
import Mathlib.analysis... |
94077a1033134641da1111c974b781eb0004e9c5 | 367134ba5a65885e863bdc4507601606690974c1 | /src/tactic/lift.lean | c3f513784836b302f05fb913d7b2806e5ea4064f | [
"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 | 10,012 | 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 tactic.rcases
/-!
# lift tactic
This file defines the `lift` tactic, allowing the user to lift elements from one type to another
under a specified conditi... |
a6ea3bf6077e1cafe358b265d2f59fef31800223 | 6e36ebd5594a0d512dea8bc6ffe78c71b5b5032d | /src/mywork/Homework/fake_HW.lean | 6acca548c9c5fa6b5ac74438636a1eaf4cb6eb59 | [] | no_license | wrw2ztk/cs2120f21 | cdc4b1b4043c8ae8f3c8c3c0e91cdacb2cfddb16 | f55df4c723d3ce989908679f5653e4be669334ae | refs/heads/main | 1,691,764,473,342 | 1,633,707,809,000 | 1,633,707,809,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,195 | lean | --1
example : 0 ≠ 1 :=
begin
show ¬ (0=1),
assume p,
contradiction,
end
--2
example : 0 ≠ 0 → 2 = 3:=
begin
assume h,
have g : (0 = 0) := eq.refl 0,
have f : false := h g,
cases f,
--or can just assume h then exact false.elim (h (eq.refl 0))
end
--3
example : ∀ (P : Prop), P → ¬¬P :=
begin
assume... |
790486900a868b88c26a507223258e39444e31e3 | 94e33a31faa76775069b071adea97e86e218a8ee | /src/group_theory/torsion.lean | cdbda5bc760591786c4da59b21a0cd99c014a65a | [
"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 | 14,847 | lean | /-
Copyright (c) 2022 Julian Berman. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Julian Berman
-/
import algebra.is_prime_pow
import group_theory.exponent
import group_theory.order_of_element
import group_theory.p_group
import group_theory.quotient_group
import gro... |
ec893ae32fef0daccccc9e84ea7fa3cdfe4906d7 | f3849be5d845a1cb97680f0bbbe03b85518312f0 | /tests/lean/interactive/rb_map_ts.lean | a5b9fca9f1df6b629d91571584198b3b59086a82 | [
"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 | 2,156 | lean | meta def mytac :=
state_t (name_map nat) tactic
meta instance : monad mytac :=
state_t.monad _ _
meta instance : monad.has_monad_lift tactic mytac :=
monad.monad_transformer_lift (state_t (name_map nat)) tactic
meta instance (α : Type) : has_coe (tactic α) (mytac α) :=
⟨monad.monad_lift⟩
namespace mytac
meta def s... |
14f04576c9274e111f37ea422afc3e67fa4f0bd7 | 95dcf8dea2baf2b4b0a60d438f27c35ae3dd3990 | /src/order/basic.lean | 4c3ee3393fa1bd80743c1fb90c2603ec8587e9fc | [
"Apache-2.0"
] | permissive | uniformity1/mathlib | 829341bad9dfa6d6be9adaacb8086a8a492e85a4 | dd0e9bd8f2e5ec267f68e72336f6973311909105 | refs/heads/master | 1,588,592,015,670 | 1,554,219,842,000 | 1,554,219,842,000 | 179,110,702 | 0 | 0 | Apache-2.0 | 1,554,220,076,000 | 1,554,220,076,000 | null | UTF-8 | Lean | false | false | 22,347 | lean | /-
Copyright (c) 2014 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Mario Carneiro
-/
import tactic.interactive logic.basic data.sum data.set.basic algebra.order
open function
/- TODO: automatic construction of dual definitions / theorem... |
d40bc9785a80f1ed52008369d516ef4b63ce0cdc | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/algebra/quaternion.lean | 782f434ee374baf48c29e507c7caa2f79717ba3e | [
"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 | 22,404 | lean | /-
Copyright (c) 2020 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov
-/
import tactic.ring_exp
import algebra.algebra.basic
import algebra.opposites
import data.equiv.ring
/-!
# Quaternions
In this file we define quaternions `ℍ[R]` ov... |
5ba0e8179c643931e07182b96c53af8a5c3ba656 | aa2345b30d710f7e75f13157a35845ee6d48c017 | /data/fintype.lean | a89e2a100f7ab7aec02052c04a8cfeaeeb841a9f | [
"Apache-2.0"
] | permissive | CohenCyril/mathlib | 5241b20a3fd0ac0133e48e618a5fb7761ca7dcbe | a12d5a192f5923016752f638d19fc1a51610f163 | refs/heads/master | 1,586,031,957,957 | 1,541,432,824,000 | 1,541,432,824,000 | 156,246,337 | 0 | 0 | Apache-2.0 | 1,541,434,514,000 | 1,541,434,513,000 | null | UTF-8 | Lean | false | false | 26,875 | 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... |
db9f0a254e50f0f8b251f3d7e34baaecea4607de | 432d948a4d3d242fdfb44b81c9e1b1baacd58617 | /src/algebra/algebra/tower.lean | 0a6aaa240a1fff00f30a417422ee0b47d83fc6ed | [
"Apache-2.0"
] | permissive | JLimperg/aesop3 | 306cc6570c556568897ed2e508c8869667252e8a | a4a116f650cc7403428e72bd2e2c4cda300fe03f | refs/heads/master | 1,682,884,916,368 | 1,620,320,033,000 | 1,620,320,033,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 11,797 | 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.algebra.subalgebra
/-!
# Towers of algebras
In this file we prove basic facts about towers of algebra.
An algebra tower A/S/R is expressed by having instance... |
4d14346a4bef3ff2fc7b0250c5bdb2946c4d1847 | 271e26e338b0c14544a889c31c30b39c989f2e0f | /src/Init/Lean/Parser/Module.lean | 3a6c8d0f922bf7afe2373887e66973cd62781a50 | [
"Apache-2.0"
] | permissive | dgorokho/lean4 | 805f99b0b60c545b64ac34ab8237a8504f89d7d4 | e949a052bad59b1c7b54a82d24d516a656487d8a | refs/heads/master | 1,607,061,363,851 | 1,578,006,086,000 | 1,578,006,086,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,706 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura, Sebastian Ullrich
-/
prelude
import Init.Lean.Util.Message
import Init.Lean.Parser.Command
namespace Lean
namespace Parser
namespace Module
def «prelude» :... |
7d966f9f49082bfcb7a2194888017e8b0278c092 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/linear_algebra/coevaluation.lean | eb9f4e9f922820b6d6ef70d6534e1b848079bffe | [
"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 | 4,242 | lean | /-
Copyright (c) 2021 Jakob von Raumer. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jakob von Raumer
-/
import linear_algebra.dual
import linear_algebra.finsupp_vector_space
import linear_algebra.finite_dimensional
import linear_algebra.contraction
import linear_alg... |
7505987fdd8515f2936111a73054811416115174 | 94e33a31faa76775069b071adea97e86e218a8ee | /src/data/matrix/basic.lean | 92dccae4f1f002ff3bfb7883f62edc450dd4141a | [
"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 | 77,539 | lean | /-
Copyright (c) 2018 Ellen Arlt. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Ellen Arlt, Blair Shi, Sean Leather, Mario Carneiro, Johan Commelin, Lu-Ming Zhang
-/
import algebra.algebra.basic
import algebra.big_operators.pi
import algebra.big_operators.ring
import ... |
770ffe75162cc1085bf46d747734c9de9ec4e807 | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /tests/lean/run/computedFields.lean | 735d60cdbf5976c67456f2f0c3151c3e36b502ff | [
"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 | 1,159 | lean | inductive Exp
| hole
| var (i : UInt32)
| app (a b : Exp)
with
/-- Computes the hash -/ @[simp, computedField] protected hash : Exp → UInt64
| .var i => Hashable.hash i
| .app a b => mixHash a.hash b.hash
| .hole => 32
def dagLikeTerm : Nat → Exp
| 0 => .app (.var 42) .hole
| n+1 => .app (dagLi... |
4da4a2a0e1bf7212f71a80ddc83f7c5c987b40d1 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/control/lawful_fix.lean | 72cb7dab4d130404c05a6da69f1675008279d1f6 | [
"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 | 7,819 | lean | /-
Copyright (c) 2020 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon
-/
import 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` ... |
8f9f45de1132a99dd4c2555e83c2248c77ad50c4 | ad0c7d243dc1bd563419e2767ed42fb323d7beea | /algebra/pi_instances.lean | a98c1acd08bbb65d3f8b9c48d3850d9014acaeb5 | [
"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 | 11,644 | lean | /-
Copyright (c) 2018 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon, Patrick Massot
Pi instances for algebraic structures.
-/
import algebra.module order.basic tactic.pi_instances algebra.group
namespace pi
universes u v
variable {I : Type ... |
6b8fa98934c10068e47b6751bec548356afb14d3 | f57749ca63d6416f807b770f67559503fdb21001 | /hott/hit/interval.hlean | 67447ad6d90940fbcbea96dc3abd604481e9d386 | [
"Apache-2.0"
] | permissive | aliassaf/lean | bd54e85bed07b1ff6f01396551867b2677cbc6ac | f9b069b6a50756588b309b3d716c447004203152 | refs/heads/master | 1,610,982,152,948 | 1,438,916,029,000 | 1,438,916,029,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,238 | hlean | /-
Copyright (c) 2015 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn
Declaration of the interval
-/
import .susp types.eq types.prod types.cubical.square
open eq susp unit equiv equiv.ops is_trunc nat prod
definition interval : Typ... |
abe14ba97f917afab6a04e92e0815b3497b33869 | 206422fb9edabf63def0ed2aa3f489150fb09ccb | /src/topology/algebra/module.lean | 9872a3fa3595ca9c0623e375300eac3fb8815bfd | [
"Apache-2.0"
] | permissive | hamdysalah1/mathlib | b915f86b2503feeae268de369f1b16932321f097 | 95454452f6b3569bf967d35aab8d852b1ddf8017 | refs/heads/master | 1,677,154,116,545 | 1,611,797,994,000 | 1,611,797,994,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 51,201 | lean | /-
Copyright (c) 2019 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jan-David Salchow, Sébastien Gouëzel, Jean Lo, Yury Kudryashov
-/
import topology.algebra.ring
import topology.uniform_space.uniform_embedding
import algebra.algebra.basic
import li... |
783eaea9cd92a33426cde3eda06c264f6e1f91bf | ce6917c5bacabee346655160b74a307b4a5ab620 | /src/ch3/ex0306.lean | e98f9bbaaeb5b927984d8998f1ac5c48e7eb08f5 | [] | 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 | 82 | lean | variables p q : Prop
variables (hp : p) (hq : q)
example : p ∧ q := (|hp, hq|)
|
3cb4c6bc95285639fb9b664d878c6ce5109dfd27 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/computability/halting.lean | 39f8f73569e8e2df946f52cf733871c0e449db76 | [
"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 | 15,207 | 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 computability.partrec_code
/-!
# Computability theory and the halting problem
A universal partial recursive function, Rice's theorem, and the halting problem... |
510ed5b01ce513481ee3018b60133d813c34db57 | 4fa118f6209450d4e8d058790e2967337811b2b5 | /src/for_mathlib/nonarchimedean/adic_topology.lean | cb1f9c02098ba21e75629703f1018ccf226506d0 | [
"Apache-2.0"
] | permissive | leanprover-community/lean-perfectoid-spaces | 16ab697a220ed3669bf76311daa8c466382207f7 | 95a6520ce578b30a80b4c36e36ab2d559a842690 | refs/heads/master | 1,639,557,829,139 | 1,638,797,866,000 | 1,638,797,866,000 | 135,769,296 | 96 | 10 | Apache-2.0 | 1,638,797,866,000 | 1,527,892,754,000 | Lean | UTF-8 | Lean | false | false | 4,321 | lean | import for_mathlib.nonarchimedean.basic
import for_mathlib.nonarchimedean.is_subgroups_basis
local prefix 𝓝:100 := nhds
variables {R : Type*} [comm_ring R]
open set lattice topological_add_group submodule
namespace ideal
-- Note: making the following an instance is useless, instance resolution would never guess I... |
138a8fd2f65afc673921edf433c78217a539eaf4 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/subobject_from_source.lean | ee72db3612869b28e3eeb7c9e16abc2c17144ca3 | [
"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 | 134 | lean | structure foo :=
(a b : ℕ := 2)
structure bar extends foo :=
(c : ℕ)
example (b : bar) : b.to_foo = {c := 2, ..b}.to_foo := rfl
|
2bdfa9c58858184f32fe84e747e4f4ff0cdcda8b | 618003631150032a5676f229d13a079ac875ff77 | /src/tactic/interactive.lean | 6d65d954c08ed7e8ff07018b4323a6a93b541f35 | [
"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 | 42,175 | lean |
/-
Copyright (c) 2017 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Simon Hudon, Sebastien Gouezel, Scott Morrison
-/
import tactic.lint
open lean
open lean.parser
local postfix `?`:9001 := optional
local postfix *:9001 := many
name... |
90ec4cf59d4749415b5b9356824b24cebc52c27f | 4b846d8dabdc64e7ea03552bad8f7fa74763fc67 | /library/init/meta/constructor_tactic.lean | b290024f6f711dd4620c2d033a305797ec5c727a | [
"Apache-2.0"
] | permissive | pacchiano/lean | 9324b33f3ac3b5c5647285160f9f6ea8d0d767dc | fdadada3a970377a6df8afcd629a6f2eab6e84e8 | refs/heads/master | 1,611,357,380,399 | 1,489,870,101,000 | 1,489,870,101,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,473 | 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.function
namespace tactic
meta def get_constructors_for (e : expr) : tactic (list name) :=
do env ← get_env,
I ←... |
50fd15d66ffca0789ee73ce2d19b0fbcd9acc985 | 2eab05920d6eeb06665e1a6df77b3157354316ad | /scripts/lint_mathlib.lean | 4cd2c54a310d918609a97369e7c26d51dfdff3e8 | [
"Apache-2.0"
] | permissive | ayush1801/mathlib | 78949b9f789f488148142221606bf15c02b960d2 | ce164e28f262acbb3de6281b3b03660a9f744e3c | refs/heads/master | 1,692,886,907,941 | 1,635,270,866,000 | 1,635,270,866,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,247 | lean | /-
Copyright (c) 2020 Robert Y. Lewis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Robert Y. Lewis, Gabriel Ebner
-/
import tactic.lint
import system.io -- these are required
import all -- then import everything, to parse the library for failing linters
/-!
# l... |
6274ff3f1f81dc944431904db5b040635024cbd9 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/run/alias2.lean | 203571a948e88997cd3252f9e5047945e06aa2dd | [
"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 | 349 | lean | import logic
namespace N1
constant num : Type.{1}
constant foo : num → num → num
end N1
namespace N2
constant val : Type.{1}
constant foo : val → val → val
end N2
open N1
open N2
constants a b : num
constant f : num → val
attribute f [coercion]
definition aux2 := foo a b
check aux2
theorem T3 : aux2 = N1.fo... |
4c10690d73b9c853708ca4c7fb435d30eac64b86 | 54d7e71c3616d331b2ec3845d31deb08f3ff1dea | /tests/lean/run/1089.lean | 4ed9d2c6dcd7079cf98f17de2ec841db01d030f4 | [
"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 | 327 | lean | import system.io
inductive token
| eof : token
| plus : token
| var : string -> token
open token
open option
def to_token : string → option token
| [] := none
| (c :: cs) :=
let t : option token := match c with
| #"x" := some (var "x")
| #"y" := some (var "y")
| #"+" := some plus
| _ := none
end ... |
7c83bc7c82116d7047e6488bb053723d49018ab3 | 9c1ad797ec8a5eddb37d34806c543602d9a6bf70 | /tactics.lean | a74f98ec20ce1140f006fe2f12cd3173ff140416 | [] | no_license | timjb/lean-category-theory | 816eefc3a0582c22c05f4ee1c57ed04e57c0982f | 12916cce261d08bb8740bc85e0175b75fb2a60f4 | refs/heads/master | 1,611,078,926,765 | 1,492,080,000,000 | 1,492,080,000,000 | 88,348,246 | 0 | 0 | null | 1,492,262,499,000 | 1,492,262,498,000 | null | UTF-8 | Lean | false | false | 11,892 | 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
open tactic
def pointwise_attribute : user_attribute := {
name := `pointwise,
descr := "A lemma that proves things are equal using the fact t... |
e282b5f4fa0ebf7fbfee89dba4b1f2b1a4599617 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/derivingRpcEncoding.lean | e2383b903d50f2e0d6e55ca32c54aae9b17d9fb8 | [
"Apache-2.0",
"LLVM-exception",
"NCSA",
"LGPL-3.0-only",
"LicenseRef-scancode-inner-net-2.0",
"BSD-3-Clause",
"LGPL-2.0-or-later",
"Spencer-94",
"LGPL-2.1-or-later",
"HPND",
"LicenseRef-scancode-pcre",
"ISC",
"LGPL-2.1-only",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | leanprover/lean4 | 4bdf9790294964627eb9be79f5e8f6157780b4cc | f1f9dc0f2f531af3312398999d8b8303fa5f096b | refs/heads/master | 1,693,360,665,786 | 1,693,350,868,000 | 1,693,350,868,000 | 129,571,436 | 2,827 | 311 | Apache-2.0 | 1,694,716,156,000 | 1,523,760,560,000 | Lean | UTF-8 | Lean | false | false | 2,480 | lean | import Lean.Server.Rpc.Basic
open Lean Server
abbrev M := StateM RpcObjectStore
def M.run (x : ExceptT String M α) : Except String α :=
x.run' {}
def test (α : Type) [RpcEncodable α] (a : α) := M.run do
let json ← rpcEncode a
let _a : α ← ofExcept (rpcDecode json (← get))
return json
structure FooRef where... |
dd83f947eb8df2ed4224e6fc507c5547b1491128 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/algebra/smul_regular.lean | 8ac39cdb0ff9dc55fed4799940dc5d596cf20a7e | [
"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 | 6,433 | lean | /-
Copyright (c) 2021 Damiano Testa. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Damiano Testa
-/
import algebra.smul_with_zero
import algebra.regular
/-!
# Action of regular elements on a module
We introduce `M`-regular elements, in the context of an `R`-module `M... |
422287700a5f2439966fa086371649e843a670a7 | 8e6cad62ec62c6c348e5faaa3c3f2079012bdd69 | /src/data/nat/digits.lean | 956b268ddcdc54a93c3dcf2d6e7946f7193ea920 | [
"Apache-2.0"
] | permissive | benjamindavidson/mathlib | 8cc81c865aa8e7cf4462245f58d35ae9a56b150d | fad44b9f670670d87c8e25ff9cdf63af87ad731e | refs/heads/master | 1,679,545,578,362 | 1,615,343,014,000 | 1,615,343,014,000 | 312,926,983 | 0 | 0 | Apache-2.0 | 1,615,360,301,000 | 1,605,399,418,000 | Lean | UTF-8 | Lean | false | false | 20,895 | lean | /-
Copyright (c) 2020 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison, Shing Tak Lam, Mario Carneiro
-/
import data.int.modeq
import tactic.interval_cases
import tactic.linarith
/-!
# Digits of a natural number
This provides a basic API ... |
d188674e6ac91bac92f110874f805d96a1125748 | 55c7fc2bf55d496ace18cd6f3376e12bb14c8cc5 | /src/analysis/calculus/times_cont_diff.lean | e075299bf33731b6a4006a32339b0209ea1d703d | [
"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 | 99,706 | lean | /-
Copyright (c) 2019 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import analysis.calculus.mean_value
/-!
# Higher differentiability
A function is `C^1` on a domain if it is differentiable there, and its derivative is contin... |
c8992d46289f0eff31fb2581e4b9bb436816b9e6 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/topology/continuous_function/units.lean | bfa4927cff6289ec12d3a8472cfc1178c09717e3 | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 3,765 | lean | /-
Copyright (c) 2022 Jireh Loreaux. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jireh Loreaux
-/
import analysis.normed_space.units
import algebra.algebra.spectrum
import topology.continuous_function.algebra
/-!
# Units of continuous functions
> THIS FILE IS SYNC... |
5726ee440299a242418c0665fc033d50fa3f8b4f | 491068d2ad28831e7dade8d6dff871c3e49d9431 | /tests/lean/run/class5.lean | b84395a0d51968910b1762f215c24df9c9cd61f8 | [
"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 | 1,363 | lean | import logic
namespace experiment
namespace algebra
inductive mul_struct [class] (A : Type) : Type :=
mk : (A → A → A) → mul_struct A
definition mul {A : Type} [s : mul_struct A] (a b : A)
:= mul_struct.rec (λ f, f) s a b
infixl `*` := mul
end algebra
open algebra
namespace nat
inductive nat : Type :=
... |
f724a6cb2a8dc5340071d06905dfa5f71436a710 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/category_theory/limits/shapes/reflexive.lean | 96a14fb7045adcc4b95f986dd2b1e9a4ea3cc23d | [
"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 | 6,258 | lean | /-
Copyright (c) 2020 Bhavik Mehta. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Bhavik Mehta
-/
import category_theory.limits.shapes.equalizers
import category_theory.limits.shapes.kernel_pair
/-!
# Reflexive coequalizers
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.... |
375e0fe9d28c0c367afb0eebcdbefb91faa0100c | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/Lean/Compiler/IR/FreeVars.lean | 1d14df4b1796892451fa40215ad0799e3b37addc | [
"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 | 9,489 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Compiler.IR.Basic
namespace Lean.IR
namespace MaxIndex
/-! Compute the maximum index `M` used in a declaration.
We `M` to initialize the fr... |
68bf9fa6549bd1205e80b4b000bf5a66958ac07a | 94e33a31faa76775069b071adea97e86e218a8ee | /src/topology/fiber_bundle.lean | baae1192a3ec64d7a490b8a1251a82097f43c2e5 | [
"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 | 63,718 | lean | /-
Copyright (c) 2019 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import data.bundle
import topology.algebra.order.basic
import topology.local_homeomorph
/-!
# Fiber bundles
A topological fiber bundle with fiber `F` over a b... |
ddaaa4027efd6939ef2b7ccdbd5dc6b9cc7454d2 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/tactic/pi_instances.lean | 4d31b411656daf5bc79f4b355ddbeb1889896738 | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 2,018 | lean | /-
Copyright (c) 2018 Simon Hudon All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon
-/
import order.basic
/-!
# `pi_instance`
Automation for creating instances of mathematical structures for pi types
-/
namespace tactic
open tactic.interactive
/-- Attempt... |
5dcacc00f1f6487ebbf690447af6ae304fd76425 | c777c32c8e484e195053731103c5e52af26a25d1 | /src/data/nat/prime_norm_num.lean | a5768ccb6f6ced9e5e6e8c898539adbb1006cf68 | [
"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 | 9,650 | lean | /-
Copyright (c) 2015 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura, Jeremy Avigad, Mario Carneiro
-/
import data.nat.factors
import data.nat.prime
import tactic.norm_num
/-!
# Primality prover
This file provides a `norm_num`... |
2398ddce4ed1820a63c3dda95170e117478acf3b | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/order/closure.lean | 40534a7f38784447bead15197bed5e4b769f00be | [
"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 | 17,279 | 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... |
505ffaba202a2b27c25b36cbcf9a092773d6e28f | 94e33a31faa76775069b071adea97e86e218a8ee | /src/measure_theory/measure/lebesgue.lean | bb2065e5b5fdd2f37ede96f7533a6c3c0bf9f148 | [
"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 | 24,992 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Sébastien Gouëzel, Yury Kudryashov
-/
import dynamics.ergodic.measure_preserving
import linear_algebra.determinant
import linear_algebra.matrix.diagonal
import linear_a... |
583e71ac8f35617f0da0f2f66dd3123bb54202b1 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/topology/separation_auto.lean | c2e035a9cc4f5fae8f30a5dc9596a848dfb59e14 | [] | 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 | 22,470 | 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
Separation properties of topological spaces.
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.topology.subset_properties
im... |
ff523f87b2018685fab15297afbbaa05d017cb99 | 271e26e338b0c14544a889c31c30b39c989f2e0f | /tests/lean/run/meta2.lean | 6c8b4818711c1e2a454da14d374bc417b81de031 | [
"Apache-2.0"
] | permissive | dgorokho/lean4 | 805f99b0b60c545b64ac34ab8237a8504f89d7d4 | e949a052bad59b1c7b54a82d24d516a656487d8a | refs/heads/master | 1,607,061,363,851 | 1,578,006,086,000 | 1,578,006,086,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 9,716 | lean | import Init.Lean.Meta
open Lean
open Lean.Meta
set_option trace.Meta true
set_option trace.Meta.isDefEq.step false
set_option trace.Meta.isDefEq.delta false
set_option trace.Meta.isDefEq.assign false
def print (msg : MessageData) : MetaM Unit :=
trace! `Meta.debug msg
def check (x : MetaM Bool) : MetaM Unit :=
unles... |
8b4bea72768e0d18c1decd5b9abfeaca1058152b | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/algebra/order/group/order_iso.lean | c82dca13aad5e39c7c242c4446c62077807a21b8 | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 3,220 | lean | /-
Copyright (c) 2016 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Leonardo de Moura, Mario Carneiro, Johannes Hölzl
-/
import algebra.order.group.defs
import algebra.hom.equiv.units.basic
/-!
# Inverse and multiplication as order isomo... |
531c51ce2ffa8ba01cd9ad7bca43d7ebe7fb4064 | 432d948a4d3d242fdfb44b81c9e1b1baacd58617 | /src/algebra/ordered_ring.lean | cae9681968eb52df3cd659e8912c948be0225a28 | [
"Apache-2.0"
] | permissive | JLimperg/aesop3 | 306cc6570c556568897ed2e508c8869667252e8a | a4a116f650cc7403428e72bd2e2c4cda300fe03f | refs/heads/master | 1,682,884,916,368 | 1,620,320,033,000 | 1,620,320,033,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 51,320 | lean | /-
Copyright (c) 2016 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Leonardo de Moura, Mario Carneiro
-/
import algebra.ordered_group
import algebra.invertible
import data.set.intervals.basic
set_option old_structure_cmd true
universe u... |
0391fc5c7364141420949f05d5125714a499cc08 | 93b17e1ec33b7fd9fb0d8f958cdc9f2214b131a2 | /src/sep/localization.lean | c53b6cd0721773665505f771902119c156b5cc46 | [] | no_license | intoverflow/timesink | 93f8535cd504bc128ba1b57ce1eda4efc74e5136 | c25be4a2edb866ad0a9a87ee79e209afad6ab303 | refs/heads/master | 1,620,033,920,087 | 1,524,995,105,000 | 1,524,995,105,000 | 120,576,102 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 18,661 | lean | /- Localization
-
-/
import .basic
import .ordalg
namespace Sep
universes ℓ
namespace Localization
inductive locl_step {A : Alg.{ℓ}} (S : Set A)
: Rel A A
| refl : ∀ x, locl_step x x
| join : ∀ {x y s : A.τ} (Hs : s ∈ S)
(J : A.join s x y)
, locl_step x y
def locl_step.increasing {A : Alg.{... |
db3b7b66e6951db5c2bf15f2e1ced1719f1c26be | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/algebra/regular/smul.lean | b79b53161f311977a19d3b3dea3b640ccd9b7fb4 | [
"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 | 7,515 | lean | /-
Copyright (c) 2021 Damiano Testa. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Damiano Testa
-/
import algebra.smul_with_zero
import algebra.regular.basic
/-!
# Action of regular elements on a module
We introduce `M`-regular elements, in the context of an `R`-mod... |
05b981c3de02e464231d4bc9f163214453a9ec48 | 592ee40978ac7604005a4e0d35bbc4b467389241 | /Library/generated/mathscheme-lean/QuasiGroup.lean | 09c69c5e57f47aff459678340178c900c9adfa48 | [] | no_license | ysharoda/Deriving-Definitions | 3e149e6641fae440badd35ac110a0bd705a49ad2 | dfecb27572022de3d4aa702cae8db19957523a59 | refs/heads/master | 1,679,127,857,700 | 1,615,939,007,000 | 1,615,939,007,000 | 229,785,731 | 4 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 11,573 | lean | import init.data.nat.basic
import init.data.fin.basic
import data.vector
import .Prelude
open Staged
open nat
open fin
open vector
section QuasiGroup
structure QuasiGroup (A : Type) : Type :=
(op : (A → (A → A)))
(linv : (A → (A → A)))
(leftCancel : (∀ {x y : A} , (op x (linv x y)) = y))
... |
40149b66da361dc5bf5ad0299ddb338f1adf63ef | 205f0fc16279a69ea36e9fd158e3a97b06834ce2 | /src/03_Conjunction/quiz1.lean | 3e40b620b6711516d4c18c224743c02899fa3f3e | [] | no_license | kevinsullivan/cs-dm-lean | b21d3ca1a9b2a0751ba13fcb4e7b258010a5d124 | a06a94e98be77170ca1df486c8189338b16cf6c6 | refs/heads/master | 1,585,948,743,595 | 1,544,339,346,000 | 1,544,339,346,000 | 155,570,767 | 1 | 3 | null | 1,541,540,372,000 | 1,540,995,993,000 | Lean | UTF-8 | Lean | false | false | 563 | lean | /-
Prove that from a proof of
(P ∧ Q) ∧ R you can derive a
proof of P ∧ (Q ∧ R). Note
that ∧ is right-associative.
This means that P ∧ Q ∧ R is
defined to mean P ∧ (Q ∧ R).
Note: we changed the name of
the premise/argument. It was
pfP_QR. A better name, which
we use here, is pfPQ_R.
To do this quiz, replace the
"so... |
18e92ba067995a7b1bf370db81f9da5813d15a94 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/meta_aux_defs.lean | 7427e2882202b9c6769180ef59f535dbb09cae7a | [
"Apache-2.0"
] | permissive | leanprover-community/lean | 12b87f69d92e614daea8bcc9d4de9a9ace089d0e | cce7990ea86a78bdb383e38ed7f9b5ba93c60ce0 | refs/heads/master | 1,687,508,156,644 | 1,684,951,104,000 | 1,684,951,104,000 | 169,960,991 | 457 | 107 | Apache-2.0 | 1,686,744,372,000 | 1,549,790,268,000 | C++ | UTF-8 | Lean | false | false | 1,296 | lean | def f : nat → nat
| 0 := 1
| (n+1) := f n + 10
#print f._main._meta_aux
#print nat.add._main._meta_aux
-- set_option trace.debug.eqn_compiler.wf_rec true
mutual def even, odd
with even : nat → bool
| 0 := tt
| (n+1) := odd n
with odd : nat → bool
| 0 := ff
| (n+1) := even n
#print even._main
#print eve... |
46f8b8632a93defc2b458c4be0dd84ec069f2d52 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/order/prop_instances.lean | bce4033a2e8e6137c233b5c0e500e1f988b76f04 | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 2,835 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
-/
import order.disjoint
import order.with_bot
/-!
# The order on `Prop`
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file require a corresponding... |
fbb0b872046ba9d7fd00ef7e45148231271d1fed | c6da0300d417abe3464e750ab51a63502b93acfa | /test/auto_test.lean | f22846f55083a925cbb81f9209173ce21b3fc995 | [
"Apache-2.0"
] | permissive | uwplse/struct_tact | 55bc1d260fac498cff83a4d71461041f8ed74bd6 | 22188ea2e97705d1185f75dde24e6bab88054ab0 | refs/heads/master | 1,630,670,592,496 | 1,515,453,299,000 | 1,515,453,299,000 | 104,603,771 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 144 | lean | import ..src.struct_tact
@[auto] inductive rel : nat → Type
| a : rel 0
| b : rel 1
| c : rel 2
lemma test_1 : rel 2 :=
begin
auto,
end
|
e4bc2021d1eb2a9ebc40ea0f0790a4d009980c21 | 159fed64bfae88f3b6a6166836d6278f953bcbf9 | /Structure.lean | d0dc0c67b118f1cd30626cd66e581b478a805621 | [
"MIT"
] | permissive | SReichelt/lean4-experiments | 3e56830c8b2fbe3814eda071c48e3c8810d254a8 | ff55357a01a34a91bf670d712637480089085ee4 | refs/heads/main | 1,683,977,454,907 | 1,622,991,121,000 | 1,622,991,121,000 | 340,765,677 | 2 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 357 | lean | -- An abstract formalization of "isomorphism is equality up to relabeling"
-- -------------------------------------------------------------------------
--
-- See `README.md` for more info.
import Structure.Basic
import Structure.ProductStructure
import Structure.FunctorStructure
import Structure.AbstractPiSigma
imp... |
22a7641e51b635f57f223bdc93e9384a95f093b7 | 38bf3fd2bb651ab70511408fcf70e2029e2ba310 | /src/number_theory/pell.lean | 9905a587a8bfbeac8ad3aa86df76eb59f34290dd | [
"Apache-2.0"
] | permissive | JaredCorduan/mathlib | 130392594844f15dad65a9308c242551bae6cd2e | d5de80376088954d592a59326c14404f538050a1 | refs/heads/master | 1,595,862,206,333 | 1,570,816,457,000 | 1,570,816,457,000 | 209,134,499 | 0 | 0 | Apache-2.0 | 1,568,746,811,000 | 1,568,746,811,000 | null | UTF-8 | Lean | false | false | 37,007 | 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.nat.modeq data.zsqrtd.basic tactic.ring
namespace pell
open nat
section
parameters {a : ℕ} (a1 : a > 1)
include a1
private def d := a*a - 1
@[... |
39dc3fa8cef9b2c86efa7736c3e5c416d9fd6b64 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/ring_theory/ideal/basic.lean | 21f966e5aafedf9fc7a95bc44332f48509b7593e | [
"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 | 26,768 | lean | /-
Copyright (c) 2018 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau, Chris Hughes, Mario Carneiro
-/
import algebra.associated
import linear_algebra.basic
import order.atoms
import order.compactly_generated
import tactic.abel
import data.nat.choos... |
1611f2bbd8866dbffec4b1d336e89c3458568ca4 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/tactic/ext_auto.lean | f81f29b6966144731539d9e03aae964786a191f7 | [] | no_license | AurelienSaue/Mathlib4_auto | f538cfd0980f65a6361eadea39e6fc639e9dae14 | 590df64109b08190abe22358fabc3eae000943f2 | refs/heads/master | 1,683,906,849,776 | 1,622,564,669,000 | 1,622,564,669,000 | 371,723,747 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 8,569 | lean | /-
Copyright (c) 2018 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon, Jesse Michael Han
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.tactic.rcases
import Mathlib.data.sum
import Mathlib.logic.function.basic
impo... |
a5bfb85d8197dee5eb95cafd8251257946f61297 | e00ea76a720126cf9f6d732ad6216b5b824d20a7 | /src/set_theory/ordinal.lean | f778e300d8d373245a0b3276f2fdc217766ffe53 | [
"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 | 138,339 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Mario Carneiro
Ordinal arithmetic.
Ordinals are defined as equivalences of well-ordered sets by order isomorphism.
-/
import order.order_iso set_theory.cardinal data.sum
noncomputable... |
469e5df31af4dc088bacdc6e53cd8295a6e4b698 | 3dd1b66af77106badae6edb1c4dea91a146ead30 | /tests/lean/calc1.lean | 7dabac10dab4b324230b7435d19475d5d63c5bd0 | [
"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 | 1,571 | lean | variable A : Type.{1}
definition bool [inline] : Type.{1} := Type.{0}
variable eq : A → A → bool
infixl `=`:50 := eq
axiom subst (P : A → bool) (a b : A) (H1 : a = b) (H2 : P a) : P b
axiom eq_trans (a b c : A) (H1 : a = b) (H2 : b = c) : a = c
axiom eq_refl (a : A) : a = a
variable le : A → A → bool
infixl `≤`:50 := l... |
b3b03e44ede4332a684dd6092ca8d49ac5bc2275 | f3849be5d845a1cb97680f0bbbe03b85518312f0 | /library/init/algebra/ordered_field.lean | ce97e4033db74968db1ed842dfda8675cf4bc8ca | [
"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 | 19,350 | 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
-/
prelude
import init.algebra.ordered_ring init.algebra.field
set_option old_structure_cmd true
universe u
class linear_ordered_field (α : Type u) ext... |
49acf231359eca574828657f8537b8543bbf6627 | 8d65764a9e5f0923a67fc435eb1a5a1d02fd80e3 | /src/data/list/of_fn.lean | a90d4791a9c1aa2971c8add0f29c4ab34a99b967 | [
"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 | 3,390 | 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.basic
import data.fin
universes u
variables {α : Type u}
open nat
namespace list
/- of_fn -/
theorem length_of_fn_aux {n} (f : fin n → α) :
∀ ... |
e809108a86e1372bd08865ab32b1704373cfa658 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/data/sum/basic.lean | 0a87ab90201963ad50e07908a6b31f3bef5252b9 | [
"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 | 15,803 | lean | /-
Copyright (c) 2017 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Yury G. Kudryashov
-/
import data.option.basic
/-!
# Disjoint union of types
This file proves basic results about the sum type `α ⊕ β`.
`α ⊕ β` is the type made of a... |
9e9aa8e8b8641fa85e85cc57fe0e2aea1e4b0e1a | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/algebra/homology/image_to_kernel.lean | 8124ba044810e644b70527e8697680cb855a3053 | [
"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 | 9,405 | lean | /-
Copyright (c) 2021 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import category_theory.subobject.limits
/-!
# Image-to-kernel comparison maps
Whenever `f : A ⟶ B` and `g : B ⟶ C` satisfy `w : f ≫ g = 0`,
we have `image_le_kernel... |
99971bec48032780a546c7d01c6e012f7481ee75 | 65b579fba1b0b66add04cccd4529add645eff597 | /lambda/pure/src/types.lean | ce30062db604db4df0cda07165841dafc9a953c8 | [] | no_license | teodorov/sf_lean | ba637ca8ecc538aece4d02c8442d03ef713485db | cd4832d6bee9c606014c977951f6aebc4c8d611b | refs/heads/master | 1,632,890,232,054 | 1,543,005,745,000 | 1,543,005,745,000 | 108,566,115 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,076 | lean | namespace lambda_types
inductive term : Type
| var : string → term
| abstraction : string → term → term
| application : term → term → term
open term
def multi_abstraction (names: list string) (body: term): term :=
list.foldr abstraction body names
def currying (body: term) (values: list term): term :=
list.... |
9c73ab752774d6423dc926a8831c0f9efcea77fd | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/data/set/intervals/basic.lean | 835df1f86ddede99fa5893798bd2d6ea99a0f4a9 | [
"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 | 50,531 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro, Patrick Massot, Yury Kudryashov, Rémy Degenne
-/
import algebra.ordered_group
import data.set.basic
/-!
# Intervals
In any preorder `α`, we define int... |
c05255ca225700db2fcd451e6794d8d03ccf0de3 | 28be2ab6091504b6ba250b367205fb94d50ab284 | /levels/solutions/world2_multiplication.lean | 6e8e245ffa7fe6cf6074f303c7c2e35fd494f6f1 | [
"Apache-2.0"
] | permissive | postmasters/natural_number_game | 87304ac22e5e1c5ac2382d6e523d6914dd67a92d | 38a7adcdfdb18c49c87b37831736c8f15300d821 | refs/heads/master | 1,649,856,819,031 | 1,586,444,676,000 | 1,586,444,676,000 | 255,006,061 | 0 | 0 | Apache-2.0 | 1,586,664,599,000 | 1,586,664,598,000 | null | UTF-8 | Lean | false | false | 5,688 | lean | import solutions.world1_addition
import mynat.mul
/- Here's what you get from the import:
1) The following data:
* a function called mynat.mul, and notation a * b for this function
2) The following axioms:
* `mul_zero : ∀ a : mynat, a * 0 = 0`
* `mul_succ : ∀ a b : mynat, a * succ(b) = a * b + a`
These axio... |
1c893d45f07bc0f695ada88a3af820b5c8f29ea2 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/order/lattice_intervals.lean | e8ab7b211242d969596eb10dcea4d0e9847f1f75 | [] | no_license | AurelienSaue/Mathlib4_auto | f538cfd0980f65a6361eadea39e6fc639e9dae14 | 590df64109b08190abe22358fabc3eae000943f2 | refs/heads/master | 1,683,906,849,776 | 1,622,564,669,000 | 1,622,564,669,000 | 371,723,747 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 10,835 | lean | /-
Copyright (c) 2020 Aaron Anderson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Aaron Anderson.
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.order.bounded_lattice
import Mathlib.data.set.intervals.basic
import Mathlib.PostPort
uni... |
177d175d4803b19bf3a095ac280fa9d582a1580a | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/linear_algebra/matrix/bilinear_form.lean | 26506c84985c9e42dc7752f9963f6b8d8c348ec5 | [
"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 | 24,005 | lean | /-
Copyright (c) 2020 Anne Baanen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Anne Baanen, Kexing Ying
-/
import linear_algebra.matrix.basis
import linear_algebra.matrix.nondegenerate
import linear_algebra.matrix.nonsingular_inverse
import linear_algebra.matrix.to... |
1b8d2e93d44cfd8fd2db7034076345f158b98be8 | 92b50235facfbc08dfe7f334827d47281471333b | /hott/types/cubical/cube.hlean | c243a776ce620e9cc3c0628174e8ea2cb9725a68 | [
"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 | 2,897 | hlean | /-
Copyright (c) 2015 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Floris van Doorn
Cubes
-/
import .square
open equiv is_equiv
namespace eq
inductive cube {A : Type} {a₀₀₀ : A}
: Π{a₂₀₀ a₀₂₀ a₂₂₀ a₀₀₂ a₂₀₂ a₀₂₂ a₂₂₂ : A}
{p₁₀₀ : a₀... |
cc7800794d4715865c118ad321761f1ac87219b6 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/tactic/group.lean | e9603a022658f9bb177bd1c38e8ae6b1346f6e7e | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 3,945 | lean | /-
Copyright (c) 2020. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Patrick Massot
-/
import tactic.ring
import tactic.doc_commands
import algebra.group.commutator
/-!
# `group`
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file require a corresp... |
2972ea3f4c35544fd016a3d2540aaf95a86b6786 | c3f2fcd060adfa2ca29f924839d2d925e8f2c685 | /library/data/default.lean | 634a884933ad01538bde7e384143a7f9138bd8b4 | [
"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 | 278 | lean | --- Copyright (c) 2014 Microsoft Corporation. All rights reserved.
--- Released under Apache 2.0 license as described in the file LICENSE.
--- Author: Jeremy Avigad
import .empty .unit .bool .num .string .nat .int
import .prod .sum .sigma .option .subtype .quotient .list .set
|
82464413e4fe72530834ac799d998edfadfcae23 | bbecf0f1968d1fba4124103e4f6b55251d08e9c4 | /src/analysis/calculus/times_cont_diff.lean | afad303df37cc20e6aff661dd907f4a5673cffcf | [
"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 | 143,119 | lean | /-
Copyright (c) 2019 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import analysis.calculus.mean_value
import analysis.normed_space.multilinear
import analysis.calculus.formal_multilinear_series
/-!
# Higher differentiability
... |
db1f6d3fa053be7c5894a5b824cab8d98097b0d6 | 82e44445c70db0f03e30d7be725775f122d72f3e | /src/data/set/intervals/basic.lean | 0c3abcffa9972b0cbf5fbe1faf1f7f075e4c25ac | [
"Apache-2.0"
] | permissive | stjordanis/mathlib | 51e286d19140e3788ef2c470bc7b953e4991f0c9 | 2568d41bca08f5d6bf39d915434c8447e21f42ee | refs/heads/master | 1,631,748,053,501 | 1,627,938,886,000 | 1,627,938,886,000 | 228,728,358 | 0 | 0 | Apache-2.0 | 1,576,630,588,000 | 1,576,630,587,000 | null | UTF-8 | Lean | false | false | 52,537 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro, Patrick Massot, Yury Kudryashov, Rémy Degenne
-/
import algebra.ordered_group
import data.set.basic
import order.rel_iso
/-!
# Intervals
In any preord... |
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