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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
33e6470d6437ae533aea71221cca83aac4cc9157 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/fail/failed_lemma.lean | d4135a6e4b0103811092b5cc38a5a546006ca9bf | [
"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 | 40 | lean | lemma wrong : false := by tactic.failed
|
8fecf11b064476da6fd9906b2d343e757b8878d2 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/topology/uniform_space/compare_reals.lean | 69a5c53be6edd86e1a40d37105156b3208602b12 | [
"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 | 4,791 | lean | /-
Copyright (c) 2019 Patrick MAssot. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Patrick Massot
-/
import topology.uniform_space.absolute_value
import topology.instances.real
import topology.uniform_space.completion
/-!
# Comparison of Cauchy reals and Bourbaki re... |
9d345f1be2a78bfeaa87392fdff81468a8e084fe | 3dd1b66af77106badae6edb1c4dea91a146ead30 | /tests/lean/run/ind2.lean | 92aa21308b61979c66b9719cb9502b03593eb111 | [
"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 | 264 | lean | inductive nat : Type :=
| zero : nat
| succ : nat → nat
inductive vector (A : Type) : nat → Type :=
| vnil : vector A zero
| vcons : Π {n : nat}, A → vector A n → vector A (succ n)
check vector.{1}
check vnil.{1}
check vcons.{1}
check vector_rec.{1 1}
|
3585d2826e2a487fe0784da3882199103575a795 | 01f6b345a06ece970e589d4bbc68ee8b9b2cf58a | /src/alg_norm_of_galois.lean | aeee1803aa0de388ca5ee70ddb4830a82638b18c | [] | no_license | mariainesdff/norm_extensions_journal_submission | 6077acb98a7200de4553e653d81d54fb5d2314c8 | d396130660935464fbc683f9aaf37fff8a890baa | refs/heads/master | 1,686,685,693,347 | 1,684,065,115,000 | 1,684,065,115,000 | 603,823,641 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 14,133 | lean | /-
Copyright (c) 2023 María Inés de Frutos-Fernández. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: María Inés de Frutos-Fernández
-/
import data.fintype.order
import field_theory.fixed
import normed_space
/-!
# alg_norm_of_auto and alg_norm_of_galois
In the secti... |
f0431fb71cca8d07e8a4820c078390fb026a0271 | 2de8c1580f92bb6c28b60135f589fe9d0513faba | /src/mv_polynomial.lean | c74a7c23593d3d5d9843052a37cd831b3e64be6c | [] | no_license | FCL-lean/verification | 44a52e40ab78b18654b8d61bb55c2c912a40d2f4 | be02c698c0ca78b18762e3fe7749cdc72a55d197 | refs/heads/master | 1,585,960,207,309 | 1,560,259,990,000 | 1,560,259,990,000 | 155,650,137 | 0 | 0 | null | 1,541,039,704,000 | 1,541,038,972,000 | Lean | UTF-8 | Lean | false | false | 3,353 | lean | import data.mv_polynomial ring_theory.noetherian finsupp finset
open finsupp
namespace mv_polynomial
variables {σ : Type*} {α : Type*} [decidable_eq σ] [decidable_eq α]
/-section discrete_field
variables [discrete_field α]
theorem HBT : is_noetherian (mv_polynomial σ α) (mv_polynomial σ α) := sorry
lem... |
096b2f415a074abe97b40d4fb0a52dfd37051dab | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /test/swap_var.lean | 461254155fdaeb625e4398b701e84e848dbc01c9 | [
"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 | 637 | lean | import tactic.swap_var
example (P Q : Prop) (hp : P) (hq : Q) : P ∧ Q :=
begin
split,
work_on_goal 2 { swap_var P Q },
all_goals { exact ‹P› }
end
example (P Q : Prop) (hp : P) (hq : Q) : P ∧ Q :=
begin
split,
work_on_goal 2 { swap_var [P Q] },
all_goals { exact ‹P› }
end
example (P Q : Prop) (hp : P) (h... |
fa24ba515987ac4cfdb2d555e62eb1dd2208024c | 947fa6c38e48771ae886239b4edce6db6e18d0fb | /src/data/complex/is_R_or_C.lean | acc35ec986eb1a085f389e677ab8527bb030917b | [
"Apache-2.0"
] | permissive | ramonfmir/mathlib | c5dc8b33155473fab97c38bd3aa6723dc289beaa | 14c52e990c17f5a00c0cc9e09847af16fabbed25 | refs/heads/master | 1,661,979,343,526 | 1,660,830,384,000 | 1,660,830,384,000 | 182,072,989 | 0 | 0 | null | 1,555,585,876,000 | 1,555,585,876,000 | null | UTF-8 | Lean | false | false | 37,044 | lean | /-
Copyright (c) 2020 Frédéric Dupuis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Frédéric Dupuis
-/
import data.real.sqrt
import field_theory.tower
import analysis.normed_space.finite_dimension
import analysis.normed_space.star.basic
/-!
# `is_R_or_C`: a typeclas... |
34f7b1b37f9bdc5e890caf32de1ae5ad06410b5f | 4727251e0cd73359b15b664c3170e5d754078599 | /src/algebra/monoid_algebra/grading.lean | 4473ac2be768b35d2836f6774417eaf24dd069ba | [
"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 | 8,102 | lean | /-
Copyright (c) 2021 Eric Wieser. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Eric Wieser
-/
import linear_algebra.finsupp
import algebra.monoid_algebra.basic
import algebra.direct_sum.internal
import ring_theory.graded_algebra.basic
/-!
# Internal grading of an `... |
ce1a963c93f05a6daee988a75ed9fcb4c111316a | b2fe74b11b57d362c13326bc5651244f111fa6f4 | /src/data/list/basic.lean | 2c0592a2c5993e3d9dd940eacd84f997e2b9cd1c | [
"Apache-2.0"
] | permissive | midfield/mathlib | c4db5fa898b5ac8f2f80ae0d00c95eb6f745f4c7 | 775edc615ecec631d65b6180dbcc7bc26c3abc26 | refs/heads/master | 1,675,330,551,921 | 1,608,304,514,000 | 1,608,304,514,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 176,782 | lean | /-
Copyright (c) 2014 Parikshit Khanna. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Parikshit Khanna, Jeremy Avigad, Leonardo de Moura, Floris van Doorn, Mario Carneiro
-/
import algebra.order_functions
import control.monad.basic
import data.nat.choose.basic
import ... |
fb27efce5cf2a35c7131192baaea7ed20c46e3c0 | 97c8e5d8aca4afeebb5b335f26a492c53680efc8 | /ground_zero/HITs/join.lean | 57244c52f2af2bdc9505f9463106cfcd651e5270 | [] | no_license | jfrancese/lean | cf32f0d8d5520b6f0e9d3987deb95841c553c53c | 06e7efaecce4093d97fb5ecc75479df2ef1dbbdb | refs/heads/master | 1,587,915,151,351 | 1,551,012,140,000 | 1,551,012,140,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,488 | lean | import ground_zero.HITs.suspension
open ground_zero.types.product (pr₁ pr₂)
open ground_zero.types.dep_path (pathover_of_eq)
hott theory
/-
Join.
* HoTT 6.8
-/
namespace ground_zero.HITs
universes u v w
def join (α : Type u) (β : Type v) :=
@pushout α β (α × β) pr₁ pr₂
namespace join
variables {α : Type u} {... |
c9e588e68e32d9344005cf703c3ca327aefe3ec1 | c777c32c8e484e195053731103c5e52af26a25d1 | /src/algebra/category/Module/biproducts.lean | ac7e918c8c67802cc8da7457ccc96a69d5e3af36 | [
"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 | 6,108 | lean | /-
Copyright (c) 2022 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import algebra.group.pi
import category_theory.limits.shapes.biproducts
import algebra.category.Module.abelian
import algebra.homology.short_exact.abelian
/-!
# The ... |
d6f6bf4d3908b90860fabc9ac55d37948d42af8c | 9c1ad797ec8a5eddb37d34806c543602d9a6bf70 | /universal/universal.lean | d396c16fea983f445dcce25ba65092bf96c43736 | [] | 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 | 7,884 | 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 .initial
import ..isomorphism
import ..natural_transformation
import ..graph
open tqft.categories
open tqft.categories.functor
open tqft.c... |
addd8a0030799e292ee1694791d7fe5de4555cc6 | 969dbdfed67fda40a6f5a2b4f8c4a3c7dc01e0fb | /src/algebraic_topology/simplicial_set.lean | e7ed73fb62a77896650534c6dc59373db2d3d440 | [
"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 | 4,184 | lean | /-
Copyright (c) 2021 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin, Scott Morrison
-/
import algebraic_topology.simplicial_object
import category_theory.yoneda
import category_theory.limits.types
/-!
A simplicial set is just a simplici... |
dac1ab30339d8b7d42275a2fdcc11382aee53074 | efa51dd2edbbbbd6c34bd0ce436415eb405832e7 | /20150803_CADE/examples/ex6.lean | 193f1ef21d872aa0757da0137acccc7c8ff4aa49 | [
"Apache-2.0"
] | permissive | leanprover/presentations | dd031a05bcb12c8855676c77e52ed84246bd889a | 3ce2d132d299409f1de269fa8e95afa1333d644e | refs/heads/master | 1,688,703,388,796 | 1,686,838,383,000 | 1,687,465,742,000 | 29,750,158 | 12 | 9 | Apache-2.0 | 1,540,211,670,000 | 1,422,042,683,000 | Lean | UTF-8 | Lean | false | false | 551 | lean | open nat
inductive inh [class] (A : Type) : Type :=
mk : A → inh A
open inh
definition def (A : Type) [h : inh A] : A :=
match h with
| mk a := a
end
definition prop_inh [instance] : inh Prop :=
mk true
definition nat_inh [instance] : inh nat :=
mk 0
definition fun_inh [instance] (A B : Type) [h : inh B] : inh (A... |
0678865e5bd49169004c7d0ea23616117f32af4c | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/ring_theory/witt_vector/mul_coeff.lean | f59f173bd2bd62da101ef64ed63dcc090e7ce6fe | [
"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 | 12,698 | lean | /-
Copyright (c) 2022 Robert Y. Lewis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Robert Y. Lewis, Heather Macbeth
-/
import ring_theory.witt_vector.truncated
import data.mv_polynomial.supported
/-!
# Leading terms of Witt vector multiplication
The goal of this ... |
05a7bbac1dffb9881a74fbfe5f3b29a005cbb9ce | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/linear_algebra/ray.lean | d05573e8e4a443d00e043e3d1ad6d6dd5eabade1 | [
"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 | 24,567 | lean | /-
Copyright (c) 2021 Joseph Myers. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Myers
-/
import linear_algebra.linear_independent
/-!
# Rays in modules
This file defines rays in modules.
## Main definitions
* `same_ray`: two vectors belong to the same ray... |
4f9c7339d423e740bd9ac6920ec1122461e24b8b | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/analysis/special_functions/non_integrable.lean | 4fc6b9f5ab2bbca1a82fba3b6728ea81f09e364c | [
"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 | 9,629 | 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 analysis.special_functions.integrals
import analysis.calculus.fderiv_measurable
/-!
# Non integrable functions
In this file we prove that the derivative of... |
f322ff7f41156e635edefdf03d76e87642290736 | a45212b1526d532e6e83c44ddca6a05795113ddc | /test/examples.lean | b8335058e2a4ece6b67f5dfa4c5d4ab7310cdc49 | [
"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 | 4,529 | lean | import tactic data.stream.basic data.set.basic data.finset data.multiset
category.traversable.derive
open tactic
universe u
variable {α : Type}
example (s t u : set ℕ) (h : s ⊆ t ∩ u) (h' : u ⊆ s) : u ⊆ s → true :=
begin
dunfold has_subset.subset has_inter.inter at *,
-- trace_state,
intro1, triv
end
exa... |
2e7f8754cac9221242f5a2e794656c82857322dd | 2a70b774d16dbdf5a533432ee0ebab6838df0948 | /_target/deps/mathlib/src/data/real/nnreal.lean | ac1c8c3ccaf1a96aff127f349ed35ff183e503bd | [
"Apache-2.0"
] | permissive | hjvromen/lewis | 40b035973df7c77ebf927afab7878c76d05ff758 | 105b675f73630f028ad5d890897a51b3c1146fb0 | refs/heads/master | 1,677,944,636,343 | 1,676,555,301,000 | 1,676,555,301,000 | 327,553,599 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 29,307 | lean | /-
Copyright (c) 2018 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin
-/
import algebra.linear_ordered_comm_group_with_zero
import algebra.big_operators.ring
import data.real.basic
import data.indicator_function
/-!
# Nonnegative real num... |
c1dab5a5cb74ba328a75e10426347c29e6cc7104 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /counterexamples/linear_order_with_pos_mul_pos_eq_zero.lean | b83f9dca5525b4730cc9061867bcd0bbb8f6c907 | [
"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 | 2,347 | lean | /-
Copyright (c) 2021 Johan Commelin.
All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin, Damiano Testa, Kevin Buzzard
-/
import algebra.order.monoid.defs
import algebra.order.monoid.with_zero.defs
/-!
An example of a `linear_ordered_comm_monoid_with_zero` ... |
14186762a929e4ecd87a872757557252699e15b6 | 80cc5bf14c8ea85ff340d1d747a127dcadeb966f | /src/measure_theory/probability_mass_function.lean | ca2e2602f09307fb5a935d2a0ceab1f3d232f857 | [
"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 | 4,770 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Johannes Hölzl
Probability mass function -- discrete probability measures
-/
import topology.instances.ennreal
noncomputable theory
variables {α : Type*} {β : Type*} {γ : Type*}
open_l... |
97d4cbdb494e3907219d570d63a95e21e5928ca4 | c31182a012eec69da0a1f6c05f42b0f0717d212d | /scripts/lint_project.lean | 0e35526c0529367ce670f769292336b918e672af | [] | 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 | 4,692 | 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... |
ce256a47d791bad002dcac742d6800f297ebf448 | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /tests/lean/run/impLambdaTac.lean | 40c0a8f1c1875d6997112f2d37acd9f6777788ba | [
"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 | 673 | lean | example (P : Prop) : ∀ {p : P}, P := by
exact fun {p} => p
example (P : Prop) : ∀ {p : P}, P := by
intro h; exact h
example (P : Prop) : ∀ {p : P}, P := by
exact @id _
example (P : Prop) : ∀ {p : P}, P := by
exact no_implicit_lambda% id
macro "exact'" x:term : tactic => `(exact no_implicit_lambda% $x)
exam... |
962f1f90908a637a7e063e5c3f19626d436f3f77 | 95ac00a060729805e0320c0f4084d6b35729f8dd | /src/ring_theory/noetherian.lean | 78f71862a8d6c712d5c953f474edbb6e098df30f | [
"Apache-2.0"
] | permissive | holtzermann17/mathlib | e71f8319634d8a1171ff0bf104e64ff838e8b641 | d8f6dc46f2efb7278c6e5d68442c6e969388e93a | refs/heads/master | 1,584,975,663,098 | 1,547,733,323,000 | 1,549,020,382,000 | 141,714,796 | 0 | 0 | null | 1,532,092,944,000 | 1,532,092,944,000 | null | UTF-8 | Lean | false | false | 16,341 | lean | /-
Copyright (c) 2018 Mario Carneiro and Kevin Buzzard. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Kevin Buzzard
-/
import data.equiv.algebra
import data.polynomial
import linear_algebra.linear_combination
import ring_theory.ideal_operations
import... |
87f0ed22ab04252e28db41ed24c9c1685a249f05 | 8b9f17008684d796c8022dab552e42f0cb6fb347 | /hott/init/num.hlean | f32a3f4992a1a8a0abefb93ac21c183d0027621f | [
"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 | 3,364 | hlean | /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Module: init.num
Authors: Leonardo de Moura
-/
prelude
import init.logic init.bool
open bool
definition pos_num.is_inhabited [instance] : inhabited pos_num :=
inhabited.mk pos_num.one... |
dfcdbcc936afacfa19802db5e79e3135ef6a0b37 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/scopedHindingIssue.lean | ac92c1705d6aa096880a23ab2bc505d8a9cbdf08 | [
"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 | 162 | lean | namespace Foo
def x := 10
scoped macro "~0~" : term => `(0)
#check ~0~
end Foo
open Foo hiding x -- must open scoped notation and attributes too
#check ~0~
|
d098a7eac72df0ccfdd4f64c7a03125775098abd | 7cdf3413c097e5d36492d12cdd07030eb991d394 | /src/game/world1/level4.lean | 39bde728a5538d0b598424dfce504c3f26d3f021 | [] | no_license | alreadydone/natural_number_game | 3135b9385a9f43e74cfbf79513fc37e69b99e0b3 | 1a39e693df4f4e871eb449890d3c7715a25c2ec9 | refs/heads/master | 1,599,387,390,105 | 1,573,200,587,000 | 1,573,200,691,000 | 220,397,084 | 0 | 0 | null | 1,573,192,734,000 | 1,573,192,733,000 | null | UTF-8 | Lean | false | false | 3,259 | lean | import mynat.add -- definition of addition
namespace mynat -- hide
/- Axiom : add_zero (a : mynat) :
a + 0 = a
-/
/- Axiom : add_succ (a b : mynat) :
a + succ(b) = succ(a + b)
-/
/-
# World 1 : Tutorial world
## Level 4: addition
We have a new import -- the definition of addition.
Peano defined addition `a + b` b... |
7a4d16be046af776486be862e33c98fbdac610dd | 4727251e0cd73359b15b664c3170e5d754078599 | /src/analysis/analytic/radius_liminf.lean | ecb1d750d27daa7b8ad47de479cd8b4bcd5f621f | [
"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 | 2,491 | 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 analysis.analytic.basic
import analysis.special_functions.pow
/-!
# Representation of `formal_multilinear_series.radius` as a `liminf`
In this file we prov... |
342f09dd5f148e32ac9380052c75e09505be1d3e | 048b0801f6dafb6486ca4f22bd0957671c3002ff | /src/util/tactic.lean | 2f6876203864a9b4f0a28edd60100ebb07cc2374 | [
"Apache-2.0"
] | permissive | Scikud/lean-gym | e0782e36389ecfa1605a0c12dc95f67014a0fa05 | a1ca851b7c09eca1f72be2d059e3ed5536348b0b | refs/heads/main | 1,693,940,033,482 | 1,633,522,864,000 | 1,633,522,864,000 | 419,793,692 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,728 | lean | /-
Copyright (c) 2021 OpenAI. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author(s): Stanislas Polu, Jesse Michael Han
Helper functions to work with the tactic monad.
-/
import tactic
import tactic.core
import util.io
import system.io
import basic.control
namespace expr
m... |
566ba62634b3c8e1e779ca0dceff018f5c8395c3 | 94e33a31faa76775069b071adea97e86e218a8ee | /src/category_theory/monoidal/category.lean | b1bb884e221f4c1f03af1de45d2a94418435e44d | [
"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 | 20,658 | lean | /-
Copyright (c) 2018 Michael Jendrusch. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Michael Jendrusch, Scott Morrison, Bhavik Mehta, Jakob von Raumer
-/
import category_theory.products.basic
/-!
# Monoidal categories
A monoidal category is a category equipped wit... |
4939fd536b758daed2e8b1454242ebb2f7d767da | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/tactic/derive_inhabited.lean | 848db5114f51904236322e92e124917ef156f50c | [
"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 | 2,352 | lean | /-
Copyright (c) 2020 Gabriel Ebner. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gabriel Ebner
-/
import logic.basic
/-!
# Derive handler for `inhabited` instances
This file introduces a derive handler to automatically generate `inhabited`
instances for structures... |
68380cca0142b25d060d02466df64a61fa2b2e23 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/analysis/complex/real_deriv.lean | 2ee7a384c0c48138df70c9fdb3940dd78529adae | [
"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 | 2,930 | lean | /-
Copyright (c) Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import analysis.calculus.times_cont_diff
import analysis.complex.basic
/-! # Real differentiability of complex-differentiable functions
`has_deriv_at.real_of_compl... |
79744bcd87c7f4bb13e72db21a7907a6fa13f201 | 076f5040b63237c6dd928c6401329ed5adcb0e44 | /assignments/hw7_bool_sat/bool_sat_playground.lean | bc159ad3e7504e9c0584bf77c125ed0a3ebac7aa | [] | no_license | kevinsullivan/uva-cs-dm-f19 | 0f123689cf6cb078f263950b18382a7086bf30be | 09a950752884bd7ade4be33e9e89a2c4b1927167 | refs/heads/master | 1,594,771,841,541 | 1,575,853,850,000 | 1,575,853,850,000 | 205,433,890 | 4 | 9 | null | 1,571,592,121,000 | 1,567,188,539,000 | Lean | UTF-8 | Lean | false | false | 495 | lean | import .prop_logic
import .bool_sat
open prop_logic
open prop_logic.var
open prop_logic.pExp
/-
Play around, i.e., experiment with,
and practicing using, the functions
defined in bool_sat.lean. Here are
a few definitions to get you started.
-/
/-
We define a few variables to use
in the rest of this assignment.
-/
... |
f49a38d966f91114ecf2c617d154327158f76b1e | 367134ba5a65885e863bdc4507601606690974c1 | /src/tactic/split_ifs.lean | 97efa1f8f06d4f340973d79dc8b5d71ce22b78f2 | [
"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 | 3,305 | lean | /-
Copyright (c) 2018 Gabriel Ebner. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gabriel Ebner.
Tactic to split if-then-else-expressions.
-/
import tactic.hint
open expr tactic
namespace tactic
open interactive
meta def find_if_cond : expr → option expr | e :=
e... |
7b54316c3899fa2e26506b2780f65f191f28d1e1 | 80cc5bf14c8ea85ff340d1d747a127dcadeb966f | /src/topology/instances/nnreal.lean | be3fd4fefa3beb03f3d517aa06d9aa2f5582b79d | [
"Apache-2.0"
] | permissive | lacker/mathlib | f2439c743c4f8eb413ec589430c82d0f73b2d539 | ddf7563ac69d42cfa4a1bfe41db1fed521bd795f | refs/heads/master | 1,671,948,326,773 | 1,601,479,268,000 | 1,601,479,268,000 | 298,686,743 | 0 | 0 | Apache-2.0 | 1,601,070,794,000 | 1,601,070,794,000 | null | UTF-8 | Lean | false | false | 5,057 | lean | /-
Copyright (c) 2018 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin
Nonnegative real numbers.
-/
import topology.algebra.infinite_sum
noncomputable theory
open set topological_space metric
open_locale topological_space
namespace nnreal... |
176211d91ed6d232f73d990473d8f702c44602b6 | 562dafcca9e8bf63ce6217723b51f32e89cdcc80 | /src/super/simp.lean | f6974e58539f5605677f1c4885d84c5343e256ba | [] | no_license | digama0/super | 660801ef3edab2c046d6a01ba9bbce53e41523e8 | 976957fe46128e6ef057bc771f532c27cce5a910 | refs/heads/master | 1,606,987,814,510 | 1,498,621,778,000 | 1,498,621,778,000 | 95,626,306 | 0 | 0 | null | 1,498,621,692,000 | 1,498,621,692,000 | null | UTF-8 | Lean | false | false | 1,496 | lean | /-
Copyright (c) 2017 Gabriel Ebner. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gabriel Ebner
-/
import .clause_ops .prover_state
open tactic monad
namespace super
meta def prove_using_assumption : tactic unit := do
tgt ← target,
ass ← mk_local_def `h tgt,
exact ... |
e44da41ef7806e4ffdc5bc2724b3c83eefa8c428 | 07c6143268cfb72beccd1cc35735d424ebcb187b | /src/algebra/group/basic.lean | 91182c55def980eb3b559f69f46128cfe14c3b52 | [
"Apache-2.0"
] | permissive | khoek/mathlib | bc49a842910af13a3c372748310e86467d1dc766 | aa55f8b50354b3e11ba64792dcb06cccb2d8ee28 | refs/heads/master | 1,588,232,063,837 | 1,587,304,803,000 | 1,587,304,803,000 | 176,688,517 | 0 | 0 | Apache-2.0 | 1,553,070,585,000 | 1,553,070,585,000 | null | UTF-8 | Lean | false | false | 9,562 | lean | /-
Copyright (c) 2014 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Simon Hudon, Mario Carneiro
-/
import algebra.group.to_additive logic.function
attribute [simp] sub_neg_eq_add
/-!
# Extra identities for semigroups, monoids, and group... |
9c4cb8f9ff1b65978140e94062f4781ed3ba928c | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/order/filter/interval.lean | ee35a54c3ed61f9f57c2ff26fb748105120364b5 | [
"Apache-2.0"
] | permissive | jjgarzella/mathlib | 96a345378c4e0bf26cf604aed84f90329e4896a2 | 395d8716c3ad03747059d482090e2bb97db612c8 | refs/heads/master | 1,686,480,124,379 | 1,625,163,323,000 | 1,625,163,323,000 | 281,190,421 | 2 | 0 | Apache-2.0 | 1,595,268,170,000 | 1,595,268,169,000 | null | UTF-8 | Lean | false | false | 10,031 | 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 data.set.intervals.ord_connected
import order.filter.lift
import order.filter.at_top_bot
/-!
# Convergence of intervals
If both `a` and `b` tend to s... |
c8722bc7af738db49f94f49d27d219e241517d94 | abd85493667895c57a7507870867b28124b3998f | /src/analysis/special_functions/pow.lean | 3f969db785163fadf7d61e3daee06864b33d57c5 | [
"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 | 46,833 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Abhimanyu Pallavi Sudhir, Jean Lo, Calle Sönne, Sébastien Gouëzel
-/
import analysis.special_functions.trigonometric
import analysis.calculus.extend_deriv
/-!
# Power func... |
14d733efb7a7581733463a2d17a9bd875c359a19 | 3f7026ea8bef0825ca0339a275c03b911baef64d | /src/category_theory/limits/shapes/binary_products.lean | aa8f5e463f84ac1563bf2c77f337fb82ad96b8a1 | [
"Apache-2.0"
] | permissive | rspencer01/mathlib | b1e3afa5c121362ef0881012cc116513ab09f18c | c7d36292c6b9234dc40143c16288932ae38fdc12 | refs/heads/master | 1,595,010,346,708 | 1,567,511,503,000 | 1,567,511,503,000 | 206,071,681 | 0 | 0 | Apache-2.0 | 1,567,513,643,000 | 1,567,513,643,000 | null | UTF-8 | Lean | false | false | 7,629 | 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 category_theory.limits.shapes.finite_products
import category_theory.limits.shapes.terminal
import category_theory.discrete_category
/-!
# Pullbacks
We defin... |
26c55dbb5371ae58d5a4c39969866a6c049d7215 | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /tests/lean/run/assertAfterBug.lean | c2547ece743a6e9bb65151f381a390c60a34e5cb | [
"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 | 2,046 | lean | import Std
inductive Expr where
| var (i : Nat)
| op (lhs rhs : Expr)
deriving Inhabited, Repr
def List.getIdx : List α → Nat → α → α
| [], i, u => u
| a::as, 0, u => a
| a::as, i+1, u => getIdx as i u
structure Context (α : Type u) where
op : α → α → α
unit : α
assoc : (a b c : α) → op... |
d266682803383a3f3274340938ebd0c5cfc30306 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/Lean/Elab/GenInjective.lean | becc897bb6be5adbe42bea3d4e5edc66ad18b667 | [
"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 | 494 | lean | /-
Copyright (c) 2021 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Elab.Command
import Lean.Meta.Injective
namespace Lean.Elab.Command
@[builtin_command_elab genInjectiveTheorems] def elabGenInjectiveTheorems ... |
344d62e448301d272dccda3d7df9e9da6de72f03 | 1d335ec6ac4181a0a762b12797936770cc9fcef9 | /eval/timeEval.lean | 0c482cc6cfcfd54d288ac29b20fb51293478cc34 | [] | no_license | rohanrajnair/lang | dbadcc3997e44245ca84d48dc1733cf09a2605a6 | 3beb4e29d8faa692983a55fa18acb6eb947134e8 | refs/heads/master | 1,672,640,379,424 | 1,597,948,771,000 | 1,597,948,771,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 236 | lean | import ..imperative_DSL.environment
open lang.classicalTime
def classicalTimeEval : lang.classicalTime.expr → environment.env → classicalTime
| (lang.classicalTime.expr.lit V) i := V
| (lang.classicalTime.expr.var v) i := i.t v
|
b964ee67f2a0c881049e260274c23f9c6d877ff0 | ad0c7d243dc1bd563419e2767ed42fb323d7beea | /ring_theory/matrix.lean | db88ebf56b08ccabed225c4b870d0eb727abe9ff | [
"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 | 6,850 | 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
Matrices
-/
import algebra.module data.fintype algebra.pi_instances
universes u v
def matrix (m n : Type u) [fintype... |
583820f9da4e881a575a4f2c18510ff131acd8ad | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /doc/monads/laws.lean | cbcef0b134aabce0a0a0d2e179f7eeaa2159aa49 | [
"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 | 11,101 | lean | /-!
# Monad Laws
In the previous sections you learned how to use [Functors](functors.lean.md),
[Applicatives](applicatives.lean.md), and [Monads](monads.lean.md), and you played with some useful
instances including [Option](monads.lean.md), [IO](monads.lean.md), [Reader](readers.lean.md),
[State](states.lean.md) and [... |
d2590ea647f8a1eea748328cd1a9b8c73a86b59d | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/data/equiv/mul_add_aut.lean | a93aa10cd5c9c3379d084d94e0b9b4aa8afaed85 | [
"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 | 6,006 | lean | /-
Copyright (c) 2018 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Callum Sutton, Yury Kudryashov
-/
import data.equiv.mul_add
import group_theory.perm.basic
/-!
# Multiplicative and additive group automorphisms
This file defines the... |
4599ef6f6eafd95f06ab4df2869e5835d88a2f97 | 82e44445c70db0f03e30d7be725775f122d72f3e | /src/category_theory/limits/shapes/disjoint_coproduct.lean | 0f01177245a3f00b1ddba27d7497a09b4ea2f9e8 | [
"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 | 5,225 | 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 category_theory.limits.shapes.binary_products
import category_theory.limits.shapes.pullbacks
import category_theory.limits.over
/-!
# Disjoint coproducts
Defines... |
65e009fd24fa955c093aca44697cfcc6037fc1a8 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/group_theory/submonoid/basic.lean | fd578df11c822f7f0eb0d6924c891447767eb5f2 | [
"Apache-2.0"
] | permissive | robertylewis/mathlib | 3d16e3e6daf5ddde182473e03a1b601d2810952c | 1d13f5b932f5e40a8308e3840f96fc882fae01f0 | refs/heads/master | 1,651,379,945,369 | 1,644,276,960,000 | 1,644,276,960,000 | 98,875,504 | 0 | 0 | Apache-2.0 | 1,644,253,514,000 | 1,501,495,700,000 | Lean | UTF-8 | Lean | false | false | 17,323 | lean | /-
Copyright (c) 2018 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Kenny Lau, Johan Commelin, Mario Carneiro, Kevin Buzzard,
Amelia Livingston, Yury Kudryashov
-/
import data.set.lattice
import data.set_like.basic
/-!
# Submonoids: de... |
f157d8c4d18cf1a24456fe1d7d05ed4f948c9944 | 0c1546a496eccfb56620165cad015f88d56190c5 | /library/init/function.lean | 3e308852fe99e4e691860cb1b6840744d107d4b1 | [
"Apache-2.0"
] | permissive | Solertis/lean | 491e0939957486f664498fbfb02546e042699958 | 84188c5aa1673fdf37a082b2de8562dddf53df3f | refs/heads/master | 1,610,174,257,606 | 1,486,263,620,000 | 1,486,263,620,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 5,412 | lean | /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura, Jeremy Avigad, Haitao Zhang
General operations on functions.
-/
prelude
import init.data.prod init.funext init.logic
universe variables u₁ u₂ u₃ u₄
namespace... |
dc193511bc88ef21eb344cb945642c450c9b9366 | 80cc5bf14c8ea85ff340d1d747a127dcadeb966f | /src/algebra/group/ulift.lean | 23938c8878b74c367aecec22099a8c39ea1539cf | [
"Apache-2.0"
] | permissive | lacker/mathlib | f2439c743c4f8eb413ec589430c82d0f73b2d539 | ddf7563ac69d42cfa4a1bfe41db1fed521bd795f | refs/heads/master | 1,671,948,326,773 | 1,601,479,268,000 | 1,601,479,268,000 | 298,686,743 | 0 | 0 | Apache-2.0 | 1,601,070,794,000 | 1,601,070,794,000 | null | UTF-8 | Lean | false | false | 3,322 | 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 data.equiv.mul_add
/-!
# `ulift` instances for groups and monoids
This file defines instances for group, monoid, semigroup and related structures on `ulift` ... |
f223ccdb02b2e98763f4b6f43c89ab2361215916 | b00eb947a9c4141624aa8919e94ce6dcd249ed70 | /stage0/src/Lean/Server/FileWorker.lean | 27eaff81771744ce168fd86a945392029739fee6 | [
"Apache-2.0"
] | permissive | gebner/lean4-old | a4129a041af2d4d12afb3a8d4deedabde727719b | ee51cdfaf63ee313c914d83264f91f414a0e3b6e | refs/heads/master | 1,683,628,606,745 | 1,622,651,300,000 | 1,622,654,405,000 | 142,608,821 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 36,212 | lean | /-
Copyright (c) 2020 Marc Huisinga. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Marc Huisinga, Wojciech Nawrocki
-/
import Init.System.IO
import Std.Data.RBMap
import Lean.Environment
import Lean.PrettyPrinter
import Lean.DeclarationRange
import Lean.Data.Lsp
im... |
9e8d1fead8301573c8fc8548454aae184866fdbc | 4ec0e92c725fad3fd2871a0ab050a7da1c719444 | /src/mywork/lecture_12.lean | e7d3e4557c787f64ab4fccd6d64daaf3c51e92df | [] | no_license | mitchelltaylor06/cs2120f21 | cc2c2b61a7e45c07faa849fcb8a66eb948753a25 | efb71a748d7c76e24834d03b8f01c3ae084c1756 | refs/heads/main | 1,693,841,444,092 | 1,633,713,850,000 | 1,633,713,850,000 | 399,946,415 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 685 | lean | /-
We
-/
def ev (n : ℕ) : Prop := n%2=0
example : exists (n : ℕ), ev n :=
begin
apply exists.intro _ _,
exact 6,
apply eq.refl,
end
example : exists n, ev n := _
def pythagorean_triple(a b c : nat) : Prop :=
a * a + b * b = c * c
example: pythagorean_triple 3 4 5:=
begin
unfold pythagorean_triple,
apply... |
4541e4dbe00e6478b3d7356525fba784b7a52985 | b70031c8e2c5337b91d7e70f1e0c5f528f7b0e77 | /src/data/list/basic.lean | a0f672fb6630e2d7efdc1cee431d087f89c53c9f | [
"Apache-2.0"
] | permissive | molodiuc/mathlib | cae2ba3ef1601c1f42ca0b625c79b061b63fef5b | 98ebe5a6739fbe254f9ee9d401882d4388f91035 | refs/heads/master | 1,674,237,127,059 | 1,606,353,533,000 | 1,606,353,533,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 176,540 | lean | /-
Copyright (c) 2014 Parikshit Khanna. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Parikshit Khanna, Jeremy Avigad, Leonardo de Moura, Floris van Doorn, Mario Carneiro
-/
import algebra.order_functions
import control.monad.basic
import data.nat.choose.basic
import ... |
90d210ec69f8570e07b56f46fa9bf98634158ddd | 2eab05920d6eeb06665e1a6df77b3157354316ad | /src/topology/metric_space/basic.lean | 66b43c8a115ac44311703b4ee7034a116f405676 | [
"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 | 103,841 | lean | /-
Copyright (c) 2015, 2017 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Robert Y. Lewis, Johannes Hölzl, Mario Carneiro, Sébastien Gouëzel
-/
import data.int.interval
import topology.algebra.ordered.compact
import topology.metric_space... |
6dac53f079a61a60497a87da72aa3bc74ee75eb4 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/unsound.lean | 9bc18330634acba61f13a77cbdb334aa74661ac2 | [
"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 | 155 | lean | def foo (h : ∃ x: Nat, True) := h.1
theorem contradiction : False :=
(by decide : 0 ≠ 1) (show foo ⟨0, trivial⟩ = foo ⟨1, trivial⟩ from rfl)
|
ac30c403fe443655a530e178d2e95b6a7b0cb5a9 | bb31430994044506fa42fd667e2d556327e18dfe | /src/number_theory/modular_forms/congruence_subgroups.lean | 3426c626336ec4ff88610135b24600123ed5dd9b | [
"Apache-2.0"
] | permissive | sgouezel/mathlib | 0cb4e5335a2ba189fa7af96d83a377f83270e503 | 00638177efd1b2534fc5269363ebf42a7871df9a | refs/heads/master | 1,674,527,483,042 | 1,673,665,568,000 | 1,673,665,568,000 | 119,598,202 | 0 | 0 | null | 1,517,348,647,000 | 1,517,348,646,000 | null | UTF-8 | Lean | false | false | 7,966 | lean | /-
Copyright (c) 2022 Chris Birkbeck. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Birkbeck
-/
import linear_algebra.special_linear_group
import data.zmod.basic
import group_theory.subgroup.pointwise
import group_theory.group_action.conj_act
/-!
# Congruence su... |
fcd880b094b4d2a1c04e5fb16423b53b1769fdbb | 1abd1ed12aa68b375cdef28959f39531c6e95b84 | /src/data/set/basic.lean | ed271be736e536d2a085793cfb7b778624be3ca6 | [
"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 | 113,257 | 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
-/
import logic.unique
import logic.relation
import order.boolean_algebra
/-!
# Basic properties of sets
Sets in Lean are homogeneous; all their eleme... |
29eb2f472a4c84ab7374c449b0fc84da2ec92ab1 | a45212b1526d532e6e83c44ddca6a05795113ddc | /src/data/set/intervals.lean | a980e12b37a14bd18af99fe8d558858aeab0fb8a | [
"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 | 11,895 | 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
Intervals
Naming conventions:
`i`: infinite
`o`: open
`c`: closed
Each interval has the name `I` + letter for left side + letter... |
661c899076024b572dd9536d20620d848a733227 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/algebra/module/projective.lean | ca4949996259cd421e84755505b9ab1e6bb8673e | [
"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 | 6,840 | lean | /-
Copyright (c) 2021 Kevin Buzzard. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kevin Buzzard
-/
import algebra.module.basic
import linear_algebra.finsupp
import linear_algebra.free_module.basic
/-!
# Projective modules
This file contains a definition of a proj... |
0f945865d2842fa21cc217faf7c6c55f195a2a92 | bb31430994044506fa42fd667e2d556327e18dfe | /src/linear_algebra/basic.lean | 379751730d4b5c9dcdaba6f193673c2e370b2a5f | [
"Apache-2.0"
] | permissive | sgouezel/mathlib | 0cb4e5335a2ba189fa7af96d83a377f83270e503 | 00638177efd1b2534fc5269363ebf42a7871df9a | refs/heads/master | 1,674,527,483,042 | 1,673,665,568,000 | 1,673,665,568,000 | 119,598,202 | 0 | 0 | null | 1,517,348,647,000 | 1,517,348,646,000 | null | UTF-8 | Lean | false | false | 87,597 | 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, Kevin Buzzard, Yury Kudryashov, Frédéric Dupuis,
Heather Macbeth
-/
import algebra.big_operators.pi
import algebra.module.hom
import algebra.module.pr... |
e38772cbe93ada69fcbafbf58c4eb5f06266b120 | c777c32c8e484e195053731103c5e52af26a25d1 | /src/group_theory/commutator.lean | 8d2ca4052460ab0f19bd60205dd6baeb9349fc38 | [
"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 | 9,766 | lean | /-
Copyright (c) 2021 Jordan Brown, Thomas Browning, Patrick Lutz. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jordan Brown, Thomas Browning, Patrick Lutz
-/
import data.bracket
import group_theory.subgroup.finite
import tactic.group
/-!
# Commutators of Subgroups... |
fd688245b31b60207ed40d42a6a4c154896968c6 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/algebra/algebra/spectrum.lean | 457dbacc3e6a68f2cc342c662ae740a6b6af1b4c | [
"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 | 20,696 | lean | /-
Copyright (c) 2021 Jireh Loreaux. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jireh Loreaux
-/
import algebra.star.pointwise
import algebra.star.subalgebra
import field_theory.is_alg_closed.basic
import tactic.noncomm_ring
/-!
# Spectrum of an element in an algeb... |
fc7cbce6e825a670155e429928e008b3bb98e724 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/group_theory/submonoid/operations.lean | ab197c4f79197b7ad76bc6f9b83787e61ccee638 | [
"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 | 45,487 | lean | /-
Copyright (c) 2018 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Kenny Lau, Johan Commelin, Mario Carneiro, Kevin Buzzard,
Amelia Livingston, Yury Kudryashov
-/
import algebra.order.monoid.cancel.basic
import group_theory.group_actio... |
45eced51cf1a556866e9cbfe48d57014b27276b8 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/Lean.lean | 74de8f0ba2fc08c8859bce172e6a356882692092 | [
"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 | 872 | 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.Data
import Lean.Compiler
import Lean.Environment
import Lean.Modifiers
import Lean.ProjFns
import Lean.Runtime
import Lean.ResolveName
import L... |
72b8b1938851849e977900fdc687fca308e307d3 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/playground/seq1.lean | 12b75df05901e8bb57b14078c551a87e71751926 | [
"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 | 825 | lean | abbrev M := ExceptT String $ StateT Nat Id
/- The following instances are not needed, but they speedup the proof -/
instance : Monad M := inferInstance
instance : LawfulMonad M := inferInstance
instance : MonadStateOf Nat M := inferInstance
instance : Bind M := inferInstance
instance : Pure M := inferInstance
syntax ... |
8718f9a9a7b21e8968dacde6dbbce154e722da74 | aa3f8992ef7806974bc1ffd468baa0c79f4d6643 | /tests/lean/run/structure_test.lean | 767f78b39c7bfc08ec2bcbcda267725ad8d80ed2 | [
"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 | 696 | lean | import logic data.sigma
inductive point (A B : Type) :=
mk : Π (x : A) (y : B), point A B
inductive color [class] :=
red, green, blue
constant foo.{l} (A : Type.{l}) [H : decidable_eq A] : Type.{l}
constants a : num
section
universe variable l
variable A : Type.{l}
variable Ha : decidable_eq A
variable E :... |
ba1a3d2cf26a899848d47876dc1007a164a147e2 | 60bf3fa4185ec5075eaea4384181bfbc7e1dc319 | /src/game/sup_inf/infSumSets.lean | c54a4b26890a6e5b4068bad4ff9089d834e4ed17 | [
"Apache-2.0"
] | permissive | anrddh/real-number-game | 660f1127d03a78fd35986c771d65c3132c5f4025 | c708c4e02ec306c657e1ea67862177490db041b0 | refs/heads/master | 1,668,214,277,092 | 1,593,105,075,000 | 1,593,105,075,000 | 264,269,218 | 0 | 0 | null | 1,589,567,264,000 | 1,589,567,264,000 | null | UTF-8 | Lean | false | false | 1,392 | lean | import data.real.basic
namespace xena -- hide
/-
# Chapter 3 : Sup and Inf
## Level 6
This level, very similar to the previous, showcases the infimum.
-/
def sum_of_sets (A : set ℝ) (B : set ℝ) := { x : ℝ | ∃ y ∈ A, ∃ z ∈ B, x = y + z}
/- Lemma
If $A$ and $B$ are sets of reals, then
$$ \textrm{inf} (A + B) = \te... |
ea6674bfaeb65db97c66e657b1e4ac6e6b16a3d8 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/algebra/category/Mon/basic.lean | 133f643d87ea4fa6d50b6663fd1d6945a62b32ea | [] | 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 | 8,152 | lean | /-
Copyright (c) 2018 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.category_theory.concrete_category.bundled_hom
import Mathlib.category_theory.concrete_categ... |
9e9a914e7841b4ef0d8198574fcbeae859bdb0b2 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /library/algebra/category/morphism.lean | 1f3da406ace135a28c3f4f8fcd2d6046908c757a | [
"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 | 11,837 | lean | /-
Copyright (c) 2014 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Floris van Doorn
-/
import .basic algebra.relation algebra.binary
open eq eq.ops category
namespace morphism
variables {ob : Type} [C : category ob] include C
variables {a b c ... |
a0d90bcfe44a34d7e79fd34f178ae178ffbba2ec | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/lake/Lake/Util/Casing.lean | 662c339f6113696a72a8f18c208773d8c41dc668 | [
"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 | 680 | lean | /-
Copyright (c) 2022 Mac Malone. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mac Malone
-/
namespace Lake
open Lean (Name)
/-- Converts a snake case, kebab case, or lower camel case `String` to upper camel case. -/
def toUpperCamelCaseString (str : String) : Strin... |
52797d91f86c6d7305388a9825353ac44107ad5d | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /stage0/src/Lean/Meta/ForEachExpr.lean | dd9997f40f05d949c73ce77df5c8147021e6ef14 | [
"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 | 4,829 | 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.Expr
import Lean.Util.MonadCache
import Lean.Meta.Basic
namespace Lean.Meta
namespace ForEachExpr
abbrev M := MonadCacheT Expr Unit MetaM
mut... |
5c81a6e47b079d2c1ef31f00783603e48c958f63 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/order/atoms.lean | 7435fec154fd2cc32e2b5248ed21c75243e3d7dd | [
"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 | 26,149 | lean | /-
Copyright (c) 2020 Aaron Anderson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Aaron Anderson
-/
import order.complete_boolean_algebra
import order.cover
import order.modular_lattice
import data.fintype.basic
/-!
# Atoms, Coatoms, and Simple Lattices
This modu... |
005093b7aa8e20fdcf3d8e3a3a0f30864b888422 | 271e26e338b0c14544a889c31c30b39c989f2e0f | /src/Init/Lean/Elab.lean | 0f57175a71ad76f092cc9a9a84c81fb8931b215e | [
"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 | 495 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
prelude
import Init.Lean.Elab.Import
import Init.Lean.Elab.Exception
import Init.Lean.Elab.ElabStrategyAttrs
import Init.Lean.Elab.Command
import Init.Lean.... |
77fc3ef18bc5da8c5f9e426ef68277b273f5357b | 491068d2ad28831e7dade8d6dff871c3e49d9431 | /hott/types/prod.hlean | 7d1ae986b090dd678f66c2fbbb94c62169c6910f | [
"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 | 7,600 | hlean | /-
Copyright (c) 2014 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Floris van Doorn
Ported from Coq HoTT
Theorems about products
-/
open eq equiv is_equiv is_trunc prod prod.ops unit equiv.ops
variables {A A' B B' C D : Type} {P Q : A → Type}
... |
f98680cddc509793506572d7d706dff6484365b5 | de44c57911f8f2292d4105ccefe4372f3880a7b7 | /src/ulc.lean | a53d431627e22b1d42efb9f1b8c32bc887c3ff0a | [] | no_license | nyuichi/LeanHOL | 108b1df4daab61b60b0160a7f56cf6b7dd8f57fe | 8190f2d4234f0f39c9e7b5612e552e72ab002798 | refs/heads/master | 1,587,207,990,491 | 1,569,724,629,000 | 1,569,724,629,000 | 167,488,678 | 22 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,847 | lean | -- 1. untyped lambda calculus
-- inductive preterm : Type
-- | lam : (preterm → preterm) → preterm
-- | app : preterm → preterm → preterm
inductive preterm (α : Type) : Type
| var : α → preterm
| lam : (α → preterm) → preterm
| app : preterm → preterm → preterm
open preterm
def Preterm : Type 1 := -- Type 1
Π α, pre... |
bb7b723e4ca971e83dcfdf1c7aac51d7647e0f9b | 1d84cb910096355cbab71b20f7d89a9cdf041587 | /src/basic.lean | 337682d173dacfd446a11b825d9b6d2ede019cab | [] | no_license | owen-fool/Lean_Fundamental_Group | 20625c08eeed79164467453fe1940d841edf1c3a | ed415401c987b907dbe2b78984e7d3200d3e9b6c | refs/heads/main | 1,687,377,470,178 | 1,626,013,175,000 | 1,626,013,175,000 | 384,985,862 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 14,454 | lean | import tactic
import topology.basic topology.path_connected
import lemmas
open classical unit_interval path
open_locale classical unit_interval filter topological_space
noncomputable theory
universes u v w
namespace based
variables (X : Type u) [topological_space X] (x : X)
def loop_space := path x x
structure ho... |
8305d14b0d1d3a4e78a0c7b52c96ccde602b7808 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/algebra/module/graded_module.lean | 969e6d008f87576e882f9d04c452f21209f27e48 | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 9,152 | lean | /-
Copyright (c) 2022 Jujian Zhang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jujian Zhang
-/
import ring_theory.graded_algebra.basic
import algebra.graded_mul_action
import algebra.direct_sum.decomposition
import algebra.module.big_operators
/-!
# Graded Module... |
e584c165832def9f5e416430bc7e33536777a0a8 | 6329dd15b8fd567a4737f2dacd02bd0e8c4b3ae4 | /src/game/world1/level18.lean | 768a695cbfadd9aeec37afceb446c7940a973196 | [
"Apache-2.0"
] | permissive | agusakov/mathematics_in_lean_game | 76e455a688a8826b05160c16c0490b9e3d39f071 | ad45fd42148f2203b973537adec7e8a48677ba2a | refs/heads/master | 1,666,147,402,274 | 1,592,119,137,000 | 1,592,119,137,000 | 272,111,226 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,225 | lean | import data.real.basic --imports the real numbers
import tactic.maths_in_lean_game -- hide
namespace calculating -- hide
/-
#Calculating
## Level 18: `ring` tactic
We close this section by noting that `mathlib` provides a
useful bit of automation with a `ring` tactic,
which is designed to prove identities in any rin... |
23dd3b4d0a95089401a7ebd3575ca3bd99ff8231 | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /src/Std/Data/HashSet.lean | aaf7926749d863c16a21d15f26750c6f69fb44e0 | [
"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 | 6,149 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura
-/
namespace Std
universe u v w
def HashSetBucket (α : Type u) :=
{ b : Array (List α) // b.size > 0 }
def HashSetBucket.update {α : Type u} (data : HashSet... |
81b751034e2ebb3c9c312462c38a42733bf4b38e | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/category_theory/limits/shapes/finite_products.lean | bf31149dfc019a35eb7386f3718bd7f0cb063fc9 | [
"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 | 2,507 | 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 category_theory.limits.shapes.finite_limits
import category_theory.limits.shapes.binary_products
import category_theory.limits.shapes.terminal
universes v u
... |
531bb47c0c43cc34078b2234213f3305f0b78a75 | 624f6f2ae8b3b1adc5f8f67a365c51d5126be45a | /tests/lean/run/sharecommon.lean | b876aa82b2bc221e667c207f6749e42e21ca8fb7 | [
"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 | 3,949 | lean | def check (b : Bool) : ShareCommonT IO Unit :=
unless b $ throw $ IO.userError "check failed"
unsafe def tst1 : ShareCommonT IO Unit := do
let x := [1];
let y := [0].map (fun x => x + 1);
check $ ptrAddrUnsafe x != ptrAddrUnsafe y;
x ← shareCommonM x;
y ← shareCommonM y;
check $ ptrAddrUnsafe x == ptrAddrUnsafe y;
z ←... |
2d1431e52a67521d914dd6fb2a7be451c146bab6 | 59cb0b250f036506a327b29abf0b51ff1efbb0c9 | /src/binary.lean | f33b5d0ec93f1fa8b9abc526f628b6d9b8c88cff | [] | no_license | GeorgeTillisch/coding_theory_lean | ea26861a3d5d8ca897ca50b056d9cae53104bc27 | 920e14b433080854d4248714c93a09ce4e391522 | refs/heads/main | 1,681,707,926,918 | 1,619,008,763,000 | 1,619,008,763,000 | 343,145,352 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 10,377 | lean | import tactic
import data.fintype.card
/-!
# Bits, Binary Words, and Binary Word Matrices
This file contains definitions of bits `B`, binary words `BW`,
and binary word matrices `BWM`.
## Notation
- `O` and `I` for bits 0 and 1.
- `::ᴮ` for the cons constructor for binary words.
- `ᴮ[]` for writing binary words as... |
b86476afe9d0d0bc45545a2fc20b791a8b72b81d | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/algebra/lie/free.lean | 84671c2e4e28ac2b33c20d5d36748817045d493b | [
"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 | 10,881 | lean | /-
Copyright (c) 2021 Oliver Nash. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Oliver Nash
-/
import algebra.lie.of_associative
import algebra.lie.non_unital_non_assoc_algebra
import algebra.lie.universal_enveloping
import algebra.free_non_unital_non_assoc_algebra
... |
b95d4cbcdb899d46076a035a43790c09ce232eaf | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/data/num/lemmas.lean | 49643dda9458f43ed442df825153e07531c76c61 | [
"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 | 50,725 | lean | /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
import data.num.bitwise
import data.int.char_zero
import data.nat.gcd
import data.nat.psub
/-!
# Properties of the binary representation of integers
-/
local... |
3b748e312f8fbcfa7b2333dc389fe3c95e2c71f0 | 1f6fe2f89976b14a4567ab298c35792b21f2e50b | /algebra/submodule.hlean | 980c3754670b726647de45bff1c29feb9b7369cd | [
"Apache-2.0"
] | permissive | jonas-frey/Spectral | e5c1c2f7bcac26aa55f7b1e041a81272a146198d | 72d521091525a4bc9a31cac859840efe9461cf66 | refs/heads/master | 1,610,235,743,345 | 1,505,417,795,000 | 1,505,417,795,000 | 102,653,342 | 0 | 0 | null | 1,504,728,483,000 | 1,504,728,483,000 | null | UTF-8 | Lean | false | false | 19,434 | hlean | /- submodules and quotient modules -/
-- Authors: Floris van Doorn, Jeremy Avigad
import .left_module .quotient_group
open algebra eq group sigma sigma.ops is_trunc function trunc equiv is_equiv property
definition group_homomorphism_of_add_group_homomorphism [constructor] {G₁ G₂ : AddGroup}
(φ : G₁ →a G₂) : G... |
f134f8003809330ddc78b016d6c8157e2c784769 | d9ed0fce1c218297bcba93e046cb4e79c83c3af8 | /library/init/wf.lean | 13994eee69e314012b76d5020b4e4742b101acaa | [
"Apache-2.0"
] | permissive | leodemoura/lean_clone | 005c63aa892a6492f2d4741ee3c2cb07a6be9d7f | cc077554b584d39bab55c360bc12a6fe7957afe6 | refs/heads/master | 1,610,506,475,484 | 1,482,348,354,000 | 1,482,348,543,000 | 77,091,586 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 6,816 | 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
-/
prelude
import init.data.nat.basic init.data.prod
universe variables u v
inductive acc {α : Type u} (r : α → α → Prop) : α → Prop
| intro : ∀ x, (∀ y, r y ... |
23bec1875595e07c1e36a90c201a75453c47ce3f | 798dd332c1ad790518589a09bc82459fb12e5156 | /set_theory/ordinal.lean | 4e289b3fbcb75dc2890ca231c5e4c0cb1689432e | [
"Apache-2.0"
] | permissive | tobiasgrosser/mathlib | b040b7eb42d5942206149371cf92c61404de3c31 | 120635628368ec261e031cefc6d30e0304088b03 | refs/heads/master | 1,644,803,442,937 | 1,536,663,752,000 | 1,536,663,907,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 117,884 | 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... |
629f33e29970f44a4ab40a88ae5158991579c36b | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/analysis/convex/exposed.lean | ce6b1a70651379ae22844d2de4f4c5fa89511616 | [
"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 | 9,360 | 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 analysis.convex.extreme
import analysis.convex.function
import analysis.normed.order.basic
/-!
# Exposed sets
This file defines expos... |
81307c9bc1684e3edc3c3e9099037acfca26ff19 | dd0f5513e11c52db157d2fcc8456d9401a6cd9da | /12_Axioms.org.19.lean | d18cfba67a9faa5523078e2d621166b27992419b | [] | no_license | cjmazey/lean-tutorial | ba559a49f82aa6c5848b9bf17b7389bf7f4ba645 | 381f61c9fcac56d01d959ae0fa6e376f2c4e3b34 | refs/heads/master | 1,610,286,098,832 | 1,447,124,923,000 | 1,447,124,923,000 | 43,082,433 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 977 | lean | import standard
import logic.quantifiers
open subtype nonempty
namespace hide
axiom strong_indefinite_description {A : Type} (P : A → Prop) (H : nonempty A) :
{ x | (∃ y : A, P y) → P x}
noncomputable definition epsilon {A : Type} [H : nonempty A] (P : A → Prop) : A :=
let u : {x | (∃ y, P y) → P x} :=
strong_indefi... |
2e62e8029211e8b514ac382bbd510aa464137771 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/topology/category/Top/open_nhds.lean | fffa7777873b776ff29ae3f24453124e2c7818c4 | [
"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 | 5,273 | lean | /-
Copyright (c) 2019 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import topology.category.Top.opens
/-!
# The category of open neighborhoods of a point
Given an object `X` of the category `Top` of topological spaces and a point `... |
a07e6dc333d688253cf87eb0f6653d6817620998 | 137c667471a40116a7afd7261f030b30180468c2 | /src/category_theory/subobject/limits.lean | 175501994159246dd4dc5a811e1dfb116ff6719f | [
"Apache-2.0"
] | permissive | bragadeesh153/mathlib | 46bf814cfb1eecb34b5d1549b9117dc60f657792 | b577bb2cd1f96eb47031878256856020b76f73cd | refs/heads/master | 1,687,435,188,334 | 1,626,384,207,000 | 1,626,384,207,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 13,948 | lean | /-
Copyright (c) 2020 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Bhavik Mehta, Scott Morrison
-/
import category_theory.subobject.lattice
/-!
# Specific subobjects
We define `equalizer_subobject`, `kernel_subobject` and `image_subobject`, which ar... |
c7392f28f8b3fa3eabd848d3cb8be0e5727b6718 | 57aec6ee746bc7e3a3dd5e767e53bd95beb82f6d | /stage0/src/Init/Data/Int/Basic.lean | ba8bec9fa9c0d5ca8a8c20309105f0220dd80d03 | [
"Apache-2.0"
] | permissive | collares/lean4 | 861a9269c4592bce49b71059e232ff0bfe4594cc | 52a4f535d853a2c7c7eea5fee8a4fa04c682c1ee | refs/heads/master | 1,691,419,031,324 | 1,618,678,138,000 | 1,618,678,138,000 | 358,989,750 | 0 | 0 | Apache-2.0 | 1,618,696,333,000 | 1,618,696,333,000 | null | UTF-8 | Lean | false | false | 4,575 | 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
The integers, with addition, multiplication, and subtraction.
-/
prelude
import Init.Coe
import Init.Data.Nat.Div
import Init.Data.List.Basic
open Nat
... |
051ffdaf06e411b396774f2c942a9e42e0d58013 | 82b86ba2ae0d5aed0f01f49c46db5afec0eb2bd7 | /src/Lean/Environment.lean | ffa3ebcb2d87375f8438237b4101adc10f671e0b | [
"Apache-2.0"
] | permissive | banksonian/lean4 | 3a2e6b0f1eb63aa56ff95b8d07b2f851072d54dc | 78da6b3aa2840693eea354a41e89fc5b212a5011 | refs/heads/master | 1,673,703,624,165 | 1,605,123,551,000 | 1,605,123,551,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 28,633 | 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.Data.SMap
import Lean.Declaration
import Lean.LocalContext
import Lean.Util.Path
import Lean.Util.FindExpr
import Lean.U... |
899fafcb1cdd88d6df1e2fceb99b2bdcf577c559 | b2e508d02500f1512e1618150413e6be69d9db10 | /src/category_theory/limits/shapes/equalizers.lean | aa6567050bfe925365820f6aa264ea33ff0eaf46 | [
"Apache-2.0"
] | permissive | callum-sutton/mathlib | c3788f90216e9cd43eeffcb9f8c9f959b3b01771 | afd623825a3ac6bfbcc675a9b023edad3f069e89 | refs/heads/master | 1,591,371,888,053 | 1,560,990,690,000 | 1,560,990,690,000 | 192,476,045 | 0 | 0 | Apache-2.0 | 1,568,941,843,000 | 1,560,837,965,000 | Lean | UTF-8 | Lean | false | false | 5,244 | lean | -- Copyright (c) 2018 Scott Morrison. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Authors: Scott Morrison
import category_theory.eq_to_hom
import category_theory.limits.cones
open category_theory
namespace category_theory.limits
local attribute [tidy] tactic.case_b... |
98d919446ad5de1436b1a5134019346db1dfa6b7 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/algebra/homology/image_to_kernel.lean | e890a3d2db3012f6a60235888ee47a282f920762 | [
"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 | 15,635 | 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... |
e3c0ba3cd9a8363ab0ce152cd9f3ca608b039a9d | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/order/filter/cofinite_auto.lean | 3a4ba4a3539f436375c7adc8692a326b11b6f990 | [] | 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 | 3,146 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Jeremy Avigad, Yury Kudryashov
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.order.filter.at_top_bot
import Mathlib.PostPort
universes ... |
142cd5c08d31aab522267a32538a97b7e176bc6e | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/lake/Lake/Util/Cycle.lean | 523bd0f16e36198d0280c96a890cad61b72e1fcc | [
"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 | 857 | lean | /-
Copyright (c) 2022 Mac Malone. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mac Malone
-/
namespace Lake
/-- A sequence of calls donated by the key type `κ`. -/
abbrev CallStack κ := List κ
/-- A `CallStack` ending in a cycle. -/
abbrev Cycle κ := CallStack κ
... |
6e4e31b7a0ee98af0ca6ec6d9da1112e594aae47 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/simpcfg.lean | 16c6019c2b8d1041a80438f90e0a7fafad96c29f | [
"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 | 187 | lean | theorem ex6 (f : Nat → Nat) (x y z : Nat) (h : (x, z).1 = (fun x => x) y) : f x = f y := by
simp (config := { beta := false }) at h
trace_state
simp at h
trace_state
simp [h]
|
63622d86b551f7813a181a70e210affc65dc9ec6 | 491068d2ad28831e7dade8d6dff871c3e49d9431 | /library/logic/default.lean | fc251202e3191f4229b1927c5f28de78061d2efd | [
"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 | 262 | 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 logic.eq logic.connectives logic.cast
import logic.quantifiers logic.instances logic.identities
|
117507d1ea0ebb75bb158c5e5564f4dad383f280 | d9ed0fce1c218297bcba93e046cb4e79c83c3af8 | /library/tools/super/lpo.lean | 8dbb239e2392aa9d8a22d9c07adc14cfc2a59328 | [
"Apache-2.0"
] | permissive | leodemoura/lean_clone | 005c63aa892a6492f2d4741ee3c2cb07a6be9d7f | cc077554b584d39bab55c360bc12a6fe7957afe6 | refs/heads/master | 1,610,506,475,484 | 1,482,348,354,000 | 1,482,348,543,000 | 77,091,586 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,517 | lean | /-
Copyright (c) 2016 Gabriel Ebner. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gabriel Ebner
-/
-- Polytime version of lexicographic path order as described in:
-- Things to know when implementing LPO, Bernd Löchner, ESFOR 2004
import .utils
open expr decidable m... |
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