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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
485fef08deb82d5130c23e8673472279480c7ac1 | 6fca17f8d5025f89be1b2d9d15c9e0c4b4900cbf | /src/game/world8/level10.lean | 6108d04fe6abb265b0cc7d4e6a6f654aec15d864 | [
"Apache-2.0"
] | permissive | arolihas/natural_number_game | 4f0c93feefec93b8824b2b96adff8b702b8b43ce | 8e4f7b4b42888a3b77429f90cce16292bd288138 | refs/heads/master | 1,621,872,426,808 | 1,586,270,467,000 | 1,586,270,467,000 | 253,648,466 | 0 | 0 | null | 1,586,219,694,000 | 1,586,219,694,000 | null | UTF-8 | Lean | false | false | 1,879 | lean | import game.world8.level9 -- hide
namespace mynat -- hide
/-
# Advanced Addition World
## Level 10: `add_left_eq_zero`
## Important: the definition of `≠`
In Lean, `a ≠ b` is *defined to mean* `(a = b) → false`.
This means that if you see `a ≠ b` you can *literally treat
it as saying* `(a = b) → false`. Computer s... |
b552b6a883eec4d2947aa45397276a9c5371fbaa | 55c7fc2bf55d496ace18cd6f3376e12bb14c8cc5 | /test/continuity.lean | ab6e8fd858c08494cf66dd9ffde728eff7bc7f3b | [
"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 | 1,826 | lean | import topology.tactic
import topology.algebra.monoid
import topology.instances.real
import analysis.special_functions.trigonometric
example {X Y : Type*} [topological_space X] [topological_space Y]
(f₁ f₂ : X → Y) (hf₁ : continuous f₁) (hf₂ : continuous f₂)
(g : Y → ℝ) (hg : continuous g) : continuous (λ x, (max ... |
b537c68bcec7b86a60c12f51cc7ef63b8c742ce2 | 5ae26df177f810c5006841e9c73dc56e01b978d7 | /src/order/pilex.lean | 5c55edfe00a1f4594d8ee3a9a651e00534482c6a | [
"Apache-2.0"
] | permissive | ChrisHughes24/mathlib | 98322577c460bc6b1fe5c21f42ce33ad1c3e5558 | a2a867e827c2a6702beb9efc2b9282bd801d5f9a | refs/heads/master | 1,583,848,251,477 | 1,565,164,247,000 | 1,565,164,247,000 | 129,409,993 | 0 | 1 | Apache-2.0 | 1,565,164,817,000 | 1,523,628,059,000 | Lean | UTF-8 | Lean | false | false | 4,050 | lean | /-
Copyright (c) 2019 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes
-/
import algebra.order_functions tactic.tauto algebra.pi_instances
variables {ι : Type*} {β : ι → Type*} (r : ι → ι → Prop)
(s : Π {i}, β i → β i → Prop)
def pi.lex (x... |
9f41e8d97c1e32e93df7084de92284ff82e11ba2 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/algebra/lie/basic_auto.lean | 8d80f6d728dc84c21e68427e4e1cd6857314286f | [] | 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 | 116,058 | lean | /-
Copyright (c) 2019 Oliver Nash. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Oliver Nash
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.data.bracket
import Mathlib.algebra.algebra.basic
import Mathlib.linear_algebra.bilinear_form
imp... |
419ddf1f24ed0bb1df0c459708ad03a255e1c50e | e00ea76a720126cf9f6d732ad6216b5b824d20a7 | /src/order/filter/filter_product.lean | 08963ecea223c987749e410adddf43f6218fd052 | [
"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 | 22,854 | lean | /-
Copyright (c) 2019 Abhimanyu Pallavi Sudhir. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Abhimanyu Pallavi Sudhir
"Filterproducts" (ultraproducts on general filters), ultraproducts.
-/
import order.filter.basic
import algebra.pi_instances
universes u v
variable... |
cd7e9095aa0a83f90cd75a87c3784c9c87a7fe7e | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/tactic/norm_fin.lean | 287ec82dbd425a4fde7faa7cbe3776b3e5f781e4 | [
"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 | 25,252 | lean | /-
Copyright (c) 2021 Yakov Pechersky All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yakov Pechersky, Mario Carneiro
-/
import tactic.norm_num
/-!
# `norm_fin`
This file defines functions for dealing with `fin n` numbers as expressions.
## Main definitions
* `tact... |
f44ea00265a8c758d478b92e7346119475d79ce9 | 54deab7025df5d2df4573383df7e1e5497b7a2c2 | /data/nat/basic.lean | bead24fdaad044a6fbb1e16e138647d25fe88ece | [
"Apache-2.0"
] | permissive | HGldJ1966/mathlib | f8daac93a5b4ae805cfb0ecebac21a9ce9469009 | c5c5b504b918a6c5e91e372ee29ed754b0513e85 | refs/heads/master | 1,611,340,395,683 | 1,503,040,489,000 | 1,503,040,489,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,169 | lean | /-
Copyright (c) 2014 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn, Leonardo de Moura, Jeremy Avigad, Mario Carneiro
Basic operations on the natural numbers.
-/
import logic.basic
universe u
namespace nat
protected theorem eq_mu... |
4bd6e37997d3df429835067f4aeb3541ec47eb3a | 4727251e0cd73359b15b664c3170e5d754078599 | /src/measure_theory/function/strongly_measurable_lp.lean | 571c39a8569c09659af5ad8c46b0fb78aec94a35 | [
"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 | 2,701 | lean | /-
Copyright (c) 2022 Rémy Degenne. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Rémy Degenne
-/
import measure_theory.function.simple_func_dense_lp
import measure_theory.function.strongly_measurable
/-!
# Finitely strongly measurable functions in `Lp`
Functions i... |
9fec60733a75c462e31f7abc8a35816d277454a3 | 750acab0c635b67751bcfec43c5411aa3941c441 | /qlambda.lean | dfad233aeb3ff27f4d2fa0b85892ba67ba00f5b3 | [] | no_license | nthomas103/lean_work | 912f8e662cdd73ba97f5d3655ddb8a5d2cd204c9 | 7e9785cae2b60a77b41922fd5d5b159a1fae415c | refs/heads/master | 1,586,739,169,355 | 1,455,759,226,000 | 1,455,759,226,000 | 50,978,095 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,149 | lean | /-
Copyright (c) 2015 Nathaniel Thomas. All rights reserved.
Author: Nathaniel Thomas
Formalization of "Quantum Lambda Calculus" paper by Selinger and Valiron.
-/
import data.nat data.examples.vector algebra.group_bigops data.fin data.list
open fin nat list
variables (unitary_group : Type)
inductive vid := | Id : na... |
e6fe170fdf4d0f76a0fa82fd91d04fbb6fbe7a39 | f48f9146c4bc67fe129f288ed39bc735df1bf709 | /src/js/backend.lean | 1e0e60b8b6da06e862e0397a324f340710cb30e5 | [] | no_license | jroesch/lean.js | 28c01c79032f1cb0d9983cb97cdcd26cdacd30c8 | 117b415274da32cced98ee8278e06b310fb45ba0 | refs/heads/master | 1,611,062,506,493 | 1,487,497,615,000 | 1,487,497,615,000 | 82,379,692 | 2 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 357 | lean | import tools.native
import tools.native.ir
import system.io
import .format
import tools.debugger
set_option debugger true
set_option debugger.autorun true
meta def js_compiler : native.ir.context → io unit :=
fun ctxt, write_file "out.js" (format_js.program (ctxt^.to_items))
@[backend] meta def js_backend : ir.... |
c4dc52428b463cd1bbdefcd9e452a37587c377c7 | 3618c6e11aa822fd542440674dfb9a7b9921dba0 | /scratch/for_mathlib/coprod/subgroup.lean | feb6c47d55ff8d681e8caeae32f0f39201b2f591 | [] | no_license | ChrisHughes24/single_relation | 99ceedcc02d236ce46d6c65d72caa669857533c5 | 057e157a59de6d0e43b50fcb537d66792ec20450 | refs/heads/master | 1,683,652,062,698 | 1,683,360,089,000 | 1,683,360,089,000 | 279,346,432 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,975 | lean | import .basic group_theory.subgroup
variables {ι : Type*} {G : ι → Type*}
variables [decidable_eq ι] [Π i, decidable_eq (G i)]
variables [Π i, group (G i)]
open coprod subgroup function
lemma mul_aux_mem (S : Π i, subgroup (G i)) : ∀ (l₁ l₂ : list (Σ i, G i))
(h₁ : ∀ a : Σ i, G i, a ∈ l₁ → a.2 ∈ S a.1)
(h₂ : ∀ ... |
313969d72a75f9c134c86ac45b8fa0422b2c5480 | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /tests/lean/sizeof.lean | ac30de9c068898eec0599b544c4d41dd67e2a4ba | [
"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 | 465 | lean | -- Recall that we do not generate code for `sizeOf` instances since they are only used for proving termination
#reduce sizeOf 10
#reduce sizeOf [1, 2]
#reduce sizeOf #[1, 2]
#reduce sizeOf (10 : UInt8)
#reduce sizeOf 'a'
#reduce sizeOf ['h', 'e', 'l', 'l', 'o']
#reduce sizeOf "abc"
#reduce sizeOf `abc
inductive InfTr... |
c07dd9550d492ba47943b93a1de4bd31e31fc33b | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /library/data/bool.lean | 37496b500c08507a6ff39906b9e81f3a68e87f98 | [
"Apache-2.0"
] | permissive | soonhokong/lean-osx | 4a954262c780e404c1369d6c06516161d07fcb40 | 3670278342d2f4faa49d95b46d86642d7875b47c | refs/heads/master | 1,611,410,334,552 | 1,474,425,686,000 | 1,474,425,686,000 | 12,043,103 | 5 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 4,500 | 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
-/
import logic.eq
namespace bool
local attribute bor [reducible]
local attribute band [reducible]
theorem dichotomy (b : bool) : b = ff ∨ b = tt :=
s... |
c852ee6bbcee5ba64944217c7e59955235858724 | 6b66bef80b7e8adaed86c183cf24aa8f92f20803 | /LeanTools/FindBug.lean | 86ce6e19bd043d7545ff620a83009135956fc2e1 | [
"MIT"
] | permissive | JasonGross/lean-tools | f5495e6a24061a2f268fd0871c88cb4ece8d3355 | 110f63934b9d8c9088b0a944a38ed975b740a507 | refs/heads/main | 1,679,568,529,028 | 1,616,441,204,000 | 1,616,441,204,000 | 349,493,484 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,599 | lean | import Lean.Elab.Import
import Lean.Elab.Command
import Lean.Util.Profile
import Lean.Elab.Frontend
import Lean.Server.Snapshots
import Init.System.IO
-- import Cli
def List.takeOpt : Option Nat → List α → List α
| Option.none, ls => ls
| Option.some n, ls => ls.take n
namespace Lean.MessageSeverity
deriving inst... |
1b15832b3d92dccd964294f44ad9a09d5233f460 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/category_theory/essentially_small.lean | 5e27faf4b0f63319f0517c932e3e9dfad1c1b59c | [
"Apache-2.0"
] | permissive | Vierkantor/mathlib | 0ea59ac32a3a43c93c44d70f441c4ee810ccceca | 83bc3b9ce9b13910b57bda6b56222495ebd31c2f | refs/heads/master | 1,658,323,012,449 | 1,652,256,003,000 | 1,652,256,003,000 | 209,296,341 | 0 | 1 | Apache-2.0 | 1,568,807,655,000 | 1,568,807,655,000 | null | UTF-8 | Lean | false | false | 7,161 | 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 logic.small
import category_theory.skeletal
/-!
# Essentially small categories.
A category given by `(C : Type u) [category.{v} C]` is `w`-essentially small
... |
41daa2450087dce35be25021d9a8d80b191983aa | 302c785c90d40ad3d6be43d33bc6a558354cc2cf | /src/data/set/finite.lean | f3fa9e55742ced979058ab93ece341f2c72dbf33 | [
"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 | 29,091 | 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 data.fintype.basic
/-!
# Finite sets
This file defines predicates `finite : set α → Prop` and `infinite : set α → Prop` and proves some
basic... |
b1b25f32586b2f08208df6660318484603377944 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/trace_tst.lean | ac604522d1455bedb3b6142e3fcdc8405a9c5be3 | [
"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 | 55 | lean | open nat
#eval trace "step1" (trace "hello" (succ 3))
|
f511e30455e73ab0188583a5ea2fa73f633e1b29 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/topology/metric_space/gluing.lean | a44560077951615f23e72288ad8796e6f42d7851 | [
"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 | 23,747 | 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 topology.metric_space.isometry
/-!
# Metric space gluing
Gluing two metric spaces along a common subset. Formally, we are given
```
Φ
Z ---> X
... |
7cafe067dacd5251d7bb24e15dff8c8dcc71a4b9 | 572fb32b6f5b7c2bf26921ffa2abea054cce881a | /src/week_3/Part_A_limits.lean | 91cc67b71072f622c1ef640fc170cd90632fd5b7 | [
"Apache-2.0"
] | permissive | kgeorgiy/lean-formalising-mathematics | 2deb30756d5a54bee1cfa64873e86f641c59c7dc | 73429a8ded68f641c896b6ba9342450d4d3ae50f | refs/heads/master | 1,683,029,640,682 | 1,621,403,041,000 | 1,621,403,041,000 | 367,790,347 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 28,043 | lean | -- need the real numbers
import data.real.basic
-- need the tactics
import tactic
/-
# Limits
We develop a theory of limits of sequences a₀, a₁, a₂, … of reals,
following the way is it traditionally done in a first year undergraduate
mathematics course.
## Overview of the file
This file contains the basic definiti... |
3e1225a2e99da2c0d2e748c9dd8d9b136961ecf4 | 7cef822f3b952965621309e88eadf618da0c8ae9 | /src/set_theory/zfc.lean | 1e3e1011f614a0005f8bc5f2d3d39d9660f6e040 | [
"Apache-2.0"
] | permissive | rmitta/mathlib | 8d90aee30b4db2b013e01f62c33f297d7e64a43d | 883d974b608845bad30ae19e27e33c285200bf84 | refs/heads/master | 1,585,776,832,544 | 1,576,874,096,000 | 1,576,874,096,000 | 153,663,165 | 0 | 2 | Apache-2.0 | 1,544,806,490,000 | 1,539,884,365,000 | Lean | UTF-8 | Lean | false | false | 30,018 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Mario Carneiro
A model of ZFC in Lean.
-/
import data.set.basic
universes u v
/-- The type of `n`-ary functions `α → α → ... → α`. -/
def arity (α : Type u) : nat → Type u
| 0 :=... |
2fcffb2e20ae75c89e075ae542fae6e3802c2b35 | 097294e9b80f0d9893ac160b9c7219aa135b51b9 | /instructor/propositional_logic/propositional_with_vars_1.lean | 2304c4084d3394875d6549e360913aec901ab5c8 | [] | no_license | AbigailCastro17/CS2102-Discrete-Math | cf296251be9418ce90206f5e66bde9163e21abf9 | d741e4d2d6a9b2e0c8380e51706218b8f608cee4 | refs/heads/main | 1,682,891,087,358 | 1,621,401,341,000 | 1,621,401,341,000 | 368,749,959 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,241 | lean |
/-
Propositional logic.
-/
/-
Propositions.
P: Kevin Is at Home.
Q: It's warm outside.
If P and Q are propositions, then so are
- not P
- P and Q
- P or Q
- P implies Q
-/
/-
Syntax -- defines set of well formed expressions.
We formalize syntax as an inductive data type.
Expressions are then just values of this... |
d1ad1657f8f52bcbf9e704f611bfaa948be85ff3 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/measure_theory/simple_func_dense_auto.lean | a47d3dd85daaec367c7ecddfabb0c899073d53de | [] | 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 | 10,124 | lean | /-
Copyright (c) 2019 Zhouhang Zhou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Zhouhang Zhou, Yury Kudryashov
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.measure_theory.l1_space
import Mathlib.PostPort
universes u_1 u_2 u_3 u_4
... |
1d66c3b9841c5c6b93c53593a5f3f5e66a16e8d1 | 491068d2ad28831e7dade8d6dff871c3e49d9431 | /library/algebra/ordered_field.lean | c92d76ac58a0f1f38551e23897b96d669092e6cd | [
"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 | 20,110 | lean | /-
Copyright (c) 2014 Robert Lewis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Robert Lewis
-/
import algebra.ordered_ring algebra.field
open eq eq.ops
namespace algebra
structure linear_ordered_field [class] (A : Type) extends linear_ordered_ring A, field A
sec... |
b13ed84d97551fe8ff4a99e41eaf821c0b78eeee | d6124c8dbe5661dcc5b8c9da0a56fbf1f0480ad6 | /Papyrus/IR/GlobalModifiers.lean | 084d348f4471a75ba360e66e4e429ca28a50b155 | [
"Apache-2.0"
] | permissive | xubaiw/lean4-papyrus | c3fbbf8ba162eb5f210155ae4e20feb2d32c8182 | 02e82973a5badda26fc0f9fd15b3d37e2eb309e0 | refs/heads/master | 1,691,425,756,824 | 1,632,122,825,000 | 1,632,123,075,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 6,269 | lean | namespace Papyrus
--------------------------------------------------------------------------------
-- # Linkage
--------------------------------------------------------------------------------
/--
The linkage kind of a global.
It is illegal for a global variable or function *declaration* to have any
linkage t... |
03a1dbade110914ab8b86b0e1c4953f2db5db547 | 82e44445c70db0f03e30d7be725775f122d72f3e | /src/testing/slim_check/sampleable.lean | 37820c1ee84a89fc2f2c758d2cd214bda1ef99e8 | [
"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 | 31,382 | lean | /-
Copyright (c) 2020 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon
-/
import data.lazy_list.basic
import data.tree
import data.int.basic
import control.bifunctor
import tactic.linarith
import testing.slim_check.gen
/-!
# `sampleable` Class
... |
14ba1f607fb6b58dbbdacd34e36ef3fe8aa14c66 | 624f6f2ae8b3b1adc5f8f67a365c51d5126be45a | /stage0/src/Init/Lean/Compiler/IR/Format.lean | 9fe9a5ea0ebbae708a077beeada5b5eec538c465 | [
"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 | 7,078 | 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.Data.Format
import Init.Lean.Compiler.IR.Basic
namespace Lean
namespace IR
private def formatArg : Arg → Format
| Arg.var id ... |
b1375186f1f2556d9d0c7a110a2d7bec58589188 | 94e33a31faa76775069b071adea97e86e218a8ee | /src/probability/strong_law.lean | 441688403a213074f97ebf4d69a56c4e92d55f97 | [
"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 | 35,218 | lean | /-
Copyright (c) 2022 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import probability.ident_distrib
import measure_theory.function.l2_space
import measure_theory.integral.interval_integral
import analysis.specific_limits.floor... |
3e29ad1c9037490161e447d4675de76c53201b53 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/number_theory/primorial.lean | 2c4354995fe5235c86317e4bcc9c9c2391cd9a59 | [
"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 | 5,840 | lean | /-
Copyright (c) 2020 Patrick Stevens. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Patrick Stevens
-/
import algebra.big_operators.associated
import data.nat.choose.sum
import data.nat.parity
import tactic.ring_exp
/-!
# Primorial
This file defines the primorial f... |
5287124e60a207b1bb9ac8bbc533cb5637010567 | 3446e92e64a5de7ed1f2109cfb024f83cd904c34 | /src/game/world2/level11.lean | 71a99d94f91020e10e9b20291d41fa152591b562 | [] | no_license | kckennylau/natural_number_game | 019f4a5f419c9681e65234ecd124c564f9a0a246 | ad8c0adaa725975be8a9f978c8494a39311029be | refs/heads/master | 1,598,784,137,722 | 1,571,905,156,000 | 1,571,905,156,000 | 218,354,686 | 0 | 0 | null | 1,572,373,319,000 | 1,572,373,318,000 | null | UTF-8 | Lean | false | false | 1,330 | lean | import mynat.definition -- hide
import mynat.add -- hide
import game.world2.level10 -- hide
namespace mynat -- hide
/-
# World 2 -- Addition World
## Level 11 -- `add_right_cancel_iff`
You have (amongst other things) these:
* `zero_ne_succ : ∀ (a : mynat), zero ≠ succ(a)`
* `succ_inj : ∀ a b : mynat, succ(a) =... |
6037c426bcbb9b2ee484f2e552fdf7e26cc40db2 | 4efff1f47634ff19e2f786deadd394270a59ecd2 | /src/order/conditionally_complete_lattice.lean | 0f4a9dba53242daea0bf67cf96df0c4407ec22a0 | [
"Apache-2.0"
] | permissive | agjftucker/mathlib | d634cd0d5256b6325e3c55bb7fb2403548371707 | 87fe50de17b00af533f72a102d0adefe4a2285e8 | refs/heads/master | 1,625,378,131,941 | 1,599,166,526,000 | 1,599,166,526,000 | 160,748,509 | 0 | 0 | Apache-2.0 | 1,544,141,789,000 | 1,544,141,789,000 | null | UTF-8 | Lean | false | false | 28,883 | lean | /-
Copyright (c) 2018 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import data.nat.enat
/-!
# Theory of conditionally complete lattices.
A conditionally complete lattice is a lattice in which every non-empty bounded subset s
... |
82cb9d0c34ec97b6390ce67b1f489c9c5496d33f | 4727251e0cd73359b15b664c3170e5d754078599 | /src/topology/continuous_function/locally_constant.lean | 6c77ca5939f662685458d8a7ded569e99bff96e5 | [
"Apache-2.0"
] | permissive | Vierkantor/mathlib | 0ea59ac32a3a43c93c44d70f441c4ee810ccceca | 83bc3b9ce9b13910b57bda6b56222495ebd31c2f | refs/heads/master | 1,658,323,012,449 | 1,652,256,003,000 | 1,652,256,003,000 | 209,296,341 | 0 | 1 | Apache-2.0 | 1,568,807,655,000 | 1,568,807,655,000 | null | UTF-8 | Lean | false | false | 1,851 | 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 topology.locally_constant.algebra
import topology.continuous_function.basic
import topology.continuous_function.algebra
/-!
# The algebra morphism from locally cons... |
8b13c0010a94f9163584e6734626a54015fdf6dd | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/number_theory/liouville/liouville_number.lean | 5af7ad7379eaef13f1ab257b0f3fc6dc6fc3f56d | [
"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 | 8,260 | lean | /-
Copyright (c) 2020 Jujian Zhang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Damiano Testa, Jujian Zhang
-/
import number_theory.liouville.basic
/-!
# Liouville constants
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file require a correspond... |
7f97b5fcd3844908e1ea5d80222f0cdf540967ee | 26ac254ecb57ffcb886ff709cf018390161a9225 | /src/order/filter/lift.lean | ebe8c332e90269d946e640761a539cfb55dc1f48 | [
"Apache-2.0"
] | permissive | eric-wieser/mathlib | 42842584f584359bbe1fc8b88b3ff937c8acd72d | d0df6b81cd0920ad569158c06a3fd5abb9e63301 | refs/heads/master | 1,669,546,404,255 | 1,595,254,668,000 | 1,595,254,668,000 | 281,173,504 | 0 | 0 | Apache-2.0 | 1,595,263,582,000 | 1,595,263,581,000 | null | UTF-8 | Lean | false | false | 16,421 | lean | /-
Copyright (c) 2019 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
Lift filters along filter and set functions.
-/
import order.filter.basic
open set
open_locale classical filter
namespace filter
variables {α : Type*} {β : Type*} {γ... |
7e75bfcbd33859b969c46e7f3c57f333501e75d7 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/set_theory/game/domineering.lean | 681ca2dc1d1b7eac584b9f2be155a2d0c9549ffe | [] | no_license | AurelienSaue/Mathlib4_auto | f538cfd0980f65a6361eadea39e6fc639e9dae14 | 590df64109b08190abe22358fabc3eae000943f2 | refs/heads/master | 1,683,906,849,776 | 1,622,564,669,000 | 1,622,564,669,000 | 371,723,747 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,200 | 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 Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.set_theory.game.state
import Mathlib.PostPort
namespace Mathlib
/-!
# Domineering as a co... |
12f28bc635ce507ccb72ab1cbf13a51d4a7ee854 | 7cef822f3b952965621309e88eadf618da0c8ae9 | /src/data/list/defs.lean | 9a6bb92a9e351e6466fc305856eb86913aa68796 | [
"Apache-2.0"
] | permissive | rmitta/mathlib | 8d90aee30b4db2b013e01f62c33f297d7e64a43d | 883d974b608845bad30ae19e27e33c285200bf84 | refs/heads/master | 1,585,776,832,544 | 1,576,874,096,000 | 1,576,874,096,000 | 153,663,165 | 0 | 2 | Apache-2.0 | 1,544,806,490,000 | 1,539,884,365,000 | Lean | UTF-8 | Lean | false | false | 20,081 | 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
Extra definitions on lists.
-/
import data.option.defs logic.basic tactic.cache
namespace list
... |
87cd61a6f5a300ef92e3ad019d04dd361e1e81b7 | 947fa6c38e48771ae886239b4edce6db6e18d0fb | /src/algebraic_geometry/AffineScheme.lean | 86f196c957aad952d4e25ac1cabe67fa7ec0d426 | [
"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 | 32,500 | lean | /-
Copyright (c) 2022 Andrew Yang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Andrew Yang
-/
import algebraic_geometry.Gamma_Spec_adjunction
import algebraic_geometry.open_immersion
import category_theory.limits.opposites
import ring_theory.localization.inv_submono... |
cdc435339ae3fba4a4d3b9f03847685672f04a4b | e39f04f6ff425fe3b3f5e26a8998b817d1dba80f | /order/filter.lean | 463c5dab3f6de650e52d64d24743305779d43083 | [
"Apache-2.0"
] | permissive | kristychoi/mathlib | c504b5e8f84e272ea1d8966693c42de7523bf0ec | 257fd84fe98927ff4a5ffe044f68c4e9d235cc75 | refs/heads/master | 1,586,520,722,896 | 1,544,030,145,000 | 1,544,031,933,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 93,971 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
Theory of filters on sets.
-/
import order.galois_connection order.zorn
import data.set.finite data.list
import category.applicative
open lattice set
universes u v w x... |
352c23a7c93404812b7cb1592aff32d3d69b81c7 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/string_imp2.lean | 80dff0c48d3646d2687c13153995f75448d45e92 | [
"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 | 2,191 | lean | def f (s : String) : String :=
s ++ " " ++ s
def g (s : String) : String :=
s.push ' ' ++ s.push '-'
def h (s : String) : String :=
let it₁ := s.mkIterator;
let it₂ := it₁.next;
it₁.remainingToString ++ "-" ++ it₂.remainingToString
#eval "hello" ++ "hello"
#eval f "hello"
#eval (f "αβ").length
#eval "hello".toList
#... |
1028774bb2af69a36b753bf9a07a1f8555e62787 | 618003631150032a5676f229d13a079ac875ff77 | /src/analysis/normed_space/banach.lean | 205af68af9188def6c10ce8e419d2a1d76d900c6 | [
"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 | 11,993 | 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 topology.metric_space.baire
import analysis.normed_space.operator_norm
/-!
# Banach open mapping theorem
This file contains the Banach open mapping the... |
e411790f509b2692fda96e9acf65c87fa81f9950 | 2a70b774d16dbdf5a533432ee0ebab6838df0948 | /_target/deps/mathlib/src/data/nat/gcd.lean | a827dad5fa91c9e2f5b4f87f1b580af1357e1021 | [
"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 | 16,324 | 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 data.nat.basic
/-!
# Definitions and properties of `gcd`, `lcm`, and `coprime`
-/
namespace nat
/-! ### `gcd` -/
theorem gcd_dvd (m n : ℕ... |
872a1a499de0c68152d00bd2f793c082d530e2c1 | 5ae26df177f810c5006841e9c73dc56e01b978d7 | /src/topology/metric_space/baire.lean | 9380f2521e601468de526a7e66bc40138343acf8 | [
"Apache-2.0"
] | permissive | ChrisHughes24/mathlib | 98322577c460bc6b1fe5c21f42ce33ad1c3e5558 | a2a867e827c2a6702beb9efc2b9282bd801d5f9a | refs/heads/master | 1,583,848,251,477 | 1,565,164,247,000 | 1,565,164,247,000 | 129,409,993 | 0 | 1 | Apache-2.0 | 1,565,164,817,000 | 1,523,628,059,000 | Lean | UTF-8 | Lean | false | false | 15,236 | lean | /-
Copyright (c) 2019 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
Baire theorem: in a complete metric space, a countable intersection of dense open subsets is dense.
The good concept underlying the theorem is that of a Gδ set, ... |
6c5c0d1690a20c447dbee9793b75ecb372354b0b | 4b846d8dabdc64e7ea03552bad8f7fa74763fc67 | /tests/lean/run/meta_level1.lean | 9f3e5fa00146866a6f93def4adfdecb415563c71 | [
"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 | 949 | lean | import system.io
open io
#eval do pp (level.max (level.succ level.zero) (level.param `foo)), put_str "\n"
#eval level.normalize (level.succ (level.max (level.max level.zero (level.succ level.zero)) (level.param `l₁)))
#eval level.imax (level.mvar `m) (level.of_nat 10)
#eval if level.zero = level.zero then "eq" else ... |
e8a2489d75aec0aadabf210ef61e39dfdaab8b8a | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/discrRefinement2.lean | 56ee80495d88facdd6c8e79892c27cc6b7d531d0 | [
"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 | 975 | lean | infix:50 " ≅ " => HEq
theorem ex1 {α : Sort u} {a b : α} (h : a ≅ b) : a = b :=
match h with
| HEq.refl _ => rfl
theorem ex2 {α : Sort u2} {a : α} {motive : {β : Sort u2} → β → Sort u1} (m : motive a) {β : Sort u2} {b : β} (h : a ≅ b) : motive b :=
match h, m with
| HEq.refl _, m => m
theorem ex3 {α : Sort u... |
50be96c961f8a2b12718d216ead14df84ff9d171 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/data/polynomial/monic.lean | 86e959970fdc9604b73ff6a1f42c7635beaa950a | [
"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 | 17,947 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Johannes Hölzl, Scott Morrison, Jens Wagemaker
-/
import data.polynomial.reverse
import algebra.associated
import algebra.regular.smul
/-!
# Theory of monic polynomials
W... |
f16f722b34f574cce6b0bad12f40e46e318ecab2 | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /tests/bench/liasolver.lean | 1bce91cd567e150389afae708a7e8b5cb829d0dc | [
"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 | 13,875 | lean | /-
Linear Diophantine equation solver
Author: Marc Huisinga
-/
import Std.Data.HashMap
open Std
namespace Int
def roundedDiv (a b : Int) : Int := Id.run <| do
let mut div := a / b
let sgn := if a ≥ 0 ∧ b ≥ 0 ∨ a < 0 ∧ b < 0 then 1 else -1
let rest := (a % b).natAbs
if 2*rest ≥ b.n... |
e9d9de9719ef0de48ce9d4ddc09eb45ffabda7ee | 36c7a18fd72e5b57229bd8ba36493daf536a19ce | /library/data/real/basic.lean | 4acabb989e7efd2e0267a95ca7ff05a4866f764b | [
"Apache-2.0"
] | permissive | YHVHvx/lean | 732bf0fb7a298cd7fe0f15d82f8e248c11db49e9 | 038369533e0136dd395dc252084d3c1853accbf2 | refs/heads/master | 1,610,701,080,210 | 1,449,128,595,000 | 1,449,128,595,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 42,810 | lean | /-
Copyright (c) 2015 Robert Y. Lewis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Robert Y. Lewis
The real numbers, constructed as equivalence classes of Cauchy sequences of rationals.
This construction follows Bishop and Bridges (1985).
The construction of the rea... |
efeb4bc0fbad77e59f00b7e1306b3208e92092e1 | 5ae26df177f810c5006841e9c73dc56e01b978d7 | /src/analysis/complex/exponential.lean | 555d7380d6a0a3de20b1aa63b144d0813299f176 | [
"Apache-2.0"
] | permissive | ChrisHughes24/mathlib | 98322577c460bc6b1fe5c21f42ce33ad1c3e5558 | a2a867e827c2a6702beb9efc2b9282bd801d5f9a | refs/heads/master | 1,583,848,251,477 | 1,565,164,247,000 | 1,565,164,247,000 | 129,409,993 | 0 | 1 | Apache-2.0 | 1,565,164,817,000 | 1,523,628,059,000 | Lean | UTF-8 | Lean | false | false | 60,392 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Abhimanyu Pallavi Sudhir, Jean Lo, Calle Sönne
-/
import topology.instances.complex tactic.linarith data.complex.exponential
group_theory.quotient_group topology.metr... |
9b2b867bbd5316995583adaa3c3415474fe9fe8b | 5883d9218e6f144e20eee6ca1dab8529fa1a97c0 | /src/data/fresh.lean | 94842c60b004b5022abe127e5a88259bc1036d9a | [] | no_license | spl/alpha-conversion-is-easy | 0d035bc570e52a6345d4890e4d0c9e3f9b8126c1 | ed937fe85d8495daffd9412a5524c77b9fcda094 | refs/heads/master | 1,607,649,280,020 | 1,517,380,240,000 | 1,517,380,240,000 | 52,174,747 | 4 | 0 | null | 1,456,052,226,000 | 1,456,001,163,000 | Lean | UTF-8 | Lean | false | false | 661 | lean | /-
This file defines the `has_fresh` class.
-/
universes u v
-- A type class of operations that give a fresh element, an element that is
-- not a member of the given finite set.
--
-- The class is dependent on the element type, because that type can determine
-- how the fresh element is found.
class has_fresh (A : ... |
af79e5f89b5903075ce50f5940d07ffa32237a25 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/order/complete_boolean_algebra.lean | 4a4a28c91615c317dea92514ffd28b0d8b8ec105 | [
"Apache-2.0"
] | permissive | AntoineChambert-Loir/mathlib | 64aabb896129885f12296a799818061bc90da1ff | 07be904260ab6e36a5769680b6012f03a4727134 | refs/heads/master | 1,693,187,631,771 | 1,636,719,886,000 | 1,636,719,886,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 6,393 | 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.complete_lattice
/-!
# Completely distributive lattices and Boolean algebras
In this file there are definitions and an API for completely distributive ... |
fa8ffdb45b3de48aabc1e18fd58a22d042e13d22 | 432d948a4d3d242fdfb44b81c9e1b1baacd58617 | /src/data/list/basic.lean | 0de3446dd026a95178dc5074a3079832cdfe6683 | [
"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 | 196,566 | 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 ... |
b5f9691e6c82135dd55b8587d55014224391b184 | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /tests/lean/run/341.lean | 531f212bf334d7581ccf32157f05b91f7cc4ffeb | [
"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 | 4,841 | lean | section
variable (G : Type 1) (T : Type 1) (Tm : Type 1)
(EG : G → G → Type) (ET : T → T → Type) (ETm : Tm → Tm → Type)
(getCtx : T → G) (getTy : Tm → T)
inductive CtxSyntaxLayer where
| emp : CtxSyntaxLayer
| snoc : (Γ : G) → (t : T) → EG Γ (getCtx t) → CtxSyntaxLayer
end
section
va... |
4678ecc6fee1bb73336662581cbe5ec26faeb9e0 | bb31430994044506fa42fd667e2d556327e18dfe | /src/linear_algebra/affine_space/affine_equiv.lean | 72b42e85a3e299fed0501d1e0a7322944b5e7dfd | [
"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 | 18,568 | 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 linear_algebra.affine_space.affine_map
import algebra.invertible
/-!
# Affine equivalences
In this file we define `affine_equiv k P₁ P₂` (notation: `... |
536072295edb2a76147fa91796d938ea34514a1e | 55c7fc2bf55d496ace18cd6f3376e12bb14c8cc5 | /src/category_theory/monoidal/category.lean | 535acd09a3d0ceaca41a66442391a2fc9fe2fa90 | [
"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 | 17,782 | 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
-/
import category_theory.products.basic
open category_theory
universes v u
open category_theory
open category_theory.category
open category_the... |
053689b23cece1a039d70d28eb4d5cd7cf7a5287 | bb31430994044506fa42fd667e2d556327e18dfe | /src/measure_theory/integral/integrable_on.lean | 95432b32f04f5ee6eca35c3d2f819cf6d581af1a | [
"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 | 22,882 | lean | /-
Copyright (c) 2021 Rémy Degenne. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Zhouhang Zhou, Yury Kudryashov
-/
import measure_theory.function.l1_space
import analysis.normed_space.indicator_function
/-! # Functions integrable on a set and at a filter
We define... |
250b50c1896fa01abf57da6ae720eab11f609d3f | 38bf3fd2bb651ab70511408fcf70e2029e2ba310 | /src/category/functor.lean | 42e1cc09508de9da6a710438c4515bf91fa22079 | [
"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 | 4,308 | lean | /-
Copyright (c) 2017 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Simon Hudon
Standard identity and composition functors
-/
import tactic.ext tactic.sanity_check category.basic
universe variables u v w
section functor
variables {F : Type u → Type v}
... |
2b74e3d90cbd8b1f9a7f4be25a8e49523c05cacf | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/tactic/chain.lean | ce6fa125282541dc03f0b500e416233e5642e861 | [
"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 | 4,137 | lean | /-
Copyright (c) 2018 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison, Mario Carneiro
-/
import tactic.ext
open interactive
namespace tactic
/-
This file defines a `chain` tactic, which takes a list of tactics,
and exhaustively tries to... |
3715e1a64afd16ef8b1f0a05f6256d1c6971dcee | d1a52c3f208fa42c41df8278c3d280f075eb020c | /tests/lean/run/typeAscImp.lean | 8b25de924f41424a9bd66971c0ad563aaf793b73 | [
"Apache-2.0",
"LLVM-exception",
"NCSA",
"LGPL-3.0-only",
"LicenseRef-scancode-inner-net-2.0",
"BSD-3-Clause",
"LGPL-2.0-or-later",
"Spencer-94",
"LGPL-2.1-or-later",
"HPND",
"LicenseRef-scancode-pcre",
"ISC",
"LGPL-2.1-only",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | cipher1024/lean4 | 6e1f98bb58e7a92b28f5364eb38a14c8d0aae393 | 69114d3b50806264ef35b57394391c3e738a9822 | refs/heads/master | 1,642,227,983,603 | 1,642,011,696,000 | 1,642,011,696,000 | 228,607,691 | 0 | 0 | Apache-2.0 | 1,576,584,269,000 | 1,576,584,268,000 | null | UTF-8 | Lean | false | false | 217 | lean | def Ctx := String → Type
abbrev State (Γ : Ctx) := {x : String} → Γ x
constant p {Γ : Ctx} (s : State Γ) : Prop
theorem ex {Γ : Ctx} (s : State Γ) (h : (a : State Γ) → @p Γ a) : @p Γ s :=
h ‹_›
|
a47aadf8534f635a64f485f01c0cd288918a26e3 | 80cc5bf14c8ea85ff340d1d747a127dcadeb966f | /src/order/filter/at_top_bot.lean | a917d11369c4af24264bff7387638a1bac3dd2ad | [
"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 | 41,706 | 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, Patrick Massot
-/
import order.filter.bases
import data.finset.preimage
/-!
# `at_top` and `at_bot` filters on preorded sets, monoids a... |
20949d3251aa5377a5ad92e2ef9733f5f4444db1 | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /library/data/num.lean | 83a966747f30b2ce7244df4ec77f6f3b3e8b497b | [
"Apache-2.0"
] | permissive | soonhokong/lean-osx | 4a954262c780e404c1369d6c06516161d07fcb40 | 3670278342d2f4faa49d95b46d86642d7875b47c | refs/heads/master | 1,611,410,334,552 | 1,474,425,686,000 | 1,474,425,686,000 | 12,043,103 | 5 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 17,476 | 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
-/
import data.bool
open bool tactic
attribute [instance]
definition pos_num_decidable_eq : decidable_eq pos_num :=
by mk_dec_eq_instance
attribute [instance]... |
4647443ebb981ed887c81a3eecda088c1b02ed84 | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /library/algebra/ring_power.lean | 96140dfa143dc4c1e457003b7921225df55eb376 | [
"Apache-2.0"
] | permissive | soonhokong/lean-osx | 4a954262c780e404c1369d6c06516161d07fcb40 | 3670278342d2f4faa49d95b46d86642d7875b47c | refs/heads/master | 1,611,410,334,552 | 1,474,425,686,000 | 1,474,425,686,000 | 12,043,103 | 5 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 6,282 | lean | /-
Copyright (c) 2015 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Jeremy Avigad
Properties of the power operation in various structures, including ordered rings and fields.
-/
import .group_power .ordered_field
open nat
variable {A : Type}
section s... |
06ff5a3d8cd43a7554d83291708d010b11f833eb | 367134ba5a65885e863bdc4507601606690974c1 | /src/category_theory/preadditive/default.lean | c8abb6f8617de307a2bb7f6b01243bff916fb157 | [
"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 | 7,859 | 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 algebra.group.hom
import category_theory.limits.shapes.kernels
import algebra.big_operators.basic
/-!
# Preadditive categories
A preadditive category is a cate... |
ddf5372bbb04d03ca8ca266fc3b7dd9779853c19 | 302c785c90d40ad3d6be43d33bc6a558354cc2cf | /src/data/complex/module.lean | 400d13fd20b6d6051944f6693d649b6dd56797f5 | [
"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 | 7,325 | lean | /-
Copyright (c) 2020 Alexander Bentkamp, Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Alexander Bentkamp, Sébastien Gouëzel
-/
import data.complex.basic
import algebra.algebra.ordered
import data.matrix.notation
import field_theory.tower
import li... |
0e0d080be40d451421a04ed5dffda02acfb62632 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/combinatorics/quiver/connected_component.lean | b43d6b4b177bced0bf2ececc5e532d0d764578dc | [
"Apache-2.0"
] | permissive | Vierkantor/mathlib | 0ea59ac32a3a43c93c44d70f441c4ee810ccceca | 83bc3b9ce9b13910b57bda6b56222495ebd31c2f | refs/heads/master | 1,658,323,012,449 | 1,652,256,003,000 | 1,652,256,003,000 | 209,296,341 | 0 | 1 | Apache-2.0 | 1,568,807,655,000 | 1,568,807,655,000 | null | UTF-8 | Lean | false | false | 3,385 | lean | /-
Copyright (c) 2021 David Wärn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: David Wärn
-/
import combinatorics.quiver.subquiver
import combinatorics.quiver.path
/-!
## Weakly connected components
For a quiver `V`, we build a quiver `symmetrify V` by adding a rev... |
44be2201785ba18fc4d9ecdfc8aafff563901043 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/category_theory/concrete_category/default.lean | 8d86ecbae0ecff980aa1590e94a76c44c05e2417 | [] | 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 | 167 | lean | import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.category_theory.concrete_category.unbundled_hom
import Mathlib.PostPort
namespace Mathlib
|
09d2753cec97759eaf9c5a49ec92a460cf686e88 | 7c2dd01406c42053207061adb11703dc7ce0b5e5 | /src/exercises/00_first_proofs.lean | 7bdf6ffd39ee1d405d6ee4633e67e16a5d858640 | [
"Apache-2.0"
] | permissive | leanprover-community/tutorials | 50ec79564cbf2ad1afd1ac43d8ee3c592c2883a8 | 79a6872a755c4ae0c2aca57e1adfdac38b1d8bb1 | refs/heads/master | 1,687,466,144,386 | 1,672,061,276,000 | 1,672,061,276,000 | 189,169,918 | 186 | 81 | Apache-2.0 | 1,686,350,300,000 | 1,559,113,678,000 | Lean | UTF-8 | Lean | false | false | 17,982 | lean | /-
This file is intended for Lean beginners. The goal is to demonstrate what it feels like to prove
things using Lean and mathlib. Complicated definitions and theory building are not covered.
Everything is covered again more slowly and with exercises in the next files.
-/
-- We want real numbers and their basic proper... |
dfdfa5f892a7a8bf779bcd612e8e7ca4e555a75d | cb1829c15cd3d28210f93507f96dfb1f56ec0128 | /theorem_proving/Sec_7_6.lean | ecf58eb790906bc445082bf934f97b87d2bbfd35 | [] | no_license | williamdemeo/LEAN_wjd | 69f9f76e35092b89e4479a320be2fa3c18aed6fe | 13826c75c06ef435166a26a72e76fe984c15bad7 | refs/heads/master | 1,609,516,630,137 | 1,518,123,893,000 | 1,518,123,893,000 | 97,740,278 | 2 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 631 | lean | universe u
def tuple (α : Type u) (n : ℕ) :=
{ l : list α // list.length l = n }
#check tuple
variables {α : Type u} {n : ℕ}
def f {n : ℕ} (t : tuple α n) : ℕ :=
begin
cases n, exact 3, exact 7
end
#check f
def my_tuple : tuple ℕ 3 := ⟨[0, 1, 2], rfl⟩
example : f my_tuple = 7 := rfl
-- Again, we prove tha... |
368c90a1cf4c9e0940fc3737513741be255ccdb9 | 9ad8d18fbe5f120c22b5e035bc240f711d2cbd7e | /src/homotopy/poset.lean | f6eefb0a61c886b86bf653bb8aa5583b1a58c99f | [] | no_license | agusakov/lean_lib | c0e9cc29fc7d2518004e224376adeb5e69b5cc1a | f88d162da2f990b87c4d34f5f46bbca2bbc5948e | refs/heads/master | 1,642,141,461,087 | 1,557,395,798,000 | 1,557,395,798,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 7,713 | lean | /-
Copyright (c) 2019 Neil Strickland. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Neil Strickland
This file effectively deals with the cartesian-closed category
of finite posets and the associated "strong homotopy category".
However, we have taken an ad hoc approa... |
07c5096443ef6e5abf2810821c960f7ad9fea441 | 94e33a31faa76775069b071adea97e86e218a8ee | /src/algebra/order/lattice_group.lean | f53136142fdc7b8eed1ac7539f1005a5fc890981 | [
"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 | 18,890 | lean | /-
Copyright (c) 2021 Christopher Hoskin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Christopher Hoskin
-/
import algebra.group_power.basic -- Needed for squares
import algebra.order.group
import tactic.nth_rewrite
/-!
# Lattice ordered groups
Lattice ordered gro... |
cd345a814fdf4c3f4cee4ba4257214073826a17b | 03bd658c402412f41d3026d1040ee8ca8c0fc579 | /src/game/modify/basic.lean | 91f55355bd88c1f9729f579f999fd40c9371457b | [] | no_license | ImperialCollegeLondon/dots_and_boxes | c205f6dbad8af9625f56715e4d1bed96b0ac1022 | f7bd0b1603674a657170c5395adb717c4f670220 | refs/heads/master | 1,663,752,058,476 | 1,591,438,614,000 | 1,591,438,614,000 | 139,707,103 | 2 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 5,915 | lean | import game.basic
import list.modify.basic
import tactic.fin_cases
open list
namespace game
/--Two games that are equal except one entry in one sublist of components differs by at most d-/
structure modify {n : ℕ} (G1 G2 : game n) (d : ℤ) :=
(j : fin n) -- kind of the component they differ in (there are n kinds of ... |
522fc1e4dc4974fe1689e7d1a3199a4f42660436 | c3f2fcd060adfa2ca29f924839d2d925e8f2c685 | /library/algebra/ordered_group.lean | 9711eb41e6fad049356e437cb772c5e1aa76a11d | [
"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 | 21,329 | lean | /-
Copyright (c) 2014 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Module: algebra.ordered_group
Authors: Jeremy Avigad
Partially ordered additive groups, modeled on Isabelle's library. We could refine the structures,
but we would have to declare more inherit... |
2291807af12e96ece4a85f393c4d60cb574eff48 | 5412d79aa1dc0b521605c38bef9f0d4557b5a29d | /stage0/src/Lean/Elab/App.lean | 3b2c8ecff9939a87b155fcfc7cf4752db53078eb | [
"Apache-2.0"
] | permissive | smunix/lean4 | a450ec0927dc1c74816a1bf2818bf8600c9fc9bf | 3407202436c141e3243eafbecb4b8720599b970a | refs/heads/master | 1,676,334,875,188 | 1,610,128,510,000 | 1,610,128,521,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 43,930 | 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.Util.FindMVar
import Lean.Elab.Term
import Lean.Elab.Binders
import Lean.Elab.SyntheticMVars
namespace Lean.Elab.Term
open Meta
builtin_initia... |
92e1774bc4ffabf066948976026119e82e71ae15 | 98beff2e97d91a54bdcee52f922c4e1866a6c9b9 | /src/cartesian_closed.lean | 9da6b2671f79115220d1c5bd94f9b90de43b4764 | [] | no_license | b-mehta/topos | c3fc43fb04ba16bae1965ce5c26c6461172e5bc6 | c9032b11789e36038bc841a1e2b486972421b983 | refs/heads/master | 1,629,609,492,867 | 1,609,907,263,000 | 1,609,907,263,000 | 240,943,034 | 43 | 3 | null | 1,598,210,062,000 | 1,581,877,668,000 | Lean | UTF-8 | Lean | false | false | 7,828 | lean | import category_theory.adjunction.limits
import category_theory.closed.cartesian
import category_theory.conj
universes v u₁ u₂
namespace category_theory
open category limits
variables {C : Type u₁} [category.{v} C] [has_finite_products C] [cartesian_closed C]
variables {D : Type u₂} [category.{v} D] [has_finite_produ... |
7d304c2da5e60368b1eaecf5c8870ad9be0c65a8 | bbecf0f1968d1fba4124103e4f6b55251d08e9c4 | /src/group_theory/submonoid/operations.lean | cbfbc41555056a23c800fc1441bebaf425f9d947 | [
"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 | 35,506 | 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 group_theory.submonoid.basic
import data.equiv.mul_add
import al... |
925dfea83ff710a3870032bef3ac6e5889c3755a | 05f637fa14ac28031cb1ea92086a0f4eb23ff2b1 | /tests/lean/sig3.lean | aad7d50c82f1485a44cc89665df2aaf325f012ea | [
"Apache-2.0"
] | permissive | codyroux/lean0.1 | 1ce92751d664aacff0529e139083304a7bbc8a71 | 0dc6fb974aa85ed6f305a2f4b10a53a44ee5f0ef | refs/heads/master | 1,610,830,535,062 | 1,402,150,480,000 | 1,402,150,480,000 | 19,588,851 | 2 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 91 | lean | check pair 10 20
check pair 10 (pair 20 30)
check pair 10 (pair true (λ x : Nat, x > 10))
|
80c082c7abaac669e818882a5d865a9b872ce162 | d9d511f37a523cd7659d6f573f990e2a0af93c6f | /src/linear_algebra/tensor_product.lean | 2ba524e51d5c4dd2f0abee72fe9c2433247c5a47 | [
"Apache-2.0"
] | permissive | hikari0108/mathlib | b7ea2b7350497ab1a0b87a09d093ecc025a50dfa | a9e7d333b0cfd45f13a20f7b96b7d52e19fa2901 | refs/heads/master | 1,690,483,608,260 | 1,631,541,580,000 | 1,631,541,580,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 38,366 | lean | /-
Copyright (c) 2018 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau, Mario Carneiro
-/
import group_theory.congruence
import linear_algebra.bilinear_map
/-!
# Tensor product of modules over commutative semirings.
This file constructs the tensor... |
f77c8c4278ee569113ed266cc1274368e7d4c4e1 | 22e97a5d648fc451e25a06c668dc03ac7ed7bc25 | /src/algebra/group/units.lean | 55767d93f644ba4c2a19ee77ddc97fe4f14e1c75 | [
"Apache-2.0"
] | permissive | keeferrowan/mathlib | f2818da875dbc7780830d09bd4c526b0764a4e50 | aad2dfc40e8e6a7e258287a7c1580318e865817e | refs/heads/master | 1,661,736,426,952 | 1,590,438,032,000 | 1,590,438,032,000 | 266,892,663 | 0 | 0 | Apache-2.0 | 1,590,445,835,000 | 1,590,445,835,000 | null | UTF-8 | Lean | false | false | 10,431 | lean | /-
Copyright (c) 2017 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau, Mario Carneiro, Johannes Hölzl, Chris Hughes, Jens Wagemaker
-/
import algebra.group.basic
import tactic.ext
import tactic.norm_cast
/-!
# Units (i.e., invertible elements) of a... |
68b625d20168949822b3548fe7a73f196e490b42 | 5ae26df177f810c5006841e9c73dc56e01b978d7 | /src/topology/maps.lean | d42cc705fc24e761a1e5dc88b919ecb11b7019a5 | [
"Apache-2.0"
] | permissive | ChrisHughes24/mathlib | 98322577c460bc6b1fe5c21f42ce33ad1c3e5558 | a2a867e827c2a6702beb9efc2b9282bd801d5f9a | refs/heads/master | 1,583,848,251,477 | 1,565,164,247,000 | 1,565,164,247,000 | 129,409,993 | 0 | 1 | Apache-2.0 | 1,565,164,817,000 | 1,523,628,059,000 | Lean | UTF-8 | Lean | false | false | 20,873 | 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
Specific classes of maps between topological spaces: embeddings, open maps, quotient maps.
-/
import topology.order topology.separation
... |
c1f59448e9e3b9a2c7afd18d21246b7a7363322c | 491068d2ad28831e7dade8d6dff871c3e49d9431 | /tests/lean/run/rewriter16.lean | f2122fb507912440eb6274741e3278d768e91c8e | [
"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 | 116 | lean | import data.nat
open nat
theorem tst (x : nat) (H1 : x = 0) : x = 0 :=
begin
rewrite *add_zero,
rewrite H1
end
|
8848f237924a35d36c4176d39f9c967df0d2ce51 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/order/heyting/basic.lean | 70dd95d2b7175dfbae2536e1082eee72b5e4759b | [
"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 | 39,523 | lean | /-
Copyright (c) 2022 Yaël Dillies. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yaël Dillies
-/
import order.prop_instances
/-!
# Heyting algebras
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file require a corresponding PR to mathlib4.
This f... |
78149f249b619d6d1448089ff38b8f163f3b4d61 | 592ee40978ac7604005a4e0d35bbc4b467389241 | /Library/generated/mathscheme-lean/InvolutiveMagma.lean | 671943a48d297fef6f463c07fcf627a2dbf11855 | [] | 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 | 8,568 | 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 InvolutiveMagma
structure InvolutiveMagma (A : Type) : Type :=
(prim : (A → A))
(involutive_prim : (∀ {x : A} , (prim (prim x)) = x))
(op : (A → (A → A))... |
f41b7b3c77e401e650aa116c0f3209e39d11e6e9 | aa2345b30d710f7e75f13157a35845ee6d48c017 | /data/complex/basic.lean | b78e0db5386c000bbd2051d8d1270f39a2b53524 | [
"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 | 20,355 | lean | /-
Copyright (c) 2017 Kevin Buzzard. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kevin Buzzard, Mario Carneiro
The complex numbers, modelled as R^2 in the obvious way.
-/
import data.real.basic tactic.ring algebra.field
structure complex : Type :=
(re : ℝ) (im : ℝ... |
718ea8f05c34efe8d18156b5843d30c2ec8fe32f | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /counterexamples/char_p_zero_ne_char_zero.lean | 39d631178bad091ff4f1cbcd31308b5a68fcfa68 | [
"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 | 1,034 | lean | /-
Copyright (c) 2022 Damiano Testa. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Damiano Testa, Eric Wieser
-/
import algebra.char_p.basic
/-! # `char_p R 0` and `char_zero R` need not coincide for semirings
For rings, the two notions coincide.
In fact, `char_p.o... |
0c0bef88f4f5713bf567f3a35cc88d148c2310d5 | 92b50235facfbc08dfe7f334827d47281471333b | /library/data/nat/choose.lean | 8100a0f1543bc8c8c861c25aaa55203836934317 | [
"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 | 3,616 | 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
Choice function for decidable predicates on natural numbers.
This module provides the following two declarations:
choose {p : nat → Prop} [d : decidabl... |
9f9f7aac3b4182b4b6b68c7d4be97156096a64dd | 842b7df4a999c5c50bbd215b8617dd705e43c2e1 | /nat_num_game/src/Advanced_Proposition_World/adv_prop_wrld4.lean | e2410fa3a0e0fe37dd2a415bb92db6fefd1329ff | [] | no_license | Samyak-Surti/LeanCode | 1c245631f74b00057d20483c8ac75916e8643b14 | 944eac3e5f43e2614ed246083b97fbdf24181d83 | refs/heads/master | 1,669,023,730,828 | 1,595,534,784,000 | 1,595,534,784,000 | 282,037,186 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 284 | lean | lemma iff_trans (P Q R : Prop) : (P ↔ Q) → (Q ↔ R) → (P ↔ R) :=
begin
intro fpq,
cases fpq with pq qp,
intro fqr,
cases fqr with qr rq,
split,
intro p,
apply qr,
apply pq,
exact p,
intro r,
apply qp,
apply rq,
exact r,
end |
044ee61f96e7e43262d586269ef466994afc4db9 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/Init/Util.lean | 55a4f64e2b5a918ad370dbf8fe2cc1f084d23118 | [
"Apache-2.0",
"LLVM-exception",
"NCSA",
"LGPL-3.0-only",
"LicenseRef-scancode-inner-net-2.0",
"BSD-3-Clause",
"LGPL-2.0-or-later",
"Spencer-94",
"LGPL-2.1-or-later",
"HPND",
"LicenseRef-scancode-pcre",
"ISC",
"LGPL-2.1-only",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | leanprover/lean4 | 4bdf9790294964627eb9be79f5e8f6157780b4cc | f1f9dc0f2f531af3312398999d8b8303fa5f096b | refs/heads/master | 1,693,360,665,786 | 1,693,350,868,000 | 1,693,350,868,000 | 129,571,436 | 2,827 | 311 | Apache-2.0 | 1,694,716,156,000 | 1,523,760,560,000 | Lean | UTF-8 | Lean | false | false | 3,892 | 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.Data.String.Basic
import Init.Data.ToString.Basic
universe u v
/-! # Debugging helper functions -/
set_option linter.unusedVariables.... |
eee8e823faafde236478c35dd3b6a267a0ed6d3c | 206422fb9edabf63def0ed2aa3f489150fb09ccb | /src/order/atoms.lean | dfbc742f477f1c42ecd62da7173acf61bfb79cf5 | [
"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 | 17,261 | 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 order.complete_boolean_algebra
import order.modular_lattice
import data.fintype.basic
/-!
# Atoms, Coatoms, and Simple Lattices
This module defines atoms, ... |
5cf216d78d276296791765ab3beee4d4cba54a8c | aa3f8992ef7806974bc1ffd468baa0c79f4d6643 | /tests/lean/run/t6.lean | e8e3bff00941d978268789a0d0667c4a97560a34 | [
"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 | 361 | lean | precedence `+` : 65
precedence `++` : 100
constant N : Type.{1}
constant f : N → N → N
constant a : N
check
let g x y := f x y,
infix + := g,
b : N := a+a,
c := b+a,
h (x : N) := x+x,
postfix ++ := h,
d := c++,
r (... |
31a72f61d7882a5e46791288349ed7210bb19b65 | 1a61aba1b67cddccce19532a9596efe44be4285f | /hott/algebra/category/precategory.hlean | 656e7cf6bc7641daea0f62eaaef0172e62bac1ab | [
"Apache-2.0"
] | permissive | eigengrau/lean | 07986a0f2548688c13ba36231f6cdbee82abf4c6 | f8a773be1112015e2d232661ce616d23f12874d0 | refs/heads/master | 1,610,939,198,566 | 1,441,352,386,000 | 1,441,352,494,000 | 41,903,576 | 0 | 0 | null | 1,441,352,210,000 | 1,441,352,210,000 | null | UTF-8 | Lean | false | false | 11,253 | 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
-/
import types.trunc types.pi arity
open eq is_trunc pi
namespace category
/-
Just as in Coq-HoTT we add two redundant fields to precategories: assoc' and id_i... |
ed1e280ba7bf5a211761c917f7e6faa60443c366 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/combinatorics/simple_graph/basic.lean | 9934190429130d3a9ef939c795cf7f1ba28728df | [
"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 | 41,477 | lean | /-
Copyright (c) 2020 Aaron Anderson, Jalex Stark, Kyle Miller. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Aaron Anderson, Jalex Stark, Kyle Miller, Alena Gusakov, Hunter Monroe
-/
import data.rel
import data.set.finite
import data.sym.sym2
/-!
# Simple graphs
Th... |
48525fb99a607bb316adf0b844306db5ba57a9e9 | 947b78d97130d56365ae2ec264df196ce769371a | /tests/lean/run/unexpected_result_with_bind.lean | 8dccb264d1d558ab7e4c8ba2f806589e684d995a | [
"Apache-2.0"
] | permissive | shyamalschandra/lean4 | 27044812be8698f0c79147615b1d5090b9f4b037 | 6e7a883b21eaf62831e8111b251dc9b18f40e604 | refs/heads/master | 1,671,417,126,371 | 1,601,859,995,000 | 1,601,860,020,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 705 | lean | new_frontend
namespace Repro
def FooM (α : Type) : Type := Unit → α
def FooM.run {α : Type} (ψ : FooM α) (x : Unit) : α := ψ x
def bind {α β : Type} : ∀ (ψ₁ : FooM α) (ψ₂ : α → FooM β), FooM β
| ψ₁, ψ₂ => λ _ => ψ₂ (ψ₁.run ()) ()
instance : HasPure FooM := ⟨λ x => λ _ => x⟩
instance : HasBind FooM := ⟨@bind⟩
instanc... |
d14d80158dc6eac4b04bacf69a209d15294f1316 | e21db629d2e37a833531fdcb0b37ce4d71825408 | /src/parlang/nonmono.lean | 3a32b786848c1138569111d27f6b96a62ba9b5ae | [] | no_license | fischerman/GPU-transformation-verifier | 614a28cb4606a05a0eb27e8d4eab999f4f5ea60c | 75a5016f05382738ff93ce5859c4cfa47ccb63c1 | refs/heads/master | 1,586,985,789,300 | 1,579,290,514,000 | 1,579,290,514,000 | 165,031,073 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 10,681 | lean | import parlang.defs
import parlang.lemmas_state
import parlang.lemmas_exec
namespace parlang_nonmono
variables {n : ℕ} {σ : Type} {ι : Type} {τ : ι → Type} [decidable_eq ι]
notation `v[` v:(foldr `, ` (h t, vector.cons h t) vector.nil `]`) := v
open parlang
open parlang.kernel
inductive exec_state {n : ℕ} : kernel σ... |
682f591176eaad5e6bc40b231d1e9d8c9f8b9dc0 | 55c7fc2bf55d496ace18cd6f3376e12bb14c8cc5 | /src/algebra/field_power.lean | b3d61885692388fc66448b53884e8d2762853353 | [
"Apache-2.0"
] | permissive | dupuisf/mathlib | 62de4ec6544bf3b79086afd27b6529acfaf2c1bb | 8582b06b0a5d06c33ee07d0bdf7c646cae22cf36 | refs/heads/master | 1,669,494,854,016 | 1,595,692,409,000 | 1,595,692,409,000 | 272,046,630 | 0 | 0 | Apache-2.0 | 1,592,066,143,000 | 1,592,066,142,000 | null | UTF-8 | Lean | false | false | 5,327 | lean | /-
Copyright (c) 2018 Robert Y. Lewis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Robert Y. Lewis
Integer power operation on fields.
-/
import algebra.group_with_zero_power
import tactic.linarith
universe u
@[simp] lemma ring_hom.map_fpow {K L : Type*} [division... |
65144e3e3da2fca662797d64809420172a095f5d | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/logic/equiv/fin.lean | 2033818a7e7ac2ddcd30f3ac232624a733691de6 | [
"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 | 19,529 | lean | /-
Copyright (c) 2018 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau
-/
import data.fin.vec_notation
import data.int.order.basic
import logic.equiv.defs
/-!
# Equivalences for `fin n`
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to th... |
3851e057c86418d6fd1c2a92eeb4db0d4ddcf868 | ae1e94c332e17c7dc7051ce976d5a9eebe7ab8a5 | /src/Lean/Compiler/IR/RC.lean | 0b50b9aa27dee8d113d7879bca58004d19ade6c3 | [
"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 | 12,755 | 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.Runtime
import Lean.Compiler.IR.CompilerM
import Lean.Compiler.IR.LiveVars
namespace Lean.IR.ExplicitRC
/- Insert explicit RC instructions. So,... |
caf089a24b9c109a15059bf4db3a3e57e04ce8d5 | 968e2f50b755d3048175f176376eff7139e9df70 | /examples/prop_logic_theory/unnamed_803.lean | 76f9a87c823e52d23f75cf9fc3cabe4dfc3c10a6 | [] | no_license | gihanmarasingha/mth1001_sphinx | 190a003269ba5e54717b448302a27ca26e31d491 | 05126586cbf5786e521be1ea2ef5b4ba3c44e74a | refs/heads/master | 1,672,913,933,677 | 1,604,516,583,000 | 1,604,516,583,000 | 309,245,750 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 501 | lean | variables p q : Prop
-- BEGIN
theorem and_of_and : p ∧ q → q ∧ p :=
begin
assume h : p ∧ q, -- Assume `h : p ∧ q`. It suffices to prove `q ∧ p`.
have h₂ : q, from h.right, -- We have `h₂ : q` by right conjunction elimination on `h`.
have h₃ : p, from h.left, -- We have `h₃ : p` by l... |
ecc2c23abfad33e6a7104488674e3b15b837f1ad | c45b34bfd44d8607a2e8762c926e3cfaa7436201 | /uexp/src/uexp/rules/transitiveInferenceComplexPredicate.lean | ea52c3632306ebe7c937fe21885a94112b24f2cd | [
"BSD-2-Clause"
] | permissive | Shamrock-Frost/Cosette | b477c442c07e45082348a145f19ebb35a7f29392 | 24cbc4adebf627f13f5eac878f04ffa20d1209af | refs/heads/master | 1,619,721,304,969 | 1,526,082,841,000 | 1,526,082,841,000 | 121,695,605 | 1 | 0 | null | 1,518,737,210,000 | 1,518,737,210,000 | null | UTF-8 | Lean | false | false | 3,086 | lean | import ..sql
import ..tactics
import ..u_semiring
import ..extra_constants
import ..ucongr
import ..TDP
set_option profiler true
open Expr
open Proj
open Pred
open SQL
open tree
open binary_operators
notation `int` := datatypes.int
variable integer_1: const datatypes.int
variable integer_2: const datatypes.int
vari... |
3ce4e1fcfb87d9bf0fec7a2e7c6b20a31460c577 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/algebra/big_operators/intervals.lean | 8a500766ee19a43057c34c8e15c00134f4111313 | [
"Apache-2.0"
] | permissive | Vierkantor/mathlib | 0ea59ac32a3a43c93c44d70f441c4ee810ccceca | 83bc3b9ce9b13910b57bda6b56222495ebd31c2f | refs/heads/master | 1,658,323,012,449 | 1,652,256,003,000 | 1,652,256,003,000 | 209,296,341 | 0 | 1 | Apache-2.0 | 1,568,807,655,000 | 1,568,807,655,000 | null | UTF-8 | Lean | false | false | 10,558 | 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 algebra.big_operators.basic
import algebra.module.basic
import data.nat.interval
import tactic.linarith
import tactic.abel
/-!
# Results about big operators ... |
6e87b3a284b394a200158a8a14b6e948f3b80abc | 947fa6c38e48771ae886239b4edce6db6e18d0fb | /src/tactic/ext.lean | 643af928ea7fec410933047594b7382bda319e43 | [
"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 | 19,926 | 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 tactic.rcases
import logic.function.basic
universes u₁ u₂
open interactive interactive.types
section ext
open lean.parser nat tactic
declare_tr... |
2c5f2074aa497ab1cb8051bd4898170c411fa055 | 05b503addd423dd68145d68b8cde5cd595d74365 | /src/ring_theory/power_series.lean | ff619c57bf60d3c234d0d83719c9b5fcb244d0da | [
"Apache-2.0"
] | permissive | aestriplex/mathlib | 77513ff2b176d74a3bec114f33b519069788811d | e2fa8b2b1b732d7c25119229e3cdfba8370cb00f | refs/heads/master | 1,621,969,960,692 | 1,586,279,279,000 | 1,586,279,279,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 58,309 | lean | /-
Copyright (c) 2019 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin, Kenny Lau
-/
import data.finsupp order.complete_lattice algebra.ordered_group data.mv_polynomial
import algebra.order_functions
import ring_theory.ideal_operations
/-... |
cc20b03cc2fa52a73d9593785280feda71db417c | 618003631150032a5676f229d13a079ac875ff77 | /src/data/list/chain.lean | de31aaf13807cc071418fd0eebecf1dfcde62d85 | [
"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 | 9,850 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Kenny Lau, Yury Kudryashov
-/
import data.list.pairwise
import logic.relation
universes u v
open nat
variables {α : Type u} {β : Type v}
namespace list
/- chain re... |
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