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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
af9f6264157e75e475d77260ddc1fb85397811e5 | f3849be5d845a1cb97680f0bbbe03b85518312f0 | /library/tools/super/prover_state.lean | 380c1b1690a94a2e6e427928bbd3eae34feca846 | [
"Apache-2.0"
] | permissive | bjoeris/lean | 0ed95125d762b17bfcb54dad1f9721f953f92eeb | 4e496b78d5e73545fa4f9a807155113d8e6b0561 | refs/heads/master | 1,611,251,218,281 | 1,495,337,658,000 | 1,495,337,658,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 15,528 | lean | /-
Copyright (c) 2016 Gabriel Ebner. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gabriel Ebner
-/
import .clause .lpo .cdcl_solver
open tactic functor monad expr
namespace super
structure score :=
(priority : ℕ)
(in_sos : bool)
(cost : ℕ)
(age : ℕ)
namespace scor... |
cf5f5b958cd845923a798691f32dd4ee538455e2 | 82e44445c70db0f03e30d7be725775f122d72f3e | /src/algebra/euclidean_domain.lean | e7274a176448d892a15c96724bc7f25949779134 | [
"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 | 17,179 | lean | /-
Copyright (c) 2018 Louis Carlin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Louis Carlin, Mario Carneiro
-/
import data.int.basic
import algebra.field
/-!
# Euclidean domains
This file introduces Euclidean domains and provides the extended Euclidean algorithm... |
e25b2beed17fb13abbac786e46d6658343dd19ba | 4727251e0cd73359b15b664c3170e5d754078599 | /src/data/polynomial/div.lean | d00f41b8ff3987dff80c7c387d1960f46055656e | [
"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 | 21,078 | 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.inductions
import data.polynomial.monic
import ring_theory.multiplicity
/-!
# Division of univaria... |
638b1d69d2a14535e3a10d86958e3a9a88435f4e | 6dc0c8ce7a76229dd81e73ed4474f15f88a9e294 | /src/Lean/Parser/Basic.lean | e5f8b2746984bcef5e98e7d0d16fc0abae28d165 | [
"Apache-2.0"
] | permissive | williamdemeo/lean4 | 72161c58fe65c3ad955d6a3050bb7d37c04c0d54 | 6d00fcf1d6d873e195f9220c668ef9c58e9c4a35 | refs/heads/master | 1,678,305,356,877 | 1,614,708,995,000 | 1,614,708,995,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 69,957 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura, Sebastian Ullrich
-/
/-!
# Basic Lean parser infrastructure
The Lean parser was developed with the following primary goals in mind:
* flexibility: Lean's g... |
fb085b5922d95166723578bdff15d28fe2dbf098 | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /stage0/src/Lean/Level.lean | c52afa33d027bc74b4222e99ab011a02c3a76199 | [
"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 | 21,862 | lean | /-
Copyright (c) 2018 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 Std.Data.HashSet
import Std.Data.PersistentHashMap
import Std.Data.PersistentHashSet
import Lean.Hygiene
import Lean.Data.Nam... |
2fbea9c0c2165db30c40a27360311ba9b7b138c1 | 302c785c90d40ad3d6be43d33bc6a558354cc2cf | /src/ring_theory/ideal/operations.lean | 30a2357306cf9e77e67eac127c51b97cb2732e47 | [
"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 | 66,490 | 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 algebra.algebra.operations
import algebra.algebra.tower
import data.equiv.ring
import data.nat.choose.sum
import ring_theory.ideal.basic
import ring_theory.non_zero_divi... |
8784bfb07e8e0c31749f45c62f6f26d32e386ffb | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/measure_theory/integral/integrable_on.lean | 0fb400772b063f132485c87711ce1d7fae777f63 | [
"Apache-2.0"
] | permissive | AntoineChambert-Loir/mathlib | 64aabb896129885f12296a799818061bc90da1ff | 07be904260ab6e36a5769680b6012f03a4727134 | refs/heads/master | 1,693,187,631,771 | 1,636,719,886,000 | 1,636,719,886,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 22,576 | 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... |
a2f6b38c235183f18ca2397ee4160bdf470abe4f | e00ea76a720126cf9f6d732ad6216b5b824d20a7 | /src/order/basic.lean | 2037538ace0ffd83bb71949e3d496d779f3deaac | [
"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 | 28,290 | lean | /-
Copyright (c) 2014 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Mario Carneiro
-/
import logic.basic data.sum data.set.basic algebra.order
open function
/- TODO: automatic construction of dual definitions / theorems -/
universes u v... |
0261a51cbdc3e8679fa387641f284c9ee62bf28f | f608b09bd951f29eccb4c27187f55223000fa85f | /2020/lean/love01_definitions_and_statements_demo.lean | 9579fd37e3ad69de5764d525ccd3f8b267b91853 | [] | no_license | bobismijnnaam/advent-of-code | 9482d954b8f381b28a4823337e3688963fd05d6d | 471b9cad04eba7010da79416aef7a3218b1f4541 | refs/heads/master | 1,639,530,767,572 | 1,639,425,773,000 | 1,639,425,773,000 | 225,140,719 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 10,753 | lean | import .lovelib
#eval 2 + 2
/- # LoVe Preface
## Proof Assistants
Proof assistants (also called interactive theorem provers)
* check and help develop formal proofs;
* can be used to prove big theorems, not only logic puzzles;
* can be tedious to use;
* are highly addictive (think video games).
A selection of proo... |
4e641857d8833a74a04b886e7eb408310a505715 | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /stage0/src/Lean/Elab/Deriving/Basic.lean | e3b35b6e6630072b31e79871b4e6270abbf86d22 | [
"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 | 3,818 | 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, Wojciech Nawrocki
-/
import Lean.Elab.Command
import Lean.Elab.MutualDef
namespace Lean.Elab
open Command
def DerivingHandler := (typeNames : Array Name) → ... |
0dd65989a72d235e71570dc8d9241ffdeefe516d | ed27983dd289b3bcad416f0b1927105d6ef19db8 | /src/inClassNotes/type_library/list.lean | e8d37461c8ce173c37014e7b9192d5538d446ab1 | [] | no_license | liuxin-James/complogic-s21 | 0d55b76dbe25024473d31d98b5b83655c365f811 | 13e03e0114626643b44015c654151fb651603486 | refs/heads/master | 1,681,109,264,463 | 1,618,848,261,000 | 1,618,848,261,000 | 337,599,491 | 0 | 0 | null | 1,613,141,619,000 | 1,612,925,555,000 | null | UTF-8 | Lean | false | false | 651 | lean | namespace hidden
universe u
inductive list (α : Type u) : Type u
| nil {} : list
| cons (h : α) (t : list) : list
#check list
#check list
#check list nat
#check list string
#check list bool
def l : list nat := list.nil
def t : list nat :=
list.cons
(3)
(list.cons
(4)
(list.cons
5
... |
53bf67c5e6a06a6258db7b68fd507135acaa341c | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/combinatorics/simple_graph/connectivity.lean | 1fd28aca8c8cc0596f72e0129e8fd8b972ccec79 | [
"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 | 66,191 | lean | /-
Copyright (c) 2021 Kyle Miller. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kyle Miller
-/
import combinatorics.simple_graph.basic
import combinatorics.simple_graph.subgraph
import data.list.rotate
/-!
# Graph connectivity
In a simple graph,
* A *walk* is a fi... |
1741cbcee55895a2ddea26222cf795eb89987f10 | ce6917c5bacabee346655160b74a307b4a5ab620 | /src/ch3/ex0212.lean | 38d2999cd3b353ae7344a9e2cf6e73650ce33a8f | [] | no_license | Ailrun/Theorem_Proving_in_Lean | ae6a23f3c54d62d401314d6a771e8ff8b4132db2 | 2eb1b5caf93c6a5a555c79e9097cf2ba5a66cf68 | refs/heads/master | 1,609,838,270,467 | 1,586,846,743,000 | 1,586,846,743,000 | 240,967,761 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 192 | lean | theorem t1 (p q : Prop) (hp : p) (hq : q) : p := hp
variables p q r s : Prop
#check t1 p q
#check t1 r s
#check t1 (r → s) (s → r)
variable h : r → s
#check t1 (r → s) (s → r) h
|
d0fedbcfcaa5311eca3fcc2d49d546e416cdc8ab | e0b0b1648286e442507eb62344760d5cd8d13f2d | /src/Lean/Elab/Syntax.lean | 72f1b41ada3ea4a4bc9368059e8c4623759d987a | [
"Apache-2.0"
] | permissive | MULXCODE/lean4 | 743ed389e05e26e09c6a11d24607ad5a697db39b | 4675817a9e89824eca37192364cd47a4027c6437 | refs/heads/master | 1,682,231,879,857 | 1,620,423,501,000 | 1,620,423,501,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 29,640 | 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.Elab.Command
import Lean.Parser.Syntax
namespace Lean.Elab.Term
/-
Expand `optional «precedence»` where
«precedence» := leading_parser " : " >... |
d0753c729fe3379ed4be0fa07b2b451552199646 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/tactic/omega/nat/neg_elim.lean | eadcf20e35cf0267b05a7d55c8434f6d6cd3a7e0 | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 3,958 | lean | /-
Copyright (c) 2019 Seul Baek. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Seul Baek
-/
/-
Negation elimination.
-/
import tactic.omega.nat.form
namespace omega
namespace nat
open_locale omega.nat
/-- push_neg p returns the result of normalizing ¬ p by
pu... |
b409b14b420966cd856a7853effcc1a9a93b404d | 0845ae2ca02071debcfd4ac24be871236c01784f | /library/init/lean/compiler/ir/resetreuse.lean | 2a71fb09aecbd05a942daaa992d1e7da4ee1f448 | [
"Apache-2.0"
] | permissive | GaloisInc/lean4 | 74c267eb0e900bfaa23df8de86039483ecbd60b7 | 228ddd5fdcd98dd4e9c009f425284e86917938aa | refs/heads/master | 1,643,131,356,301 | 1,562,715,572,000 | 1,562,715,572,000 | 192,390,898 | 0 | 0 | null | 1,560,792,750,000 | 1,560,792,749,000 | null | UTF-8 | Lean | false | false | 6,070 | 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.control.state
import init.control.reader
import init.lean.compiler.ir.basic
import init.lean.compiler.ir.livevars
import init.lean.compi... |
31a4cbe828db675d170c5dad1e82e36e35aa6151 | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /hott/types/bool.hlean | f11b82261dfe3fbd4e97586431220444f06570a6 | [
"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 | 4,919 | hlean | /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura, Floris van Doorn
Partially ported from the standard library
-/
open eq eq.ops decidable
namespace bool
local attribute bor [reducible]
local attribute b... |
d52de93e8d55f424c6586998c505be2266ef5e09 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/data/list/sort.lean | 92ba2fed19d5511a5aaacd6af88a9d29d58ef79e | [
"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 | 14,769 | lean | /-
Copyright (c) 2016 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad
-/
import data.list.perm
/-!
# Sorting algorithms on lists
In this file we define `list.sorted r l` to be an alias for `pairwise r l`. This alias is preferred
in the cas... |
2ce1420ac9ee4f8aca10de60cd3bcd9c52c9924f | 431385f9e6a07bcb49fbcb5d7d1dc527cd33580a | /src/tls_tactic.lean | c9374da91da5ad555216f15779123b939b5e0652 | [] | no_license | maxkaske/zfolean | c853044cbff465b92269fafe1bd8e078e192b2f0 | b74bb7accf01b25a6efb3af6b06538f98e7e5a6c | refs/heads/master | 1,677,841,414,729 | 1,613,649,566,000 | 1,613,649,566,000 | 336,965,499 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 332 | lean | open tactic interactive interactive.types
namespace tactic
namespace interactive
/- apply followed by simp with tls. not yet useful -/
meta def sapply (q : parse texpr) : tactic unit :=
concat_tags (do h ← i_to_expr_for_apply q, tactic.apply h)
>> (simp none none ff {} {"tls"} (loc.ns [none]) )
end interactive
... |
88179a2dc5f13b54e98ff1ec8505015491ead5cb | 4727251e0cd73359b15b664c3170e5d754078599 | /src/ring_theory/dedekind_domain/basic.lean | b5c2442176aab1c419f94b0bf717464267e390d9 | [
"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 | 4,318 | lean | /-
Copyright (c) 2020 Kenji Nakagawa. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenji Nakagawa, Anne Baanen, Filippo A. E. Nuccio
-/
import ring_theory.ideal.over
import ring_theory.polynomial.rational_root
/-!
# Dedekind domains
This file defines the notion of ... |
5db182c585cff8a31a6d7860e353e33f893e7663 | cf798a5faaa43a993adcc42d1a99d5eab647e00b | /Basics.lean | a120d595f02eef7bf6c4aabaae25ac90180cea17 | [] | no_license | myuon/lean-software-foundations | dbbcd37e3552b58c6e139370b16b25c69a42799b | a1a08810f2664493c920742c2d66a3131fb3ae75 | refs/heads/master | 1,610,261,785,986 | 1,459,922,839,000 | 1,459,922,839,000 | 50,269,716 | 4 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 3,843 | lean | import data
inductive day : Type :=
| monday : day
| tuesday : day
| wednesday : day
| thursday : day
| friday : day
| saturday : day
| sunday : day
open day
definition next_weekday : day → day
| monday := tuesday
| tuesday := wednesday
| wednesday := thursday
| thursday := friday
| friday := monday
| saturday := mon... |
6609f33f803fc7556efba5dae6a29b19aba84569 | bb31430994044506fa42fd667e2d556327e18dfe | /src/algebra/group/with_one/defs.lean | 813e0abb03ac52d0a09eb9eda9494430c6200fac | [
"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 | 12,255 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Johan Commelin
-/
import order.with_bot
import algebra.ring.defs
/-!
# Adjoining a zero/one to semigroups and related algebraic structures
> THIS FILE IS SYNCHRONIZED... |
82d7b719e91b9020f63ec2293664102b5b4c9115 | 618003631150032a5676f229d13a079ac875ff77 | /test/norm_cast_int.lean | b861ff123a7647d6a9245ac22eafdf0acada5403 | [
"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 | 568 | lean | import tactic.norm_cast
import data.int.basic
set_option pp.numerals false
set_option pp.notation false
-- set_option trace.simplify.rewrite true
#eval norm_cast.numeral_to_coe `(0 : ℤ)
#eval norm_cast.numeral_to_coe `(1 : ℤ)
#eval norm_cast.numeral_to_coe `(2 : ℤ)
#eval norm_cast.numeral_to_coe `(3 : ℤ)
#eval norm_... |
178c5769e0dbb12d68a3b62b7116ed0cd98c6897 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/category_theory/closed/ideal.lean | 42d0b6e57085a5104b91b7707534cfd20bc54e9b | [
"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 | 11,796 | 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.preserves.shapes.binary_products
import category_theory.limits.constructions.finite_products_of_binary_products
import category_theory.monad... |
87b438f23afc76ea26dfdee96015f582604a0dd3 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/algebra/order/group/type_tags.lean | 684ca9f8b0ccf000e4b7575cd942c929655a8828 | [
"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 | 1,002 | lean | /-
Copyright (c) 2016 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Leonardo de Moura, Mario Carneiro, Johannes Hölzl
-/
import algebra.order.group.instances
import algebra.order.monoid.type_tags
/-! # Ordered group structures on `multip... |
9c61d959daa7b34304287d9c865db2d7660e07fa | c777c32c8e484e195053731103c5e52af26a25d1 | /src/probability/process/hitting_time.lean | 7881a97d1152d585019209c6a322a144bfea69e8 | [
"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 | 13,089 | lean | /-
Copyright (c) 2022 Kexing Ying. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kexing Ying, Rémy Degenne
-/
import probability.process.stopping
/-!
# Hitting time
Given a stochastic process, the hitting time provides the first time the process ``hits'' some
subset... |
c476b369c0d37809a88b89d67b71e44289038ca9 | 06be757c84c5c318d56b5d07f1dff4eb19b949d8 | /src/power_bounded.lean | c8759e9dd17eacf139a07e8bc1d3cc5b13f3195e | [
"Apache-2.0"
] | permissive | mr-infty/perfectoid-spaces | ea3e5d161072f6de646b660cc55217838d3ceded | 1a49b3897ec3c7b871d8c970926c00f727a4e2a6 | refs/heads/master | 1,587,252,317,856 | 1,547,326,614,000 | 1,547,326,614,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,733 | lean | import tactic.where
import tactic.ring
import analysis.topology.topological_space
import analysis.topology.topological_structures
import algebra.group_power
import ring_theory.subring
universe u
variables {R : Type u} [comm_ring R] [topological_space R] [topological_ring R]
/-- Wedhorn Definition 5.27 page 36 -/
def... |
5d1c9e1571395ed78c6ab27856ef20b714c00439 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/analysis/normed_space/dual.lean | 230af5dd29c23c381587ca7d4e03a97afa70a774 | [
"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 | 10,345 | lean | /-
Copyright (c) 2020 Heather Macbeth. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Heather Macbeth
-/
import analysis.normed_space.hahn_banach.extension
import analysis.normed_space.is_R_or_C
import analysis.locally_convex.polar
/-!
# The topological dual of a norm... |
5680f0f53990c2d97f55ddc6e32f6ebf93a3ad4c | c3f2fcd060adfa2ca29f924839d2d925e8f2c685 | /hott/init/reserved_notation.hlean | a8f96c8f53615101ce6d33fd1d3a5ed2ebda284a | [
"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 | 2,422 | hlean | /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Module: init.reserved_notation
Authors: Leonardo de Moura
-/
prelude
import init.datatypes
notation `assume` binders `,` r:(scoped f, f) := r
notation `take` binders `,` r:(scoped f... |
5b0404cb17e8e91f36c35465eb2708674c58ae81 | 367134ba5a65885e863bdc4507601606690974c1 | /src/linear_algebra/direct_sum/finsupp.lean | 8b56ab8ffee8123b8dbecb098d53234ccc1a5573 | [
"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 | 3,270 | lean | /-
Copyright (c) 2019 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Johannes Hölzl
-/
import linear_algebra.finsupp
import linear_algebra.direct_sum.tensor_product
/-!
# Results on direct sums and finitely supported functions.
1. The linear equivalenc... |
8e2fccd7ef0e482769ff88938cc1aa11cdf75f1a | 4727251e0cd73359b15b664c3170e5d754078599 | /src/category_theory/category/Twop.lean | 249180e4dfe7e472fa3a35c011ff448be3cfc227 | [
"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 | 5,111 | 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 category_theory.category.Bipointed
import data.two_pointing
/-!
# The category of two-pointed types
This defines `Twop`, the category of two-pointed types.
## R... |
2a2a1749fde2d807f6c63f1f6760caf20d2caef4 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/algebra/category/Module/products.lean | e5cd44f09bb19d14b66b25521b6744514c35ed08 | [
"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 | 1,951 | 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.category.Module.epi_mono
import linear_algebra.pi
/-!
# The concrete products in the category of modules are products in the categorical sense.
-/
op... |
9dfa73fea6cab051cc4b86491d595b7990aa7a54 | 5d166a16ae129621cb54ca9dde86c275d7d2b483 | /library/init/meta/simp_tactic.lean | 11fd452097ab6026368708c42135d23b5d67e9d1 | [
"Apache-2.0"
] | permissive | jcarlson23/lean | b00098763291397e0ac76b37a2dd96bc013bd247 | 8de88701247f54d325edd46c0eed57aeacb64baf | refs/heads/master | 1,611,571,813,719 | 1,497,020,963,000 | 1,497,021,515,000 | 93,882,536 | 1 | 0 | null | 1,497,029,896,000 | 1,497,029,896,000 | null | UTF-8 | Lean | false | false | 18,558 | lean | /-
Copyright (c) 2016 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
prelude
import init.meta.tactic init.meta.attribute init.meta.constructor_tactic
import init.meta.relation_tactics init.meta.occurrences
import init.data.op... |
6f35030b17e90a3b1f86e308417f9a260b724dcb | 4727251e0cd73359b15b664c3170e5d754078599 | /src/topology/uniform_space/uniform_convergence_topology.lean | cdcad276b1c9432118680f7a8f8a6caaddf96ecf | [
"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 | 10,481 | lean | /-
Copyright (c) 2022 Anatole Dedecker. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Anatole Dedecker
-/
import topology.uniform_space.uniform_convergence
import topology.uniform_space.pi
/-!
# Topology and uniform structure of uniform convergence
This files endows... |
156773a5c71033c0067715249e8d20d58a79cecf | b561a44b48979a98df50ade0789a21c79ee31288 | /src/Lean/Widget/InteractiveCode.lean | b7dcd15660daea7b7901ca9cae142252886d1176 | [
"Apache-2.0"
] | permissive | 3401ijk/lean4 | 97659c475ebd33a034fed515cb83a85f75ccfb06 | a5b1b8de4f4b038ff752b9e607b721f15a9a4351 | refs/heads/master | 1,693,933,007,651 | 1,636,424,845,000 | 1,636,424,845,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,910 | lean | /-
Copyright (c) 2021 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Wojciech Nawrocki
-/
import Lean.PrettyPrinter
import Lean.Server.Rpc.Basic
import Lean.Widget.TaggedText
/-! RPC infrastructure for storing and formatting code fragments, in ... |
e5d4b24e1de474cf71f03db7caf4c8069dbaca03 | 8930e38ac0fae2e5e55c28d0577a8e44e2639a6d | /linear_algebra/basic.lean | e0bdb3b5fe39a0b32b7a985e766b2c4bf14d3397 | [
"Apache-2.0"
] | permissive | SG4316/mathlib | 3d64035d02a97f8556ad9ff249a81a0a51a3321a | a7846022507b531a8ab53b8af8a91953fceafd3a | refs/heads/master | 1,584,869,960,527 | 1,530,718,645,000 | 1,530,724,110,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 37,217 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Johannes Hölzl
Linear algebra -- classical
This file is inspired by Isabelle/HOL's linear algebra, and hence indirectly by HOL Light.
We define the following concepts:
* `lc α β`: l... |
c041186ffc14db26a30f95eced8ca8ac4e9a6e53 | d1a52c3f208fa42c41df8278c3d280f075eb020c | /tests/lean/run/coeIssue3.lean | c84587b826d5251f2bdce6d58039fc532496f473 | [
"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 | 500 | lean |
structure Var : Type := (name : String)
instance Var.nameCoe : Coe String Var := ⟨Var.mk⟩
structure A : Type := (u : Unit)
structure B : Type := (u : Unit)
def a : A := A.mk ()
def b : B := B.mk ()
def Foo.chalk : A → List Var → Unit := fun _ _ => ()
def Bar.chalk : B → Unit := fun _ => ()
instance listCoe {α β} ... |
9f2bceeab41bad5794434de6dcc9aa4a3da1c1ba | 03bd658c402412f41d3026d1040ee8ca8c0fc579 | /src/MITM_baby.lean | 3f02946cf80b8c0d9a49da0d8cb17971c3c6b112 | [] | 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 | 3,407 | lean | import list.simple_value
list.modify.basic
open list
/-- Man in the middle for all-chain or all-loop situations -/
theorem MITM_baby (tf : ℤ) (L1 L2 : list ℤ) (d : ℤ) (h : list.modify L1 L2 d)
(n : ℕ) (hL1 : L1.length = n) (hL2 : L2.length = n) (i : fin n) :
abs (list.value_i tf n L1 i hL1 - list.value_... |
718ddfa474716ea90b26df52461a15ee4eba07ca | 92b50235facfbc08dfe7f334827d47281471333b | /hott/init/logic.hlean | af1ea7d8a9d639af36bcb2bc3e73fbd85cc4b783 | [
"Apache-2.0"
] | permissive | htzh/lean | 24f6ed7510ab637379ec31af406d12584d31792c | d70c79f4e30aafecdfc4a60b5d3512199200ab6e | refs/heads/master | 1,607,677,731,270 | 1,437,089,952,000 | 1,437,089,952,000 | 37,078,816 | 0 | 0 | null | 1,433,780,956,000 | 1,433,780,955,000 | null | UTF-8 | Lean | false | false | 13,440 | hlean | /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
prelude
import init.reserved_notation
/- not -/
definition not (a : Type) := a → empty
prefix `¬` := not
definition absurd {a b : Type} (H₁ : a) (H₂ : ¬... |
b08ccf41d1ae27b2312839f3d8f6af98fefbb6f0 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/data/ordmap/ordnode.lean | 762691a2b7d6ccfce373582fbe1dca2920a7649f | [] | 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 | 33,639 | lean | /-
Copyright (c) 2017 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.data.list.defs
import Mathlib.data.nat.psub
import Mathlib.PostPort
universes u l u_1 u_2 ... |
d0bb09d2c1499714f9b5a224deddc5a0172ff59b | 77c5b91fae1b966ddd1db969ba37b6f0e4901e88 | /src/order/filter/at_top_bot.lean | 06e8429575ece09e73b51ece304207faff63c8e0 | [
"Apache-2.0"
] | permissive | dexmagic/mathlib | ff48eefc56e2412429b31d4fddd41a976eb287ce | 7a5d15a955a92a90e1d398b2281916b9c41270b2 | refs/heads/master | 1,693,481,322,046 | 1,633,360,193,000 | 1,633,360,193,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 61,695 | 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... |
577f177c571d0afa5435c895745f20a223157790 | fe25de614feb5587799621c41487aaee0d083b08 | /stage0/src/Lean/PrettyPrinter/Delaborator/Basic.lean | d23957605f985c89042e49ac4120efad0ada429d | [
"Apache-2.0"
] | permissive | pollend/lean4 | e8469c2f5fb8779b773618c3267883cf21fb9fac | c913886938c4b3b83238a3f99673c6c5a9cec270 | refs/heads/master | 1,687,973,251,481 | 1,628,039,739,000 | 1,628,039,739,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 9,893 | lean | /-
Copyright (c) 2020 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sebastian Ullrich
-/
/-!
The delaborator is the first stage of the pretty printer, and the inverse of the
elaborator: it turns fully elaborated `Expr` core terms back into surf... |
79139fa878bd7287ff3361b982ef9a093e032b7f | 57aec6ee746bc7e3a3dd5e767e53bd95beb82f6d | /tests/lean/run/structInst4.lean | 508fb07cac4ec5bfaf9083ef6de709a7529e38a3 | [
"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 | 485 | lean | universes u
def a : Array ((Nat × Nat) × Bool) := #[]
def b : Array Nat := #[]
structure Foo :=
(x : Array ((Nat × Nat) × Bool) := #[])
(y : Nat := 0)
#check (b).modifyOp (idx := 1) (fun s => 2)
#check { b with [1] := 2 }
#check { a with [1].fst.2 := 1 }
def foo : Foo := {}
#check foo.x[1].1.2
#check { foo with... |
f28a3608ff816e194f3a360594895a2405cf9da5 | 6096e76aa1d83b3f250d2c69eeda5b692d6bd3e2 | /src/calculus.lean | f80033da96cc2fe0cd79be1347f43bc4200c033b | [] | no_license | ChrisHughes24/lean-differential-topology | 3782f1841e5205f76a122b7e8ceb9c65ace06088 | 0abdf5a61414459fb0833f39b4d04c3528404454 | refs/heads/master | 1,584,570,674,323 | 1,527,526,729,000 | 1,527,526,729,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 6,001 | lean | import analysis.real
import analysis.limits
import norms
import continuous_linear_maps
noncomputable theory
local attribute [instance] classical.prop_decidable
open filter is_bounded_linear_map
local notation f `→_{`:50 a `}`:0 b := filter.tendsto f (nhds a) (nhds b)
local notation `lim_{`:50 a`}`:0 f := lim (map f... |
01e5d85df7bb34b8f826a29f70f838c21997a0ef | 07c76fbd96ea1786cc6392fa834be62643cea420 | /hott/algebra/graph.hlean | 7817aa8da1c0020816f52d11e3da84aff5dcb2bb | [
"Apache-2.0"
] | permissive | fpvandoorn/lean2 | 5a430a153b570bf70dc8526d06f18fc000a60ad9 | 0889cf65b7b3cebfb8831b8731d89c2453dd1e9f | refs/heads/master | 1,592,036,508,364 | 1,545,093,958,000 | 1,545,093,958,000 | 75,436,854 | 0 | 0 | null | 1,480,718,780,000 | 1,480,718,780,000 | null | UTF-8 | Lean | false | false | 14,202 | hlean | /-
Copyright (c) 2016 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn
Graphs and operations on graphs
Currently we only define the notion of a path in a graph, and prove properties and operations on
paths.
-/
open eq sigma nat
/-
... |
750e3a1d318452e5d3b7abfb11074340fef11bf5 | bbecf0f1968d1fba4124103e4f6b55251d08e9c4 | /src/data/equiv/local_equiv.lean | d2b2758f5e6ad00a9316b004ece525dcc849d158 | [
"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 | 33,890 | lean | /-
Copyright (c) 2019 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import data.equiv.basic
import data.set.function
/-!
# Local equivalences
This files defines equivalences between subsets of given types.
An element `e` of `l... |
a7fbeb81aec024261a0d66f9c73be71ad8bf6fb1 | 556aeb81a103e9e0ac4e1fe0ce1bc6e6161c3c5e | /src/starkware/cairo/common/cairo_secp/verification/signature_recover_public_key_spec.lean | 34cf1cea39862b4be640fa908ea406bf0536d5ed | [] | permissive | starkware-libs/formal-proofs | d6b731604461bf99e6ba820e68acca62a21709e8 | f5fa4ba6a471357fd171175183203d0b437f6527 | refs/heads/master | 1,691,085,444,753 | 1,690,507,386,000 | 1,690,507,386,000 | 410,476,629 | 32 | 9 | Apache-2.0 | 1,690,506,773,000 | 1,632,639,790,000 | Lean | UTF-8 | Lean | false | false | 2,604 | lean | /-
Specifications file for signature_recover_public_key_spec.cairo
Do not modify the constant definitions, structure definitions, or automatic specifications.
Do not change the name or arguments of the user specifications and soundness theorems.
You may freely move the definitions around in the file.
You ma... |
8469165c52d4b2399571dd1c9527b2d84ffff931 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/linear_algebra/linear_independent.lean | 6909aa5e94a1d6907233ff0996a2aa7e4f775b9b | [
"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 | 57,222 | lean | /-
Copyright (c) 2020 Anne Baanen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro, Alexander Bentkamp, Anne Baanen
-/
import linear_algebra.finsupp
import linear_algebra.prod
import logic.equiv.fin
import set_theory.cardinal.basic
/-!
#... |
b2e4d0749d5bfd31da2b3f2c73aff7b57da679e0 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/eqn_issue.lean | c1ba39156f689c89264c6b6f9642283a34781f75 | [
"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 | 200 | lean | universe variable u
variable {α : Type u}
def split : list α → list α × list α
| [] := ([], [])
| [a] := ([a], [])
| (a :: b :: l) := (a :: (split l).1, b :: (split l).2)
|
caf1e4f2f054f17e2430205ce2357e880d72df79 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/field_theory/finite/polynomial.lean | 75cdcd888409b8a205ebc3aa859a2abc5bfeae2f | [] | 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 | 4,174 | lean | /-
Copyright (c) 2020 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.field_theory.finite.basic
import Mathlib.field_theory.mv_polynomial
import Mathlib.data.mv_... |
90aa1525f39c2257e62b246da5f3807c8cb3e437 | 4f9ca1935adf84f1bae9c5740ec1f2ad406716fa | /src/topology/algebra/module.lean | d6db00c9ad1c4bf9272139f15b91387693e5132d | [
"Apache-2.0"
] | permissive | matthew-hilty/mathlib | 36fd7db866365e9ee4a0ba1d6f8ad34d068cec6c | 585e107f9811719832c6656f49e1263a8eef5380 | refs/heads/master | 1,607,100,509,178 | 1,578,151,707,000 | 1,578,151,707,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 17,942 | lean | /-
Copyright (c) 2019 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jan-David Salchow, Sébastien Gouëzel, Jean Lo
-/
import topology.algebra.ring linear_algebra.basic ring_theory.algebra
/-!
# Theory of topological modules and continuous linear m... |
42f91876f5a440e0834ebcdf4b812157e6b6df7d | 130c49f47783503e462c16b2eff31933442be6ff | /stage0/src/Lean/Meta/Tactic/Simp/SimpLemmas.lean | 415204496e7cffb7c181a747077328dd5a7d5673 | [
"Apache-2.0"
] | permissive | Hazel-Brown/lean4 | 8aa5860e282435ffc30dcdfccd34006c59d1d39c | 79e6732fc6bbf5af831b76f310f9c488d44e7a16 | refs/heads/master | 1,689,218,208,951 | 1,629,736,869,000 | 1,629,736,896,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 12,366 | 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.ScopedEnvExtension
import Lean.Util.Recognizers
import Lean.Meta.LevelDefEq
import Lean.Meta.DiscrTree
import Lean.Meta.AppBuilder
import Lean.M... |
3f9d69c90a75089c48533069c7b548e7674693a9 | 947fa6c38e48771ae886239b4edce6db6e18d0fb | /src/data/matrix/kronecker.lean | 4b3c9b9eab590976026b2307743a33fa1efe4992 | [
"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 | 15,602 | lean | /-
Copyright (c) 2021 Filippo A. E. Nuccio. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Filippo A. E. Nuccio, Eric Wieser
-/
import data.matrix.basic
import linear_algebra.tensor_product
import ring_theory.tensor_product
/-!
# Kronecker product of matrices
This d... |
4224f1758dfbb02218803ef1f0234cbf32efeb8a | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/analysis/normed_space/star/matrix.lean | 62fc8b30f360637ca969e1626faddbd012481a61 | [
"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 | 2,466 | lean | /-
Copyright (c) 2022 Hans Parshall. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Hans Parshall
-/
import analysis.matrix
import analysis.normed_space.basic
import data.complex.is_R_or_C
import linear_algebra.unitary_group
/-!
# Unitary matrices
This file collects ... |
127dec992483409e5d1cf62bcb91d214f67d8d3d | eb9357a70318e50e095b58730bebfe0cffee457f | /lean/love03_forward_proofs_exercise_sheet.lean | 460ffe16c6ec7e0f50002facfaa7920345ba626c | [] | no_license | Vierkantor/logical_verification_2021 | 7485dd916953131d501760f023d5b30fbb74d36a | 9500b9c194e22a9ab4067321cfed7a1f445afcfc | refs/heads/main | 1,692,560,845,086 | 1,624,721,275,000 | 1,624,721,275,000 | 416,354,079 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,171 | lean | import .lovelib
/-! # LoVe Exercise 3: Forward Proofs -/
set_option pp.beta true
set_option pp.generalized_field_notation false
namespace LoVe
/-! ## Question 1: Connectives and Quantifiers
1.1. Supply structured proofs of the following lemmas. -/
lemma I (a : Prop) :
a → a :=
sorry
lemma K (a b : Prop) :
... |
bd5f83e6e16bd1440fb14f6ff0ee70fb769e2d63 | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /src/Init/Conv.lean | bc19809f2528edaf9d72d53dac6d9c8fbede7963 | [
"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 | 8,312 | 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
Notation for operators defined at Prelude.lean
-/
prelude
import Init.NotationExtra
namespace Lean.Parser.Tactic.Conv
/-- `conv` is the syntax category for ... |
ba81be9c2a4990f23b01f1ed3cddf510e4d3c25e | 7cef822f3b952965621309e88eadf618da0c8ae9 | /src/data/list/min_max.lean | 4e618b11f21c9768eca14a6e565471324182060b | [
"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 | 11,240 | lean | /-
Copyright (c) 2019 Minchao Wu. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Minchao Wu, Chris Hughes
-/
import data.list.basic
/-
# Minimum and maximum of lists
## Main definitions
The main definitions are `argmax`, `argmin`, `minimum` and `maximum` for lists.
... |
4bffbabe4a941e26daf50755931cf4497619f825 | 77c5b91fae1b966ddd1db969ba37b6f0e4901e88 | /src/measure_theory/measure/with_density_vector_measure.lean | ce413647f600edf65c30c6a5a5821c1ae13444fb | [
"Apache-2.0"
] | permissive | dexmagic/mathlib | ff48eefc56e2412429b31d4fddd41a976eb287ce | 7a5d15a955a92a90e1d398b2281916b9c41270b2 | refs/heads/master | 1,693,481,322,046 | 1,633,360,193,000 | 1,633,360,193,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 8,782 | lean | /-
Copyright (c) 2021 Kexing Ying. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kexing Ying
-/
import measure_theory.measure.vector_measure
import measure_theory.function.ae_eq_of_integral
/-!
# Vector measure defined by an integral
Given a measure `μ` and an inte... |
e97f18ca7d6b889158584148dbcf1a0288cc6a12 | e898bfefd5cb60a60220830c5eba68cab8d02c79 | /uexp/src/uexp/SDP.lean | b571d18866cbb8a2b3aa9f522463bc7f82561ef3 | [
"BSD-2-Clause"
] | permissive | kkpapa/Cosette | 9ed09e2dc4c1ecdef815c30b5501f64a7383a2ce | fda8fdbbf0de6c1be9b4104b87bbb06cede46329 | refs/heads/master | 1,584,573,128,049 | 1,526,370,422,000 | 1,526,370,422,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 10,372 | lean | import .sql
import .tactics
import .u_semiring
import .extra_constants
import .cosette_tactics
import .TDP
-- assume there is only sig inside squash
lemma sig2_distr_plus {s₁ s₂ : Schema} {f₁ f₂ : Tuple s₁ → Tuple s₂ → usr} :
(∑ t₁ t₂ , f₁ t₁ t₂ + f₂ t₁ t₂) = (∑ t₁ t₂ , f₁ t₁ t₂) + (∑ t₁ t₂, f₂ t₁ t₂) :=
begin
... |
0f76aed203b2c8fefbf0ea606d11d3724a147956 | 5ae26df177f810c5006841e9c73dc56e01b978d7 | /src/data/nat/cast.lean | ad1339c3cb4da721b404b165ba3b4ac05b66dc00 | [
"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 | 4,458 | lean | /-
Copyright (c) 2014 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
Natural homomorphism from the natural numbers into a monoid with one.
-/
import tactic.interactive algebra.order algebra.ordered_group algebra.ring
import tactic.norm_c... |
ba3f8fffe7847b78bb190f8675113523b413aba3 | 31f556cdeb9239ffc2fad8f905e33987ff4feab9 | /src/Lean/Compiler/LCNF/Passes.lean | e0494f84e1e6b93e8c5765f58c1d0b18076dffc7 | [
"Apache-2.0",
"LLVM-exception",
"NCSA",
"LGPL-3.0-only",
"LicenseRef-scancode-inner-net-2.0",
"BSD-3-Clause",
"LGPL-2.0-or-later",
"Spencer-94",
"LGPL-2.1-or-later",
"HPND",
"LicenseRef-scancode-pcre",
"ISC",
"LGPL-2.1-only",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | tobiasgrosser/lean4 | ce0fd9cca0feba1100656679bf41f0bffdbabb71 | ebdbdc10436a4d9d6b66acf78aae7a23f5bd073f | refs/heads/master | 1,673,103,412,948 | 1,664,930,501,000 | 1,664,930,501,000 | 186,870,185 | 0 | 0 | Apache-2.0 | 1,665,129,237,000 | 1,557,939,901,000 | Lean | UTF-8 | Lean | false | false | 3,082 | lean | /-
Copyright (c) 2022 Henrik Böving. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Henrik Böving
-/
import Lean.Compiler.LCNF.PassManager
import Lean.Compiler.LCNF.PullLetDecls
import Lean.Compiler.LCNF.CSE
import Lean.Compiler.LCNF.Simp
import Lean.Compiler.LCNF.Pull... |
bcbb5de5c32087746d60f8303d87e3ffd747f2a2 | 69d4931b605e11ca61881fc4f66db50a0a875e39 | /src/category_theory/opposites.lean | 7992686d0a0bc19d72f6e53c528b47286a70b386 | [
"Apache-2.0"
] | permissive | abentkamp/mathlib | d9a75d291ec09f4637b0f30cc3880ffb07549ee5 | 5360e476391508e092b5a1e5210bd0ed22dc0755 | refs/heads/master | 1,682,382,954,948 | 1,622,106,077,000 | 1,622,106,077,000 | 149,285,665 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 14,825 | 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 category_theory.types
import category_theory.equivalence
universes v₁ v₂ u₁ u₂ -- morphism levels before object levels. See note [category_the... |
ee81f8cb307670442c7eaca41cad50e31867226f | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/linear_algebra/free_module_pid.lean | 41d03b3aa88c0f984cd216589c6fe1a0944d9e00 | [
"Apache-2.0"
] | permissive | jjgarzella/mathlib | 96a345378c4e0bf26cf604aed84f90329e4896a2 | 395d8716c3ad03747059d482090e2bb97db612c8 | refs/heads/master | 1,686,480,124,379 | 1,625,163,323,000 | 1,625,163,323,000 | 281,190,421 | 2 | 0 | Apache-2.0 | 1,595,268,170,000 | 1,595,268,169,000 | null | UTF-8 | Lean | false | false | 17,772 | lean | /-
Copyright (c) 2020 Anne Baanen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Anne Baanen
-/
import linear_algebra.basis
import linear_algebra.finsupp_vector_space
import ring_theory.principal_ideal_domain
import ring_theory.finiteness
/-! # Free modules over PID
... |
62cfa14e462454adaa791b806a282696135b815b | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/ring_theory/polynomial/bernstein.lean | 58432174dad0e5c7b1cea331b1359c43523901d7 | [
"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 | 15,835 | 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.polynomial.derivative
import data.polynomial.algebra_map
import data.mv_polynomial.pderiv
import data.nat.choose.sum
import linear_algebra.basis
import ri... |
39a05d32a214bf6a211f2f3e3d3f78dad31104da | 03bd658c402412f41d3026d1040ee8ca8c0fc579 | /src/list/modify/basic.lean | e785bb2cb6870f404881318855052ea0cde6dacd | [] | 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 | 14,781 | lean | import data.list.basic tactic.linarith
import list.lemmas.long_lemmas
open list
/--Two lists are equal except one entry differs by at most d-/
structure list.modify (A : list ℤ) (B : list ℤ) (d : ℤ) :=
(n : ℕ) --entry in which the lists differ
(ha : n < A.length)
(hb : n < B.length)
(heq : A.remove_nth n = B.remove... |
76042cfaedf19932dbd0fa8d4d968c2b7aad4f89 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/category_theory/skeletal.lean | 2992995d7999e64cef45fc4d5517554fc02dc13d | [
"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 | 10,873 | lean | /-
Copyright (c) 2020 Bhavik Mehta. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Bhavik Mehta
-/
import category_theory.adjunction.basic
import category_theory.category.preorder
import category_theory.isomorphism_classes
import category_theory.thin
/-!
# Skeleton of... |
3bc6942a83d9a14246313b44167223a5e2f01bfa | fffbc47930dc6615e66ece42324ce57a21d5b64b | /src/tactic/basic.lean | 0841ac6a52f5169234d72c724fc43a09510191c1 | [
"Apache-2.0"
] | permissive | skbaek/mathlib | 3caae8ae413c66862293a95fd2fbada3647b1228 | f25340175631cdc85ad768a262433f968d0d6450 | refs/heads/master | 1,588,130,123,636 | 1,558,287,609,000 | 1,558,287,609,000 | 160,935,713 | 0 | 0 | Apache-2.0 | 1,544,271,146,000 | 1,544,271,146,000 | null | UTF-8 | Lean | false | false | 342 | lean | import
tactic.alias
tactic.cache
tactic.converter.interactive
tactic.core
tactic.ext
tactic.generalize_proofs
tactic.interactive
tactic.library_search
tactic.mk_iff_of_inductive_prop
tactic.rcases
tactic.replacer
tactic.restate_axiom
tactic.rewrite
tactic.simpa
tactic.split_ifs
tactic.sq... |
b9c0a439cfd946c3bb45aadd3cd32a357d2dc9f0 | d1a52c3f208fa42c41df8278c3d280f075eb020c | /src/Init/Data/Repr.lean | 5472c750182aa7efe5adec73f294e03f171c50db | [
"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 | 6,888 | lean | /-
Copyright (c) 2016 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.Format.Basic
import Init.Data.Int.Basic
import Init.Data.Nat.Div
import Init.Data.UInt
import Init.Control.Id
open Sum Subtype Nat
... |
fe4e17c168362ebe00f8856bda9d9d7c4bfff5a5 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/ring_theory/valuation/basic.lean | 2b18aa0d9744122c86118cb6fd3498e6a6588a9a | [
"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 | 24,967 | lean | /-
Copyright (c) 2020 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kevin Buzzard, Johan Commelin, Patrick Massot
-/
import algebra.group_power
import algebra.order.with_zero
import algebra.punit_instances
import ring_theory.ideal.operations
/-!
# T... |
14ab8c95c06fef5d133c99a25322e1224dc043b8 | 572fb32b6f5b7c2bf26921ffa2abea054cce881a | /src/week_1/Part_C_functions.lean | 56ca6067155ca1c669cf5d33ac4fb805d680b7ef | [
"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 | 3,208 | lean | import tactic
-- injective and surjective functions are already in Lean.
-- They are called `function.injective` and `function.surjective`.
-- It gets a bit boring typing `function.` a lot so we start
-- by opening the `function` namespace
open function
-- We now move into the `xena` namespace
namespace xena
-- le... |
91b1d8e525959b446c842c27dc2dd66bc2ca5114 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/inliner_loop.lean | d95128c84c09015aae9db09eb74441bee73bfe5f | [
"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 | 140 | lean |
unsafe inductive t
| mk : (t → t) → t
unsafe def loop' : t → t
| t.mk f => f (t.mk f)
unsafe def loop : t :=
loop' (t.mk loop')
|
4c90a71b195d8dac4393c4a2a312902272ae0b61 | a7eef317ddec01b9fc6cfbb876fe7ac00f205ac7 | /src/ring_theory/noetherian.lean | b0f1a334e3b2c5ca8aa442ebd58a6ebe3acd5de4 | [
"Apache-2.0"
] | permissive | kmill/mathlib | ea5a007b67ae4e9e18dd50d31d8aa60f650425ee | 1a419a9fea7b959317eddd556e1bb9639f4dcc05 | refs/heads/master | 1,668,578,197,719 | 1,593,629,163,000 | 1,593,629,163,000 | 276,482,939 | 0 | 0 | null | 1,593,637,960,000 | 1,593,637,959,000 | null | UTF-8 | Lean | false | false | 23,074 | 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 ring_theory.ideal_operations
import linear_algebra.basis
/-!
# Noetherian rings and modules
The following are equivalent for... |
058a852218619a28d17b6d6f9e32932f65b08cae | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/topology/instances/real_vector_space.lean | 82fa5979dff9a44c7b63b2a9a176199e72db6015 | [
"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 | 2,412 | 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 topology.algebra.module.basic
import topology.instances.real
/-!
# Continuous additive maps are `ℝ`-linear
In this file we prove that a continuous map `f :... |
310637cfaec0c3bf2d0d33f05dfa8199e0fae063 | b2fe74b11b57d362c13326bc5651244f111fa6f4 | /src/linear_algebra/affine_space/affine_subspace.lean | 076914ca31013d490e4a4411c8d53f8becd7a984 | [
"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 | 44,314 | lean | /-
Copyright (c) 2020 Joseph Myers. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Joseph Myers.
-/
import linear_algebra.affine_space.basic
import linear_algebra.tensor_product
import data.set.intervals.unordered_interval
/-!
# Affine spaces
This file defines affine ... |
29e96694f5113af24b8a75eb28d527e0c8f12eb3 | 5756a081670ba9c1d1d3fca7bd47cb4e31beae66 | /Mathport/Syntax/Translate/Parser.lean | dbe0017566965e1b39e0bc76bf1de52ccc1ddeee | [
"Apache-2.0"
] | permissive | leanprover-community/mathport | 2c9bdc8292168febf59799efdc5451dbf0450d4a | 13051f68064f7638970d39a8fecaede68ffbf9e1 | refs/heads/master | 1,693,841,364,079 | 1,693,813,111,000 | 1,693,813,111,000 | 379,357,010 | 27 | 10 | Apache-2.0 | 1,691,309,132,000 | 1,624,384,521,000 | Lean | UTF-8 | Lean | false | false | 12,710 | lean | /-
Copyright (c) 2021 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
import Mathport.Syntax.AST3
import Mathlib.Mathport.Syntax
open Lean hiding Expr Command
open Lean.Elab Tactic
namespace Mathport
namespace Translate
open A... |
bf6a5564d8bacadb6ad13df3b34ed45cb10bdcb6 | 94e33a31faa76775069b071adea97e86e218a8ee | /src/analysis/normed_space/ray.lean | 992d0ead9f6670da8222f3532eff100029baaaab | [
"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 | 4,658 | lean | /-
Copyright (c) 2022 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov, Yaël Dillies
-/
import linear_algebra.ray
import analysis.normed_space.basic
/-!
# Rays in a real normed vector space
In this file we prove some lemmas about the `s... |
e6bbb54d4dee58a240d9d3867d44e37a2a73644b | 682dc1c167e5900ba3168b89700ae1cf501cfa29 | /src/basicmodal/paths.lean | 31264bb7cbe6165f6874e905ba98bb06ba5d72a0 | [] | no_license | paulaneeley/modal | 834558c87f55cdd6d8a29bb46c12f4d1de3239bc | ee5d149d4ecb337005b850bddf4453e56a5daf04 | refs/heads/master | 1,675,911,819,093 | 1,609,785,144,000 | 1,609,785,144,000 | 270,388,715 | 13 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 2,547 | lean | /-
Copyright (c) 2021 Paula Neeley. All rights reserved.
Author: Paula Neeley
-/
import data.list data.set.basic
variable {α : Type*}
def path (R : α → α → Prop) : α → list α → Prop
| x [] := true
| x (y::ys) := R x y ∧ path y ys
def last (R : α → α → Prop) : α → list α → α
| x [] := x
| x (y::ys) := la... |
7921a9ebb142a73546bc3111b0322ef3ac725359 | 534c92d7322a8676cfd1583e26f5946134561b54 | /src/Exercises/02_and_or_forall_exists/ch02all.lean | 176d79c7e0919a275902ffcd6e997f901fcc2ea0 | [
"Apache-2.0"
] | permissive | kbuzzard/mathematics-in-lean | 53f387174f04d6077f434e27c407aee9425837f7 | 3fad7bb7e888dabef94921101af8671b78a4304a | refs/heads/master | 1,586,812,457,439 | 1,546,893,744,000 | 1,546,893,744,000 | 163,450,734 | 8 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,071 | lean | variables p q r : Prop
example : p ∨ q → q ∨ p :=
begin
sorry
end
example : p ∨ (q ∨ r) → (p ∨ q) ∨ r :=
begin
sorry
end
example : p ∧ q → q ∧ p :=
begin
sorry
end
example : p ∧ (q ∧ r) → (p ∧ q) ∧ r :=
begin
sorry
end
example : p ∧ (q ∨ r) ↔ (p ∧ q) ∨ (p ∧ r) :=
begin
sorry
end
example : ¬ (p ∧ q) ↔ ¬ ... |
be57a1142d05704f8ff46cd8b07028a5408518b7 | d1a52c3f208fa42c41df8278c3d280f075eb020c | /src/Lean/Compiler/InlineAttrs.lean | ef4f9615154073cda41b6e93288d67bc0082363f | [
"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 | 2,242 | 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.Attributes
import Lean.Compiler.Util
namespace Lean.Compiler
inductive InlineAttributeKind where
| inline | noinline | macroInline | inlineI... |
5fc01c967f30d4e84d6a3b5f519303a0ed1ccb5e | c777c32c8e484e195053731103c5e52af26a25d1 | /src/ring_theory/dedekind_domain/selmer_group.lean | f729e75d1c898b6e513b2fe3c5dfd27a1e700661 | [
"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 | 9,743 | lean | /-
Copyright (c) 2022 David Kurniadi Angdinata. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: David Kurniadi Angdinata
-/
import algebra.hom.equiv.type_tags
import data.zmod.quotient
import ring_theory.dedekind_domain.adic_valuation
import ring_theory.norm
/-!
# Selm... |
bc5873542e3f73c8e92dc72f23f3972863c165de | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/category_theory/sites/dense_subsite.lean | 219c23c20a391c0c3c2451e87a62a50a52a47b22 | [
"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 | 16,390 | lean | /-
Copyright (c) 2021 Andrew Yang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Andrew Yang
-/
import category_theory.sites.sheaf
/-!
# Dense subsites
We define `cover_dense` functors into sites as functors such that there exists a covering sieve
that factors throu... |
f03111defcb1e5a05cfee9854df25cf52cba9aa8 | c777c32c8e484e195053731103c5e52af26a25d1 | /src/topology/sheaves/stalks.lean | f6b7277e45807da29b0ba7a18dac76263267301d | [
"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 | 26,674 | lean | /-
Copyright (c) 2019 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison, Justus Springer
-/
import topology.category.Top.open_nhds
import topology.sheaves.presheaf
import topology.sheaves.sheaf_condition.unique_gluing
import category_theory.... |
9bf3baa785df49f4759de409f763d431b5fcef4f | 26ac254ecb57ffcb886ff709cf018390161a9225 | /src/topology/order.lean | 87203e563e30f032f85515d2da0e150bbae75a85 | [
"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 | 27,637 | 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 topology.basic
/-!
# Ordering on topologies and (co)induced topologies
Topologies on a fixed type `α` are ordered, by reverse inclusion.
That... |
aba4e3d0ecfbf7d8042d92e0c9c6a7f8949fbfef | 36938939954e91f23dec66a02728db08a7acfcf9 | /lean4/app/Main.lean | 9e915c482e2476b6bada4d518e654703beb5ece5 | [] | no_license | pnwamk/reopt-vcg | f8b56dd0279392a5e1c6aee721be8138e6b558d3 | c9f9f185fbefc25c36c4b506bbc85fd1a03c3b6d | refs/heads/master | 1,631,145,017,772 | 1,593,549,019,000 | 1,593,549,143,000 | 254,191,418 | 0 | 0 | null | 1,586,377,077,000 | 1,586,377,077,000 | null | UTF-8 | Lean | false | false | 2,632 | lean |
import ReoptVCG.Annotations
import ReoptVCG.ReoptVCG
open ReoptVCG
-- Modes of execution for `reopt-vcg`
inductive VCGCmd
| showHelp : VCGCmd
| runVCG : VCGConfig → VCGCmd
-- A container to accumulate user-provided command line arguments in
-- while the are being processed.
structure VCGArgs :=
(annFile : Option ... |
92976269eaeb72ace8d0efd2134c4bbca8fad47c | 9028d228ac200bbefe3a711342514dd4e4458bff | /src/algebra/group_power/lemmas.lean | 247b6e0e2cb4bdc69ddf3c7059e5850c2394ad4a | [
"Apache-2.0"
] | permissive | mcncm/mathlib | 8d25099344d9d2bee62822cb9ed43aa3e09fa05e | fde3d78cadeec5ef827b16ae55664ef115e66f57 | refs/heads/master | 1,672,743,316,277 | 1,602,618,514,000 | 1,602,618,514,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 22,167 | lean | /-
Copyright (c) 2015 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Robert Y. Lewis
-/
import algebra.group_power.basic
import algebra.opposites
import data.list.basic
import data.int.cast
import data.equiv.basic
import deprecated.group
... |
46e7d6caaf7a79299e61e140b6f04ce764d442ea | 271e26e338b0c14544a889c31c30b39c989f2e0f | /tests/lean/run/typeclass_metas_internal_goals.lean | f6713d80a81a431fffbe3b96ce4687d50dba042f | [
"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 | 1,915 | lean | #exit
namespace T1
class Foo (α : Type) : Type := (u : Unit := ())
class Bar (α : Type) : Type := (u : Unit := ())
class Top : Type := (u : Unit := ())
instance FooAll (α : Type) : Foo α := {u:=()}
instance BarNat : Bar Nat := {u:=()}
instance FooBarToTop (α : Type) [Foo α] [Bar α] : Top := {u:=()}
#synth Top
end... |
6adeffdcdf4a2d62f3c50fb0be31bf5b6f839a18 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/tactic/simpa.lean | 2f90df9cf89d138e31655ce044b938b90f8fe2d6 | [
"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 | 2,408 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
import tactic.doc_commands
open interactive
open interactive.types
namespace tactic
namespace interactive
open expr lean.parser
local postfix `?`:9001 := optional
... |
a6464cb3b5e3326d82b15d3de49783f0667344af | 9dd3f3912f7321eb58ee9aa8f21778ad6221f87c | /library/tools/super/clause_ops.lean | 6cafed207737921e57033f87b53c00104905f59f | [
"Apache-2.0"
] | permissive | bre7k30/lean | de893411bcfa7b3c5572e61b9e1c52951b310aa4 | 5a924699d076dab1bd5af23a8f910b433e598d7a | refs/heads/master | 1,610,900,145,817 | 1,488,006,845,000 | 1,488,006,845,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,429 | lean | /-
Copyright (c) 2016 Gabriel Ebner. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gabriel Ebner
-/
import .clause
open monad tactic expr
namespace super
local attribute [instance] has_monad_lift_to_has_coe
meta def on_left_at {m} [monad m] (c : clause) (i : ℕ)
... |
8afad18cebff2123813e841d237f27c9e72142e8 | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /stage0/src/Lean/Elab/Tactic/Location.lean | 6ae34f3678a7ac887ed940dc4bb9aa21876ce83b | [
"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 | 2,232 | 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.Elab.Tactic.Basic
import Lean.Elab.Tactic.ElabTerm
namespace Lean.Elab.Tactic
/-- Denotes a set of locations where a tactic should be applied ... |
bb40d0e23ecb34d65f08b829a25b9757d0c3f85c | 3705439886316285035ef1fd985632bc87eb06e7 | /LeanProto.lean | 2d9b13a3e5cd06b8c32ef3eb5eadf2efe0442361 | [
"MIT"
] | permissive | zygi/lean-proto | ce74f29d33f12f240878f0f8cbe4960c41b70fcb | 4d64844d8978c68c8038886013d33048c23a7674 | refs/heads/master | 1,680,996,798,349 | 1,618,444,323,000 | 1,618,444,323,000 | 342,923,095 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 29,026 | lean | import Init.Data.ByteArray
import Init.Data.UInt
import AssertCmd
import LeanProtoNativeHelpers
-- TODO list:
-- ) It would be much easier if Int32/64 were wrapped
namespace LeanProto
namespace Utils
def byteArrayToHex(b: ByteArray) : String :=
let parts := b.data.map (fun x => String.singleton (Nat.digitChar (x.... |
e109d92d2e5c94010366ab9c8591d017b5fc9924 | 0845ae2ca02071debcfd4ac24be871236c01784f | /tests/bench/deriv.lean | fece04381c411b9df9a660f953d742bd364bf120 | [
"Apache-2.0"
] | permissive | GaloisInc/lean4 | 74c267eb0e900bfaa23df8de86039483ecbd60b7 | 228ddd5fdcd98dd4e9c009f425284e86917938aa | refs/heads/master | 1,643,131,356,301 | 1,562,715,572,000 | 1,562,715,572,000 | 192,390,898 | 0 | 0 | null | 1,560,792,750,000 | 1,560,792,749,000 | null | UTF-8 | Lean | false | false | 2,831 | lean | /- Benchmark for new code generator -/
inductive Expr
| Val : Int → Expr
| Var : String → Expr
| Add : Expr → Expr → Expr
| Mul : Expr → Expr → Expr
| Pow : Expr → Expr → Expr
| Ln : Expr → Expr
open Expr
partial def pown : Int → Int → Int
| a 0 := 1
| a 1 := a
| a n :=
let b := pown a (n / 2) in
b * b * (if n %... |
f13e1e8e4751f2d796ee06be594d9c90035a68ef | a6b711a4e8db20755026231f7ed529a9014b2b6d | /ZZ_IGNORE/S17/class-s17/Exam2/Exam2.lean | 36062f8facb405bf045a86c2ae2724369be57d6a | [] | no_license | chaseboettner/cs-dm-1 | b67d4a7e86f56bce59d2af115503769749d423b2 | 80b35f2957ffaa45b8b7a4479a3570a2d6eb4db0 | refs/heads/master | 1,585,367,603,488 | 1,536,235,675,000 | 1,536,235,675,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,095 | lean | /-
This is Exam2 for CS2101, Spring 2018 (Sullivan).
COLLABORATION POLICY: NO COLLABORATION ALLOWED.
This is an individual evaluation. You are not
allowed to communicate with *anyone* about this
exam, except the instructor, by any means, until
you have completed and submitted the exam and
anyone you're communicatin... |
4542ed4fe9ed7ec6d52da75d9bba968da63c6a80 | 35677d2df3f081738fa6b08138e03ee36bc33cad | /src/algebra/group/default.lean | 317094a9fe77ebc8d1439a7284e0b26684155856 | [
"Apache-2.0"
] | permissive | gebner/mathlib | eab0150cc4f79ec45d2016a8c21750244a2e7ff0 | cc6a6edc397c55118df62831e23bfbd6e6c6b4ab | refs/heads/master | 1,625,574,853,976 | 1,586,712,827,000 | 1,586,712,827,000 | 99,101,412 | 1 | 0 | Apache-2.0 | 1,586,716,389,000 | 1,501,667,958,000 | Lean | UTF-8 | Lean | false | false | 605 | lean | /-
Copyright (c) 2014 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Leonardo de Moura, Michael Howes
-/
import algebra.group.to_additive
import algebra.group.basic
import algebra.group.units
import algebra.group.hom
import algebra.group.... |
42c962599910876a7c3309f0fe5075a746a8930f | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/group_theory/monoid_localization.lean | ec0c6de6ffb5158a12d17bc3cdaeafd27e04dff5 | [] | 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 | 68,767 | lean | /-
Copyright (c) 2019 Amelia Livingston. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Amelia Livingston
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.group_theory.congruence
import Mathlib.group_theory.submonoid.default
import Mathlib.... |
b85214e7141c01c030529be64f6e9c96a419ebee | d1a52c3f208fa42c41df8278c3d280f075eb020c | /src/Lean/Elab/BindersUtil.lean | 9247ba043f8b405789b0b318bbb2dc958db26888 | [
"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 | 467 | 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
-/
namespace Lean.Elab.Term
/-
Recall that
```
def typeSpec := leading_parser " : " >> termParser
def optType : Parser := optional typeSpec
```
-/
de... |
9f40ea3605b3a5216d078fae5fc9e89e0c6c7699 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/algebra/hom/equiv.lean | 6c97f007cdda4dc1b870c5a404b27bce2cafa84d | [
"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 | 29,711 | 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 algebra.group.type_tags
import algebra.group_with_zero.basic
import data.pi.algebra
/-!
# Multiplicative and additive equivs
... |
8cb377433a3e9085e875607ecf343e6970e1de71 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/quot_abuse2.lean | 0bc93c3f099e9e2e915c7ed10940f09517413b19 | [
"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 | 158 | lean | prelude
init_quotient
/- definit eq as the empty type -/
inductive {u} eq {α : Sort u} (a : α) : α → Sort 0
| refl : ∀ (b : α), eq b
init_quotient
|
ab6a15c946dba30bbba6c559730fdff480688db5 | 1890046a4987fbd27f3f50dbac83f3ce095556d5 | /01_Equality/03_type_inference.lean | 1d1802a759be778bf58e320bd7ffe74be1177c19 | [] | no_license | kbhuynh/cs-dm | 9f335727d1779f7c3d9e8221a52b4c9c106659ba | 4041bd73618a49ef6870a1a80764e8947e60e768 | refs/heads/master | 1,585,353,017,958 | 1,536,055,215,000 | 1,536,055,215,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,312 | lean | /- Type Inference -/
/-
Now as we've seen, given a value, t, of some type,
T, Lean can tell us what T is. The #check command
tells us the type of any value or expression. The
key observation is that if you give Lean a value,
Lean can determine its type.
We can use the ability of Lean to determine the
types of given... |
c5d27ee65b811250941387a5ec1359e9dbda454d | 453dcd7c0d1ef170b0843a81d7d8caedc9741dce | /data/set/basic.lean | 99347e5487bb6512600c1e5aaf992f86e1c8ff05 | [
"Apache-2.0"
] | permissive | amswerdlow/mathlib | 9af77a1f08486d8fa059448ae2d97795bd12ec0c | 27f96e30b9c9bf518341705c99d641c38638dfd0 | refs/heads/master | 1,585,200,953,598 | 1,534,275,532,000 | 1,534,275,532,000 | 144,564,700 | 0 | 0 | null | 1,534,156,197,000 | 1,534,156,197,000 | null | UTF-8 | Lean | false | false | 38,701 | lean | /-
Copyright (c) 2014 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Jeremy Avigad, Leonardo de Moura
-/
import tactic.ext tactic.finish data.subtype
open function
namespace set
universes u v w x
variables {α : Type u} {β : Type v} {γ : Type w} {ι : Sort... |
526ff630a5f2ff9611908270393f35cc6cb2fdee | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/bad_unification_hint.lean | 8720444b543f7313848f67e32e17e1e40cce056a | [
"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 | 723 | lean | -- Good hint
@[unify] def {u} cons_append_hint (α : Type u) (a b : α) (l₁ l₂ l₃: list α) : unification_hint :=
{ pattern := (a :: l₁) ++ l₂ =?= b :: l₃,
constraints := [l₃ =?= l₁ ++ l₂, a =?= b] }
-- Bad hint: pattern is incorrect
@[unify] def {u} append_cons_hint (α : Type u) (a b : α) (l₁ l₂ l₃: list α) : unif... |
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