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beb3008e33a7c6999440b3760b542b0a6976d3b1 | b70447c014d9e71cf619ebc9f539b262c19c2e0b | /hott/init/path.hlean | 408db14e64f1c3cf62ca7d4964aa9236582150ba | [
"Apache-2.0"
] | permissive | ia0/lean2 | c20d8da69657f94b1d161f9590a4c635f8dc87f3 | d86284da630acb78fa5dc3b0b106153c50ffccd0 | refs/heads/master | 1,611,399,322,751 | 1,495,751,007,000 | 1,495,751,007,000 | 93,104,167 | 0 | 0 | null | 1,496,355,488,000 | 1,496,355,487,000 | null | UTF-8 | Lean | false | false | 30,545 | hlean | /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Jakob von Raumer, Floris van Doorn
Ported from Coq HoTT
-/
prelude
import .function .tactic
open function eq
/- Path equality -/
namespace eq
variables {A ... |
b1e0a2fcb742c5f8b91da0740f667c53831aa309 | ae1e94c332e17c7dc7051ce976d5a9eebe7ab8a5 | /tests/lean/protected.lean | a077fc3e33928cdbfe0dd5340d3af426dc9f1518 | [
"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 | 1,023 | lean |
namespace Foo
protected def x := 10
end Foo
open Foo
#check x -- error unknown identifier `x`
#check Foo.x
namespace Bla.Foo
protected def y := 20
def z := 30
end Bla.Foo
open Bla
#check Foo.y
open Bla.Foo
#check y -- error unknown identifier `y`
#check z
protected def x := 0 -- Error
protected partial def F... |
7111a98b4bb5f7770e230331bd0658eeb18d8f22 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/eq22.lean | 1ea1a5daf338eff653f8fcce8539f0c34e31fcf5 | [
"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 | 221 | lean | open list
definition head {A : Type} : Π (l : list A), l ≠ nil → A
| nil h := absurd rfl h
| (a :: l) h := a
theorem head_cons {A : Type} (a : A) (l : list A) (h : a :: l ≠ nil) : head (a :: l) h = a :=
rfl
|
bfaab4bfef969422298a02a12343e79a3a7104e9 | 90bd8c2a52dbaaba588bdab57b155a7ec1532de0 | /src/instances/real_vector_space.lean | dfedc8483c272a58b66192cd24bbf3930a3a0b11 | [
"Apache-2.0"
] | permissive | shingtaklam1324/alg-top | fd434f1478925a232af45f18f370ee3a22811c54 | 4c88e28df6f0a329f26eab32bae023789193990e | refs/heads/master | 1,689,447,024,947 | 1,630,073,400,000 | 1,630,073,400,000 | 381,528,689 | 2 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 703 | lean | import contractible.basic
import homotopy.straight_line
import analysis.normed_space.basic
/-!
# Instances on finite dimensional `ℝ`-vector spaces
In this file, we prove that for a `fintype` `ι`, `ι → ℝ` is contractible.
-/
noncomputable theory
variables {ι : Type _} [fintype ι]
instance real_vector_space.contract... |
74a59a18815b5c9b0049bd168275927300bed25a | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/number_theory/arithmetic_function.lean | 319e827b487e9df4956ecc3089e94e1396c65428 | [
"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 | 33,127 | lean | /-
Copyright (c) 2020 Aaron Anderson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Aaron Anderson
-/
import algebra.big_operators.ring
import number_theory.divisors
import algebra.squarefree
import algebra.invertible
import data.nat.factorization
/-!
# Arithmetic Fu... |
da68c43e71c3edfa2ea9184d178ef97523835308 | 0c1546a496eccfb56620165cad015f88d56190c5 | /library/init/category/state.lean | ec51669c616de9d45338c42fa369e7a488caf151 | [
"Apache-2.0"
] | permissive | Solertis/lean | 491e0939957486f664498fbfb02546e042699958 | 84188c5aa1673fdf37a082b2de8562dddf53df3f | refs/heads/master | 1,610,174,257,606 | 1,486,263,620,000 | 1,486,263,620,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,140 | 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.logic init.category.monad
def state (σ : Type) (α : Type) : Type :=
σ → α × σ
section
variables {σ : Type} {α β : Type}
@[inline] def... |
1f3e8053186e94fdabd99f0aecc479fb40a36db8 | d1a52c3f208fa42c41df8278c3d280f075eb020c | /tests/lean/run/KyleAlg.lean | 4237febb3b813f74f975b0c9d66961f996947e75 | [
"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 | 8,448 | lean | import Lean
/- from core:
class OfNat (α : Type u) (n : Nat) where
ofNat : α
class Mul (α : Type u) where
mul : α → α → α
class Add (α : Type u) where
add : α → α → α
-/
class Inv (α : Type u) where
inv : α → α
postfix:max "⁻¹" => Inv.inv
class One (α : Type u) where
one : α
export One (one)
instance... |
eb6d34ac235ce8d7b88c2433b0f40055589e1f4b | a4673261e60b025e2c8c825dfa4ab9108246c32e | /tests/lean/run/hmulDefaultIntance.lean | fa53cd9334f668ffc49e57db3914094a3e651eef | [
"Apache-2.0"
] | permissive | jcommelin/lean4 | c02dec0cc32c4bccab009285475f265f17d73228 | 2909313475588cc20ac0436e55548a4502050d0a | refs/heads/master | 1,674,129,550,893 | 1,606,415,348,000 | 1,606,415,348,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 319 | lean | class HMul (α β : Type _) (γ : outParam (Type _)) where
hmul : α → β → γ
@[defaultInstance]
instance [Mul α] : HMul α α α where
hmul a b := a * b
infix:70 "*'" => HMul.hmul
instance : HMul Nat Bool Nat where
hmul
| x, true => x
| x, false => 0
#check 10 *' true
#check fun x => x *' 1
|
1cfc7076142fa89b1c9cdb0f30966cda33ba7119 | 097294e9b80f0d9893ac160b9c7219aa135b51b9 | /instructor/predicate_logic/propositions_as_types.lean | 46e4ec8454f6434215e98cf7328197d91288ac36 | [] | 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 | 3,336 | lean |
-- Computational domain
#check nat
#check 1
#check string
#check "hello"
#check bool
#check tt
-- "computational" types of type, Type (aka Sort 1)
-- Logical domain
#check true
#print true
def a_proof_of_nat : ℕ := 8
theorem a_proof_of_true : true := true.intro
#check false
#check (eq 1) 1 -- eq predicate app... |
20a98ee86befd050972b365df001691a12427055 | 8d65764a9e5f0923a67fc435eb1a5a1d02fd80e3 | /src/ring_theory/subsemiring.lean | 551ebc6deed1e9e1bf8934aa5af0f850d5c74b74 | [
"Apache-2.0"
] | permissive | troyjlee/mathlib | e18d4b8026e32062ab9e89bc3b003a5d1cfec3f5 | 45e7eb8447555247246e3fe91c87066506c14875 | refs/heads/master | 1,689,248,035,046 | 1,629,470,528,000 | 1,629,470,528,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 32,366 | 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 algebra.ring.prod
import group_theory.submonoid
import data.equiv.ring
/-!
# Bundled subsemirings
We define bundled subsemirings and some standard construc... |
86a9f8ab41f9cf8105ffc051193b9ec914b99395 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/ring_theory/local_properties.lean | 55d84571f12dffa67295b186d52200bd097c3ccd | [
"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 | 23,552 | 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 group_theory.submonoid.pointwise
import logic.equiv.transfer_instance
import ring_theory.finiteness
import ring_theory.localization.at_prime
import ring_theory.local... |
7b95f5be28ad6131c99b5721c0a1bacf28c19896 | d1a52c3f208fa42c41df8278c3d280f075eb020c | /tests/lean/run/simpInv.lean | 61f8dc9082deef8e75b60222b9ee4c0f67ad86c8 | [
"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 | 391 | lean | constant g (x y : Nat) : Nat
constant f (x y : Nat) : Nat
axiom f_def (x y : Nat) : f x y = g x y
axiom f_ax (x : Nat) : f x x = x
theorem ex1 (x : Nat) : g x x = x := by
simp [← f_def, f_ax]
constant p (x y : Nat) : Prop
constant q (x y : Nat) : Prop
axiom p_def (x y : Nat) : p x y ↔ q x y
axiom p_ax (x : Nat) : p... |
235b93b88581fef6d3664eb5a2b3be732ec960bd | 367134ba5a65885e863bdc4507601606690974c1 | /src/data/hash_map.lean | 71b9ddd75660d478cee72d337aba17b2b11634f7 | [
"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 | 29,705 | lean | /-
Copyright (c) 2017 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura, Mario Carneiro
-/
import data.pnat.basic
import data.list.range
import data.array.lemmas
import algebra.group
import data.sigma.basic
/-!
# Hash maps
Define... |
a9957488094eae20f874477ef863de2606a6ce70 | dd0f5513e11c52db157d2fcc8456d9401a6cd9da | /06_Inductive_Types.org.27.lean | 3e0d72964f6203fd6075c99a046e2624b499d493 | [] | no_license | cjmazey/lean-tutorial | ba559a49f82aa6c5848b9bf17b7389bf7f4ba645 | 381f61c9fcac56d01d959ae0fa6e376f2c4e3b34 | refs/heads/master | 1,610,286,098,832 | 1,447,124,923,000 | 1,447,124,923,000 | 43,082,433 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 290 | lean | /- page 86 -/
import standard
namespace hide
inductive nat : Type :=
| zero : nat
| succ : nat → nat
-- BEGIN
namespace nat
definition add (m n : nat) : nat :=
nat.rec_on n m (λ n add_m_n, succ add_m_n)
-- try it out
eval add (succ zero) (succ (succ zero))
end nat
-- END
end hide
|
076d46dd843a90eed4b9777f20b035d2c6ad3490 | abd85493667895c57a7507870867b28124b3998f | /src/data/set/basic.lean | 2b446a7dd3874eaf73343d0cba8273ff95b789a9 | [
"Apache-2.0"
] | permissive | pechersky/mathlib | d56eef16bddb0bfc8bc552b05b7270aff5944393 | f1df14c2214ee114c9738e733efd5de174deb95d | refs/heads/master | 1,666,714,392,571 | 1,591,747,567,000 | 1,591,747,567,000 | 270,557,274 | 0 | 0 | Apache-2.0 | 1,591,597,975,000 | 1,591,597,974,000 | null | UTF-8 | Lean | false | false | 67,214 | 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 tactic.basic
import tactic.finish
import data.subtype
import logic.unique
import data.prod
/-!
# Basic properties of sets
Sets in Lean are h... |
483c1abf908cb2eef31756cc70898770ef1d452c | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/data/finsupp/basic.lean | fb4b0f580a38bd6cd77c27dd947904440599f53e | [] | 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 | 79,782 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Scott Morrison
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.algebra.group.pi
import Mathlib.algebra.big_operators.order
import Mathlib.... |
e636465d1b2491dddea9286b8269070627708d65 | 9a0b1b3a653ea926b03d1495fef64da1d14b3174 | /tidy/rewrite_search/core/engine.lean | a20f33891405c3ae967133e14f5663609bdd0d42 | [
"Apache-2.0"
] | permissive | khoek/mathlib-tidy | 8623b27b4e04e7d598164e7eaf248610d58f768b | 866afa6ab597c47f1b72e8fe2b82b97fff5b980f | refs/heads/master | 1,585,598,975,772 | 1,538,659,544,000 | 1,538,659,544,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 12,748 | lean | import tidy.lib.pretty_print
import tidy.rewrite_search.discovery.collect
import .types
import .debug
import .explain
open tactic
universe u
namespace tidy.rewrite_search
variables {α β γ δ : Type} (i : inst α β γ δ) (g : search_state α β γ δ) (m : metric α β γ δ)
namespace search_state
meta def unmark_all_visit... |
b0c9213f36c267158c2e043266046f0db2780999 | 367134ba5a65885e863bdc4507601606690974c1 | /src/data/nat/basic.lean | 9c0e6668f32180fab090f81fedc3d5baf3f7d522 | [
"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 | 65,377 | lean | /-
Copyright (c) 2014 Floris van Doorn (c) 2016 Microsoft Corporation. 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
-/
import algebra.group_power.basic
import algebra.order_functions
import algebra.or... |
8d9598b23d0b623bb797d72966f0fd736e8a201d | f9d775fd3e03626a42bf00ec5d0bc27ab0f77a4e | /src/Post 3 - Preorders.lean | dc0f841cb12d9669c05b11078ae4617e7ef38bf9 | [] | no_license | Nolrai/SummerCategory | d03d8340d431eb2b37c742dbe65f2611ba548430 | ce74ae4487ca7c0791bde8d14da4e0ca0ff838af | refs/heads/master | 1,588,316,039,936 | 1,553,374,940,000 | 1,553,374,940,000 | 177,340,028 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 777 | lean | /- Okay, let's get started!
Fong and Spivak start out by explaining preorders, which is short for "preordered sets". Whenever you have a set of things and a reasonable way deciding when anything in that set is "bigger" than some other thing, or "more expensive", or "taller", or "heavier", or "better" in any well-defin... |
9d74e795de3dfe4432b41b72e3f00290726d2e31 | 38a6d5def645a1887e1306ceb4da06ff71452096 | /_5_The_Physical_Layer/optical_fiber/capacity_of_bosonic_channels.lean | cdc7fca6e439b2a5634667af93a50077b625125d | [] | no_license | QTM3x/Quantum-Internet | bcc2d61e2ae7233bb2b369fedaed22a1feb6fba1 | f90e09fb6c03d35043654d8b1bec1c63d6012268 | refs/heads/master | 1,609,224,401,937 | 1,599,911,583,000 | 1,599,911,583,000 | 238,495,221 | 45 | 33 | null | 1,603,625,079,000 | 1,580,919,815,000 | Jupyter Notebook | UTF-8 | Lean | false | false | 529 | lean | import .capacity
/-
The two-way capacity of this lossy channel for any
repeaterless implementation of the channel can be shown
to be C = - log(1-η) per mode, where η represents the
physical channel's transmissivity. η varies with distance
exponentially with a constant loss (α) in dbm units.
-/
theorem two_way_ca... |
63cfe4c009139b8c6905cdd52721094325e9c2ab | 367134ba5a65885e863bdc4507601606690974c1 | /src/linear_algebra/dual.lean | 43d7cb948764d855999c22bccc2e58d2b7791aa2 | [
"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 | 18,334 | lean | /-
Copyright (c) 2019 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin, Fabian Glöckle
-/
import linear_algebra.finite_dimensional
import linear_algebra.projection
/-!
# Dual vector spaces
The dual space of an R-module M is the R-module o... |
26057dd19b44a3e05d471cdd71fabdc97c86d643 | 7cef822f3b952965621309e88eadf618da0c8ae9 | /test/lint.lean | 6154e013d862bd43be92b48310a0cbec312c8a81 | [
"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 | 2,226 | lean | import tactic.lint
def foo1 (n m : ℕ) : ℕ := n + 1
def foo2 (n m : ℕ) : m = m := by refl
lemma foo3 (n m : ℕ) : ℕ := n - m
lemma foo.foo (n m : ℕ) : n ≥ n := le_refl n
instance bar.bar : has_add ℕ := by apply_instance -- we don't check the name of instances
-- section
-- local attribute [instance, priority 1001] class... |
c2cb4637bec22cf17f87afbdf3dbeb36d6cd0b69 | 32317185abf7e7c963f4c67c190aec61af6b3628 | /library/data/int/power.lean | a97d654611b599b9d222029b35eab88a8ecac7cf | [
"Apache-2.0"
] | permissive | Andrew-Zipperer-unorganized/lean | 198a2317f21198cd8d26e7085e484b86277f17f7 | dcb35008e1474a0abebe632b1dced120e5f8c009 | refs/heads/master | 1,622,526,520,945 | 1,453,576,559,000 | 1,454,612,842,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 774 | lean | /-
Copyright (c) 2015 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Jeremy Avigad
The power function on the integers.
-/
import data.int.basic data.int.order data.int.div algebra.group_power data.nat.power
namespace int
definition int_has_pow_nat [red... |
4998c294eac7334625eeae1aced79a11e51420f4 | fffbc47930dc6615e66ece42324ce57a21d5b64b | /src/algebra/pi_instances.lean | e0923723506f88af0600738bdfe1dfcc4d366cbb | [
"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 | 17,585 | lean | /-
Copyright (c) 2018 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon, Patrick Massot
Pi instances for algebraic structures.
-/
import order.basic
import algebra.module algebra.group
import data.finset
import tactic.pi_instances
namespace pi
u... |
76cb5ce2d95dcc2efab3716cf31d3fcbb576c899 | fc086f79b20cf002d6f34b023749998408e94fbf | /src/tidy/backwards_reasoning.lean | 2f1aeebc5270dd1f44943d003b97e03703211550 | [] | no_license | semorrison/lean-tidy | f039460136b898fb282f75efedd92f2d5c5d90f8 | 6c1d46de6cff05e1c2c4c9692af812bca3e13b6c | refs/heads/master | 1,624,461,332,392 | 1,559,655,744,000 | 1,559,655,744,000 | 96,569,994 | 9 | 4 | null | 1,538,287,895,000 | 1,499,455,306,000 | Lean | UTF-8 | Lean | false | false | 2,479 | lean | -- Copyright (c) 2017 Scott Morrison. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Authors: Scott Morrison
import tactic.basic
import tactic.ext
open tactic
meta def back_attribute : user_attribute := {
name := `back,
descr := "A lemma that should be applied to a... |
d71c805180d46286de100d031b5f629b789bd034 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/data/mv_polynomial/variables.lean | 9fd1ca013972effdc01b18f4ca4c8c79cf8932ca | [
"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 | 29,059 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Johan Commelin, Mario Carneiro
-/
import algebra.big_operators.order
import data.mv_polynomial.rename
/-!
# Degrees and variables of polynomials
> THIS FILE IS SYNCHR... |
9ccb7072b1b579f4eb193914c7671b5d1638c8ac | 46125763b4dbf50619e8846a1371029346f4c3db | /src/topology/bases.lean | bc331efcf848a815f5672322a94916c83312a72f | [
"Apache-2.0"
] | permissive | thjread/mathlib | a9d97612cedc2c3101060737233df15abcdb9eb1 | 7cffe2520a5518bba19227a107078d83fa725ddc | refs/heads/master | 1,615,637,696,376 | 1,583,953,063,000 | 1,583,953,063,000 | 246,680,271 | 0 | 0 | Apache-2.0 | 1,583,960,875,000 | 1,583,960,875,000 | null | UTF-8 | Lean | false | false | 18,432 | 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
Bases of topologies. Countability axioms.
-/
import topology.constructions data.set.countable
open set filter lattice classical
open_locale topologica... |
ec59d761e4e7df8bfa73df9f3972605d8a92d803 | 367134ba5a65885e863bdc4507601606690974c1 | /src/data/real/cau_seq.lean | 1d1ef05bc843e5e78f60660f9e21d17875f7d3ae | [
"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 | 25,967 | 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 algebra.big_operators.order
/-!
# Cauchy sequences
A basic theory of Cauchy sequences, used in the construction of the reals and p-adic numbers. Where
applic... |
2a622272cb9146b43ca8ffb96ce4a9a5281458fa | 3f7026ea8bef0825ca0339a275c03b911baef64d | /src/data/fintype.lean | 3c80dc74192f08af4d87a2c21c2de9636b248c45 | [
"Apache-2.0"
] | permissive | rspencer01/mathlib | b1e3afa5c121362ef0881012cc116513ab09f18c | c7d36292c6b9234dc40143c16288932ae38fdc12 | refs/heads/master | 1,595,010,346,708 | 1,567,511,503,000 | 1,567,511,503,000 | 206,071,681 | 0 | 0 | Apache-2.0 | 1,567,513,643,000 | 1,567,513,643,000 | null | UTF-8 | Lean | false | false | 33,792 | lean | /-
Copyright (c) 2017 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Mario Carneiro
Finite types.
-/
import data.finset algebra.big_operators data.array.lemmas logic.unique
import tactic.wlog
universes u v
variables {α : Type*} {β : Type*} {γ : Type*}
... |
3dbfe58bc7dc6f219c9fb9d9557ffe828ad17771 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/algebra/group/semiconj.lean | 46deb1e303fb7847c7e85d88cde3b9290af33566 | [
"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 | 7,024 | lean | /-
Copyright (c) 2019 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov
Some proofs and docs came from `algebra/commute` (c) Neil Strickland
-/
import algebra.group.units
/-!
# Semiconjugate elements of a semigroup
## Main definitions
... |
c977f10de9da46cb30a83b3a4217610b79aa5153 | 26ac254ecb57ffcb886ff709cf018390161a9225 | /src/ring_theory/coprime.lean | 8e290dcb8fe1fd4d9ccbd21194eba8487e7b0cf1 | [
"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 | 11,474 | lean | /-
Copyright (c) 2020 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau, Ken Lee, Chris Hughes
-/
import tactic.ring
import algebra.big_operators
import data.fintype.basic
import data.int.gcd
import data.set.disjointed
/-!
# Coprime elements of a rin... |
ce7d98d3400b58b67d4c25dd92bf1349af4ae49b | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/deprecated/group.lean | c85156a5faca6831df3174eba3c3cbddd2f08dbb | [
"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 | 14,353 | lean | /-
Copyright (c) 2019 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov
-/
import algebra.group.type_tags
import algebra.hom.equiv.basic
import algebra.hom.ring
import algebra.hom.units
/-!
# Unbundled monoid and group homomorphisms
This... |
6603f7e087b43520cb7b03c968e22d31c0ec99c5 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/combinatorics/simple_graph/regularity/uniform.lean | 226cc63112a9a6fa1b414344b082ec625f0fefa1 | [
"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 | 10,509 | lean | /-
Copyright (c) 2022 Yaël Dillies, Bhavik Mehta. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yaël Dillies, Bhavik Mehta
-/
import combinatorics.simple_graph.density
import set_theory.ordinal.basic
/-!
# Graph uniformity and uniform partitions
> THIS FILE IS SYNCH... |
b37e44a765b87846f2121d1fa771b2c24f079e11 | 947b78d97130d56365ae2ec264df196ce769371a | /src/Lean/Data/Trie.lean | 0d89ac588196dd9cb77c19f6a9e4688baf2a532c | [
"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 | 2,924 | lean | /-
Copyright (c) 2018 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Sebastian Ullrich, Leonardo de Moura
Trie for tokenizing the Lean language
-/
import Lean.Data.Format
namespace Lean
namespace Parser
open Std (RBNode RBNode.leaf RBNode.singl... |
8e648a8baebad55792ce250a7d4d8312500d897a | da3a76c514d38801bae19e8a9e496dc31f8e5866 | /library/tools/super/clause.lean | 92341dda6500f55fbfb31cc113cda25d5a34d9d0 | [
"Apache-2.0"
] | permissive | cipher1024/lean | 270c1ac5781e6aee12f5c8d720d267563a164beb | f5cbdff8932dd30c6dd8eec68f3059393b4f8b3a | refs/heads/master | 1,611,223,459,029 | 1,487,566,573,000 | 1,487,566,573,000 | 83,356,543 | 0 | 0 | null | 1,488,229,336,000 | 1,488,229,336,000 | null | UTF-8 | Lean | false | false | 8,743 | 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 init.meta.tactic .utils .trim
open expr list tactic monad decidable
namespace super
meta def is_local_not (local_false : expr) (e : expr) : option expr :=
matc... |
80122559efdaf6b0da25013d376aac297ca34092 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/run/blast_pattern_inference_bug.lean | af308c0ef14420e7d39350c793de6aaa1a8cd584 | [
"Apache-2.0"
] | permissive | soonhokong/lean | cb8aa01055ffe2af0fb99a16b4cda8463b882cd1 | 38607e3eb57f57f77c0ac114ad169e9e4262e24f | refs/heads/master | 1,611,187,284,081 | 1,450,766,737,000 | 1,476,122,547,000 | 11,513,992 | 2 | 0 | null | 1,401,763,102,000 | 1,374,182,235,000 | C++ | UTF-8 | Lean | false | false | 202 | lean | constant p : nat → Prop
constant q : ∀ a, p a → Prop
lemma ex [forward] : ∀ (a : nat) (h : p a), (:q a h:) := sorry
set_option blast.strategy "ematch"
lemma test (h : p 0) : q 0 h :=
by blast
|
ce7caa78313118e134e4560acb029beccb2680ee | 4727251e0cd73359b15b664c3170e5d754078599 | /src/linear_algebra/free_module/finite/basic.lean | eb8a3f782eae81900a94783ccd21a2bc5d70bd38 | [
"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 | 2,978 | lean | /-
Copyright (c) 2021 Riccardo Brasca. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Riccardo Brasca
-/
import linear_algebra.free_module.basic
import linear_algebra.matrix.to_lin
import ring_theory.finiteness
/-!
# Finite and free modules
We provide some instances... |
d6b13fffef682d447dcc188ad496bec6381b3612 | 5c4a0908390c4938ae21bc616ff2a969ce62fd76 | /library/theories/analysis/real_limit.lean | 323e0c3279febfcf72ada683453553604810712c | [
"Apache-2.0"
] | permissive | Bpalkmim/lean | 968be8a73a06fa6db19073cd463d2093464dc0f6 | 994815bc7793f5765beb693c82341cf01d20d807 | refs/heads/master | 1,610,964,748,106 | 1,455,564,675,000 | 1,455,564,675,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 24,511 | 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
Instantiates the reals as a Banach space.
-/
import .metric_space data.real.complete data.set .normed_space
open real classical analysis nat
noncomputabl... |
bc0522cc2d62ba27a15a9446dfedfd118ea9d307 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/pkg/user_attr/UserAttr/BlaAttr.lean | dd652db07b53ea85caeb11b9e5426de86b75a2c7 | [
"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 | 702 | lean | import Lean
open Lean
initialize blaAttr : TagAttribute ← registerTagAttribute `bla "simple user defined attribute"
/-- My own new simp attribute. -/
register_simp_attr my_simp
syntax (name := foo) "foo" num "important"? : attr
initialize fooAttr : ParametricAttribute (Nat × Bool) ←
registerParametricAttribute {... |
b39acbf44fe878ff89d9e238ce2d5dd344614a90 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/model_theory/language_map.lean | e0eb3c7b024827f42ff6112c6212e3dd1eb352d9 | [
"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 | 17,727 | lean | /-
Copyright (c) 2021 Aaron Anderson, Jesse Michael Han, Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Aaron Anderson, Jesse Michael Han, Floris van Doorn
-/
import model_theory.basic
/-!
# Language Maps
Maps between first-order languages in the styl... |
84fe709d446965ffcf8a402418fd63aaf7111568 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/algebra/order/complete_field.lean | 1b886cb7392cb06fb9991abd682c1506aa271adb | [
"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 | 13,084 | lean | /-
Copyright (c) 2022 Alex J. Best. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Alex J. Best, Yaël Dillies
-/
import algebra.order.hom.ring
import algebra.order.pointwise
import analysis.special_functions.pow
/-!
# Conditionally complete linear ordered fields
This... |
9c4708f710777fe8cb3ae906ec75f036f3d07fca | bbecf0f1968d1fba4124103e4f6b55251d08e9c4 | /src/ring_theory/finiteness.lean | 210138bd91f5d9fe942300fb930511589c8b8aca | [
"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 | 35,041 | 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 ring_theory.noetherian
import ring_theory.ideal.operations
import ring_theory.algebra_tower
import group_theory.finiteness
/-!
# Finiteness conditions in com... |
ac234eac88cbb00432198c2463d66a7ee59a796b | 076f5040b63237c6dd928c6401329ed5adcb0e44 | /answers/exam_1_key.lean | d1f25c5461f8fb571234888a1aa7cbdc7f51c8de | [] | no_license | kevinsullivan/uva-cs-dm-f19 | 0f123689cf6cb078f263950b18382a7086bf30be | 09a950752884bd7ade4be33e9e89a2c4b1927167 | refs/heads/master | 1,594,771,841,541 | 1,575,853,850,000 | 1,575,853,850,000 | 205,433,890 | 4 | 9 | null | 1,571,592,121,000 | 1,567,188,539,000 | Lean | UTF-8 | Lean | false | false | 7,861 | lean | /-
THe exam is graded out of 100 points. The regular
questions provide opportunity earn 105. There is
an extra credit worth 5 points [all or none]. So
the maximum possible grade is 110/100.
-/
/-
#1 [10 points]
[Grading: 2 free points + 1 for each correct answer]
Complete the following definitions to give examples ... |
65d1cc39d020ec9ae071f16ab29e409132c1369f | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/tactic/lean_core_docs.lean | 47284b752a4b5602fa81accf34f34cef8da91d04 | [] | no_license | AurelienSaue/Mathlib4_auto | f538cfd0980f65a6361eadea39e6fc639e9dae14 | 590df64109b08190abe22358fabc3eae000943f2 | refs/heads/master | 1,683,906,849,776 | 1,622,564,669,000 | 1,622,564,669,000 | 371,723,747 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 8,526 | lean | /-
Copyright (c) 2020 Kevin Buzzard. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kevin Buzzard, Bryan Gin-ge Chen, Robert Y. Lewis, Scott Morrison
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.tactic.doc_commands
import Mathlib.PostPo... |
af8e0c7d32d757ffefd3037ba9ae3ff98446ed9a | ae1e94c332e17c7dc7051ce976d5a9eebe7ab8a5 | /tests/lean/run/tacticExtOverlap.lean | c3608f2d9942c30c2d8cac86de78f64bcdc9c426 | [
"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 | 549 | lean | open Lean
syntax (name := myintro) "intros" sepBy(ident, ",") : tactic
macro_rules [myintro]
| `(tactic| intros $x,*) => pure $ Syntax.node `Lean.Parser.Tactic.intros #[Syntax.atom {} "intros", mkNullNode x]
theorem tst1 {p q : Prop} : p → q → p :=
by {
intros h1, h2;
assumption
}
theorem tst2 {p q : Prop} : p ... |
6350082a6cfe824f27affd50b8f29cd54f42edba | 22e97a5d648fc451e25a06c668dc03ac7ed7bc25 | /test/where.lean | 56f6501ab73cb8d11947049318f234371946ea47 | [
"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 | 8,399 | lean | import data.multiset
import tactic.where
-- First set up the testing framework...
section framework
-- Note that we cannot have any explicit `open`s, we are currently working around this bug:
-- https://leanprover.zulipchat.com/#narrow/stream/113488-general/topic/What's.20the.20deal.20with.20.60open.60
@[user_comma... |
dc587d823595014a8da0eda6b1c7c889e0b665b6 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/measure_theory/measure/hausdorff.lean | eacda09aa45054a91ffcb7658120df8fd92fd230 | [
"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 | 44,799 | lean | /-
Copyright (c) 2021 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov
-/
import topology.metric_space.metric_separated
import measure_theory.constructions.borel_space
import measure_theory.measure.lebesgue
import analysis.special_functio... |
abbda0983e11f7acc3cf1e5b0eca4abdf92a8b63 | 969dbdfed67fda40a6f5a2b4f8c4a3c7dc01e0fb | /src/category_theory/limits/limits.lean | 5cbf73f80ad340e9112c472991dac17054aeab80 | [
"Apache-2.0"
] | permissive | SAAluthwela/mathlib | 62044349d72dd63983a8500214736aa7779634d3 | 83a4b8b990907291421de54a78988c024dc8a552 | refs/heads/master | 1,679,433,873,417 | 1,615,998,031,000 | 1,615,998,031,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 71,810 | lean | /-
Copyright (c) 2018 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Reid Barton, Mario Carneiro, Scott Morrison, Floris van Doorn
-/
import category_theory.adjunction.basic
import category_theory.limits.cones
import category_theory.reflects_isomorphism... |
ad577b29e4d8e710a84a259fe1462ec9c39ce00e | c777c32c8e484e195053731103c5e52af26a25d1 | /src/probability/kernel/with_density.lean | 5ab8e74f45cfb8cabaa1b33a004c9b37cd764b85 | [
"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 | 10,702 | lean | /-
Copyright (c) 2023 Rémy Degenne. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Rémy Degenne
-/
import probability.kernel.measurable_integral
/-!
# With Density
For an s-finite kernel `κ : kernel α β` and a function `f : α → β → ℝ≥0∞` which is finite
everywhere, w... |
79295fc2c016341982e0a7070e8b1a27437621b3 | d9d511f37a523cd7659d6f573f990e2a0af93c6f | /src/group_theory/perm/concrete_cycle.lean | dbb86e70c50fdde93ae777205cd3d49baaa08b41 | [
"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 | 5,936 | lean | /-
Copyright (c) 2021 Yakov Pechersky. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yakov Pechersky
-/
import group_theory.perm.list
import data.list.cycle
import group_theory.perm.cycle_type
/-!
# Properties of cyclic permutations constructed from lists
In the fo... |
34b92765b6fad1e08bca062305f5588c8c7bb915 | 01ae0d022f2e2fefdaaa898938c1ac1fbce3b3ab | /categories/universal/comparisons/products.lean | 33570650ff38fc5aa91e4bd9e6543d2cf97494de | [] | no_license | PatrickMassot/lean-category-theory | 0f56a83464396a253c28a42dece16c93baf8ad74 | ef239978e91f2e1c3b8e88b6e9c64c155dc56c99 | refs/heads/master | 1,629,739,187,316 | 1,512,422,659,000 | 1,512,422,659,000 | 113,098,786 | 0 | 0 | null | 1,512,424,022,000 | 1,512,424,022,000 | null | UTF-8 | Lean | false | false | 1,433 | lean | -- Copyright (c) 2017 Scott Morrison. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Authors: Scott Morrison
import ...isomorphism
import ...natural_transformation
import ...equivalence
import ..comma_categories
import ..universal
open categories
open categories.functor... |
e0e3ee3a65622839ab68d73a06cd14f64cc79c42 | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/algebra/category/Mon/limits.lean | 358510c9fa89954883bed007d2d118f50d9956bb | [
"Apache-2.0"
] | permissive | Lix0120/mathlib | 0020745240315ed0e517cbf32e738d8f9811dd80 | e14c37827456fc6707f31b4d1d16f1f3a3205e91 | refs/heads/master | 1,673,102,855,024 | 1,604,151,044,000 | 1,604,151,044,000 | 308,930,245 | 0 | 0 | Apache-2.0 | 1,604,164,710,000 | 1,604,163,547,000 | null | UTF-8 | Lean | false | false | 6,603 | lean | /-
Copyright (c) 2020 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import algebra.group.pi
import algebra.category.Mon.basic
import category_theory.limits.types
import category_theory.limits.creates
/-!
# The category of (commutativ... |
8df7f96daa07ca6a9b43dc9087dfa26b36a2bc7e | 5d166a16ae129621cb54ca9dde86c275d7d2b483 | /library/init/category/combinators.lean | dcf686a009776567d0eb59a637a0f702bef291a4 | [
"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 | 3,740 | lean | /-
Copyright (c) 2016 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Leonardo de Moura
Monad combinators, as in Haskell's Control.Monad.
-/
prelude
import init.category.monad init.data.list.basic
universes u v w
def list.mmap {m ... |
63add9524823c20cccb792b81f4994ac9bb64509 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/646.lean | 54389567056f90826080dae16cca1a8820b86f13 | [
"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 | 389 | lean | def build (n : Nat) : Array Unit := Id.run <| do
let mut out := #[]
for _ in [0:n] do
out := out.push ()
out
@[noinline] def size : IO Nat := pure 50000
def bench (f : ∀ {α : Type}, α → IO Unit := fun _ => pure ()) : IO Unit := do
let n ← size
let arr := build n
timeit "time" $
for _ in [:1000] do... |
3398fe3cb0870f88c618f5cdb3708cc40a6c6cb2 | 5fbbd711f9bfc21ee168f46a4be146603ece8835 | /lean/natural_number_game/advanced_addition/06.lean | affc686b6c22b962dd32db6f963c5923cb869de7 | [
"LicenseRef-scancode-warranty-disclaimer"
] | no_license | goedel-gang/maths | 22596f71e3fde9c088e59931f128a3b5efb73a2c | a20a6f6a8ce800427afd595c598a5ad43da1408d | refs/heads/master | 1,623,055,941,960 | 1,621,599,441,000 | 1,621,599,441,000 | 169,335,840 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 168 | lean | theorem add_left_cancel (t a b : mynat) : t + a = t + b → a = b :=
begin
rw [add_comm t a, add_comm t b],
exact add_right_cancel a t b, -- I can't count to 3
end
|
050185a0144d5e2423701874f971e223f418a75b | 8b9f17008684d796c8022dab552e42f0cb6fb347 | /library/init/quot.lean | e69eded61dfcdac800d873cfd26c505eb361e402 | [
"Apache-2.0"
] | permissive | chubbymaggie/lean | 0d06ae25f9dd396306fb02190e89422ea94afd7b | d2c7b5c31928c98f545b16420d37842c43b4ae9a | refs/heads/master | 1,611,313,622,901 | 1,430,266,839,000 | 1,430,267,083,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,990 | lean | /-
Copyright (c) 2015 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Module: init.quot
Author: Leonardo de Moura
Quotient types.
-/
prelude
import init.sigma init.setoid init.logic
open sigma.ops setoid
constant quot.{l} : Π {A : Type.{l}}, setoid A ... |
67446ebbdd96acbcec7936e0a35cb830bcc33c43 | 4f643cce24b2d005aeeb5004c2316a8d6cc7f3b1 | /omin/tactic.lean | b29959ec4728c1d58650bd3b624ea323e56deb3f | [] | no_license | rwbarton/lean-omin | da209ed061d64db65a8f7f71f198064986f30eb9 | fd733c6d95ef6f4743aae97de5e15df79877c00e | refs/heads/master | 1,674,408,673,325 | 1,607,343,535,000 | 1,607,343,535,000 | 285,150,399 | 9 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 13,102 | lean | import data.list.alist
import .presheaf2
namespace o_minimal
variables {R : Type*} {S : struc R}
structure sect (Γ : Def S) (X : Type*) [definable_psh S X] :=
(to_fun : Γ → X)
(definable : definable_psh.definable to_fun)
infixr ` ⊢ `:10 := sect
def sect.precomp {Γ' Γ : Def S} {X : Type*} [definable_psh S X]
(σ :... |
e95ebccc9aed17e9bcb1fe4e55bc1c7f136c2e10 | 4fa161becb8ce7378a709f5992a594764699e268 | /src/data/monoid_algebra.lean | 7dd87873a381dc96d63224e30cffd00772823940 | [
"Apache-2.0"
] | permissive | laughinggas/mathlib | e4aa4565ae34e46e834434284cb26bd9d67bc373 | 86dcd5cda7a5017c8b3c8876c89a510a19d49aad | refs/heads/master | 1,669,496,232,688 | 1,592,831,995,000 | 1,592,831,995,000 | 274,155,979 | 0 | 0 | Apache-2.0 | 1,592,835,190,000 | 1,592,835,189,000 | null | UTF-8 | Lean | false | false | 25,585 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Yury G. Kudryashov, Scott Morrison
-/
import data.finsupp
import ring_theory.algebra
/-!
# Monoid algebras
When the domain of a `finsupp` has a multiplicative or addi... |
9083a44008f37b108b749f1c4df50363ec30de6f | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/data/fin/tuple/sort.lean | 9b3dced457ac5f1f313e3d1f8af3cae4e1475ace | [
"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 | 2,694 | 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 data.fin.basic
import data.finset.sort
import data.prod.lex
/-!
# Sorting tuples by their values
Given an `n`-tuple `f : fin n → α` where `α` is ordered,
we may ... |
f2c177649e782468f26926375f379a738f3ebc79 | 80cc5bf14c8ea85ff340d1d747a127dcadeb966f | /src/linear_algebra/basis.lean | bf8b902e2002054c785985a4012190acde7f3b9a | [
"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 | 60,605 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro, Alexander Bentkamp
-/
import linear_algebra.finsupp
import linear_algebra.projection
import order.zorn
import data.fintype.card
import data.finset.order... |
4e20e163bc7cbcea87ea075b4029a95432e69814 | 57aec6ee746bc7e3a3dd5e767e53bd95beb82f6d | /tests/lean/run/matcherElimUniv.lean | 5bcfeef68bd028b47b76c96e8096f709e0e82eb1 | [
"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 | 164 | lean |
universes u
def len {α : Type u} : List α → List α → Nat
| [], bs => bs.length
| a::as, bs => len as bs + 1
theorem ex1 : len [1, 2] [3, 4] = 4 :=
rfl
|
6302c2535c00ca3574f4b6eaf826f10f23be9b9b | 36c7a18fd72e5b57229bd8ba36493daf536a19ce | /hott/init/nat.hlean | 30d1ad053a5d80d364059415d92b00b75ddd971f | [
"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 | 10,296 | hlean | /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn, Leonardo de Moura
-/
prelude
import init.wf init.tactic init.hedberg init.util init.types
open eq decidable sum lift is_trunc
notation `ℕ` := nat
namespace ... |
4470843f84afff0effa4339bbf99c8cae5cd849f | 41ebf3cb010344adfa84907b3304db00e02db0a6 | /uexp/src/uexp/rules/aggregateGroupingSetsProjectMerge.lean | 3a92de1bc5106588cf1dd351fb0cc407944b74be | [
"BSD-2-Clause"
] | permissive | ReinierKoops/Cosette | e061b2ba58b26f4eddf4cd052dcf7abd16dfe8fb | eb8dadd06ee05fe7b6b99de431dd7c4faef5cb29 | refs/heads/master | 1,686,483,953,198 | 1,624,293,498,000 | 1,624,293,498,000 | 378,997,885 | 0 | 0 | BSD-2-Clause | 1,624,293,485,000 | 1,624,293,484,000 | null | UTF-8 | Lean | false | false | 1,212 | lean | import ..extra_constants
import ..sql
import ..u_semiring
import ..meta.cosette_tactics
import ..meta.TDP
open SQL
open Proj
open Pred
open Expr
theorem rule :
forall (Γ scm_s : Schema)
(rel_r : relation scm_s)
(s_a : Column datatypes.int scm_s)
(s_b : Column datatypes.int scm_s)
... |
5204ed0220ecac316621509d65dd3d4f5b8c5988 | b2e508d02500f1512e1618150413e6be69d9db10 | /src/category_theory/yoneda.lean | 6f676127ddc863b32e677957dd59d51910aa193b | [
"Apache-2.0"
] | permissive | callum-sutton/mathlib | c3788f90216e9cd43eeffcb9f8c9f959b3b01771 | afd623825a3ac6bfbcc675a9b023edad3f069e89 | refs/heads/master | 1,591,371,888,053 | 1,560,990,690,000 | 1,560,990,690,000 | 192,476,045 | 0 | 0 | Apache-2.0 | 1,568,941,843,000 | 1,560,837,965,000 | Lean | UTF-8 | Lean | false | false | 6,672 | lean | -- Copyright (c) 2017 Scott Morrison. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Authors: Scott Morrison
/- The Yoneda embedding, as a functor `yoneda : C ⥤ (Cᵒᵖ ⥤ Type v₁)`,
along with an instance that it is `fully_faithful`.
Also the Yoneda lemma, `yoneda_le... |
40ff9f9a9bcc94b89bf6a7c45093956540df53d7 | 964a8bb66c2eb89b920fe65d0ec2f77eab0d5f65 | /src/listplayground.lean | 4ee38229dd1e672da0285b30e1ad9448958c92c8 | [
"MIT"
] | permissive | SnobbyDragon/leanhanoi | 9990a7b586f1d843d39c3c7aab7ac0b5eefbe653 | a42811ce5ab55e0451880a8c111c75b082936d39 | refs/heads/master | 1,675,735,182,689 | 1,609,387,288,000 | 1,609,387,288,000 | 284,167,126 | 8 | 1 | MIT | 1,609,262,129,000 | 1,596,247,349,000 | Lean | UTF-8 | Lean | false | false | 2,486 | lean | import data.list
namespace listplayground
example (l : list ℕ) (hl : list.sorted nat.lt l) (hl' : l ≠ []) : list.sorted nat.lt l.tail :=
list.sorted.tail hl
example (l : list ℕ) (h : l ≠ []) : l = l.head :: l.tail := (list.cons_head_tail h).symm
-- surprised this isn't in mathlib... maybe bc this is too simple or s... |
9c525255048e0a24ee14380475814df253e9bc08 | 7cdf3413c097e5d36492d12cdd07030eb991d394 | /src/game/intro.lean | 77217fa78ef45ae0237ff0eee707079c2e644b37 | [] | no_license | alreadydone/natural_number_game | 3135b9385a9f43e74cfbf79513fc37e69b99e0b3 | 1a39e693df4f4e871eb449890d3c7715a25c2ec9 | refs/heads/master | 1,599,387,390,105 | 1,573,200,587,000 | 1,573,200,691,000 | 220,397,084 | 0 | 0 | null | 1,573,192,734,000 | 1,573,192,733,000 | null | UTF-8 | Lean | false | false | 2,155 | lean | /-
# The Natural Number Game, version 1.08beta [see "what's new" below]
[will be ready to go after some updates to the engine which generates the web pages]
## By Kevin Buzzard and Mohammad Pedramfar.
Special thanks to Rob Lewis for tactic hackery, Sian Carey for power world (world 4),
and, last but not least, all ... |
0cfc5bbb3b2651f757b6938d09de2d9dd318eeb0 | de91c42b87530c3bdcc2b138ef1a3c3d9bee0d41 | /old/not_in_use/velocityEval.lean | cf80d04ae42f7f7ce47ed4643da42466fb6cc6e9 | [] | no_license | kevinsullivan/lang | d3e526ba363dc1ddf5ff1c2f36607d7f891806a7 | e9d869bff94fb13ad9262222a6f3c4aafba82d5e | refs/heads/master | 1,687,840,064,795 | 1,628,047,969,000 | 1,628,047,969,000 | 282,210,749 | 0 | 1 | null | 1,608,153,830,000 | 1,595,592,637,000 | Lean | UTF-8 | Lean | false | false | 779 | lean | import ..imperative_DSL.environment
open lang.classicalVelocity
def classicalVelocityEval : lang.classicalVelocity.expr → environment.env → classicalVelocity
| (expr.lit v) i := v
| (lang.classicalVelocity.expr.var v) i := i.v v
| (expr.div g t) i :=
match g with
| (lang.classicalGeometry.expr.lit e) :=
... |
68a9978cb20d8cfa9c553c8aaded09ed77dfe87b | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/add_decl_namespace.lean | 4c399356d94e9efaedfbd0cdee6bbe0ba1421d33 | [
"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 | 130 | lean |
namespace A
def x := 1
def _root_.B.x := 1
end A
def C.x := 1
run_cmd tactic.add_aux_decl `D.x `(ℕ) `(1) ff
open A B C D
|
1b93d264005a07ddd2e27d9847339e8f1936d6cd | d436468d80b739ba7e06843c4d0d2070e43448e5 | /src/topology/metric_space/isometry.lean | eff286b60df98997c0491d92c49388973304f076 | [
"Apache-2.0"
] | permissive | roro47/mathlib | 761fdc002aef92f77818f3fef06bf6ec6fc1a28e | 80aa7d52537571a2ca62a3fdf71c9533a09422cf | refs/heads/master | 1,599,656,410,625 | 1,573,649,488,000 | 1,573,649,488,000 | 221,452,951 | 0 | 0 | Apache-2.0 | 1,573,647,693,000 | 1,573,647,692,000 | null | UTF-8 | Lean | false | false | 13,218 | lean | /-
Copyright (c) 2018 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Isometries of emetric and metric spaces
Authors: Sébastien Gouëzel
We define isometries, i.e., maps between emetric spaces that preserve
the edistance (on metric spaces, these are exactly th... |
a77f074b09cafb61eeeee0a4f0e561fd968c454e | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/run/blast_multiple_nots.lean | 5ab9b9259f50ac11fc6efb55868d65bf0072d512 | [
"Apache-2.0"
] | permissive | soonhokong/lean | cb8aa01055ffe2af0fb99a16b4cda8463b882cd1 | 38607e3eb57f57f77c0ac114ad169e9e4262e24f | refs/heads/master | 1,611,187,284,081 | 1,450,766,737,000 | 1,476,122,547,000 | 11,513,992 | 2 | 0 | null | 1,401,763,102,000 | 1,374,182,235,000 | C++ | UTF-8 | Lean | false | false | 601 | lean | constants a b c d : Prop
set_option blast.strategy "unit"
example (H : ¬ a → ¬ b → ¬ c ∨ ¬ d) : ¬ a → c → d → ¬ b → false :=
by blast
set_option blast.strategy "preprocess"
example : ¬¬¬¬¬a → ¬¬a → false :=
by blast
example : ¬¬¬¬¬a → ¬¬¬¬a → false :=
by blast
example : ¬¬¬¬¬a → a → false :=
by blast
example : ¬... |
0ef9a01a9f41aee47d1a70b0cf0a7986e3ef4438 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/group_theory/perm/list.lean | 8a0a66e3ce1fe97a2fe7fbcf7c52198043e46c2f | [
"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 | 16,377 | lean | /-
Copyright (c) 2021 Yakov Pechersky. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yakov Pechersky
-/
import data.list.rotate
import group_theory.perm.support
/-!
# Permutations from a list
A list `l : list α` can be interpreted as a `equiv.perm α` where each ele... |
5453b21a94bcc830f7a5c946d81c86adef10aa6b | 491068d2ad28831e7dade8d6dff871c3e49d9431 | /hott/types/trunc.hlean | c8a17fc4b8e9763ae7ffb9c68b65c679f5cdb30e | [
"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 | 9,889 | hlean | /-
Copyright (c) 2015 Jakob von Raumer. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn
Properties of is_trunc and trunctype
-/
-- NOTE: the fact that (is_trunc n A) is a mere proposition is proved in .hprop_trunc
import types.pi types.eq types.equiv... |
1833ade015a28f47fc851222c813360b25853580 | f3849be5d845a1cb97680f0bbbe03b85518312f0 | /tests/lean/hole_issue2.lean | 4925bf537a6c09a21af927429b91fd837918baab | [
"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 | 1,845 | lean | constant bag_setoid : ∀ A, setoid (list A)
attribute [instance] bag_setoid
noncomputable definition bag (A : Type) : Type :=
quotient (bag_setoid A)
constant subcount : ∀ {A}, list A → list A → bool
constant list.count : ∀ {A}, A → list A → nat
constant all_of_subcount_eq_tt : ∀ {A} {l₁ l₂ : list A}, subcount l₁ l₂ ... |
2d2b47fa93a77e2878ca7be3aee462b8429ef389 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/data/rat/order.lean | 7e5b5842ec7c487c1d79b094fc407d80a6e8ea04 | [
"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 | 8,179 | lean | /-
Copyright (c) 2019 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro
-/
import data.rat.basic
/-!
# Order for Rational Numbers
## Summary
We define the order on `ℚ`, prove that `ℚ` is a discrete, linearly ordered field,... |
e9bc66795e60619b0ba22070f0f8bcced813b791 | 8d65764a9e5f0923a67fc435eb1a5a1d02fd80e3 | /src/algebra/regular/smul.lean | 38c15a93eeaac9258bff61652c62a6c8f02d170c | [
"Apache-2.0"
] | permissive | troyjlee/mathlib | e18d4b8026e32062ab9e89bc3b003a5d1cfec3f5 | 45e7eb8447555247246e3fe91c87066506c14875 | refs/heads/master | 1,689,248,035,046 | 1,629,470,528,000 | 1,629,470,528,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 7,102 | lean | /-
Copyright (c) 2021 Damiano Testa. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Damiano Testa
-/
import algebra.smul_with_zero
import algebra.regular.basic
/-!
# Action of regular elements on a module
We introduce `M`-regular elements, in the context of an `R`-mod... |
d29f3464d5f6f79d3495fffe143972fb7c80491c | 5fbbd711f9bfc21ee168f46a4be146603ece8835 | /lean/natural_number_game/multiplication/9.lean | 96c2e6112114a803678e9eb90a0874d6861425e6 | [
"LicenseRef-scancode-warranty-disclaimer"
] | no_license | goedel-gang/maths | 22596f71e3fde9c088e59931f128a3b5efb73a2c | a20a6f6a8ce800427afd595c598a5ad43da1408d | refs/heads/master | 1,623,055,941,960 | 1,621,599,441,000 | 1,621,599,441,000 | 169,335,840 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 125 | lean | lemma mul_left_comm (a b c : mynat) : a * (b * c) = b * (a * c) :=
begin
rwa [← mul_assoc, mul_comm a b, mul_assoc],
end
|
b4cfba10934992be84e2235e47dd4b45e8712989 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/algebra/module/ordered.lean | 251baaedae4ea114ab0539c04c511b51b6b62c58 | [] | no_license | AurelienSaue/Mathlib4_auto | f538cfd0980f65a6361eadea39e6fc639e9dae14 | 590df64109b08190abe22358fabc3eae000943f2 | refs/heads/master | 1,683,906,849,776 | 1,622,564,669,000 | 1,622,564,669,000 | 371,723,747 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 8,687 | lean | /-
Copyright (c) 2020 Frédéric Dupuis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Frédéric Dupuis
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.algebra.module.pi
import Mathlib.algebra.ordered_pi
import Mathlib.algebra.module.prod
im... |
a5658ce76e02ffdca29fc5c31a764c2c610e22db | 35452ce8e77eaf9e0aa9367a9e20bafbf92730d4 | /src/main.lean | cac8490b5420fc83b7538441bc873718decbf6e6 | [] | no_license | ADedecker/wedderburn | 6935f44f922080df5d673051737881d9f8a94e9c | 1ed28ff8cf64e1652d540557765e379b3901ad19 | refs/heads/master | 1,692,935,097,444 | 1,634,302,432,000 | 1,634,302,432,000 | 412,828,531 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 6,086 | lean | import linear_algebra.finite_dimensional
import field_theory.finite.basic
import ring_theory.polynomial.cyclotomic
import .aux
open ring finite_dimensional fintype mul_action polynomial
open_locale big_operators
variables {A : Type*} [division_ring A] [fintype A] [fintype (subring.center A)]
-- we keep "unnecessary"... |
6c19460bbe5a6ae7584e73e21296b70339828d67 | 0845ae2ca02071debcfd4ac24be871236c01784f | /library/init/data/option/basic.lean | 263d869cfd89c232540842dbe5e42719fb3d05d4 | [
"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 | 2,895 | lean | /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
prelude
import init.core init.control.monad init.control.alternative init.coe
open Decidable
universes u v
namespace Option
def toMonad {m : Type → Type}... |
95fd7f9400b5f7fa66d153de3a2fc455d9327bc3 | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /src/Lean/Elab/AuxDef.lean | d662cdab6ad9f63d3d5a336db389d2ff65dc2eab | [
"Apache-2.0",
"LLVM-exception",
"NCSA",
"LGPL-3.0-only",
"LicenseRef-scancode-inner-net-2.0",
"BSD-3-Clause",
"LGPL-2.0-or-later",
"Spencer-94",
"LGPL-2.1-or-later",
"HPND",
"LicenseRef-scancode-pcre",
"ISC",
"LGPL-2.1-only",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | EdAyers/lean4 | 57ac632d6b0789cb91fab2170e8c9e40441221bd | 37ba0df5841bde51dbc2329da81ac23d4f6a4de4 | refs/heads/master | 1,676,463,245,298 | 1,660,619,433,000 | 1,660,619,433,000 | 183,433,437 | 1 | 0 | Apache-2.0 | 1,657,612,672,000 | 1,556,196,574,000 | Lean | UTF-8 | Lean | false | false | 1,372 | lean | /-
Copyright (c) 2021 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gabriel Ebner
-/
import Lean.Elab.Command
namespace Lean.Elab.Command
open Lean.Parser.Command
open Lean.Parser.Term
/--
Declares an auxiliary definition with an automatically... |
fa978eebeda41532e304309d4984ad31685f9665 | 947b78d97130d56365ae2ec264df196ce769371a | /stage0/src/Init/Data/UInt.lean | e1af60c2ac5d4149a72ef4d7be04013e0b3e3a0e | [
"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 | 15,374 | 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
-/
prelude
import Init.Data.Fin.Basic
import Init.System.Platform
open Nat
def uint8Sz : Nat := 256
structure UInt8 :=
(val : Fin uint8Sz)
@[extern "lean_ui... |
d63ce4013b87e9d2e63a61ca27217774a87d5c1f | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/topology/sheaves/sheaf_condition/equalizer_products.lean | e75084455b9397c3e68f4ff7dff35495c9a6dc6d | [
"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 | 15,797 | 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 category_theory.limits.shapes.equalizers
import category_theory.limits.shapes.products
import topology.sheaves.sheaf_condition.pairwise_intersections
/-!
# Th... |
e7e4a7a7ae07063e0975c08e4aa8abc95059aaa3 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/data/list/dedup.lean | f8c65923d023bf80cbcc3f8e62b5bc41933351f3 | [
"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 | 2,450 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
import data.list.nodup
/-!
# Erasure of duplicates in a list
This file proves basic results about `list.dedup` (definition in `data.list.defs`).
`dedup l` returns `... |
8c9244c30f0844280922676a8e72edd7eedb24f8 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/data/polynomial/degree/definitions_auto.lean | 21442c4ed94be7b1e2eae8c3234f44c0304a0821 | [] | 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 | 32,316 | 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 Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.data.polynomial.coeff
import Mathlib.data.nat.w... |
21210218f7de504af77a5fb0d6d09cfc20720115 | 8b9f17008684d796c8022dab552e42f0cb6fb347 | /library/logic/default.lean | 8353bc33c99a7aed0633264dd910471a77061078 | [
"Apache-2.0"
] | permissive | chubbymaggie/lean | 0d06ae25f9dd396306fb02190e89422ea94afd7b | d2c7b5c31928c98f545b16420d37842c43b4ae9a | refs/heads/master | 1,611,313,622,901 | 1,430,266,839,000 | 1,430,267,083,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 285 | lean | /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Module: logic.default
Author: Jeremy Avigad
-/
import logic.eq logic.connectives logic.cast
import logic.quantifiers logic.instances logic.identities
|
068aad89d03e8a47c3329bb7e426cb916f1fb85a | ff5230333a701471f46c57e8c115a073ebaaa448 | /library/init/meta/interactive_base.lean | 786f450ae9ff86f353b3bb0c897674d6e4619b2b | [
"Apache-2.0"
] | permissive | stanford-cs242/lean | f81721d2b5d00bc175f2e58c57b710d465e6c858 | 7bd861261f4a37326dcf8d7a17f1f1f330e4548c | refs/heads/master | 1,600,957,431,849 | 1,576,465,093,000 | 1,576,465,093,000 | 225,779,423 | 0 | 3 | Apache-2.0 | 1,575,433,936,000 | 1,575,433,935,000 | null | UTF-8 | Lean | false | false | 8,431 | 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.data.option.basic
import init.meta.lean.parser init.meta.tactic init.meta.has_reflect
open lean
open lean.parser
local postfix `?`:900... |
5022025a7a983642b93e6c1550a0eb00dfff78a7 | 222111140d2023e142b07e9cd5119ac2829b36f5 | /src/matrix_repr.lean | ecf417e1c8a4c365f4696b19d0b3bdb7f129c636 | [] | no_license | jjcrawford/lean-gaussian-elimination | 740dfdf2de89dc99c088c53e5221d9dfad3c0b92 | c473d33c07fa6f141d17d9dc42ad07956c33dd03 | refs/heads/master | 1,585,793,867,436 | 1,540,443,865,000 | 1,540,443,865,000 | 153,901,939 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,913 | lean | import ring_theory.matrix
@[pattern] def vector.mk {α : Type*} {n : ℕ} (l : list α) (pr : l.length = n) :
vector α n := ⟨l, pr⟩
notation `![` l:(foldr `, ` (h t, list.cons h t) list.nil `]`) :=
vector.mk l (refl _)
universes u
variables {m n : ℕ} {α : Type u}
def matrix.bang : (vector (vector α n) m)... |
0c3ee7c729f2cdd5a5441e5811dd696ff64f81c6 | e00ea76a720126cf9f6d732ad6216b5b824d20a7 | /src/category_theory/adjunction/limits.lean | 4d132d05f168d125d4bbceb3f8aa7c0cba1e3f4c | [
"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 | 7,695 | lean | /-
Copyright (c) 2019 Reid Barton. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Reid Barton, Johan Commelin
-/
import category_theory.adjunction.basic
import category_theory.limits.preserves
open opposite
namespace category_theory.adjunction
open category_theory
op... |
cc1c3e78d2892a2305fd6588a83bf9fa9f13a114 | 2c096fdfecf64e46ea7bc6ce5521f142b5926864 | /src/Lean/Elab/BuiltinNotation.lean | 795d5d25dcb0e0bdd145519545cf12623543ff62 | [
"Apache-2.0",
"LLVM-exception",
"NCSA",
"LGPL-3.0-only",
"LicenseRef-scancode-inner-net-2.0",
"BSD-3-Clause",
"LGPL-2.0-or-later",
"Spencer-94",
"LGPL-2.1-or-later",
"HPND",
"LicenseRef-scancode-pcre",
"ISC",
"LGPL-2.1-only",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | Kha/lean4 | 1005785d2c8797ae266a303968848e5f6ce2fe87 | b99e11346948023cd6c29d248cd8f3e3fb3474cf | refs/heads/master | 1,693,355,498,027 | 1,669,080,461,000 | 1,669,113,138,000 | 184,748,176 | 0 | 0 | Apache-2.0 | 1,665,995,520,000 | 1,556,884,930,000 | Lean | UTF-8 | Lean | false | false | 16,853 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Compiler.BorrowedAnnotation
import Lean.Meta.KAbstract
import Lean.Meta.MatchUtil
import Lean.Elab.SyntheticMVars
namespace Lean.Elab.Term
open... |
65b871ed1835251361a6a875f2e7741b3d2d3978 | aa3f8992ef7806974bc1ffd468baa0c79f4d6643 | /tests/lean/run/e14.lean | a9aae9ac95cc9dbb9037e847fb1d488fe7183ecb | [
"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 | 858 | lean | inductive nat : Type :=
zero : nat,
succ : nat → nat
namespace nat end nat open nat
inductive list (A : Type) : Type :=
nil {} : list A,
cons : A → list A → list A
definition nil := @list.nil
definition cons := @list.cons
check nil
check nil.{1}
check @nil.{1} nat
check @nil nat
check cons nat.zero nil
inductive ... |
2bc1f97e016bde595418cafb7bca2064fb0e305a | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /src/Lean/Meta/UnificationHint.lean | 9c3957537f71ece43fc589fa8d070252cf2ec210 | [
"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 | 5,268 | 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.DiscrTree
import Lean.Meta.SynthInstance
namespace Lean.Meta
structure Unific... |
6dede9290466e20602695c52567c590700a599c7 | 5749d8999a76f3a8fddceca1f6941981e33aaa96 | /src/data/real/hyperreal.lean | 2c6d9f50e5c242b1428fa46baf0376a178b537da | [
"Apache-2.0"
] | permissive | jdsalchow/mathlib | 13ab43ef0d0515a17e550b16d09bd14b76125276 | 497e692b946d93906900bb33a51fd243e7649406 | refs/heads/master | 1,585,819,143,348 | 1,580,072,892,000 | 1,580,072,892,000 | 154,287,128 | 0 | 0 | Apache-2.0 | 1,540,281,610,000 | 1,540,281,609,000 | null | UTF-8 | Lean | false | false | 36,498 | 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
Construction of the hyperreal numbers as an ultraproduct of real sequences.
-/
import data.real.basic algebra.field order.filter.filter_product anal... |
b72f0e3efe89edf6af0ce94b6691c88a9dfc0922 | e0b0b1648286e442507eb62344760d5cd8d13f2d | /stage0/src/Lean/Elab/Tactic/Induction.lean | e7c67329b1e251211da41903d6f5769ad66acef7 | [
"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 | 19,155 | lean | /-
Copyright (c) 2020 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura, Sebastian Ullrich
-/
import Lean.Util.CollectFVars
import Lean.Parser.Term
import Lean.Meta.RecursorInfo
import Lean.Meta.CollectMVars
import Lean.Meta.Tactic... |
5cbf5ad8b0388894bacdd04d9a9b03d8d4fd20a3 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/doc_string6.lean | 2425b851b5a300cc3582513d7698d8cd1108b913 | [
"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 | 265 | lean | /--
/- /- /- nested docstring -/ -/ -/
-/
def foo : string := "/- /- /- nested docstring -/ -/ -/"
open tactic
run_cmd do
doc ← doc_string `foo,
if doc = foo then skip
else fail ("doc string of `foo` was:\n" ++ doc ++
"\n\nexpected:\n" ++ foo)
|
92e3a3b5c131312589bf0a025d870429e82cdab8 | 36938939954e91f23dec66a02728db08a7acfcf9 | /lean4/app/Types.lean | 931953ca93ea69f1cf0784c59eb16b1355495045 | [] | 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 | 13,069 | lean | import Galois.Data.ByteArray
import LeanLLVM.AST
import LeanLLVM.PP
import Main.Elf
import ReoptVCG.Annotations
import ReoptVCG.VCGBackend
import ReoptVCG.MCStdLib
import SMTLIB.Syntax
import DecodeX86.DecodeX86
-- TODO move these (or similar fns) to lean-llvm
def LLVM.Ident.pp : LLVM.Ident → String := LLVM.Doc.rende... |
43d9d0650d3e1c89ec8ada3d4438d3a6c5ba2e7a | 69d4931b605e11ca61881fc4f66db50a0a875e39 | /src/measure_theory/outer_measure.lean | 1b67f31fabe9ea73acd35f89e40daaf5f4662cd5 | [
"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 | 61,166 | 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 analysis.specific_limits
import measure_theory.measurable_space
import measure_theory.pi_system
import data.matrix.notation
import topology.alg... |
bc832437ad8be2a1693a93f864434892b017add6 | 7cef822f3b952965621309e88eadf618da0c8ae9 | /src/algebra/group/with_one.lean | 945b339e47d9e3661a765a648ad97a7065f95df8 | [
"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 | 7,751 | 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
Various multiplicative and additive structures.
-/
import algebra.group.to_additive algebra.group.basic algebra.group.hom
universes u v
variable {α : T... |
34fa7ccfdd75149e7d7649c3467ed9ddab59c9ae | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/algebra/covariant_and_contravariant.lean | a7918f192619504e35be6bddd27bafcf46e2cd97 | [
"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 | 14,358 | lean | /-
Copyright (c) 2021 Damiano Testa. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Damiano Testa
-/
import algebra.group.defs
import order.basic
import order.monotone
/-!
# Covariants and contravariants
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> https://github.c... |
95517f3ad6b56b12aa92be0b5f41b6708b4a4c8c | 4727251e0cd73359b15b664c3170e5d754078599 | /src/model_theory/quotients.lean | f29518061d4c41a26b64ce1e26e89262442b6399 | [
"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 | 2,551 | lean | /-
Copyright (c) 2022 Aaron Anderson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Aaron Anderson
-/
import data.fintype.basic
import model_theory.semantics
/-!
# Quotients of First-Order Structures
This file defines prestructures and quotients of first-order struct... |
0ead681a08e9a9233930543161049814289c816b | 5fbbd711f9bfc21ee168f46a4be146603ece8835 | /lean/natural_number_game/function/8.lean | 0cd5a59dfdc4c90056901c40e545277d7f4d41b6 | [
"LicenseRef-scancode-warranty-disclaimer"
] | no_license | goedel-gang/maths | 22596f71e3fde9c088e59931f128a3b5efb73a2c | a20a6f6a8ce800427afd595c598a5ad43da1408d | refs/heads/master | 1,623,055,941,960 | 1,621,599,441,000 | 1,621,599,441,000 | 169,335,840 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 117 | lean | example (P Q : Type) : (P → Q) → ((Q → empty) → (P → empty)) :=
begin
intros f h p,
exact h (f p),
end
|
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