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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
655c4088319b37ce51795a6890dfc5dd7c19f425 | 35677d2df3f081738fa6b08138e03ee36bc33cad | /src/field_theory/minimal_polynomial.lean | d43ed50e5da79db4bfbfeefe5d4b679c4f9133ca | [
"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 | 8,859 | lean | /-
Copyright (c) 2019 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Johan Commelin
-/
import ring_theory.integral_closure
/-!
# Minimal polynomials
This file defines the minimal polynomial of an element x of an A-algebra B,
under the ass... |
1616ea2cb642eee9523e61ff0532276f51f39640 | b7fc5b86b12212bea5542eb2c9d9f0988fd78697 | /src/solutions/thursday/groups_rings_fields.lean | 5b63efd91076f1cede8620bdabf0686da564a32c | [] | no_license | stjordanis/lftcm2020 | 3b16591aec853c8546d9c8b69c0bf3f5f3956fee | 1f3485e4dafdc587b451ec5144a1d8d3ec9b411e | refs/heads/master | 1,675,958,865,413 | 1,609,901,722,000 | 1,609,901,722,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 11,927 | lean | import linear_algebra.finite_dimensional
import ring_theory.algebraic
import data.zmod.basic
import data.real.basic
import tactic
/-!
```
____
/ ___|_ __ ___ _ _ _ __ ___
| | _| '__/ _ \| | | | '_ \/ __|
| |_| | | | (_) | |_| | |_) \__ \_
\____|_| \___/ \__,_| .__/|___( )
|_| |/
... |
d10dcde0151116bfb275aef89854c266695e9565 | a45212b1526d532e6e83c44ddca6a05795113ddc | /src/category_theory/isomorphism.lean | 70978f47d7a571de07a5b07dd959aa01b879d54c | [
"Apache-2.0"
] | permissive | fpvandoorn/mathlib | b21ab4068db079cbb8590b58fda9cc4bc1f35df4 | b3433a51ea8bc07c4159c1073838fc0ee9b8f227 | refs/heads/master | 1,624,791,089,608 | 1,556,715,231,000 | 1,556,715,231,000 | 165,722,980 | 5 | 0 | Apache-2.0 | 1,552,657,455,000 | 1,547,494,646,000 | Lean | UTF-8 | Lean | false | false | 7,873 | lean | -- Copyright (c) 2017 Scott Morrison. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Authors: Tim Baumann, Stephen Morgan, Scott Morrison
import category_theory.functor
universes v u -- declare the `v`'s first; see `category_theory.category` for an explanation
namespac... |
9cdfae842f1173cc28c83f96ab204b63d07e12b2 | 315b4184091c669ce8e5e07f9b24473c4bcfbaaf | /tests/lean/run/check_constants.lean | 6badec575b3856c6db7c2c5da05897ce561f168c | [
"Apache-2.0"
] | permissive | haraldschilly/lean | 78404910ad4c258cdf84e0509e4348c1525e57a9 | d01e2d7ae8250e8f69139d8cb37950079e76ca9d | refs/heads/master | 1,619,977,395,095 | 1,517,501,044,000 | 1,517,940,670,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 15,474 | lean | -- DO NOT EDIT, automatically generated file, generator scripts/gen_constants_cpp.py
import smt system.io
open tactic
meta def script_check_id (n : name) : tactic unit :=
do env ← get_env, (env^.get n >> return ()) <|> (guard $ env^.is_namespace n) <|> (attribute.get_instances n >> return ()) <|> fail ("identifier '" +... |
c167099dd96919887deb6e156e46fd129f4773ad | 453dcd7c0d1ef170b0843a81d7d8caedc9741dce | /tactic/replacer.lean | aa3004a0a65d89b3f4094a289c70ed706e1f8fd6 | [
"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 | 2,754 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Mario Carneiro
A mechanism for defining tactics for use in auto params, whose
meaning is defined incrementally through attributes.
-/
namespace tactic
meta def replacer_attr (ntac : n... |
9da0dca37fb84d337782bc6c80170b22d54296d2 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/2006.lean | 84340a0b6196e45f7a4146fadc117a3e1d00c993 | [
"Apache-2.0",
"LLVM-exception",
"NCSA",
"LGPL-3.0-only",
"LicenseRef-scancode-inner-net-2.0",
"BSD-3-Clause",
"LGPL-2.0-or-later",
"Spencer-94",
"LGPL-2.1-or-later",
"HPND",
"LicenseRef-scancode-pcre",
"ISC",
"LGPL-2.1-only",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | leanprover/lean4 | 4bdf9790294964627eb9be79f5e8f6157780b4cc | f1f9dc0f2f531af3312398999d8b8303fa5f096b | refs/heads/master | 1,693,360,665,786 | 1,693,350,868,000 | 1,693,350,868,000 | 129,571,436 | 2,827 | 311 | Apache-2.0 | 1,694,716,156,000 | 1,523,760,560,000 | Lean | UTF-8 | Lean | false | false | 3 | lean | /-
|
773438c469ef5b03c9f716d4bfbe0e5a19a414f9 | 32da3d0f92cab08875472ef6cacc1931c2b3eafa | /src/topology/instances/ennreal.lean | 6897853c2a8fec23bf21b8b2de803f54a58ea37c | [
"Apache-2.0"
] | permissive | karthiknadig/mathlib | b6073c3748860bfc9a3e55da86afcddba62dc913 | 33a86cfff12d7f200d0010cd03b95e9b69a6c1a5 | refs/heads/master | 1,676,389,371,851 | 1,610,061,127,000 | 1,610,061,127,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 43,959 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Johannes Hölzl
-/
import topology.instances.nnreal
/-!
# Extended non-negative reals
-/
noncomputable theory
open classical set filter metric
open_locale classical topological_space e... |
2f1563e1eedfcddad875f8faad2e6e5721862a0f | 618003631150032a5676f229d13a079ac875ff77 | /src/ring_theory/localization.lean | 31665d6d058a46ef2c6381b23b75c89904f7e8f6 | [
"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 | 23,761 | lean | /-
Copyright (c) 2018 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau, Mario Carneiro, Johan Commelin, Amelia Livingston
-/
import data.equiv.ring
import tactic.ring_exp
import ring_theory.ideal_operations
import group_theory.monoid_localization
/... |
96cddad034f489df5046d14babf1ea1c8329b9a7 | e91b0bc0bcf14cf6e1bfc20ad1f00ad7cfa5fa76 | /src/sheaves/presheaf_of_rings_on_basis.lean | cc975737ef88fe70841a1b12df6d9c18c2884709 | [] | no_license | kckennylau/lean-scheme | b2de50025289a0339d97798466ef777e1899b0f8 | 8dc513ef9606d2988227490e915b7c7e173a2791 | refs/heads/master | 1,587,165,137,978 | 1,548,172,249,000 | 1,548,172,249,000 | 167,025,881 | 0 | 0 | null | 1,548,173,930,000 | 1,548,173,924,000 | Lean | UTF-8 | Lean | false | false | 1,360 | lean | import sheaves.presheaf_of_types_on_basis
universe u
open topological_space
structure presheaf_of_rings_on_basis (α : Type u) [TX : topological_space α]
{B : set (set α)} (HB : topological_space.is_topological_basis B)
extends presheaf_of_types_on_basis α HB :=
(Fring : ∀ {U} (BU : U ∈ B), comm_ring (F ... |
07ef64fdecd3e11dfb40bc7704cb1a676524084f | 947b78d97130d56365ae2ec264df196ce769371a | /tests/lean/run/coeIssue3.lean | 3cd710985d9ccaf00b07e27a032eb0a46c60e22c | [
"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 | 512 | lean | new_frontend
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 li... |
36fdef7b66e11163407732ad4fd0d7f1e04290d4 | 947fa6c38e48771ae886239b4edce6db6e18d0fb | /src/data/complex/module.lean | 0c13030e78d2e0c973ddb53a6379eebbd6b8658e | [
"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 | 11,565 | lean | /-
Copyright (c) 2020 Alexander Bentkamp, Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Alexander Bentkamp, Sébastien Gouëzel, Eric Wieser
-/
import algebra.order.smul
import data.complex.basic
import data.fin.vec_notation
import field_theory.tower
... |
ce301c0e20655f1db58f4616d77f08c8dd71de89 | 42c01158c2730cc6ac3e058c1339c18cb90366e2 | /M1P2/group_theory.lean | e39076ef882041508eb426afd5dbed14949abaeb | [] | no_license | ChrisHughes24/xena | c80d94355d0c2ae8deddda9d01e6d31bc21c30ae | 337a0d7c9f0e255e08d6d0a383e303c080c6ec0c | refs/heads/master | 1,631,059,898,392 | 1,511,200,551,000 | 1,511,200,551,000 | 111,468,589 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 194 | lean | noncomputable theory
constant G : Type
@[instance] constant G_group : group G
variables a b c : G
example : a * (b⁻¹ * 1) = (b * a⁻¹)⁻¹ :=
begin
rw [mul_one,mul_inv_rev,inv_inv]
end
|
2fce7f691e1c7551b77797ad3bc4645e04bb72b1 | 74caf7451c921a8d5ab9c6e2b828c9d0a35aae95 | /library/init/meta/vm.lean | 1397c4d2a3448433329708e76bdcb647cb44176d | [
"Apache-2.0"
] | permissive | sakas--/lean | f37b6fad4fd4206f2891b89f0f8135f57921fc3f | 570d9052820be1d6442a5cc58ece37397f8a9e4c | refs/heads/master | 1,586,127,145,194 | 1,480,960,018,000 | 1,480,960,635,000 | 40,137,176 | 0 | 0 | null | 1,438,621,351,000 | 1,438,621,351,000 | null | UTF-8 | Lean | false | false | 6,365 | 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.data.option.basic
meta constant vm_obj : Type
inductive vm_obj_kind
| simple | constructor | closure | mpz
| name | l... |
ab399b92a085eb26c79d52a938d362b4a10ee944 | 69d4931b605e11ca61881fc4f66db50a0a875e39 | /src/data/zmod/basic.lean | 0ad419b8e5e77e00c6753b5d047e82b86d75cdb8 | [
"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 | 28,763 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes
-/
import data.int.modeq
import algebra.char_p.basic
import data.nat.totient
import ring_theory.ideal.operations
import tactic.fin_cases
/-!
# Integers mod `n`
Definition... |
2c6c27f97322fb6c9662d99ce87d980a9f36b376 | 48eee836fdb5c613d9a20741c17db44c8e12e61c | /src/algebra/theories/monoid.lean | 705470a3c40479bfe16ed5ff2697ad22a03dbf89 | [
"Apache-2.0"
] | permissive | fgdorais/lean-universal | 06430443a4abe51e303e602684c2977d1f5c0834 | 9259b0f7fb3aa83a9e0a7a3eaa44c262e42cc9b1 | refs/heads/master | 1,592,479,744,136 | 1,589,473,399,000 | 1,589,473,399,000 | 196,287,552 | 1 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 3,487 | lean | -- Copyright © 2019 François G. Dorais. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
import .basic
import .semigroup
import .unital
set_option default_priority 0
namespace algebra
signature monoid (α : Type*) :=
(op : α → α → α)
(id : α)
namespace monoid_sig
variables... |
486e5a70e227902d63275586a404a3688347d4b7 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/termElab.lean | d41055556f2c8fb42b2bf04bda58bd7b578d0c78 | [
"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 | 683 | lean | import Lean
open Lean
open Lean.Elab
open Lean.Elab.Term
def tst1 : TermElabM Unit := do
let opt ← getOptions;
let stx ← `(forall (a b : Nat), Nat);
IO.println "message 1"; -- This message goes direct to stdio. It will be displayed before trace messages.
let e ← elabTermAndSynthesize stx none;
trace[Elab.debug] m!">... |
2f37d1a9c49c728de382f8a862bc6971131f6346 | 1717bcbca047a0d25d687e7e9cd482fba00d058f | /src/topology/subset_properties.lean | f4ee3a5dcaa23c59b5b2bf72ecf68e656b8c507a | [
"Apache-2.0"
] | permissive | swapnilkapoor22/mathlib | 51ad5804e6a0635ed5c7611cee73e089ab271060 | 3e7efd4ecd5d379932a89212eebd362beb01309e | refs/heads/master | 1,676,467,741,465 | 1,610,301,556,000 | 1,610,301,556,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 65,505 | 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, Yury Kudryashov
-/
import topology.continuous_on
import data.finset.order
/-!
# Properties of subsets of topological spaces
## Main definitions
`comp... |
98deb31e97cc81ff23b754d9b58768295dd81131 | 367134ba5a65885e863bdc4507601606690974c1 | /src/data/padics/padic_integers.lean | 0b958620d7f42b51fc443a95c483ebf979083ec0 | [
"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 | 20,170 | lean | /-
Copyright (c) 2018 Robert Y. Lewis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Robert Y. Lewis, Mario Carneiro, Johan Commelin
-/
import data.int.modeq
import data.zmod.basic
import linear_algebra.adic_completion
import data.padics.padic_numbers
import ring_theo... |
95883f3ad7f804cb0bfceca0e7dfc4290dddacfb | 59aed81a2ce7741e690907fc374be338f4f88b6f | /src/math-688/homework/hw-3.lean | c7fb08d3d99e5c1166b711e2e4acfc016e348816 | [] | no_license | agusakov/math-688-lean | c84d5e1423eb208a0281135f0214b91b30d0ef48 | 67dc27ebff55a74c6b5a1c469ba04e7981d2e550 | refs/heads/main | 1,679,699,340,788 | 1,616,602,782,000 | 1,616,602,782,000 | 332,894,454 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 662 | lean | /- Homework 3 -/
/-
1. Let `A` be a real and symmetric `n × n` matrix. For each eigenvalue `θ` of `A`,
let `Uθ` be a matrix whose columns form an orthonormal basis for the eigenspace
corresponding to `θ` and denote `Eθ = Uθ * Uθᵀ`. The matrices `Eθ` are called
the principal idempotents of `A`. The set of (disti... |
dc6a5c9794a5591578b5c6aa6c2bd4c6578a3f09 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/run/trans.lean | 9d782e6d253a5c28ea6c39760ed1b684c070bbde | [
"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 | 1,090 | lean | -- Copyright (c) 2014 Microsoft Corporation. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Author: Leonardo de Moura
import logic
open eq
definition refl := @eq.refl
definition transport {A : Type} {a b : A} {P : A → Type} (p : a = b) (H : P a) : P b
:= eq.rec H p
theo... |
b692e30f0d119671b68e6d928df554fe657566a4 | c2b0bd5aa4b3f4fb8a887fab57c5fc08be03aa01 | /lambda.lean | 1ec452a7cc82bf3a2c47421bfcc621e20ddcf2be | [] | no_license | cipher1024/lambda-calc | f72aa6dedea96fc7831d1898f3150a18baefdf0b | 327eaa12588018c01b2205f3e4e0048de1d97afd | refs/heads/master | 1,625,672,854,392 | 1,507,233,523,000 | 1,507,233,523,000 | 99,383,225 | 4 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,417 | lean |
import data.vector
import .variables.nary
import .lens
universes u u₀ u₁ u₂ u₃
namespace lambda
open nat has_map nary lenses
inductive expr (α β : Type u) : list ℕ → Type u
| var : ∀{n}, var α n → expr n
| app : ∀{n}, expr n → expr n → expr n
| abstr : ∀n {xs}, vector β n → expr (n :: xs) → expr xs
| skip : ∀n {xs... |
6a398a3017764d6194ee0f1646ae5b327ab8ffd2 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/order/countable_dense_linear_order.lean | 3ff3aaed0191968b793f3c6ffc0bf0b6879c0944 | [
"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 | 9,636 | lean | /-
Copyright (c) 2020 David Wärn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: David Wärn
-/
import order.ideal
import data.finset
/-!
# The back and forth method and countable dense linear orders
## Results
Suppose `α β` are linear orders, with `α` countable and ... |
65f04e994b810e57f9da960f34a8edd6a4561e01 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /docs/tutorial/category_theory/intro.lean | ccbbca5d24d812dca6d6680336844e74a0d694c8 | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 9,135 | lean | import category_theory.functor.category -- this transitively imports
-- category_theory.category
-- category_theory.functor
-- category_theory.natural_transformation
/-!
# An introduction to category theory in Lean
This is an introduction to the basic usage of category theory (in the mathematical sense) in Lean.
We c... |
c8d7e959e038fb8bca49273d206c7a1fddc56327 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/smart_unfolding.lean | 58ab4ef7b6aa448745e9bcc57b105c3eb585bc4c | [
"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 | 114 | lean | constant n : nat
#reduce n + (nat.succ n)
set_option type_context.smart_unfolding false
#reduce n + (nat.succ n)
|
ea31c1f4efb087f81ab1594fed7e8d7692f0658e | 3dd1b66af77106badae6edb1c4dea91a146ead30 | /tests/lean/run/num.lean | 663bca263c54695872b4c8ea016e9125449ca135 | [
"Apache-2.0"
] | permissive | silky/lean | 79c20c15c93feef47bb659a2cc139b26f3614642 | df8b88dca2f8da1a422cb618cd476ef5be730546 | refs/heads/master | 1,610,737,587,697 | 1,406,574,534,000 | 1,406,574,534,000 | 22,362,176 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 51 | lean | import num
check 14
check 0
check 3
check 2
check 4 |
21d20eed9959b58e38144fe55d56c7cfda303a19 | ecad13897fdb44984cf1968424224d1750040236 | /lean/lean/examples/example04.lean | 5b367fdc43efb9350e0f45df3b0a3cb4a20a2df7 | [] | no_license | MetaBorgCube/sdf3-demo | 4899159b1cfb0a95ae3af325035bbba8a1255477 | e831606d5b404eba75b087916a1162923143b98a | refs/heads/master | 1,609,472,086,310 | 1,553,380,857,000 | 1,553,380,857,000 | 59,577,395 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 69 | lean | (a : b)(c : d)(e : f) -> e
=>
(a : b) -> (c : d) -> (e : f) -> e
|
9db6be38a99239d2cd7113f26447b3aafa6fa9c3 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/linear_algebra/matrix/charpoly/coeff.lean | 834300d00a30bc850c8f1141b23561f7ad6b7351 | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 8,917 | lean | /-
Copyright (c) 2020 Aaron Anderson, Jalex Stark. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Aaron Anderson, Jalex Stark
-/
import data.polynomial.expand
import linear_algebra.matrix.charpoly.basic
/-!
# Characteristic polynomials
> THIS FILE IS SYNCHRONIZED WI... |
e4244d8707a1eef1f3eaa4645880a43f01476348 | f4bff2062c030df03d65e8b69c88f79b63a359d8 | /src/game/sets/sets_level01.lean | 7c1f707a17fa87bf8cea1e34e420c746d4360e86 | [
"Apache-2.0"
] | permissive | adastra7470/real-number-game | 776606961f52db0eb824555ed2f8e16f92216ea3 | f9dcb7d9255a79b57e62038228a23346c2dc301b | refs/heads/master | 1,669,221,575,893 | 1,594,669,800,000 | 1,594,669,800,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,227 | lean | import data.set.basic -- hide
import kb_defs -- hide
namespace xena -- hide
open_locale classical -- hide
variable X : Type -- we will think of X as a set here
/-
# Chapter 1 : Sets
## Level 1 : Introduction to sets.
This chapter assumes you are familiar with the following tactics:
`rw`, `intro`, `apply`, `exact... |
49ac18146290d61b5bf01f7a218c9543cba707aa | e00ea76a720126cf9f6d732ad6216b5b824d20a7 | /src/tactic/tidy.lean | cd2062af3d38d5e32f5dadc8e68fc8d09ddac32f | [
"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 | 4,466 | 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.ext
import tactic.auto_cases
import tactic.chain
import tactic.solve_by_elim
import tactic.norm_cast
import tactic.hint
import tactic.interactive
names... |
1ce84d14136df178dbdd23fc6398b3859a522ec0 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /archive/100-theorems-list/82_cubing_a_cube.lean | 55e82c52df8ff6d513cb9b1c53ae6e223c18b90c | [
"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 | 23,609 | lean | /-
Copyright (c) 2019 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn
-/
import data.real.basic
import data.set.disjointed
import data.set.intervals
import set_theory.cardinal
/-!
Proof that a cube (in dimension n ≥ 3) cannot be cubed:... |
6144e3dfdcf64208839b52a4da8de3a191a57963 | a4673261e60b025e2c8c825dfa4ab9108246c32e | /tests/lean/run/Reparen.lean | f4f6dc925709b26ced5537cf2f0fa9ba08629813 | [
"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 | 2,005 | lean | /-! Reprint file after removing all parentheses and then passing it through the parenthesizer -/
import Lean.Parser
open Lean
open Lean.Format
def unparenAux (parens body : Syntax) : Syntax :=
match parens.getHeadInfo, body.getHeadInfo, body.getTailInfo, parens.getTailInfo with
| some bi', some bi, some ti, some ti' ... |
5bc8d548f7b2fd5206decb7e207dbc9e0ed19272 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /library/algebra/field.lean | 9609ef4d0ede48e137aa653876e5c51c4b803e51 | [
"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 | 20,330 | lean | /-
Copyright (c) 2014 Robert Lewis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Robert Lewis
Structures with multiplicative and additive components, including division rings and fields.
The development is modeled after Isabelle's library.
-/
import logic.eq logic.c... |
a40cc17908c27541be5e52a4a673e3571b13ca1e | fcf3ffa92a3847189ca669cb18b34ef6b2ec2859 | /src/world8/level3.lean | 85b4f5982a85b08e76549cb5381f1751c33a5a45 | [
"Apache-2.0"
] | permissive | nomoid/lean-proofs | 4a80a97888699dee42b092b7b959b22d9aa0c066 | b9f03a24623d1a1d111d6c2bbf53c617e2596d6a | refs/heads/master | 1,674,955,317,080 | 1,607,475,706,000 | 1,607,475,706,000 | 314,104,281 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 159 | lean | import mynat.definition
namespace mynat
theorem succ_eq_succ_of_eq {a b : mynat} : a = b → succ(a) = succ(b) :=
begin
intro a,
rw a,
end
end mynat |
53a7529c7043a684aadf28bdd76c1e8bdfd5aa57 | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/data/string/basic.lean | 39b7fddc7851168644d3bb6501bec7e0edf3ca5c | [
"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 | 2,518 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Mario Carneiro
Supplementary theorems about the `string` type.
-/
import data.list.basic
import data.char
namespace string
def ltb : iterator → iterator → bool
| s₁ s₂ := begin
cas... |
117ae62e7a5b15647f5e41f8d5591176b77353e8 | e0f9ba56b7fedc16ef8697f6caeef5898b435143 | /src/algebra/ordered_field.lean | 3bb31b53feed7409caa87fd6fde4aa389292f72f | [
"Apache-2.0"
] | permissive | anrddh/mathlib | 6a374da53c7e3a35cb0298b0cd67824efef362b4 | a4266a01d2dcb10de19369307c986d038c7bb6a6 | refs/heads/master | 1,656,710,827,909 | 1,589,560,456,000 | 1,589,560,456,000 | 264,271,800 | 0 | 0 | Apache-2.0 | 1,589,568,062,000 | 1,589,568,061,000 | null | UTF-8 | Lean | false | false | 9,494 | 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.ordered_ring
import algebra.field
section linear_ordered_field
variables {α : Type*} [linear_ordered_field α] {a b c d : α}
lemma div_pos : 0 < a → 0... |
58694b6b8f21b4abed9161d35dae2ca677ccb5f4 | e0f9ba56b7fedc16ef8697f6caeef5898b435143 | /src/ring_theory/ideal_operations.lean | b205935cafa8bade9212520eb1e9cb85dac2af18 | [
"Apache-2.0"
] | permissive | anrddh/mathlib | 6a374da53c7e3a35cb0298b0cd67824efef362b4 | a4266a01d2dcb10de19369307c986d038c7bb6a6 | refs/heads/master | 1,656,710,827,909 | 1,589,560,456,000 | 1,589,560,456,000 | 264,271,800 | 0 | 0 | Apache-2.0 | 1,589,568,062,000 | 1,589,568,061,000 | null | UTF-8 | Lean | false | false | 26,184 | lean | /-
Copyright (c) 2018 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau
More operations on modules and ideals.
-/
import data.nat.choose
import data.equiv.ring
import ring_theory.algebra_operations
universes u v w x
namespace submodule
variables ... |
f42f5a71f1c2dc49f9401a7c0314d32ec41a6c64 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/data/set/intervals/surj_on.lean | f6c18f4202b32c2123c98ca3d5809a85907c3fd6 | [] | 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 | 2,930 | lean | /-
Copyright (c) 2020 Heather Macbeth. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Heather Macbeth
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.data.set.intervals.basic
import Mathlib.data.set.function
import Mathlib.PostPort
univers... |
d0d9f323a844c7be28b0be5edfc350a63bf110f9 | aa3f8992ef7806974bc1ffd468baa0c79f4d6643 | /tests/lean/run/list_elab1.lean | 8da8526facfe71c85e08de6aba8e154736d54706 | [
"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 | 1,125 | lean | ----------------------------------------------------------------------------------------------------
--- Copyright (c) 2014 Parikshit Khanna. All rights reserved.
--- Released under Apache 2.0 license as described in the file LICENSE.
--- Authors: Parikshit Khanna, Jeremy Avigad
----------------------------------------... |
73d1e1cdf61dc3bd9737fa14aaf7afde4bacc458 | 8cb37a089cdb4af3af9d8bf1002b417e407a8e9e | /library/init/meta/smt/ematch.lean | 5ba0fa3a1388d296ef2e7525b4ff2e54ee3ab71b | [
"Apache-2.0"
] | permissive | kbuzzard/lean | ae3c3db4bb462d750dbf7419b28bafb3ec983ef7 | ed1788fd674bb8991acffc8fca585ec746711928 | refs/heads/master | 1,620,983,366,617 | 1,618,937,600,000 | 1,618,937,600,000 | 359,886,396 | 1 | 0 | Apache-2.0 | 1,618,936,987,000 | 1,618,936,987,000 | null | UTF-8 | Lean | false | false | 7,383 | 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
-/
prelude
import init.meta.smt.congruence_closure
import init.meta.attribute init.meta.simp_tactic
import init.meta.interactive_base init.meta.derive
open tac... |
4288c0e5bdd40cfed42cc41fb2225507b984278e | 4727251e0cd73359b15b664c3170e5d754078599 | /src/algebraic_geometry/prime_spectrum/is_open_comap_C.lean | 94a5d44e69992dcb1e08118bf69fb41596048706 | [
"Apache-2.0"
] | permissive | Vierkantor/mathlib | 0ea59ac32a3a43c93c44d70f441c4ee810ccceca | 83bc3b9ce9b13910b57bda6b56222495ebd31c2f | refs/heads/master | 1,658,323,012,449 | 1,652,256,003,000 | 1,652,256,003,000 | 209,296,341 | 0 | 1 | Apache-2.0 | 1,568,807,655,000 | 1,568,807,655,000 | null | UTF-8 | Lean | false | false | 3,083 | 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 algebraic_geometry.prime_spectrum.basic
import ring_theory.polynomial.basic
/-!
The morphism `Spec R[x] --> Spec R` induced by the natural inclusion `R --> R[x]`... |
7fffe99c46fee9f6571a18a17ac28288bee4177f | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /src/Lean/Elab/Attributes.lean | d1c885129ae73c9bc3eae46704c3d0d693123ee8 | [
"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 | 3,854 | 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.Parser.Attr
import Lean.Attributes
import Lean.MonadEnv
import Lean.Elab.Util
namespace Lean.Elab
structure Attribute where
... |
3467b7a5cc047caa0ff38310af8c04f78ef51fbb | 274261f7150b4ed5f1962f172c9357591be8a2b5 | /src/egad.lean | acab75b3084d3959f9901df5acb49f91a1bde4b2 | [] | no_license | rspencer01/lean_representation_theory | 219ea1edf4b9897b2997226b54473e44e1538b50 | 2eef2b4b39d99d7ce71bec7bbc3dcc2f7586fcb5 | refs/heads/master | 1,588,133,157,029 | 1,571,689,957,000 | 1,571,689,957,000 | 175,835,785 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,243 | lean | import data.multiset
import data.finset
import data.list.basic
import .module_filtration
import .quiver
import .lattices
variables {R : Type} [ring R] {M : Module R}
variable (F : filtration (submodule R M))
structure generalised_alperin_diagram :=
(diagram : quiver)
(ac : is_acyclic diagram)
(s : diagram.vert... |
48f0995c0e5e3412f855ab39a24539b0ed00de5a | 4c630d016e43ace8c5f476a5070a471130c8a411 | /ring_theory/associated.lean | a3e282a44a58788283d0e8597263cade466aee15 | [
"Apache-2.0"
] | permissive | ngamt/mathlib | 9a510c391694dc43eec969914e2a0e20b272d172 | 58909bd424209739a2214961eefaa012fb8a18d2 | refs/heads/master | 1,585,942,993,674 | 1,540,739,585,000 | 1,540,916,815,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 20,391 | lean | /-
Copyright (c) 2018 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Jens Wagemaker
Associated and irreducible elements.
-/
import order.galois_connection algebra.group data.equiv.basic data.multiset data.int.gcd
variables {α : Type*} ... |
ae932f1cff2f0c284763b26db746068de948ef72 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/elab5.lean | 6781c764fb77b84ced4d6eec2707bdcb3bc3c490 | [
"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 | 60 | lean | constant s : sum nat bool
#check @eq.refl (sum nat bool) s
|
82a38a181067cd7e7f9eba8515e4e25ea1fd618d | 8f209eb34c0c4b9b6be5e518ebfc767a38bed79c | /code/src/internal/R_red_removable.lean | 402307efe034cf36b720d5ade9aed2dca6152430 | [] | no_license | hediet/masters-thesis | 13e3bcacb6227f25f7ec4691fb78cb0363f2dfb5 | dc40c14cc4ed073673615412f36b4e386ee7aac9 | refs/heads/master | 1,680,591,056,302 | 1,617,710,887,000 | 1,617,710,887,000 | 311,762,038 | 4 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 18,510 | lean | import tactic
import data.finset
import ..definitions
import .internal_definitions
import .tactics
import .utils
import .phi.utils
import .Ant.main
import .Gdt.main
import .U
import .A
import .R
variable [GuardModule]
open GuardModule
lemma R_red_redundant { ant: Ant bool } (ant_disjoint: ant.disjoint_rhss):
ant.... |
66486494d10da7ecd87d642ad4de67f64bd06c15 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/data/pnat/xgcd.lean | 2027de1c747b54f498d7f98805f36086f10ff179 | [
"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 | 13,617 | lean | /-
Copyright (c) 2019 Neil Strickland. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Neil Strickland
-/
import tactic.ring
import data.pnat.prime
/-!
# Euclidean algorithm for ℕ
This file sets up a version of the Euclidean algorithm that only works with natural numb... |
0c15c14e8c9df3624ca8e1b56ee3083884f8392e | a45212b1526d532e6e83c44ddca6a05795113ddc | /src/tactic/mk_iff_of_inductive_prop.lean | 593e5e4bc368ab8856f144d06e91815351c0a694 | [
"Apache-2.0"
] | permissive | fpvandoorn/mathlib | b21ab4068db079cbb8590b58fda9cc4bc1f35df4 | b3433a51ea8bc07c4159c1073838fc0ee9b8f227 | refs/heads/master | 1,624,791,089,608 | 1,556,715,231,000 | 1,556,715,231,000 | 165,722,980 | 5 | 0 | Apache-2.0 | 1,552,657,455,000 | 1,547,494,646,000 | Lean | UTF-8 | Lean | false | false | 6,928 | lean | /-
Copyright (c) 2018 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
Generation function for iff rules for inductives, like for `list.chain`:
∀{α : Type*} (R : α → α → Prop) (a : α) (l : list α),
chain R a l ↔ l = [] ∨ ∃{b : α... |
65104507460f586b753beff11e991e2e803cb5eb | 8cb37a089cdb4af3af9d8bf1002b417e407a8e9e | /library/init/function.lean | c7c2c729b3cfbb4844a45a6d90b0845915b4f19d | [
"Apache-2.0"
] | permissive | kbuzzard/lean | ae3c3db4bb462d750dbf7419b28bafb3ec983ef7 | ed1788fd674bb8991acffc8fca585ec746711928 | refs/heads/master | 1,620,983,366,617 | 1,618,937,600,000 | 1,618,937,600,000 | 359,886,396 | 1 | 0 | Apache-2.0 | 1,618,936,987,000 | 1,618,936,987,000 | null | UTF-8 | Lean | false | false | 6,645 | lean | /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura, Jeremy Avigad, Haitao Zhang
-/
prelude
import init.data.prod init.funext init.logic
/-!
# General operations on functions
-/
universes u₁ u₂ u₃ u₄
namespace f... |
c49d51c37569c6cfc67b9024a355e69d57f81bc8 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/data/seq/seq.lean | 2a18d6727f3ace722550cf166fcc00da74c4d42d | [
"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 | 28,466 | lean | /-
Copyright (c) 2017 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
import data.list.basic
import data.stream.init
import data.lazy_list
import data.seq.computation
universes u v w
/-
coinductive seq (α : Type u) : Type u
| nil : se... |
9e46e39cae5efe2159bfb8f4ddbed272bc0f8e2f | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/number_theory/cyclotomic/discriminant.lean | 61de05a851897f11884af156d4e6cc6546aaf24f | [
"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 | 11,512 | lean | /-
Copyright (c) 2022 Riccardo Brasca. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Riccardo Brasca
-/
import number_theory.cyclotomic.primitive_roots
import ring_theory.discriminant
/-!
# Discriminant of cyclotomic fields
We compute the discriminant of a `p ^ n`-t... |
3128e742593e0ada82da932c4aa40a6bda01e368 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/1024.lean | 17da7756b5f749409053e031aef61e5db60c44a4 | [
"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 | 894 | lean | inductive Vector (α : Type u): Nat → Type u where
| nil : Vector α 0
| cons (head : α) (tail : Vector α n) : Vector α (n+1)
namespace Vector
def nth : ∀{n}, Vector α n → Fin n → α
| n+1, cons x xs, ⟨ 0, _⟩ => x
| n+1, cons x xs, ⟨k+1, h⟩ => xs.nth ⟨k, sorry⟩
def snoc : ∀{n : Nat} (xs : Vector α n) (x : α), V... |
c06f4409df83ca34a567a4254246d2b83ac126ba | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/data/nat/totient.lean | dbc8360f7cbcbbd546d419d7507f975b59b8a670 | [
"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 | 12,457 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes
-/
import algebra.big_operators.basic
import data.nat.prime
import data.zmod.basic
import ring_theory.multiplicity
import data.nat.periodic
import algebra.char_p.two
/-!
# ... |
b76640197dca58fa51ff826ba2d1bf0c328856a7 | 4a3109c7bb55b7ea698278061cbb921b8db93b7f | /mm0-lean/x86/assembly.lean | ba2c21986b761996e95c2555588a150471d7e032 | [
"CC0-1.0"
] | permissive | LongJohnCoder/mm0 | d233200cd7baae9c521cacfbbe162b2ff3bd993f | 0c556a21af92d552e859fd42794f57398c3964cf | refs/heads/master | 1,600,930,472,594 | 1,574,627,400,000 | 1,574,627,400,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 5,078 | lean | import x86.lemmas
namespace x86
inductive arg : Type
| imm : qword → arg
| reg : regnum → arg
| mem : option scale_index → base → ℤ → arg
| label : ℕ → arg
| loc : ℕ → ℤ → arg
inductive directive
| label : ℕ → directive
| loc : ℕ → arg → directive
inductive asm1
| unop : unop → wsize → arg → asm1
| binop : binop → ... |
761c6fa4867dbf779f3f99705490e6f22caa5731 | a19a4fce1e5677f4d20cbfdf60c04b6386ab8210 | /hott/init/types.hlean | f01da8acf3eb23d4c75f558258a662f636ab8f3b | [
"Apache-2.0"
] | permissive | nthomas103/lean | 9c341a316e7d9faa00546462f90a8aa402e17eac | 04eaf184a92606a56e54d0d6c8d59437557263fc | refs/heads/master | 1,586,061,106,806 | 1,454,640,115,000 | 1,454,641,279,000 | 51,127,143 | 0 | 0 | null | 1,454,648,683,000 | 1,454,648,683,000 | null | UTF-8 | Lean | false | false | 4,894 | hlean | /-
Copyright (c) 2014-2015 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura, Jeremy Avigad, Floris van Doorn, Jakob von Raumer
-/
prelude
import init.num init.wf
open iff
-- Empty type
-- ----------
protected definition empty.h... |
24118532a4eb9ecf25a136c0d3b53fe089136e7c | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /src/Lean/Server/Watchdog.lean | bb22b52f7be8b70e7c2e1274e5923f667e102cb9 | [
"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 | 34,035 | lean | /-
Copyright (c) 2020 Marc Huisinga. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Marc Huisinga, Wojciech Nawrocki
-/
import Init.System.IO
import Init.Data.ByteArray
import Std.Data.RBMap
import Std.System.Uri
import Lean.Elab.Import
import Lean.Util.Paths
import... |
17962f7c63a58f07b28f2e4a22013e4102de669e | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /library/logic/default.lean | 21d615c022df37a3e36b8c373cd9ed3e46a7c399 | [
"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 | 246 | lean | /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Jeremy Avigad
-/
import logic.eq logic.connectives logic.cast
import logic.quantifiers logic.identities
|
cb3e4d060923a87e1ab1e86d2da66df79dc932f4 | 2c096fdfecf64e46ea7bc6ce5521f142b5926864 | /src/Lean/PrettyPrinter/Delaborator/Builtins.lean | 4cf71c1fda5eb97cf8a6260c5fef36b8c0c3ad37 | [
"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 | 32,385 | lean | /-
Copyright (c) 2020 Sebastian Ullrich. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sebastian Ullrich
-/
import Lean.PrettyPrinter.Delaborator.Basic
import Lean.PrettyPrinter.Delaborator.SubExpr
import Lean.PrettyPrinter.Delaborator.TopDownAnalyze
import Lean.Pars... |
51682487c8654972ff18dde8c130d84a47ad8fe9 | 49bd2218ae088932d847f9030c8dbff1c5607bb7 | /src/data/finsupp.lean | c0918452b2d3d6462a0bb9166b5f0d6a9306ba26 | [
"Apache-2.0"
] | permissive | FredericLeRoux/mathlib | e8f696421dd3e4edc8c7edb3369421c8463d7bac | 3645bf8fb426757e0a20af110d1fdded281d286e | refs/heads/master | 1,607,062,870,732 | 1,578,513,186,000 | 1,578,513,186,000 | 231,653,181 | 0 | 0 | Apache-2.0 | 1,578,080,327,000 | 1,578,080,326,000 | null | UTF-8 | Lean | false | false | 61,675 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
Type of functions with finite support.
Functions with finite support provide the basis for the following concrete instances:
* ℕ →₀ α: Polynomials (where α is a ring... |
45e756cbb978c37f8564f740ca27c010fb71f6c8 | 2fbe653e4bc441efde5e5d250566e65538709888 | /src/data/subtype.lean | 37d3289d0667dca7a5e34cee8c59060cdaa36102 | [
"Apache-2.0"
] | permissive | aceg00/mathlib | 5e15e79a8af87ff7eb8c17e2629c442ef24e746b | 8786ea6d6d46d6969ac9a869eb818bf100802882 | refs/heads/master | 1,649,202,698,930 | 1,580,924,783,000 | 1,580,924,783,000 | 149,197,272 | 0 | 0 | Apache-2.0 | 1,537,224,208,000 | 1,537,224,207,000 | null | UTF-8 | Lean | false | false | 4,570 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Johannes Hölzl
-/
-- Lean complains if this section is turned into a namespace
open function
section subtype
variables {α : Sort*} {p : α → Prop}
@[simp] theorem subtype.forall {q : {... |
a9a94199d7648a0f1e829bc54ee3dab42a9b9c1b | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/openScoped.lean | 9b8e02ef984e8aaf5b4fe1d840038cffda062378 | [
"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 | 409 | lean | #check epsilon -- Error
noncomputable def foo1 (f g : Nat → Nat) : Nat :=
if f = g then 1 else 2 -- Error
section
open Classical
#check epsilon
noncomputable def foo2 (f g : Nat → Nat) : Nat :=
if f = g then 1 else 2 -- Ok
end
#check epsilon -- Error
section
open scoped Classical
#check epsilon -- Error
non... |
aea23d99378b0ad09ad0defebe3bc8437c5a0bb2 | 2eab05920d6eeb06665e1a6df77b3157354316ad | /src/algebra/group/hom.lean | f094b7f71a111057556887f42fc3ffec88e5b13f | [
"Apache-2.0"
] | permissive | ayush1801/mathlib | 78949b9f789f488148142221606bf15c02b960d2 | ce164e28f262acbb3de6281b3b03660a9f744e3c | refs/heads/master | 1,692,886,907,941 | 1,635,270,866,000 | 1,635,270,866,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 37,003 | lean | /-
Copyright (c) 2018 Patrick Massot. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Patrick Massot, Kevin Buzzard, Scott Morrison, Johan Commelin, Chris Hughes,
Johannes Hölzl, Yury Kudryashov
-/
import algebra.group.commute
import algebra.group_with_zero.defs
/-!
... |
c43c9342869f422590a1d1f9d22ac5a82eac1302 | 55c7fc2bf55d496ace18cd6f3376e12bb14c8cc5 | /src/algebra/continued_fractions/computation/approximations.lean | 31dceda924bfd36fcb42bb3f5aa81a02788f9ee9 | [
"Apache-2.0"
] | permissive | dupuisf/mathlib | 62de4ec6544bf3b79086afd27b6529acfaf2c1bb | 8582b06b0a5d06c33ee07d0bdf7c646cae22cf36 | refs/heads/master | 1,669,494,854,016 | 1,595,692,409,000 | 1,595,692,409,000 | 272,046,630 | 0 | 0 | Apache-2.0 | 1,592,066,143,000 | 1,592,066,142,000 | null | UTF-8 | Lean | false | false | 14,663 | lean | /-
Copyright (c) 2020 Kevin Kappelmann. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kevin Kappelmann
-/
import algebra.continued_fractions.computation.translations
import algebra.continued_fractions.continuants_recurrence
import algebra.continued_fractions.terminate... |
dfe8bae7b32c689a456456519a91b58f2d2232af | 74caf7451c921a8d5ab9c6e2b828c9d0a35aae95 | /library/init/meta/expr.lean | 0646a751536cc0fd9a7710261337e7d7c6a57452 | [
"Apache-2.0"
] | permissive | sakas--/lean | f37b6fad4fd4206f2891b89f0f8135f57921fc3f | 570d9052820be1d6442a5cc58ece37397f8a9e4c | refs/heads/master | 1,586,127,145,194 | 1,480,960,018,000 | 1,480,960,635,000 | 40,137,176 | 0 | 0 | null | 1,438,621,351,000 | 1,438,621,351,000 | null | UTF-8 | Lean | false | false | 6,867 | 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.level
inductive binder_info
| default | implicit | strict_implicit | inst_implicit | other
meta constant macro_def : Type
/- Ref... |
1a6690690e4d0e3fd60a3ad14200ef688ea5dc01 | d1a52c3f208fa42c41df8278c3d280f075eb020c | /stage0/src/Init/SizeOf.lean | 000fa5538c568eed7a8bc29fed7051abaab7e9c6 | [
"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 | 1,811 | 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
-/
prelude
import Init.Notation
/- SizeOf -/
class SizeOf (α : Sort u) where
sizeOf : α → Nat
export SizeOf (sizeOf)
/-
Declare sizeOf instances and theo... |
265a0ad8c4ec49dcdae1029f01ef1e5a879d6b7b | 4b846d8dabdc64e7ea03552bad8f7fa74763fc67 | /tests/lean/run/IO3.lean | adeede7d3d323e5b40620d2a7e14843d4782af98 | [
"Apache-2.0"
] | permissive | pacchiano/lean | 9324b33f3ac3b5c5647285160f9f6ea8d0d767dc | fdadada3a970377a6df8afcd629a6f2eab6e84e8 | refs/heads/master | 1,611,357,380,399 | 1,489,870,101,000 | 1,489,870,101,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 217 | lean | import system.io
open io
def main : io unit :=
do { l ← get_line,
if l = "hello" then
put_str "you have typed hello\n"
else
do {put_str "you did not type hello\n", put_str "-----------\n"} }
|
80166defaa9a0d62216703a525ec3ee7608174e8 | 947b78d97130d56365ae2ec264df196ce769371a | /src/Lean/Elab/Attributes.lean | fe2b6d10605bdb5d8dddd9a9f815f3342055d670 | [
"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 | 1,796 | 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.Parser.Basic
import Lean.Attributes
import Lean.MonadEnv
namespace Lean
namespace Elab
structure Attribute :=
(name : Name)... |
b87bd38de6f081f29107918903ec5a425a85766f | 5e3548e65f2c037cb94cd5524c90c623fbd6d46a | /src_icannos_totilas/reduction/cpge_reduction_001.lean | a605de341c8302a595e58f28c35ce37688786b6d | [] | no_license | ahayat16/lean_exos | d4f08c30adb601a06511a71b5ffb4d22d12ef77f | 682f2552d5b04a8c8eb9e4ab15f875a91b03845c | refs/heads/main | 1,693,101,073,585 | 1,636,479,336,000 | 1,636,479,336,000 | 415,000,441 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 366 | lean | import algebra.module.basic
import algebra.module.linear_map
import linear_algebra.basic
import linear_algebra.prod
import linear_algebra.projection
import order.bounded_lattice
theorem cpge_reduction_1 (R : Type*) (M : Type*)
[semiring R] [add_comm_monoid M] [module R M] (u : linear_map R M M) (E : submodule R M) : ... |
96582065f72c87f15acef7316d5b2a1815224570 | 94e33a31faa76775069b071adea97e86e218a8ee | /src/combinatorics/set_family/harris_kleitman.lean | 153ea58531502ff4573d98f71bf6888d40976c1b | [
"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 | 8,224 | 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 algebra.big_operators.basic
import order.upper_lower
/-!
# Harris-Kleitman inequality
This file proves the Harris-Kleitman inequality. This relates `𝒜.card * ℬ.... |
94a58a1884a782e165e733d51b599a29729db1da | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/algebra/graded_monoid.lean | b1148140c6b47e7e439f609bfe38de5442c59bed | [
"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 | 21,992 | lean | /-
Copyright (c) 2021 Eric Wieser. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Eric Wieser
-/
import algebra.group.inj_surj
import data.list.big_operators
import data.list.range
import group_theory.group_action.defs
import group_theory.submonoid.basic
import data.se... |
23990ebf1082008ac150203d5c21ddf4f3068b3e | c777c32c8e484e195053731103c5e52af26a25d1 | /src/topology/instances/complex.lean | bf183b83e7a8871bc7adc17df545b1be82a68934 | [
"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 | 4,779 | lean | /-
Copyright (c) 2022 Xavier Roblot. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Xavier Roblot
-/
import analysis.complex.basic
import field_theory.intermediate_field
import topology.algebra.uniform_ring
/-!
# Some results about the topology of ℂ
-/
section compl... |
b65d2147ff9674e9fd2f9021b51edcc96d6ed0e9 | 626e312b5c1cb2d88fca108f5933076012633192 | /src/ring_theory/ideal/operations.lean | b0e25c9498fe6198fb82e30c3aa6f33dd7f007a4 | [
"Apache-2.0"
] | permissive | Bioye97/mathlib | 9db2f9ee54418d29dd06996279ba9dc874fd6beb | 782a20a27ee83b523f801ff34efb1a9557085019 | refs/heads/master | 1,690,305,956,488 | 1,631,067,774,000 | 1,631,067,774,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 74,113 | 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... |
8bd68573f24d1e9c33071aee016de3d37e645106 | c1a29ca460720df88ab68dc42d9a1a02e029d505 | /examples/basics/order_divisibility_2_4.lean | 8622d5aeeb2c1a3c22f86299081b29e26681f975 | [] | no_license | agusakov/mathematics_in_lean | acb5b3d659e4522ae4b4836ea550527f03f6546c | 2539562e4d91c858c73dbecb5b282ce1a7d38b6d | refs/heads/master | 1,665,963,365,241 | 1,592,080,022,000 | 1,592,080,022,000 | 272,078,062 | 0 | 0 | null | 1,592,078,772,000 | 1,592,078,772,000 | null | UTF-8 | Lean | false | false | 2,299 | lean | import data.real.basic
variables a b c d : ℝ
-- BEGIN
#check (min_le_left a b : min a b ≤ a)
#check (min_le_right a b : min a b ≤ b)
#check (le_min : c ≤ a → c ≤ b → c ≤ min a b)
-- ENDimport data.real.basic
variables a b : ℝ
-- BEGIN
example : min a b = min b a :=
begin
apply le_antisymm,
{ show min a b ≤ min ... |
b73f1e4072eef4b39e4a5b87062f5fc72ff24760 | c777c32c8e484e195053731103c5e52af26a25d1 | /src/ring_theory/subring/basic.lean | 68334a8fdd49ddc0981a820fef3bf0263cc32285 | [
"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 | 47,564 | lean | /-
Copyright (c) 2020 Ashvni Narayanan. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Ashvni Narayanan
-/
import group_theory.subgroup.basic
import ring_theory.subsemiring.basic
/-!
# Subrings
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file re... |
c5db70d68a73f639e22a01074fd4c9916a226928 | 3dd1b66af77106badae6edb1c4dea91a146ead30 | /tests/lean/t1.lean | eb88fc206149e04d7680154849a94254d90df940 | [
"Apache-2.0"
] | permissive | silky/lean | 79c20c15c93feef47bb659a2cc139b26f3614642 | df8b88dca2f8da1a422cb618cd476ef5be730546 | refs/heads/master | 1,610,737,587,697 | 1,406,574,534,000 | 1,406,574,534,000 | 22,362,176 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 185 | lean |
(*
print("testing...")
local env = get_env()
env = add_decl(env, mk_var_decl("x", Prop))
assert(env:find("x"))
set_env(env)
*)
(*
local env = get_env()
print(env:find("x"):type())
*)
|
2c13774ad7fd0dd20776099693c53ed24e246ff9 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/algebra/hom/non_unital_alg.lean | 8d9221d46a2d8708ae5bc9244608ab615a88db48 | [
"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 | 11,472 | lean | /-
Copyright (c) 2021 Oliver Nash. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Oliver Nash
-/
import algebra.algebra.basic
/-!
# Morphisms of non-unital algebras
This file defines morphisms between two types, each of which carries:
* an addition,
* an additive z... |
4ef9156af7613a5c33b6514e27886682e6a42e85 | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /stage0/src/Init/NotationExtra.lean | fb8a3498edad6023288caf485013c9ffabfce696 | [
"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 | 12,734 | 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
Extra notation that depends on Init/Meta
-/
prelude
import Init.Meta
import Init.Data.Array.Subarray
import Init.Data.ToString
namespace Lean
macro "Macro.tr... |
c59f20740d7f3b9d245b90552f411d4ccb675388 | f2fbd9ce3f46053c664b74a5294d7d2f584e72d3 | /src/for_mathlib/completion.lean | a0ebb4e3d62a21ce53bebdcf1f36da366ac43995 | [
"Apache-2.0"
] | permissive | jcommelin/lean-perfectoid-spaces | c656ae26a2338ee7a0072dab63baf577f079ca12 | d5ed816bcc116fd4cde5ce9aaf03905d00ee391c | refs/heads/master | 1,584,610,432,107 | 1,538,491,594,000 | 1,538,491,594,000 | 136,299,168 | 0 | 0 | null | 1,528,274,452,000 | 1,528,274,452,000 | null | UTF-8 | Lean | false | false | 15,040 | lean | /-
Copyright (c) 2018 Patrick Massot. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Patrick Massot
Hausdorff completions of uniform spaces.
The goal is to construct a left-adjoint to the inclusion of complete Hausdorff uniform spaces
into all uniform spaces. Any uni... |
2de6a3160b97fb3803311d68566b002e359e6083 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/data/mv_polynomial/basic.lean | 6408f52233976a238b80e49949fc3b4693789b71 | [
"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 | 47,738 | 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 ring_theory.adjoin.basic
import data.finsupp.antidiagonal
import algebra.monoid_algebra.basic
import order.symm_diff
/-!
# Mu... |
41e2a4114f1ec437cc089870457300828a3d5ae6 | 367134ba5a65885e863bdc4507601606690974c1 | /src/data/set/intervals/ord_connected.lean | e981566098fb2d47e1ce1de91ed0bbe04d0b6f35 | [
"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 | 6,283 | lean | /-
Copyright (c) 2020 Yury G. Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Yury G. Kudryashov
-/
import data.set.intervals.unordered_interval
import data.set.lattice
/-!
# Order-connected sets
We say that a set `s : set α` is `ord_connected` if for all `... |
4f15e4c2102229ff2b911355af3fff7391d80315 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/category_theory/abelian/exact.lean | 79419368d87ef85ecfc9b16424f8c574cbec4246 | [
"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 | 18,199 | lean | /-
Copyright (c) 2020 Markus Himmel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Markus Himmel, Adam Topaz, Johan Commelin, Jakob von Raumer
-/
import category_theory.abelian.opposite
import category_theory.limits.constructions.finite_products_of_binary_products
imp... |
b9b49221a8420299923aec9712312eaa3d85cc21 | 432d948a4d3d242fdfb44b81c9e1b1baacd58617 | /src/group_theory/specific_groups/alternating.lean | 6ea1d58ef8edf01363bc356361ecd4453c928a36 | [
"Apache-2.0"
] | permissive | JLimperg/aesop3 | 306cc6570c556568897ed2e508c8869667252e8a | a4a116f650cc7403428e72bd2e2c4cda300fe03f | refs/heads/master | 1,682,884,916,368 | 1,620,320,033,000 | 1,620,320,033,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,515 | lean | /-
Copyright (c) 2021 Aaron Anderson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Aaron Anderson
-/
import group_theory.perm.cycle_type
/-!
# Alternating Groups
The alternating group on a finite type `α` is the subgroup of the permutation group `perm α`
consistin... |
44574ebd4c0fc79c680406a9d5547a301039b5a4 | 9028d228ac200bbefe3a711342514dd4e4458bff | /src/data/nat/choose/dvd.lean | a58c180b9b8dbb0218ab7bf77f1c07eee892f750 | [
"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 | 1,224 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Patrick Stevens
-/
import data.nat.choose.basic
import data.nat.prime
/-!
# Divisibility properties of binomial coefficients
-/
namespace nat
namespace prime
open_locale ... |
ee2c98c21b03318dcf027fe22c523823220d1df6 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/empty.lean | b4948f6665890790fbe725018ad24a2a003f368c | [
"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 | 190 | lean | import logic
open inhabited nonempty classical
noncomputable definition v1 : Prop := epsilon (λ x, true)
inductive Empty : Type
noncomputable definition v2 : Empty := epsilon (λ x, true)
|
8f8ab102297b36efa7ea02f28693e101b7b49515 | 12dabd587ce2621d9a4eff9f16e354d02e206c8e | /world02/level04.lean | c136bb204923bdd3a741b83255bb8c241ba1fb0b | [] | no_license | abdelq/natural-number-game | a1b5b8f1d52625a7addcefc97c966d3f06a48263 | bbddadc6d2e78ece2e9acd40fa7702ecc2db75c2 | refs/heads/master | 1,668,606,478,691 | 1,594,175,058,000 | 1,594,175,058,000 | 278,673,209 | 0 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 152 | lean | lemma add_comm (a b : mynat) : a + b = b + a :=
begin
induction a with h hd,
rw zero_add,
rw add_zero,
refl,
rw succ_add,
rw hd,
rw add_succ,
refl,
end
|
a8948e8df6e545be32f5fa7215998551077e70da | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/topology/algebra/ring.lean | 7863dd19687cbe1ec4e54c26aceb08a2b9fd6f59 | [
"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 | 13,178 | lean | /-
Copyright (c) 2018 Patrick Massot. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Patrick Massot, Johannes Hölzl
-/
import algebra.ring.prod
import ring_theory.ideal.quotient
import ring_theory.subring
import topology.algebra.group
/-!
# Topological (semi)rings
A... |
49971b99a9bde5420ba1ede9af48ad3c78a7ad51 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/data/set/intervals/proj_Icc.lean | 7a4cf4734a9323bbbbc321471ab8fdf1e436a7e0 | [
"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 | 4,363 | lean | /-
Copyright (c) 2020 Yury G. Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury G. Kudryashov, Patrick Massot
-/
import data.set.intervals.basic
/-!
# Projection of a line onto a closed interval
Given a linearly ordered type `α`, in this file we define
... |
983a4072a6f17c8f6a6beb4ceeb94940afdcee6f | 94637389e03c919023691dcd05bd4411b1034aa5 | /src/inClassNotes/final/env.lean | a4080b65fdab4e38ace53a6ea3fdf61149d00fa6 | [] | no_license | kevinsullivan/complogic-s21 | 7c4eef2105abad899e46502270d9829d913e8afc | 99039501b770248c8ceb39890be5dfe129dc1082 | refs/heads/master | 1,682,985,669,944 | 1,621,126,241,000 | 1,621,126,241,000 | 335,706,272 | 0 | 38 | null | 1,618,325,669,000 | 1,612,374,118,000 | Lean | UTF-8 | Lean | false | false | 248 | lean | import .var
structure env :=
(bool_var_interp : var bool → bool)
(nat_var_interp : var nat → nat)
-- Collect init environments for each of the supported types
def init_env [a: has_var bool] [b: has_var nat] : env :=
⟨ a.init, b.init ⟩
|
26da93c9b47448ac93535a398a25fce2a9dc2c5b | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/linear_algebra/matrix/reindex.lean | 10513e866f5521bda96399febc87439745b7f865 | [
"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 | 5,638 | lean | /-
Copyright (c) 2019 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Patrick Massot, Casper Putz, Anne Baanen
-/
import linear_algebra.matrix.determinant
/-!
# Changing the index type of a matrix
> THIS FILE IS SYNCHRONIZED WITH MATHL... |
dedc726006575f907566b13c724b853a46dcade5 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/topology/uniform_space/compact_separated.lean | 34a4694041207ca4c925ab2cbaeec768363e4b44 | [] | no_license | AurelienSaue/Mathlib4_auto | f538cfd0980f65a6361eadea39e6fc639e9dae14 | 590df64109b08190abe22358fabc3eae000943f2 | refs/heads/master | 1,683,906,849,776 | 1,622,564,669,000 | 1,622,564,669,000 | 371,723,747 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,636 | lean | /-
Copyright (c) 2020 Patrick Massot. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Patrick Massot
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.topology.uniform_space.separation
import Mathlib.PostPort
universes u_1 u_2 u_3
namespac... |
f6dc26dbb1d56734c7585248eba2f9c02310dde1 | 3dc4623269159d02a444fe898d33e8c7e7e9461b | /.github/workflows/project_1_a_decrire/foncteur/import.lean | ad325a15f021c583963e5fc7ec4b84fa8589dd96 | [] | no_license | Or7ando/lean | cc003e6c41048eae7c34aa6bada51c9e9add9e66 | d41169cf4e416a0d42092fb6bdc14131cee9dd15 | refs/heads/master | 1,650,600,589,722 | 1,587,262,906,000 | 1,587,262,906,000 | 255,387,160 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 229 | lean | import tactic
import data.sum
def map_from_sum {A B C : Type} (f : A → C) (g : B → C) : (A ⊕ B) → C := by suggest
/- There are no applicable declarations
state:
A B C : Type,
f : A → C,
g : B → C
⊢ A ⊕ B → C -/ |
2097696ac0d8c08c32be9482f8a88b92e11c7d0c | bbecf0f1968d1fba4124103e4f6b55251d08e9c4 | /src/ring_theory/polynomial/cyclotomic.lean | 659ee697e24d1407810488d768caccbc995283a5 | [
"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 | 30,482 | lean | /-
Copyright (c) 2020 Riccardo Brasca. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Riccardo Brasca
-/
import field_theory.splitting_field
import ring_theory.roots_of_unity
import algebra.polynomial.big_operators
import number_theory.arithmetic_function
import data.... |
cd2829f1dfd6d9d70db0733805ed254e370dbe27 | 302c785c90d40ad3d6be43d33bc6a558354cc2cf | /src/topology/algebra/affine.lean | 5867622b74c73751a7956e98d58c9d5de3672c90 | [
"Apache-2.0"
] | permissive | ilitzroth/mathlib | ea647e67f1fdfd19a0f7bdc5504e8acec6180011 | 5254ef14e3465f6504306132fe3ba9cec9ffff16 | refs/heads/master | 1,680,086,661,182 | 1,617,715,647,000 | 1,617,715,647,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,408 | 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 topology.continuous_function.algebra
import linear_algebra.affine_space.affine_map
/-!
# Topological properties of affine spaces and maps
For now, this con... |
bdf20859159ebe71b55db59854905fc9f377807c | 206422fb9edabf63def0ed2aa3f489150fb09ccb | /src/algebra/group/basic.lean | e5084c533773e3e244b167a6054cef1d7dbebc9b | [
"Apache-2.0"
] | permissive | hamdysalah1/mathlib | b915f86b2503feeae268de369f1b16932321f097 | 95454452f6b3569bf967d35aab8d852b1ddf8017 | refs/heads/master | 1,677,154,116,545 | 1,611,797,994,000 | 1,611,797,994,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 16,298 | 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, Simon Hudon, Mario Carneiro
-/
import algebra.group.defs
import logic.function.basic
universe u
section associative
variables {α : Type u} (f : α → α... |
fd0f86060ff964bd98f9d3135c4a63e34cba409e | a45212b1526d532e6e83c44ddca6a05795113ddc | /src/topology/algebra/continuous_functions.lean | abf60795469f5a529e5960e849ab806f1dfdad03 | [
"Apache-2.0"
] | permissive | fpvandoorn/mathlib | b21ab4068db079cbb8590b58fda9cc4bc1f35df4 | b3433a51ea8bc07c4159c1073838fc0ee9b8f227 | refs/heads/master | 1,624,791,089,608 | 1,556,715,231,000 | 1,556,715,231,000 | 165,722,980 | 5 | 0 | Apache-2.0 | 1,552,657,455,000 | 1,547,494,646,000 | Lean | UTF-8 | Lean | false | false | 2,289 | lean | -- Copyright (c) 2019 Scott Morrison. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Authors: Scott Morrison
import topology.basic
import topology.algebra.ring
import ring_theory.subring
universes u v
local attribute [elab_simple] continuous.comp
@[to_additive continu... |
47c160fb680aca550f9c9d19b4dcd017df799397 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/Lean3Lib/init/meta/level.lean | fcf4df56365c1fbe28006c66fc973ec0822f1fed | [] | 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 | 408 | 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
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.meta.name
import Mathlib.Lean3Lib.init.meta.format
namespace Mathlib
/-- A type universe term. eg `m... |
914fea40f47ff1abdbd0480245d6fb12f5c22d2b | 302c785c90d40ad3d6be43d33bc6a558354cc2cf | /src/analysis/normed_space/finite_dimension.lean | c0404de8b352d522b8561f847871679e241de540 | [
"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 | 21,715 | lean | /-
Copyright (c) 2019 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import analysis.normed_space.operator_norm
import analysis.normed_space.add_torsor
import topology.bases
import linear_algebra.finite_dimensional
/-!
# Finite ... |
a00dd20ef0bea6362e8eefc47c81514af3e0e16c | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/playground/parser/parser.lean | ed89a833a54e17229a623b83a37c860d55f8ea7e | [
"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 | 32,496 | lean | import init.lean.name init.lean.parser.trie init.lean.parser.identifier
import syntax filemap
open Lean
export Lean.Parser (Trie)
-- namespace Lean
namespace Parser
/-- A multimap indexed by tokens. Used for indexing parsers by their leading token. -/
def TokenMap (α : Type) := RBMap Name (List α) Name.quickLt
names... |
1da39392fc9e25092957918427a654b7e0492766 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/linear_algebra/finite_dimensional.lean | ecafdced9e372c1e461ddafab9adfa3b27a2abd7 | [
"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 | 63,070 | lean | /-
Copyright (c) 2019 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes
-/
import algebra.algebra.subalgebra.basic
import field_theory.finiteness
import linear_algebra.free_module.finite.rank
import tactic.interval_cases
/-!
# Finite dimensiona... |
a7b7cacc2ba8a7c630687d184b2db4c5ff0d5eab | d8820d2c92be8052d13f9c8f8c483a6e15c5f566 | /src/M40002/sequences.lean | 290a79b6276a30a8a7e493823f12171d263d524f | [] | no_license | JasonKYi/M4000x_LEAN_formalisation | 4a19b84f6d0fe2e214485b8532e21cd34996c4b1 | 6e99793f2fcbe88596e27644f430e46aa2a464df | refs/heads/master | 1,599,755,414,708 | 1,589,494,604,000 | 1,589,494,604,000 | 221,759,483 | 8 | 1 | null | 1,589,494,605,000 | 1,573,755,201,000 | Lean | UTF-8 | Lean | false | false | 21,927 | lean | -- begin header
import M40002.complete
namespace sequences
-- end header
/- Section
Chapter 3. Sequences
-/
/- Sub-section
Definitions
-/
/-
Let $a : ℕ → ℝ$ be a real valued sequence, then we define convergence of $a$ to some
real $l$ in the standard way.
-/
/- Definition
A real valued sequence $a_n : ℕ → ℝ$ is s... |
330b1ff151811596da399ac7ed12f7c499839166 | 9028d228ac200bbefe3a711342514dd4e4458bff | /src/meta/expr.lean | 27f101ba4d9fb4cc9b815e99c92212942536c618 | [
"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 | 39,183 | lean | /-
Copyright (c) 2019 Robert Y. Lewis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Simon Hudon, Scott Morrison, Keeley Hoek, Robert Y. Lewis
-/
import data.string.defs
import tactic.derive_inhabited
/-!
# Additional operations on expr and related typ... |
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