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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
fbdaee3d865cf9cc7fc2a998ff22f96354b49c2b | 1fbca480c1574e809ae95a3eda58188ff42a5e41 | /src/util/data/finite.lean | e55e88d76d67bea9ce0c2a69453ab93f5132b5ff | [] | no_license | unitb/lean-lib | 560eea0acf02b1fd4bcaac9986d3d7f1a4290e7e | 439b80e606b4ebe4909a08b1d77f4f5c0ee3dee9 | refs/heads/master | 1,610,706,025,400 | 1,570,144,245,000 | 1,570,144,245,000 | 99,579,229 | 5 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 767 | lean |
import util.data.nat
open nat (hiding zero_le)
open list
def fin_interleave (n : ℕ) (i : ℕ) : fin (succ n) :=
⟨i % succ n,mod_lt _ (succ_le_succ $ nat.zero_le _)⟩
theorem inf_repeat_fin_inter {n : ℕ} : ∀ x i, ∃ j, fin_interleave n (i+j) = x :=
begin
intro x,
cases x with x H,
intro i,
existsi x + succ n - (... |
a8d5ca2cc763d9988d33f1a27742101857f063cb | da3a76c514d38801bae19e8a9e496dc31f8e5866 | /library/init/meta/smt/interactive.lean | 647cd424fcf60828ca7effa7789a006816ccf54b | [
"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 | 10,213 | 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.smt_tactic init.meta.interactive
import init.meta.smt.rsimp
namespace smt_tactic
meta def save_info (line : nat) (col : nat) :... |
37b3ebcf1ddb93e3f734b92df980707a29c592da | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/bad_set_option.lean | b65e023626b5874dadc0702d3baace04c65167b2 | [
"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 | 45 | lean | set_option boo true
set_option pp.unicode a
|
a7d18e7e8eda1ebe2206758d2028bdf53212ed6b | 77c5b91fae1b966ddd1db969ba37b6f0e4901e88 | /src/topology/instances/ennreal.lean | 31a9297318a5bf2f26855cb8f862e11a70effb68 | [
"Apache-2.0"
] | permissive | dexmagic/mathlib | ff48eefc56e2412429b31d4fddd41a976eb287ce | 7a5d15a955a92a90e1d398b2281916b9c41270b2 | refs/heads/master | 1,693,481,322,046 | 1,633,360,193,000 | 1,633,360,193,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 55,670 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
-/
import topology.instances.nnreal
import topology.algebra.ordered.liminf_limsup
/-!
# Extended non-negative reals
-/
noncomputable theory
open classical set filter m... |
f05c4bd9cd304dc989aa956cac40409107a9cb17 | 302c785c90d40ad3d6be43d33bc6a558354cc2cf | /src/data/polynomial/iterated_deriv.lean | 03afd32d12e1a4a6c66240b835b9897897474e5e | [
"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 | 8,101 | lean | /-
Copyright (c) 2020 Jujian Zhang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jujian Zhang
-/
import data.polynomial.derivative
import logic.function.iterate
import data.finset.intervals
import tactic.ring
import tactic.linarith
/-!
# Theory of iterated derivati... |
09ed852d9414b01e4c5700b6c193d0559a420ad8 | 75db7e3219bba2fbf41bf5b905f34fcb3c6ca3f2 | /library/data/set/filter.lean | b763bb08ad6225afbf188602c21abebfacb3178a | [
"Apache-2.0"
] | permissive | jroesch/lean | 30ef0860fa905d35b9ad6f76de1a4f65c9af6871 | 3de4ec1a6ce9a960feb2a48eeea8b53246fa34f2 | refs/heads/master | 1,586,090,835,348 | 1,455,142,203,000 | 1,455,142,277,000 | 51,536,958 | 1 | 0 | null | 1,455,215,811,000 | 1,455,215,811,000 | null | UTF-8 | Lean | false | false | 11,875 | lean | /-
Copyright (c) 2015 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Jeremy Avigad
Filters, following Hölzl, Immler, and Huffman, "Type classes and filters for mathematical
analysis in Isabelle/HOL".
-/
import data.set.function logic.identities algebra.c... |
304a79973d4b555591d959a3a6e36ffd825c4cf9 | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/ring_theory/unique_factorization_domain.lean | 2c17a35d0f8ee68483446d6e7de72e5e5519cf8f | [
"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 | 48,059 | 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, Aaron Anderson
-/
import algebra.gcd_monoid
import ring_theory.integral_domain
import ring_theory.noetherian
/--
# Unique factorization
## Main Defi... |
f4024761320acab8210b01a020c1e2913d43372b | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/number_theory/liouville/liouville_constant.lean | 09f200e7d362daddb2cc83b83ade97907b2fca20 | [
"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 | 8,799 | lean | /-
Copyright (c) 2020 Jujian Zhang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Damiano Testa, Jujian Zhang
-/
import number_theory.liouville.basic
/-!
# Liouville constants
This file contains a construction of a family of Liouville numbers, indexed by a natural n... |
bc518ff1a51e7a523d440ff62a9061555ffebea6 | 94e33a31faa76775069b071adea97e86e218a8ee | /src/algebraic_geometry/projective_spectrum/scheme.lean | 2137c7ae90ad3b03b284cfff3e8b6fa967ba5cce | [
"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 | 14,901 | lean | /-
Copyright (c) 2022 Jujian Zhang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jujian Zhang
-/
import algebraic_geometry.projective_spectrum.structure_sheaf
import algebraic_geometry.Spec
/-!
# Proj as a scheme
This file is to prove that `Proj` is a scheme.
## N... |
7798aa21d46c8ef3b65aea7439dc2c264fe191c2 | 4727251e0cd73359b15b664c3170e5d754078599 | /archive/imo/imo2005_q3.lean | 9f7559da9f278b29a2ed6c62f1f0cd4337dcb844 | [
"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 | 3,032 | lean | /-
Copyright (c) 2021 Manuel Candales. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Manuel Candales
-/
import data.real.basic
/-!
# IMO 2005 Q3
Let `x`, `y` and `z` be positive real numbers such that `xyz ≥ 1`. Prove that:
`(x^5 - x^2)/(x^5 + y^2 + z^2) + (y^5 - y^2... |
f38c48b19842b1a810d93e26a742d90f62a9d9d5 | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /tests/lean/run/injective.lean | cf04c92697effdd04443dedc7d40f255e637a6f4 | [
"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 | 812 | lean | universe u v
structure InjectiveFunction (α : Type u) (β : Type v) where
fn : α → β
inj : ∀ a b, fn a = fn b → a = b
def add1 : InjectiveFunction Nat Nat where
fn a := a + 1
inj a b h := by injection h; assumption
instance : CoeFun (InjectiveFunction α β) (fun _ => α → β) where
coe s := s.fn
#eval a... |
8d543c1aa2034139e08aaf48a2396c0ba275d5ff | 43390109ab88557e6090f3245c47479c123ee500 | /src/M1F/problem_bank/0104/Q0104.lean | cee6aed72c2e954947fd25d900e7c6aecf3b63ac | [
"Apache-2.0"
] | permissive | Ja1941/xena-UROP-2018 | 41f0956519f94d56b8bf6834a8d39473f4923200 | b111fb87f343cf79eca3b886f99ee15c1dd9884b | refs/heads/master | 1,662,355,955,139 | 1,590,577,325,000 | 1,590,577,325,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,182 | lean | /-
M1F 2017-18 Sheet 1 Question 1
Author : Kevin Buzzard
This file should work with any version of lean -- whether you installed it yourself
or are running the version on https://leanprover.github.io/live/latest/
-/
-- We probably need the "law of the excluded middle" for this question -- every
-- proposition is eith... |
e4e3e85e29a42a2026c86b0a1d0d982170d084e3 | 1dd482be3f611941db7801003235dc84147ec60a | /src/group_theory/quotient_group.lean | 7b6b3523e2972343601de31cb3b0477fd5e65464 | [
"Apache-2.0"
] | permissive | sanderdahmen/mathlib | 479039302bd66434bb5672c2a4cecf8d69981458 | 8f0eae75cd2d8b7a083cf935666fcce4565df076 | refs/heads/master | 1,587,491,322,775 | 1,549,672,060,000 | 1,549,672,060,000 | 169,748,224 | 0 | 0 | Apache-2.0 | 1,549,636,694,000 | 1,549,636,694,000 | null | UTF-8 | Lean | false | false | 8,771 | lean | /-
Copyright (c) 2018 Kevin Buzzard and Patrick Massot. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kevin Buzzard, Patrick Massot.
This file is to a certain extent based on `quotient_module.lean` by Johannes Hölzl.
-/
import group_theory.coset
universes u v
names... |
ac8a9d360d7be6b9a99166fe62e274c8e69c1297 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/tactic/omega/int/preterm.lean | d538758f6e545df404104aec2c12a6a9b1e07004 | [] | 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 | 1,672 | lean | /-
Copyright (c) 2019 Seul Baek. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Seul Baek
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.tactic.omega.term
import Mathlib.PostPort
universes l
namespace Mathlib
/-
Linear integer arithmet... |
5b0d8682293fed68b9cd5ff64db3acacc8e4f21f | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/ring_theory/localization/away/adjoin_root.lean | 2d5ed60a9769cdf18cab83f55aea527415868f6a | [
"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 | 1,751 | 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, Anne Baanen
-/
import ring_theory.adjoin_root
import ring_theory.localization.away.basic
/-!
> THIS FILE IS SYNCHRONIZED WITH ... |
22186d36924d1405bdf613616d59dc8b5aaf4f63 | 675b8263050a5d74b89ceab381ac81ce70535688 | /src/topology/algebra/group.lean | 5fd3ffc03bd3d78f2dcfb6c6eb12e7fdbf75c722 | [
"Apache-2.0"
] | permissive | vozor/mathlib | 5921f55235ff60c05f4a48a90d616ea167068adf | f7e728ad8a6ebf90291df2a4d2f9255a6576b529 | refs/heads/master | 1,675,607,702,231 | 1,609,023,279,000 | 1,609,023,279,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 24,115 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro, Patrick Massot
-/
import order.filter.pointwise
import group_theory.quotient_group
import topology.algebra.monoid
import topology.homeomorph
/-!
# The... |
df137c8e2a480e69a5c5e35b63e5b787780a6b4a | 618003631150032a5676f229d13a079ac875ff77 | /src/category_theory/category/default.lean | 1356d79eb30ecf8fde3b7a5b49244a1aa3be9247 | [
"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 | 7,580 | lean | /-
Copyright (c) 2017 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Stephen Morgan, Scott Morrison, Johannes Hölzl, Reid Barton
-/
import tactic.basic
import tactic.tidy
/-!
# Categories
Defines a category, as a type class parametrised by the type of... |
7d3033832f9847ad9097c3b66c629695db8ec7f1 | 26ac254ecb57ffcb886ff709cf018390161a9225 | /src/data/polynomial/div.lean | fcda31c899e9591e74de8f91213930f0aa34a536 | [
"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 | 25,584 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Johannes Hölzl, Scott Morrison, Jens Wagemaker
-/
import data.polynomial.monic
import ring_theory.euclidean_domain
import ring_theory.multiplicity
/-!
# Division of univar... |
79485dd57e27fb10659cfb92e9d738ffc16846d3 | 9c1ad797ec8a5eddb37d34806c543602d9a6bf70 | /monoidal_categories/internal_objects/free_modules.lean | 8e44a4fac98ed9f4c583ae0c19c9f05551298a51 | [] | no_license | timjb/lean-category-theory | 816eefc3a0582c22c05f4ee1c57ed04e57c0982f | 12916cce261d08bb8740bc85e0175b75fb2a60f4 | refs/heads/master | 1,611,078,926,765 | 1,492,080,000,000 | 1,492,080,000,000 | 88,348,246 | 0 | 0 | null | 1,492,262,499,000 | 1,492,262,498,000 | null | UTF-8 | Lean | false | false | 3,166 | lean | -- Copyright (c) 2017 Scott Morrison. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Authors: Stephen Morgan, Scott Morrison
import .monoids
open tqft.categories
open tqft.categories.functor
open tqft.categories.monoidal_category
namespace tqft.categories.internal_objec... |
c96c7dd66ac389ca535b23cd389c6ae72296f9f2 | 72d99e722771bfc4f845b49212c0f743cf3f08df | /tests/lean/run/1954.lean | e9e000a5634ad125188cd52e3805c6bff80f512a | [
"Apache-2.0"
] | permissive | AtnNn/lean | c79fa061e300e0ebea0186d9f7db971e839e8955 | d97d77fd30601f06c751ca376c0cdddd59cf52f9 | refs/heads/master | 1,583,885,051,450 | 1,523,730,668,000 | 1,523,730,668,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 109 | lean | def all (p : ℕ → Prop) : Prop := ∀x, p x
example {p : ℕ → Prop} (h : all p) : p 0 := ‹all p› 0
|
7e0154bd428353f35d4383361c2ebbb9a2c55066 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/Lean/Compiler/IR/Basic.lean | a9a84268ada9bcc79738ed046d6e6cb95253ab92 | [
"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 | 26,461 | 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.Data.KVMap
import Lean.Data.Name
import Lean.Data.Format
import Lean.Compiler.ExternAttr
/-!
Implements (extended) λPure and λRc proposed in the... |
f9237d4b280bac6b8beb8830eb063abf2f648887 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /library/algebra/order.lean | 0ef206de403079d2e3959908937a898baf748c4e | [
"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 | 18,321 | lean | /-
Copyright (c) 2014 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Jeremy Avigad
Weak orders "≤", strict orders "<", and structures that include both.
-/
import logic.eq logic.connectives algebra.binary algebra.priority
open eq eq.ops function
variabl... |
ee5cb693f7c2103f65150b39d7d88963e45d8db0 | 02005f45e00c7ecf2c8ca5db60251bd1e9c860b5 | /src/ring_theory/jacobson.lean | 88735e0a7804e57dcba3a1a8246cbc4fe4652735 | [
"Apache-2.0"
] | permissive | anthony2698/mathlib | 03cd69fe5c280b0916f6df2d07c614c8e1efe890 | 407615e05814e98b24b2ff322b14e8e3eb5e5d67 | refs/heads/master | 1,678,792,774,873 | 1,614,371,563,000 | 1,614,371,563,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 33,097 | lean | /-
Copyright (c) 2020 Devon Tuma. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Devon Tuma
-/
import data.mv_polynomial
import ring_theory.ideal.over
import ring_theory.jacobson_ideal
import ring_theory.localization
/-!
# Jacobson Rings
The following conditions are e... |
3cc8e25ad34ced0df58a0bee892753ad6a7d63b9 | c777c32c8e484e195053731103c5e52af26a25d1 | /src/analysis/von_neumann_algebra/basic.lean | 84dc25e66e8befc7e0b1fb114d8d2dd5ab8ac0c4 | [
"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 | 5,306 | lean | /-
Copyright (c) 2022 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import analysis.normed_space.dual
import analysis.normed_space.star.basic
import analysis.complex.basic
import analysis.inner_product_space.adjoint
import algebra.sta... |
b6836d3e82b188792c5d3fbec9ade744a8225717 | e16d4df4c2baa34ab203178cea2c27905a3b63d3 | /src/day2.lean | 85429937ba090290bdd347b8701188dec1bc9fd9 | [] | no_license | jembishop/advent-of-code-2020 | ea29eecb7f1d676dc1fd34b1a66efdbd23248aec | 32fd5bc28e7c178277e85dc034b55fce6dd4afce | refs/heads/main | 1,675,354,147,711 | 1,608,705,139,000 | 1,608,705,139,000 | 317,705,877 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,694 | lean | import system.io
import tactic
import utils
open io
open nat
open list
open functor
open decidable
structure entry :=
(letter : char)
(min_num : ℕ)
(max_num : ℕ)
(password : string)
def entry_to_string : entry → string
| e := "letter: " ++ e.letter.to_string
++ " min: " ++ (to_string e.min... |
20d679ddcc31e67dbfe1e1fa5e82f5455e79647b | bbecf0f1968d1fba4124103e4f6b55251d08e9c4 | /src/algebra/geom_sum.lean | 44410c1ac6311b0f258065bef7f8bebd20aa0fce | [
"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 | 15,367 | 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 algebra.group_with_zero.power
import algebra.big_operators.order
import algebra.big_operators.ring
import algebra.big_operators.intervals
/-!
# Partial sum... |
69e5c9a57aba0fa1506129faa22d5135929d2481 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/analysis/calculus/formal_multilinear_series.lean | bcbd3eb37859041e884579bd0e892e76fe7bd93f | [
"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 | 11,361 | 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.multilinear
/-!
# Formal multilinear series
In this file we define `formal_multilinear_series 𝕜 E F` to be a family of `n`-multi... |
cded5f74a75b60bc809ec4eadbc9df675b03c08b | 02fbe05a45fda5abde7583464416db4366eedfbf | /library/init/data/string/ops.lean | 6f2b1b6f5e75cc3e864c7cbd14e8e54cbb0c3b1f | [
"Apache-2.0"
] | permissive | jasonrute/lean | cc12807e11f9ac6b01b8951a8bfb9c2eb35a0154 | 4be962c167ca442a0ec5e84472d7ff9f5302788f | refs/heads/master | 1,672,036,664,637 | 1,601,642,826,000 | 1,601,642,826,000 | 260,777,966 | 0 | 0 | Apache-2.0 | 1,588,454,819,000 | 1,588,454,818,000 | null | UTF-8 | Lean | false | false | 1,751 | lean | /-
Copyright (c) 2017 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sebastian Ullrich
-/
prelude
import init.data.bool.lemmas
import init.data.string.basic
import init.meta.well_founded_tactics
namespace string
namespace iterator
@[simp] lemm... |
60a22f983fd942e14f59599b353b6a7cd57b9fe1 | 32025d5c2d6e33ad3b6dd8a3c91e1e838066a7f7 | /stage0/src/Init/System/IO.lean | 743abda392190ce70840185bca1e6d8b171538d7 | [
"Apache-2.0"
] | permissive | walterhu1015/lean4 | b2c71b688975177402758924eaa513475ed6ce72 | 2214d81e84646a905d0b20b032c89caf89c737ad | refs/heads/master | 1,671,342,096,906 | 1,599,695,985,000 | 1,599,695,985,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 16,784 | lean | /-
Copyright (c) 2017 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Luke Nelson, Jared Roesch, Leonardo de Moura, Sebastian Ullrich
-/
prelude
import Init.Control.EState
import Init.Control.Reader
import Init.Data.String
import Init.Data.ByteArr... |
0d36ac79576a6f345491ac7e33c61758f66e123f | 206422fb9edabf63def0ed2aa3f489150fb09ccb | /src/order/filter/ennreal.lean | 744fc1fe6a4078da4b750e445f4db29420d38c5b | [
"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 | 3,898 | lean | /-
Copyright (c) 2021 Rémy Degenne. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Rémy Degenne
-/
import data.real.ennreal
import order.filter.countable_Inter
import order.liminf_limsup
/-!
# Order properties of extended non-negative reals
This file compiles filter... |
a3c664436355ae558afe192bd06994967ce86a07 | 00de0c30dd1b090ed139f65c82ea6deb48c3f4c2 | /src/order/basic.lean | fb58dae95efea1f8fa8cd7d62122cd928e1941b7 | [
"Apache-2.0"
] | permissive | paulvanwamelen/mathlib | 4b9c5c19eec71b475f3dd515cd8785f1c8515f26 | 79e296bdc9f83b9447dc1b81730d36f63a99f72d | refs/heads/master | 1,667,766,172,625 | 1,590,239,595,000 | 1,590,239,595,000 | 266,392,625 | 0 | 0 | Apache-2.0 | 1,590,257,277,000 | 1,590,257,277,000 | null | UTF-8 | Lean | false | false | 34,035 | lean | /-
Copyright (c) 2014 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Mario Carneiro
-/
import data.set.basic
open function
/-!
# Basic definitions about `≤` and `<`
## Definitions
### Predicates on functions
- `monotone f`: a function ... |
7eb422aaadfac18be92a983406d2c8744db89885 | 57aec6ee746bc7e3a3dd5e767e53bd95beb82f6d | /tests/lean/run/inj1.lean | 91ebec82a93dc9560e56ee558d64f5f127fff5a0 | [
"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 | 918 | lean |
theorem test1 {α} (a b : α) (as bs : List α) (h : a::as = b::bs) : a = b :=
by {
injection h;
assumption;
}
theorem test2 {α} (a b : α) (as bs : List α) (h : a::as = b::bs) : a = b :=
by {
injection h with h1 h2;
exact h1
}
theorem test3 {α} (a b : α) (as bs : List α) (h : (x : List α) → (y : List α) → x = ... |
7a958c3bc36bdf67ca78c64754ea5b8899f2d25d | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/category_theory/category/pairwise.lean | c8e946677df267db646c3ca290a8081fda3a17e3 | [
"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 | 4,404 | 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 order.complete_lattice
import category_theory.category.preorder
import category_theory.limits.is_limit
/-!
# The category of "pairwise intersections".
> THIS... |
9b394ce0de842bb3db9bec52a0a4fe26024ce9af | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/data/rat/floor.lean | b5096eae42c9263ee4a570bedce6aeb7fc225ce2 | [
"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 | 6,694 | 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, Kevin Kappelmann
-/
import algebra.order.floor
import algebra.euclidean_domain.instances
import tactic.field_simp
/-!
# Floor Function for Rational Num... |
daab32fc65cb694b531b5fa923d1c3f0494f7a15 | 94e33a31faa76775069b071adea97e86e218a8ee | /src/set_theory/cardinal/ordinal.lean | edbc5497917ccf311f9f5ddb187de8c47af38c25 | [
"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 | 42,486 | 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, Floris van Doorn
-/
import order.bounded
import set_theory.ordinal.principal
import tactic.linarith
/-!
# Cardinals and ordinals
Relationships betwee... |
92472d4aa129d934535f716eb6c115f311b4e931 | 3f7026ea8bef0825ca0339a275c03b911baef64d | /src/order/basic.lean | c11779aa807be966437265417073785e62fb05ef | [
"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 | 25,945 | lean | /-
Copyright (c) 2014 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Mario Carneiro
-/
import logic.basic data.sum data.set.basic algebra.order
open function
/- TODO: automatic construction of dual definitions / theorems -/
universes u v... |
3b1cb6cfecf5d4880f730d0ef6af7e3c3f1d4f23 | e00ea76a720126cf9f6d732ad6216b5b824d20a7 | /src/order/order_iso.lean | c5b93cb816af135dffeda1a3dfeb0ba9612b4d7a | [
"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 | 13,845 | 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 order.basic logic.embedding data.nat.basic
open function
universes u v w
variables {α : Type*} {β : Type*} {γ : Type*}
{r : α → α → Prop} {s : β → β → Prop... |
f9fcaeb99c3bc368f5349aa7ef3263f70d0ce71f | 3ed5a65c1ab3ce5d1a094edce8fa3287980f197b | /src/herstein/ex2_5/Q_04.lean | c9a2d769b3ebf4284cf233a8649d8bc85baee66a | [] | no_license | group-study-group/herstein | 35d32e77158efa2cc303c84e1ee5e3bc80831137 | f5a1a72eb56fa19c19ece0cb3ab6cf7ffd161f66 | refs/heads/master | 1,586,202,191,519 | 1,548,969,759,000 | 1,548,969,759,000 | 157,746,953 | 0 | 0 | null | 1,542,412,901,000 | 1,542,302,366,000 | Lean | UTF-8 | Lean | false | false | 1,527 | lean | import algebra.group
import group_theory.subgroup
variables {G: Type*} {H: set G} {a: G}
theorem Q_04a [hG: group G] [hH: is_subgroup H]:
is_subgroup ((λ h, a * h * a⁻¹) '' H) := {
inv_mem := λ g ⟨h, ⟨hH, ha⟩⟩, begin
-- inverse of aha⁻¹ is ah⁻¹a⁻¹ ...
have inv_g: g⁻¹ = a * h⁻¹ * a⁻¹,
from ha ▸ calc ... |
5bc16c4dba128f1ce0a323d8d0736ed05dd7079a | 7c2dd01406c42053207061adb11703dc7ce0b5e5 | /src/solutions/06_sub_sequences.lean | cb7e921172f3aaeb186463742816b2181f778ae1 | [
"Apache-2.0"
] | permissive | leanprover-community/tutorials | 50ec79564cbf2ad1afd1ac43d8ee3c592c2883a8 | 79a6872a755c4ae0c2aca57e1adfdac38b1d8bb1 | refs/heads/master | 1,687,466,144,386 | 1,672,061,276,000 | 1,672,061,276,000 | 189,169,918 | 186 | 81 | Apache-2.0 | 1,686,350,300,000 | 1,559,113,678,000 | Lean | UTF-8 | Lean | false | false | 4,803 | lean | import tuto_lib
/-
This file continues the elementary study of limits of sequences.
It can be skipped if the previous file was too easy, it won't introduce
any new tactic or trick.
Remember useful lemmas:
abs_le {x y : ℝ} : |x| ≤ y ↔ -y ≤ x ∧ x ≤ y
abs_add (x y : ℝ) : |x + y| ≤ |x| + |y|
abs_sub_comm (x y : ℝ) : |... |
c743834edcabe9d2e5902879df04564d2d36bec5 | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/data/multiset/basic.lean | b82baf002f6e9b6a41f4e2281b378388244fad48 | [
"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 | 87,331 | lean | /-
Copyright (c) 2015 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Mario Carneiro
-/
import data.list.perm
import algebra.group_power
/-!
# Multisets
These are implemented as the quotient of a list by permutations.
## Notation
We define the ... |
6276547f5ceffeb89e57eefbc573e4cb59d296f6 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/category_theory/limits/creates.lean | d76fccd7697586e77c10dee949b9c5127e516eac | [
"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 | 28,477 | lean | /-
Copyright (c) 2020 Bhavik Mehta. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Bhavik Mehta
-/
import category_theory.limits.preserves.basic
/-!
# Creating (co)limits
We say that `F` creates limits of `K` if, given any limit cone `c` for `K ⋙ F`
(i.e. below) we c... |
e085a7eb872504895c940e5575f3b10e1a96c265 | 0c1546a496eccfb56620165cad015f88d56190c5 | /tests/lean/run/fun_info1.lean | f670a1927dbd275298ef3cf7d6d2f11976568b74 | [
"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 | 568 | lean | open tactic
set_option pp.binder_types true
noncomputable definition foo (A : Type) : A → A :=
sorry
example (a : nat) (H : foo unit () = ()) : true :=
by do
(lhs, rhs) ← get_local `H >>= infer_type >>= match_eq ,
get_spec_subsingleton_info lhs >>= trace,
trace "-----------",
trace "ite information:",
c ← m... |
47e7a4011119dccedbed5106193c6556302dbaec | 19cc34575500ee2e3d4586c15544632aa07a8e66 | /src/data/multiset/basic.lean | 47f415e0799367d7c2b3c85d7502e8e6cb301876 | [
"Apache-2.0"
] | permissive | LibertasSpZ/mathlib | b9fcd46625eb940611adb5e719a4b554138dade6 | 33f7870a49d7cc06d2f3036e22543e6ec5046e68 | refs/heads/master | 1,672,066,539,347 | 1,602,429,158,000 | 1,602,429,158,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 86,311 | lean | /-
Copyright (c) 2015 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Mario Carneiro
-/
import data.list.perm
import algebra.group_power
/-!
# Multisets
These are implemented as the quotient of a list by permutations.
-/
open list subtype nat
v... |
859cc8a296ebe452c7f9f76cdaf4a09ac3492585 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /test/nontriviality.lean | 949df5b1696183a591ab9d8589fe8151b1ab476e | [
"Apache-2.0"
] | permissive | jjgarzella/mathlib | 96a345378c4e0bf26cf604aed84f90329e4896a2 | 395d8716c3ad03747059d482090e2bb97db612c8 | refs/heads/master | 1,686,480,124,379 | 1,625,163,323,000 | 1,625,163,323,000 | 281,190,421 | 2 | 0 | Apache-2.0 | 1,595,268,170,000 | 1,595,268,169,000 | null | UTF-8 | Lean | false | false | 2,516 | lean | import logic.nontrivial
import algebra.ordered_ring
import data.nat.basic
/-! ### Test `nontriviality` with inequality hypotheses -/
example {R : Type} [ordered_ring R] {a : R} (h : 0 < a) : 0 < a :=
begin
nontriviality,
guard_hyp _inst : nontrivial R,
assumption,
end
/-! ### Test `nontriviality` with equality... |
fb7306333d00eaf4d5c7b0fcf4dea3e097ab799a | a0e23cfdd129a671bf3154ee1a8a3a72bf4c7940 | /tests/lean/hidingInaccessibleNames.lean | ee590f1edc9216647204d92d84fbe1cdab8f8a4d | [
"Apache-2.0"
] | permissive | WojciechKarpiel/lean4 | 7f89706b8e3c1f942b83a2c91a3a00b05da0e65b | f6e1314fa08293dea66a329e05b6c196a0189163 | refs/heads/master | 1,686,633,402,214 | 1,625,821,189,000 | 1,625,821,258,000 | 384,640,886 | 0 | 0 | Apache-2.0 | 1,625,903,617,000 | 1,625,903,026,000 | null | UTF-8 | Lean | false | false | 619 | lean | def f : (xs : List Nat) → Nat → xs ≠ [] → Nat
| [], _, _ => _
| [a,b], _, _ => _
| _, _, _ => _
set_option pp.inaccessibleNames true in
def f' : (xs : List Nat) → Nat → xs ≠ [] → Nat
| [], _, _ => _
| [a,b], _, _ => _
| _, _, _ => _
theorem ex1 : p ∨ q → q ∨ p := by
intro h
cases h
traceState
app... |
d2d3b2994445557493e3951c6607c48e8dc197fb | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/ring_theory/polynomial/cyclotomic.lean | 805a77db1880f033783b04fedacf5372d4518714 | [
"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 | 30,701 | 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.... |
1c16b014afa1a877574442ee937b172170f8e9eb | ae1e94c332e17c7dc7051ce976d5a9eebe7ab8a5 | /stage0/src/Init/Prelude.lean | 76354368af66d6d676bac76a54f34d45b3fe50c1 | [
"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 | 70,063 | 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
universes u v w
@[inline] def id {α : Sort u} (a : α) : α := a
/-
The kernel definitional equality test (t =?= s) has special support for idDelta... |
39974873544ca4f206c3822b0c8e99bd9520eeb4 | 624f6f2ae8b3b1adc5f8f67a365c51d5126be45a | /stage0/src/Init/LeanInit.lean | 56593e32501fc67123f4e4d0a97c1d8ee756d353 | [
"Apache-2.0"
] | permissive | mhuisi/lean4 | 28d35a4febc2e251c7f05492e13f3b05d6f9b7af | dda44bc47f3e5d024508060dac2bcb59fd12e4c0 | refs/heads/master | 1,621,225,489,283 | 1,585,142,689,000 | 1,585,142,689,000 | 250,590,438 | 0 | 2 | Apache-2.0 | 1,602,443,220,000 | 1,585,327,814,000 | C | UTF-8 | Lean | false | false | 28,472 | 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 and Sebastian Ullrich
-/
prelude
import Init.Data.String.Basic
import Init.Data.Array.Basic
import Init.Data.UInt
import Init.Data.Hashable
import Init.Control... |
c9aefaea5354ed063bda183f35359f6f474e4d90 | 3f7026ea8bef0825ca0339a275c03b911baef64d | /src/category_theory/discrete_category.lean | 6bf8178f99fdf7b829065f397e6aa364d97e41c5 | [
"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 | 2,932 | lean | /-
Copyright (c) 2017 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Stephen Morgan, Scott Morrison, Floris van Doorn
-/
import data.ulift
import data.fintype
import category_theory.opposites category_theory.equivalence
namespace category_theory
unive... |
473695e843bed5c74ec7ad293c055a085537648e | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/deprecated/submonoid.lean | d8887860703e054416dd919f7643e5910e7aa0b4 | [
"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 | 16,232 | lean | /-
Copyright (c) 2018 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Kenny Lau, Johan Commelin, Mario Carneiro, Kevin Buzzard
-/
import group_theory.submonoid.basic
import algebra.big_operators.basic
import deprecated.group
/-!
# Unbund... |
e4f96020beb62a98e71468a83e015506ac7d5669 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/linear_algebra/smodeq.lean | 69617c9324411f3a7bc28ba888805dbea01aba5a | [
"Apache-2.0"
] | permissive | robertylewis/mathlib | 3d16e3e6daf5ddde182473e03a1b601d2810952c | 1d13f5b932f5e40a8308e3840f96fc882fae01f0 | refs/heads/master | 1,651,379,945,369 | 1,644,276,960,000 | 1,644,276,960,000 | 98,875,504 | 0 | 0 | Apache-2.0 | 1,644,253,514,000 | 1,501,495,700,000 | Lean | UTF-8 | Lean | false | false | 2,924 | lean | /-
Copyright (c) 2020 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau
-/
import data.polynomial.eval
import ring_theory.ideal.quotient
/-!
# modular equivalence for submodule
-/
open submodule
variables {R : Type*} [ring R]
variables {M : Type*}... |
97f298fc2519d74181bf2e24b8fc8b8ba61d0408 | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/algebra/char_zero.lean | 3d4ceb9f2393b4d0826a7d184a1e4446e432382e | [
"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 | 3,386 | lean | /-
Copyright (c) 2014 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
Natural homomorphism from the natural numbers into a monoid with one.
-/
import data.nat.cast
import data.fintype.basic
import tactic.wlog
/-- Typeclass for monoids wi... |
0722195abf4e4a019b8c278eba981e27a8fbed7e | 02005f45e00c7ecf2c8ca5db60251bd1e9c860b5 | /src/measure_theory/probability_mass_function.lean | 7a9d1c09e62ae7bfc3066e0623eb8159641e81b1 | [
"Apache-2.0"
] | permissive | anthony2698/mathlib | 03cd69fe5c280b0916f6df2d07c614c8e1efe890 | 407615e05814e98b24b2ff322b14e8e3eb5e5d67 | refs/heads/master | 1,678,792,774,873 | 1,614,371,563,000 | 1,614,371,563,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 8,095 | 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.ennreal
/-!
# Probability mass functions
This file is about probability mass functions or discrete probability measures:
a function `α → ℝ≥... |
e117a453d4e66e5ef030ff33730e5b80edea3918 | a7eef317ddec01b9fc6cfbb876fe7ac00f205ac7 | /src/data/complex/basic.lean | e470fa8627481df2e86482fb7ad794531f5b832b | [
"Apache-2.0"
] | permissive | kmill/mathlib | ea5a007b67ae4e9e18dd50d31d8aa60f650425ee | 1a419a9fea7b959317eddd556e1bb9639f4dcc05 | refs/heads/master | 1,668,578,197,719 | 1,593,629,163,000 | 1,593,629,163,000 | 276,482,939 | 0 | 0 | null | 1,593,637,960,000 | 1,593,637,959,000 | null | UTF-8 | Lean | false | false | 19,822 | lean | /-
Copyright (c) 2017 Kevin Buzzard. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kevin Buzzard, Mario Carneiro
-/
import data.real.basic
/-!
# The complex numbers
The complex numbers are modelled as ℝ^2 in the obvious way.
-/
/-! ### Definition and basic arithmme... |
2ad6d0b5fc3b7b5193a892566756a853eb2ad571 | f2fbd9ce3f46053c664b74a5294d7d2f584e72d3 | /src/for_mathlib/misc.lean | c48f3d33eb3be01c3258a1385311c335c0c95edf | [
"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 | 632 | lean | /-
Lemmas in this file are currently not used in the perfectoid spaces project, but they
were once thought to be useful, and could be PR'ed into mathlib anyway.
-/
import analysis.topology.topological_space
import for_mathlib.completion
section uniform_space
open uniform_space
variables {α : Type*} [uniform_space ... |
fe4de91c2f90a678208fc73e405444a294179677 | dc253be9829b840f15d96d986e0c13520b085033 | /algebra/short_five.hlean | bc371f6a53be693d8dc428ef24277bce86e2f392 | [
"Apache-2.0"
] | permissive | cmu-phil/Spectral | 4ce68e5c1ef2a812ffda5260e9f09f41b85ae0ea | 3b078f5f1de251637decf04bd3fc8aa01930a6b3 | refs/heads/master | 1,685,119,195,535 | 1,684,169,772,000 | 1,684,169,772,000 | 46,450,197 | 42 | 13 | null | 1,505,516,767,000 | 1,447,883,921,000 | Lean | UTF-8 | Lean | false | false | 5,339 | hlean | /-
Author: Jeremy Avigad
-/
import .module_chain_complex
open eq pointed sigma fiber equiv is_equiv sigma.ops is_trunc nat trunc
open algebra function succ_str
open left_module
section short_five
variable {R : Ring}
variables {A₀ B₀ C₀ A₁ B₁ C₁ : LeftModule R}
variables {f₀ : A₀ →lm B₀} {g₀ : B₀ →lm C₀}
varia... |
bf7ad9a61e994c2064bdfe8f7215f4be0325b86a | 0d4c30038160d9c35586ce4dace36fe26a35023b | /src/analysis/complex/exponential.lean | 3f97f0589f9434f3cff70f852d8c18fd31e77ea2 | [
"Apache-2.0"
] | permissive | b-mehta/mathlib | b0c8ec929ec638447e4262f7071570d23db52e14 | ce72cde867feabe5bb908cf9e895acc0e11bf1eb | refs/heads/master | 1,599,457,264,781 | 1,586,969,260,000 | 1,586,969,260,000 | 220,672,634 | 0 | 0 | Apache-2.0 | 1,583,944,480,000 | 1,573,317,991,000 | Lean | UTF-8 | Lean | false | false | 88,515 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Abhimanyu Pallavi Sudhir, Jean Lo, Calle Sönne
-/
import tactic.linarith data.complex.exponential analysis.specific_limits
group_theory.quotient_group analysis.comple... |
b66aa70c4f34ecfaf69aaf9d4bc5d97675efd2dd | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/Lean/Server/Rpc/Basic.lean | 482c266e8b1fcf668d69b4b38429be541fb59dd3 | [
"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 | 4,746 | lean | /-
Copyright (c) 2021 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Wojciech Nawrocki
-/
import Lean.Data.Json
/-! Allows LSP clients to make Remote Procedure Calls to the server.
The single use case for these is to allow the infoview UI to r... |
2a5b401abb380da113d2f60536a09aa8ef371353 | 80746c6dba6a866de5431094bf9f8f841b043d77 | /src/algebra/module.lean | 3cb9995e4ba16ba7a122df099e5eaa33409bb084 | [
"Apache-2.0"
] | permissive | leanprover-fork/mathlib-backup | 8b5c95c535b148fca858f7e8db75a76252e32987 | 0eb9db6a1a8a605f0cf9e33873d0450f9f0ae9b0 | refs/heads/master | 1,585,156,056,139 | 1,548,864,430,000 | 1,548,864,438,000 | 143,964,213 | 0 | 0 | Apache-2.0 | 1,550,795,966,000 | 1,533,705,322,000 | Lean | UTF-8 | Lean | false | false | 12,153 | lean | /-
Copyright (c) 2015 Nathaniel Thomas. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Nathaniel Thomas, Jeremy Avigad, Johannes Hölzl, Mario Carneiro
Modules over a ring.
-/
import algebra.ring algebra.big_operators
open function
universes u v w x
variables {α : Ty... |
54ff19ea8a8814a78f2ecb6bba4ac82ec5d744c8 | 80cc5bf14c8ea85ff340d1d747a127dcadeb966f | /src/order/filter/basic.lean | 2a226c16b14e8ba5c3ad5f75179c01cb7d795171 | [
"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 | 101,271 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Jeremy Avigad
-/
import order.zorn
import order.copy
import data.set.finite
import tactic.monotonicity
/-!
# Theory of filters on sets
## Main definitions
* `filter`... |
1d88ea4d38b212529aa019b25f3c35f7d7929b1a | dd0f5513e11c52db157d2fcc8456d9401a6cd9da | /06_Inductive_Types.org.39.lean | 1cc753e6265a0cf5ad812b36925fabd58a4b530a | [] | 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 | 184 | lean | /- page 90 -/
import standard
inductive tree (A : Type) : Type :=
| node : A → forest A → tree A
with forest : Type :=
| nil : forest A
| cons : tree A → forest A → forest A
|
a70ce9fb7b39fa99f1d742e58763e5fb0dd718f0 | 82e44445c70db0f03e30d7be725775f122d72f3e | /src/group_theory/specific_groups/dihedral.lean | 5652d4a7f161550e766a63ec5b653c289f0fc995 | [
"Apache-2.0"
] | permissive | stjordanis/mathlib | 51e286d19140e3788ef2c470bc7b953e4991f0c9 | 2568d41bca08f5d6bf39d915434c8447e21f42ee | refs/heads/master | 1,631,748,053,501 | 1,627,938,886,000 | 1,627,938,886,000 | 228,728,358 | 0 | 0 | Apache-2.0 | 1,576,630,588,000 | 1,576,630,587,000 | null | UTF-8 | Lean | false | false | 5,553 | lean | /-
Copyright (c) 2020 Shing Tak Lam. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Shing Tak Lam
-/
import data.fintype.card
import data.zmod.basic
import group_theory.order_of_element
/-!
# Dihedral Groups
We define the dihedral groups `dihedral_group n`, with elem... |
0daf7539117c685dde69150e0ed214dbffef9ebf | 0dbd5f7001f62ee8d54ed48bada66bfeaf55e550 | /src/ent/gcd.lean | 6f34eb44b4d5e4254943e51b0001ab345d16522b | [] | no_license | rwbarton/lean-elementary-number-theory | 667203b08501792eef48217759539f6c1e2da25a | fabef0737fd2486e3f24f9e04652db4c182d5425 | refs/heads/master | 1,670,605,651,029 | 1,599,565,470,000 | 1,599,565,470,000 | 293,792,043 | 2 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 5,910 | lean | import data.nat.modeq
import ent.modeq
import ent.parity
open nat
namespace gcd
theorem gcd_row_op (a b k : ℕ) : gcd a b = gcd a (a * k + b) :=
have mods : b ≡ a * k + b [MOD a] := modeq.modeq_of_rep.symm,
calc gcd a b = gcd (b % a) a : by rw gcd_rec
... = gcd ((a * k + b) % a) a :... |
4d115e223963c7e2c22a659c38f543eafeedece5 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/analysis/complex/isometry.lean | 88de13fee8aa5353e54a430caef0294d41a914fe | [
"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 | 6,721 | lean | /-
Copyright (c) 2021 François Sunatori. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: François Sunatori
-/
import analysis.complex.circle
import linear_algebra.determinant
import linear_algebra.general_linear_group
/-!
# Isometries of the Complex Plane
The lemma `l... |
eae30c4d9b28dc1b8a3a6df0ffca9120ded81e4c | ec5a7ae10c533e1b1f4b0bc7713e91ecf829a3eb | /ijcar16/examples/cc11.lean | 2da291986c455716c4171e3ce5caf81d4679859b | [
"MIT"
] | permissive | leanprover/leanprover.github.io | cf248934af7c7e9aeff17cf8df3c12c5e7e73f1a | 071a20d2e059a2c3733e004c681d3949cac3c07a | refs/heads/master | 1,692,621,047,417 | 1,691,396,994,000 | 1,691,396,994,000 | 19,366,263 | 18 | 27 | MIT | 1,693,989,071,000 | 1,399,006,345,000 | Lean | UTF-8 | Lean | false | false | 1,162 | lean | /-
Example/test file for the congruence closure procedure described in the paper:
"Congruence Closure for Intensional Type Theory"
Daniel Selsam and Leonardo de Moura
The tactic `by blast` has been configured in this file to use just
the congruence closure procedure using the command
set_option blast.strategy... |
b4f9d492777f9be640b7f9047b2569f9b689b770 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/data/list/forall2.lean | 4eea34cfad2d6babdb710e7731a83cfbbcc319b7 | [
"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 | 14,099 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Johannes Hölzl
-/
import data.list.infix
/-!
# Double universal quantification on a list
This file provides an API for `list.forall₂` (definition in `data.list.defs`)... |
f9e49091cf6ccca1a3960e95075671de55125a50 | 88fb7558b0636ec6b181f2a548ac11ad3919f8a5 | /tests/lean/run/fingerprint.lean | b7ace0832b16d107e30766979731512cc8e8999c | [
"Apache-2.0"
] | permissive | moritayasuaki/lean | 9f666c323cb6fa1f31ac597d777914aed41e3b7a | ae96ebf6ee953088c235ff7ae0e8c95066ba8001 | refs/heads/master | 1,611,135,440,814 | 1,493,852,869,000 | 1,493,852,869,000 | 90,269,903 | 0 | 0 | null | 1,493,906,291,000 | 1,493,906,291,000 | null | UTF-8 | Lean | false | false | 759 | lean | open tactic
meta def nat.to_expr (n : nat) : tactic expr := to_expr (quote n)
run_cmd attribute.fingerprint `reducible >>= trace
definition ex0 : nat :=
by attribute.fingerprint `reducible >>= nat.to_expr >>= exact
attribute [reducible]
definition f : nat := 10
run_cmd attribute.fingerprint `reducible >>= trace
def... |
b0f2bc9945b4e27d288577030eb485d6031f492a | b2fe74b11b57d362c13326bc5651244f111fa6f4 | /src/category_theory/yoneda.lean | 369c2270d358b16076ec520860da5e02aa7db62e | [
"Apache-2.0"
] | permissive | midfield/mathlib | c4db5fa898b5ac8f2f80ae0d00c95eb6f745f4c7 | 775edc615ecec631d65b6180dbcc7bc26c3abc26 | refs/heads/master | 1,675,330,551,921 | 1,608,304,514,000 | 1,608,304,514,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 9,584 | 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 category_theory.hom_functor
/-!
# The Yoneda embedding
The Yoneda embedding as a functor `yoneda : C ⥤ (Cᵒᵖ ⥤ Type v₁)`,
along with an instance that it is `f... |
70a16e0a1b5a2e38fa8d7851d22dd500b22cabf8 | 618003631150032a5676f229d13a079ac875ff77 | /src/topology/bounded_continuous_function.lean | fe1eae39ba7db50357b3231eef6ab6a6f3eaac40 | [
"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 | 28,996 | lean | /-
Copyright (c) 2018 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel, Mario Carneiro, Yury Kudryashov, Heather Macbeth
-/
import analysis.normed_space.basic
/-!
# Bounded continuous functions
The type of bounded continuous functio... |
24b7f2b0a5b00f18e78565d7a06bb2e562b69c70 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/analysis/convex/specific_functions_auto.lean | 360ab0f35f8fabc0c71200483cd17a55673dae64 | [] | 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 | 2,398 | lean | /-
Copyright (c) 2020 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov, Sébastien Gouëzel
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.analysis.calculus.mean_value
import Mathlib.data.nat.parity
import Mat... |
192a8883bcdd4e9f0fb73385e6761f280651ed42 | 82e44445c70db0f03e30d7be725775f122d72f3e | /src/data/polynomial/eval.lean | 66ed647c6893be1c086766fb49b8518d35f51e25 | [
"Apache-2.0"
] | permissive | stjordanis/mathlib | 51e286d19140e3788ef2c470bc7b953e4991f0c9 | 2568d41bca08f5d6bf39d915434c8447e21f42ee | refs/heads/master | 1,631,748,053,501 | 1,627,938,886,000 | 1,627,938,886,000 | 228,728,358 | 0 | 0 | Apache-2.0 | 1,576,630,588,000 | 1,576,630,587,000 | null | UTF-8 | Lean | false | false | 26,440 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Johannes Hölzl, Scott Morrison, Jens Wagemaker
-/
import data.polynomial.induction
import data.polynomial.degree.definitions
/-!
# Theory of univariate polynomials
The ma... |
eb7bb9cd0ef2b368bca678441751f04629b103bb | 947fa6c38e48771ae886239b4edce6db6e18d0fb | /src/measure_theory/function/conditional_expectation/real.lean | 6360daf577c2358de9a5f0e5b71b80e9f14d0293 | [
"Apache-2.0"
] | permissive | ramonfmir/mathlib | c5dc8b33155473fab97c38bd3aa6723dc289beaa | 14c52e990c17f5a00c0cc9e09847af16fabbed25 | refs/heads/master | 1,661,979,343,526 | 1,660,830,384,000 | 1,660,830,384,000 | 182,072,989 | 0 | 0 | null | 1,555,585,876,000 | 1,555,585,876,000 | null | UTF-8 | Lean | false | false | 15,207 | lean | /-
Copyright (c) 2022 Rémy Degenne. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Rémy Degenne, Kexing Ying
-/
import measure_theory.function.conditional_expectation.indicator
/-!
# Conditional expectation of real-valued functions
This file proves some results reg... |
718438fff3c50dc7c39fc13972e4e667da4d66f6 | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /src/Init/Data/Nat.lean | bb3eb12dc109ba0692fbcdb13413edf225d7b386 | [
"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 | 386 | 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.Nat.Basic
import Init.Data.Nat.Div
import Init.Data.Nat.Gcd
import Init.Data.Nat.Bitwise
import Init.Data.Nat.Control
import Init.D... |
054d31de5e82bd58f8cb9b2a8399b2bc58350221 | c0ddb2cf190d518bc0f2f0ee221dd22b1172888f | /mguaypaq/count.lean | a5cb9bd24e9be6f7e963b019b1fea2711a8b9f44 | [] | no_license | mguaypaq/haskell-math | 3b314552878517806b3151aa36aae422f383fad1 | 1ce7f3067eb8966fe7e7e4bffdf073b1f815fc04 | refs/heads/master | 1,607,775,289,122 | 1,582,435,358,000 | 1,582,435,358,000 | 234,125,578 | 0 | 0 | null | 1,579,106,398,000 | 1,579,106,397,000 | null | UTF-8 | Lean | false | false | 21,798 | lean | ----------------------------------------------------------------
-- 1. Statement
----------------------------------------------------------------
-- Every nonempty list of distinct strictly positive integers
-- has a member at least as large as the length of the list.
-------------------------------------------------... |
ffa0888957809805103110a3b4f725edfe1cec30 | e6b8240a90527fd55d42d0ec6649253d5d0bd414 | /src/order/filter/lift.lean | 6ce8e7e2e85bf4cc7a3cc3ffb412ab9705a7570b | [
"Apache-2.0"
] | permissive | mattearnshaw/mathlib | ac90f9fb8168aa642223bea3ffd0286b0cfde44f | d8dc1445cf8a8c74f8df60b9f7a1f5cf10946666 | refs/heads/master | 1,606,308,351,137 | 1,576,594,130,000 | 1,576,594,130,000 | 228,666,195 | 0 | 0 | Apache-2.0 | 1,576,603,094,000 | 1,576,603,093,000 | null | UTF-8 | Lean | false | false | 18,021 | lean | /-
Copyright (c) 2019 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
Lift filters along filter and set functions.
-/
import order.filter.basic
open lattice set
open_locale classical
namespace filter
variables {α : Type*} {β : Type*} {... |
010bf65cc6f232e5364830848d972b787697b3b6 | 4efff1f47634ff19e2f786deadd394270a59ecd2 | /src/category_theory/monoidal/internal/Module.lean | 5ad24ea1bd31900fc619cbf0f7830955819ea0ea | [
"Apache-2.0"
] | permissive | agjftucker/mathlib | d634cd0d5256b6325e3c55bb7fb2403548371707 | 87fe50de17b00af533f72a102d0adefe4a2285e8 | refs/heads/master | 1,625,378,131,941 | 1,599,166,526,000 | 1,599,166,526,000 | 160,748,509 | 0 | 0 | Apache-2.0 | 1,544,141,789,000 | 1,544,141,789,000 | null | UTF-8 | Lean | false | false | 5,062 | 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.category.Module.monoidal
import algebra.category.Algebra.basic
import category_theory.monoidal.internal
/-!
# `Mon_ (Module R) ≌ Algebra R`
The cate... |
d70a9bef57aa2eb11c7ba646ea265d28e0ef3e23 | d1a52c3f208fa42c41df8278c3d280f075eb020c | /src/Lean/Meta/KAbstract.lean | 5a2a07ec963dea159a6dd1f9ca3a1a8a66613c46 | [
"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 | 1,749 | lean | /-
Copyright (c) 2020 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura
-/
import Lean.Data.Occurrences
import Lean.HeadIndex
import Lean.Meta.Basic
namespace Lean.Meta
def kabstract (e : Expr) (p : Expr) (occs : Occurrences := Oc... |
ace73588e11dff614adfefd143285c07415ec3b4 | 82e44445c70db0f03e30d7be725775f122d72f3e | /src/data/int/gcd.lean | dd3d280fb4565b416b248290b726219a4355c4b9 | [
"Apache-2.0"
] | permissive | stjordanis/mathlib | 51e286d19140e3788ef2c470bc7b953e4991f0c9 | 2568d41bca08f5d6bf39d915434c8447e21f42ee | refs/heads/master | 1,631,748,053,501 | 1,627,938,886,000 | 1,627,938,886,000 | 228,728,358 | 0 | 0 | Apache-2.0 | 1,576,630,588,000 | 1,576,630,587,000 | null | UTF-8 | Lean | false | false | 24,426 | lean | /-
Copyright (c) 2018 Guy Leroy. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sangwoo Jo (aka Jason), Guy Leroy, Johannes Hölzl, Mario Carneiro
-/
import data.nat.prime
/-!
# Extended GCD and divisibility over ℤ
## Main definitions
* Given `x y : ℕ`, `xgcd x y` com... |
ac32cf0cfc1c28f749471a8694bff4be0db60932 | 626e312b5c1cb2d88fca108f5933076012633192 | /src/ring_theory/principal_ideal_domain.lean | 8ceac8b4786147adc47904047ac8a1ed9ad9be8e | [
"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 | 10,147 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Morenikeji Neri
-/
import ring_theory.unique_factorization_domain
/-!
# Principal ideal rings and principal ideal domains
A principal ideal ring (PIR) is a ring in which ... |
bfed402ca770083d5429194c30300e517af83665 | 159fed64bfae88f3b6a6166836d6278f953bcbf9 | /Structure/AbstractPiSigma.lean | e6704d7d03e072b44867d2181c8e9b7a4df346d6 | [
"MIT"
] | permissive | SReichelt/lean4-experiments | 3e56830c8b2fbe3814eda071c48e3c8810d254a8 | ff55357a01a34a91bf670d712637480089085ee4 | refs/heads/main | 1,683,977,454,907 | 1,622,991,121,000 | 1,622,991,121,000 | 340,765,677 | 2 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 31,052 | lean | -- An abstract formalization of "isomorphism is equality up to relabeling"
-- -------------------------------------------------------------------------
--
-- See `README.md` for more info.
--
-- As a prerequisite for `AbstractBuildingBlocks.lean`, here we define generalized versions of Π and Σ
-- expressions, where al... |
e5e16b83ac87c0c9a5149aec3e9b259080749214 | 4a092885406df4e441e9bb9065d9405dacb94cd8 | /src/for_mathlib/filter.lean | d4f77a9e0ba4bdd9dee5459d944af8e4575e7a75 | [
"Apache-2.0"
] | permissive | semorrison/lean-perfectoid-spaces | 78c1572cedbfae9c3e460d8aaf91de38616904d8 | bb4311dff45791170bcb1b6a983e2591bee88a19 | refs/heads/master | 1,588,841,765,494 | 1,554,805,620,000 | 1,554,805,620,000 | 180,353,546 | 0 | 1 | null | 1,554,809,880,000 | 1,554,809,880,000 | null | UTF-8 | Lean | false | false | 1,158 | lean | import order.filter.basic
open filter set
variables {α : Type*} {β : Type*} {γ : Type*} {δ : Type*}
/-
f
α → β
g ↓ ↓ h
γ → δ
i
-/
variables {f : α → β} {g : α → γ} {h : β → δ} {i : γ → δ} (H : h ∘ f = i ∘ g)
include H
lemma filter.map_comm (F : filter α) : map h (map f F) = map i (map g F) :=
by rw [fi... |
5c062fb510bd6c6c870e3f780953afcafbfa1d4d | e38e95b38a38a99ecfa1255822e78e4b26f65bb0 | /src/certigrad/tfacts.lean | bcfab36a4d81ccaf6f996953a8035c832871260a | [
"Apache-2.0"
] | permissive | ColaDrill/certigrad | fefb1be3670adccd3bed2f3faf57507f156fd501 | fe288251f623ac7152e5ce555f1cd9d3a20203c2 | refs/heads/master | 1,593,297,324,250 | 1,499,903,753,000 | 1,499,903,753,000 | 97,075,797 | 1 | 0 | null | 1,499,916,210,000 | 1,499,916,210,000 | null | UTF-8 | Lean | false | false | 30,808 | lean | /-
Copyright (c) 2017 Daniel Selsam. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Daniel Selsam
Miscellaneous facts and theorems about tensors.
We view tensors as a field extended component-wise. As such, they
form an ordered (but not linearly-ordered) commutative ... |
68d5c25a83574c432f13e058716ae54d081b80cf | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/data/zmod/basic_auto.lean | b39831641395c064419c43f1c9ca6d36c573561a | [] | 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 | 17,879 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Chris Hughes
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.data.int.modeq
import Mathlib.algebra.char_p.basic
import Mathlib.data.nat.totient
import Mathli... |
a104a84241287e9a86dcc2a5f8d5c39d176ff9f6 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/analysis/calculus/specific_functions.lean | 1dd2f676a78735bb005931ba152dea02e55810f2 | [
"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 | 18,869 | lean | /-
Copyright (c) 2020 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import analysis.calculus.iterated_deriv
import analysis.inner_product_space.euclidean_dist
/-!
# Infinitely smooth bump function
In this file we construct sev... |
22d73a0d32ae9e1ebab57488d717dc2b6e3bf6cc | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/tactic/protected_auto.lean | 4d61ed03dc249f5a01e065c6e533cff7fda09e1b | [] | 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 | 2,258 | lean | /-
Copyright (c) 2020 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.tactic.core
import Mathlib.PostPort
namespace Mathlib
/-!
## `protected` and `protect_proj` u... |
080ed959be1bf53a4a527867f68c0413b6dd997f | 26ac254ecb57ffcb886ff709cf018390161a9225 | /src/logic/embedding.lean | 013f57258f29b581eb6ebb6cb7dafeda1a20af61 | [
"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 | 10,016 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro
-/
import data.equiv.basic
import data.sigma
/-!
# Injective functions
-/
universes u v w x
namespace function
/-- `α ↪ β` is a bundled injective fun... |
cee6c602fa2be2d3448940d918b51a69c1bddd5b | 302c785c90d40ad3d6be43d33bc6a558354cc2cf | /src/algebra/ordered_monoid.lean | 08f98ad49c400098e738d7fd83f0fca0cab2a65c | [
"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 | 48,746 | lean | /-
Copyright (c) 2016 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Leonardo de Moura, Mario Carneiro, Johannes Hölzl
-/
import algebra.group.with_one
import algebra.group.type_tags
import algebra.group.prod
import algebra.order_functions... |
3946f9c3bbef485b897c17e5448cd21cf38ee483 | d9d511f37a523cd7659d6f573f990e2a0af93c6f | /src/data/int/modeq.lean | f76b7e7b989b23a29c2d5f2cfe27f4b7f14dd8cf | [
"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 | 7,489 | 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.nat.modeq
import tactic.ring
/-!
# Congruences modulo an integer
This file defines the equivalence relation `a ≡ b [ZMOD n]` on the integers, similarly to ... |
db9a0ab409c7255a8a302c42afc15a9fa9b741be | ee8cdbabf07f77e7be63a449b8483ce308d37218 | /lean/src/test/induction-1pxpownlt1pnx.lean | e38be2738a4fcc7b1d55f4817267f21fb6edfc32 | [
"MIT",
"Apache-2.0"
] | permissive | zeta1999/miniF2F | 6d66c75d1c18152e224d07d5eed57624f731d4b7 | c1ba9629559c5273c92ec226894baa0c1ce27861 | refs/heads/main | 1,681,897,460,642 | 1,620,646,361,000 | 1,620,646,361,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 269 | lean | /-
Copyright (c) 2021 OpenAI. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kunhao Zheng
-/
import data.real.basic
example (x : ℝ) ( n : ℕ+) (h₀ : -1 < x) : (1 + x) ^ (n:ℕ) ≤ (1 + n*x) :=
begin
sorry
end
|
7bdc32e2429dee357df19ea5943d6869dc036088 | 9d2e3d5a2e2342a283affd97eead310c3b528a24 | /src/exercises_sources/thursday/afternoon/category_theory/exercise3.lean | 93e2af673f1c6c704f83b48f7948b79570617f12 | [] | permissive | Vtec234/lftcm2020 | ad2610ab614beefe44acc5622bb4a7fff9a5ea46 | bbbd4c8162f8c2ef602300ab8fdeca231886375d | refs/heads/master | 1,668,808,098,623 | 1,594,989,081,000 | 1,594,990,079,000 | 280,423,039 | 0 | 0 | MIT | 1,594,990,209,000 | 1,594,990,209,000 | null | UTF-8 | Lean | false | false | 813 | lean | import for_mathlib.category_theory -- This imports some simp lemmas that I realised belong in mathlib while writing this exercise.
open category_theory
variables {C : Type*} [category C]
variables {D : Type*} [category D]
lemma equiv_reflects_mono {X Y : C} (f : X ⟶ Y) (e : C ≌ D)
(hef : mono (e.functor.map f)) : ... |
dd22fd80b8afb5cf2e8aeeb86dade4bb08e0ffbb | 4727251e0cd73359b15b664c3170e5d754078599 | /src/algebra/cubic_discriminant.lean | a235d3255df215bac09d93376d8ff127ff732994 | [
"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 | 11,408 | lean | /-
Copyright (c) 2022 David Kurniadi Angdinata. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: David Kurniadi Angdinata
-/
import field_theory.splitting_field
/-!
# Cubics and discriminants
This file defines cubic polynomials over a semiring and their discriminants ... |
0121aeafc5b609bf9f7909649647e8d76cf7bcf8 | 41ebf3cb010344adfa84907b3304db00e02db0a6 | /uexp/src/uexp/rules/transitiveInferenceProject.lean | fa8932f99184d198d93d2e96e4b5ad0f44cc0439 | [
"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 | 2,344 | lean | import ..sql
import ..tactics
import ..u_semiring
import ..extra_constants
import ..meta.ucongr
import ..meta.TDP
set_option profiler true
open Expr
open Proj
open Pred
open SQL
open tree
open binary_operators
set_option profiler true
notation `int` := datatypes.int
variable integer_1: const datatypes.int
variable... |
bde6242f382d14cc4763d72862c26060517238dd | c9b68131de1dfe4e7f0ea5749b11e67a774bc839 | /src/range_check.lean | 2a33e0452a820f243d1bc496a7ea508a3ad14e93 | [] | no_license | congge666/formal-proofs | 2013f158f310abcfc07c156bb2a5113fb78f7831 | b5f6964d0220c8f89668357f2c08e44861128fe3 | refs/heads/master | 1,691,374,567,671 | 1,632,704,604,000 | 1,632,706,366,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 5,116 | lean | /-
Range check constraints.
-/
import memory
noncomputable theory
open_locale big_operators
/- trace data -/
variables {F : Type*} [field F]
variables {n : ℕ} {a a' p : fin (n + 1) → F}
variables {z : F}
variables {rc_min rc_max : ℕ}
variable {T : ℕ}
variables {off_op0_tilde
off_op1_tilde
... |
9c200542d105dd967e0e02438e210a4c3c35a01d | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/tactic/monotonicity/default_auto.lean | 5a10245a0fe3be2aed0cd31d7d64b06539b1c5f3 | [] | 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 | 351 | lean | /-
Copyright (c) 2019 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Simon Hudon
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.tactic.monotonicity.interactive
import Mathlib.tactic.monotonicity.lemmas
import Mathlib.PostPort
... |
0853e54185ad883ee02c6454bc2e023ad6e7edbf | 07c76fbd96ea1786cc6392fa834be62643cea420 | /hott/init/nat.hlean | d6b63d941ad57470a54d64069a19f01fd0e85179 | [
"Apache-2.0"
] | permissive | fpvandoorn/lean2 | 5a430a153b570bf70dc8526d06f18fc000a60ad9 | 0889cf65b7b3cebfb8831b8731d89c2453dd1e9f | refs/heads/master | 1,592,036,508,364 | 1,545,093,958,000 | 1,545,093,958,000 | 75,436,854 | 0 | 0 | null | 1,480,718,780,000 | 1,480,718,780,000 | null | UTF-8 | Lean | false | false | 9,981 | 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.tactic init.num init.types init.path
open eq eq.ops decidable
open algebra sum
set_option class.force_new true
notati... |
53c5700f3e2bfd830a4ab1e5158cee9864d148a7 | ec5a7ae10c533e1b1f4b0bc7713e91ecf829a3eb | /ijcar16/examples/list.lean | 5fb47fac375307e01df997c71bab3502e66cd8ac | [
"MIT"
] | permissive | leanprover/leanprover.github.io | cf248934af7c7e9aeff17cf8df3c12c5e7e73f1a | 071a20d2e059a2c3733e004c681d3949cac3c07a | refs/heads/master | 1,692,621,047,417 | 1,691,396,994,000 | 1,691,396,994,000 | 19,366,263 | 18 | 27 | MIT | 1,693,989,071,000 | 1,399,006,345,000 | Lean | UTF-8 | Lean | false | false | 5,442 | lean | /-
This is a file from the Lean standard library.
We use it to demonstrate/test the congruence closure procedure
described in the paper:
"Congruence Closure for Intensional Type Theory"
Daniel Selsam and Leonardo de Moura
The lemmas proved using `by inst_simp` are using the congruence closure
procedure described ... |
6c121ec2dc20270cf81c4c25600c9eb068c06fa1 | 3f7026ea8bef0825ca0339a275c03b911baef64d | /docs/tutorial/category_theory/calculating_colimits_in_Top.lean | ee51776e65f4740ed24522a3a97a12f44ccf5a08 | [
"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 | 3,494 | lean | import topology.Top.limits
import category_theory.limits.shapes
import topology.instances.real
/- This file contains some demos of using the (co)limits API to do topology. -/
noncomputable theory
open category_theory
open category_theory.limits
def R : Top := Top.of ℝ
def I : Top := Top.of (set.Icc 0 1 : set ℝ)
def... |
21e95a2537587d41817888024ce7841f21339869 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/analysis/complex/cauchy_integral.lean | 7e49ef907682b4cc41f067f3ed71cdf10e674a0a | [
"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 | 37,922 | 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 measure_theory.measure.lebesgue.complex
import measure_theory.integral.divergence_theorem
import measure_theory.integral.circle_integral
import analysis.calc... |
b52305141b4d0743918b49c92754887d96efb038 | f618aea02cb4104ad34ecf3b9713065cc0d06103 | /src/data/padics/padic_numbers.lean | 513b420f0365cb41315d906ebbb499a0f7ca433f | [
"Apache-2.0"
] | permissive | joehendrix/mathlib | 84b6603f6be88a7e4d62f5b1b0cbb523bb82b9a5 | c15eab34ad754f9ecd738525cb8b5a870e834ddc | refs/heads/master | 1,589,606,591,630 | 1,555,946,393,000 | 1,555,946,393,000 | 182,813,854 | 0 | 0 | null | 1,555,946,309,000 | 1,555,946,308,000 | null | UTF-8 | Lean | false | false | 29,139 | 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
Define the p-adic numbers (rationals) ℚ_p as the completion of ℚ wrt the p-adic norm.
Show that the p-adic norm extends to ℚ_p, that ℚ is embedded in ℚ_p, and that ℚ_... |
777a61fd2e391b90f72ee755a156bc441cce553a | 5d166a16ae129621cb54ca9dde86c275d7d2b483 | /library/init/meta/pexpr.lean | fa48989be522722455c6ff5691abc9189ab7389f | [
"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 | 1,027 | 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.expr
universe u
/- Quoted expressions. They can be converted into expressions by using a tactic. -/
@[reducible] meta def pexpr :=... |
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