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a95a1a2142fca445e896a73accae07868db598a2 | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/ring_theory/integral_domain.lean | f1a77c3f06355e43d1609aab5ae4481e3380a9e8 | [
"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 | 7,037 | lean | /-
Copyright (c) 2020 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin, Chris Hughes
-/
import data.fintype.card
import data.polynomial.ring_division
import group_theory.order_of_element
import algebra.geom_sum
/-!
# Integral domains
Ass... |
b144d99fb48ea630d62dff794e6ae02354c114f0 | a7eef317ddec01b9fc6cfbb876fe7ac00f205ac7 | /src/category_theory/preadditive/default.lean | 7a7d6ef55d862574d48140a6653ebc7ca0a0952c | [
"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 | 7,845 | lean | /-
Copyright (c) 2020 Markus Himmel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Markus Himmel
-/
import algebra.group.hom
import category_theory.limits.shapes.kernels
import algebra.big_operators
/-!
# Preadditive categories
A preadditive category is a category i... |
531e9b46c83acf44920c6d32b614174d1de9069b | 0ddf2dd8409bcb923d11603846800bd9699616ea | /chapter11.lean | c819e9a12b3652153c1f6f6108974faee9af9a2e | [] | no_license | tounaishouta/Lean | 0cbaaa9340e7f8f884504ea170243e07a54f0566 | 1d75311f5506ca2bfd8b7ccec0b7d70c3319d555 | refs/heads/master | 1,610,229,383,935 | 1,459,950,226,000 | 1,459,950,226,000 | 50,836,185 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 7,837 | lean | import standard
namespace chapter11
--
-- 前回の復習
--
namespace review
/-
Lean でも "begin .. end" の間や "by" の後には Coq のような
tactic-style の証明が書けますよー
-/
end review
--
-- 11.4 Structuring Tactic Proof
--
namespace section4
/-
Lean では term-style proof と tactic-style proof を自由に行き来できるよ、という話
e.g.
* term-style proof の中で
* ... |
7e37ea2d3167b60f873544c1277ce9e3d74402a3 | 42610cc2e5db9c90269470365e6056df0122eaa0 | /hott/hit/quotient.hlean | 1ba872cd7ad215f13851d21630b3ee7e2213be0d | [
"Apache-2.0"
] | permissive | tomsib2001/lean | 2ab59bfaebd24a62109f800dcf4a7139ebd73858 | eb639a7d53fb40175bea5c8da86b51d14bb91f76 | refs/heads/master | 1,586,128,387,740 | 1,468,968,950,000 | 1,468,968,950,000 | 61,027,234 | 0 | 0 | null | 1,465,813,585,000 | 1,465,813,585,000 | null | UTF-8 | Lean | false | false | 8,177 | hlean | /-
Copyright (c) 2015 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn
Quotients. This is a quotient without truncation for an arbitrary type-valued binary relation.
See also .set_quotient
-/
/-
The hit quotient is primitive, declar... |
316b8e906a556189ec3f39fcf07a0a0e114fe1e6 | acc85b4be2c618b11fc7cb3005521ae6858a8d07 | /analysis/measure_theory/borel_space.lean | 0cff8934e41362d40e5786aa3674776ce6ea9309 | [
"Apache-2.0"
] | permissive | linpingchuan/mathlib | d49990b236574df2a45d9919ba43c923f693d341 | 5ad8020f67eb13896a41cc7691d072c9331b1f76 | refs/heads/master | 1,626,019,377,808 | 1,508,048,784,000 | 1,508,048,784,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 11,782 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
Borel (measurable) space -- the smallest σ-algebra generated by open sets
It would be nice to encode this in the topological space type class, i.e. each topological sp... |
2b9c1b15461940abe503c2bf5dca330bb7d56146 | 6dc0c8ce7a76229dd81e73ed4474f15f88a9e294 | /stage0/src/Init/Data/Repr.lean | 2ab02f3b1809a68b06d3f6c8eed069e036da693f | [
"Apache-2.0"
] | permissive | williamdemeo/lean4 | 72161c58fe65c3ad955d6a3050bb7d37c04c0d54 | 6d00fcf1d6d873e195f9220c668ef9c58e9c4a35 | refs/heads/master | 1,678,305,356,877 | 1,614,708,995,000 | 1,614,708,995,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 6,750 | lean | /-
Copyright (c) 2016 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura
-/
prelude
import Init.Data.Format.Basic
import Init.Data.Int.Basic
import Init.Data.Nat.Div
import Init.Data.UInt
import Init.Control.Id
open Sum Subtype Nat
... |
015c0aabec76178b2c8a410ffaaa618d6f93e2a8 | 9b9a16fa2cb737daee6b2785474678b6fa91d6d4 | /src/data/finsupp.lean | 13aa66b0f3c2b13eb00289f60c3bcd176052ac05 | [
"Apache-2.0"
] | permissive | johoelzl/mathlib | 253f46daa30b644d011e8e119025b01ad69735c4 | 592e3c7a2dfbd5826919b4605559d35d4d75938f | refs/heads/master | 1,625,657,216,488 | 1,551,374,946,000 | 1,551,374,946,000 | 98,915,829 | 0 | 0 | Apache-2.0 | 1,522,917,267,000 | 1,501,524,499,000 | Lean | UTF-8 | Lean | false | false | 49,621 | 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... |
78ab5da22e10ead6dcf67feb663afad533f91ddf | dfbd4b284cc03e870b12af5532c592e0ad8d02f1 | /M1F/2017-18/Example_Sheet_01/Question_07/M1F_sheet01_solution07.lean | 23879ce21bab73d082b445549fae5265bb529f4e | [] | no_license | Shamrock-Frost/xena | 7a1e27df933f9321584e6256c0319e5a1afb9a38 | 9eb0c2c23363b963a2ebb2ea5bb37cc7dd602b1a | refs/heads/master | 1,626,672,528,677 | 1,509,140,744,000 | 1,509,140,744,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 8,046 | lean | import analysis.real xenalib.M1Fstuff
-- real numbers live in here in Lean mathlib
-- NB you need mathlib installed to get this working.
-- of_rat is the injection from the rationals to the reals.
-- This question was absurdly difficult for me
-- because we need to prove that 1/2 isn't an integer ;-)
-- I did it in t... |
3665eba1ec17362c0ac5641c41ba7cf70592743b | 037dba89703a79cd4a4aec5e959818147f97635d | /src/2020/problem_sheets/Part_II/sheet1_q1_solutions.lean | 899cd39a8d03996eda26495e6b915e42cb4d8b73 | [] | no_license | ImperialCollegeLondon/M40001_lean | 3a6a09298da395ab51bc220a535035d45bbe919b | 62a76fa92654c855af2b2fc2bef8e60acd16ccec | refs/heads/master | 1,666,750,403,259 | 1,665,771,117,000 | 1,665,771,117,000 | 209,141,835 | 115 | 12 | null | 1,640,270,596,000 | 1,568,749,174,000 | Lean | UTF-8 | Lean | false | false | 728 | lean | import tactic
variables (x y : ℕ)
open nat
theorem Q1a : x + y = y + x :=
begin
induction y with d hd,
{ rw [add_zero, zero_add] },
{ rw [add_succ, succ_add, hd] }
end
theorem Q1b : x + y = x → y = 0 :=
begin
intro h,
induction x with d hd,
{ convert h, rw zero_add },
{ apply hd,
rw succ_add at h,... |
00abbacde25829c2d19473b083d7b9d7118915a8 | d642a6b1261b2cbe691e53561ac777b924751b63 | /src/ring_theory/algebra.lean | 57185203cf70916843b874aa60694aedb577c53d | [
"Apache-2.0"
] | permissive | cipher1024/mathlib | fee56b9954e969721715e45fea8bcb95f9dc03fe | d077887141000fefa5a264e30fa57520e9f03522 | refs/heads/master | 1,651,806,490,504 | 1,573,508,694,000 | 1,573,508,694,000 | 107,216,176 | 0 | 0 | Apache-2.0 | 1,647,363,136,000 | 1,508,213,014,000 | Lean | UTF-8 | Lean | false | false | 19,883 | lean | /-
Copyright (c) 2018 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau
Algebra over Commutative Ring (under category)
-/
import data.polynomial data.mv_polynomial
import data.complex.basic
import linear_algebra.tensor_product
import ring_theory.sub... |
8329d18b04576c62287a28fa88fab9e55b6266ff | bbecf0f1968d1fba4124103e4f6b55251d08e9c4 | /src/algebra/star/basic.lean | b890133027774fc4e68a3fe4bcd18d4bf4752a0d | [
"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 | 11,934 | 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 tactic.apply_fun
import algebra.field_power
import data.equiv.ring_aut
import group_theory.group_action.units
import algebra.ring.comp_typeclasses
/-!
# Star ... |
fe349c8a86db91456eefdfa8f3ab58a11e4b9b4c | 432d948a4d3d242fdfb44b81c9e1b1baacd58617 | /src/linear_algebra/unitary_group.lean | b346fc2568f7cfd2216228236208fccbd0affde9 | [
"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 | 6,376 | lean | /-
Copyright (c) 2021 Shing Tak Lam. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Shing Tak Lam
-/
import linear_algebra.matrix
import linear_algebra.nonsingular_inverse
import data.complex.basic
/-!
# The Unitary Group
This file defines elements of the unitary gro... |
eb797a7e3b74ca8f45a4f103c099ca1a9145b927 | 957a80ea22c5abb4f4670b250d55534d9db99108 | /library/init/meta/interactive.lean | 41719cd06a9d20a163ae6dd34c1c1e1990f5cfcf | [
"Apache-2.0"
] | permissive | GaloisInc/lean | aa1e64d604051e602fcf4610061314b9a37ab8cd | f1ec117a24459b59c6ff9e56a1d09d9e9e60a6c0 | refs/heads/master | 1,592,202,909,807 | 1,504,624,387,000 | 1,504,624,387,000 | 75,319,626 | 2 | 1 | Apache-2.0 | 1,539,290,164,000 | 1,480,616,104,000 | C++ | UTF-8 | Lean | false | false | 42,025 | lean | /-
Copyright (c) 2016 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
prelude
import init.meta.tactic init.meta.rewrite_tactic init.meta.simp_tactic
import init.meta.smt.congruence_closure init.category.combinators
import init... |
b3a635c961fb8eaddf7e21d7af95967e1742fdc1 | 8e31b9e0d8cec76b5aa1e60a240bbd557d01047c | /src/refinement/tableau.lean | c976900e08cbbca04bdee1adb44d0c235fdaa297 | [] | no_license | ChrisHughes24/LP | 7bdd62cb648461c67246457f3ddcb9518226dd49 | e3ed64c2d1f642696104584e74ae7226d8e916de | refs/heads/master | 1,685,642,642,858 | 1,578,070,602,000 | 1,578,070,602,000 | 195,268,102 | 4 | 3 | null | 1,569,229,518,000 | 1,562,255,287,000 | Lean | UTF-8 | Lean | false | false | 26,178 | lean | import data.matrix.pequiv data.rat.basic tactic.fin_cases data.list.min_max partition .tableau_class
open matrix fintype finset function pequiv is_tableau
local notation `rvec`:2000 n := matrix (fin 1) (fin n) ℚ
local notation `cvec`:2000 m := matrix (fin m) (fin 1) ℚ
local infix ` ⬝ `:70 := matrix.mul
local postfix ... |
f4622f21e53901933fb5011acc7dc5d53a3ce03f | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/data/list/prime.lean | bf6c5986e54c9f80febaa770b437aa44fab2715e | [
"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 | 3,183 | 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, Anne Baanen
-/
import algebra.associated
import data.list.big_operators
import data.list.perm
/-!
# Products of lists of prime elements.
This file co... |
168c1f0c1ad82048f287e5e511a70c57a00bf6d4 | 69d4931b605e11ca61881fc4f66db50a0a875e39 | /src/combinatorics/simple_graph/degree_sum.lean | dcc0eac7cdc1ca96334303cb97cba58bdad4d5fb | [
"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 | 8,343 | lean | /-
Copyright (c) 2020 Kyle Miller. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kyle Miller
-/
import combinatorics.simple_graph.basic
import algebra.big_operators.basic
import data.nat.parity
import data.zmod.parity
/-!
# Degree-sum formula and handshaking lemma
T... |
c457d7c52004984c3eabb7fb00b5f5cd289fda83 | 97c8e5d8aca4afeebb5b335f26a492c53680efc8 | /ground_zero/theorems/topology.lean | 675b29a2a160f094ff75ee419c7722dd8a29027d | [] | no_license | jfrancese/lean | cf32f0d8d5520b6f0e9d3987deb95841c553c53c | 06e7efaecce4093d97fb5ecc75479df2ef1dbbdb | refs/heads/master | 1,587,915,151,351 | 1,551,012,140,000 | 1,551,012,140,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 889 | lean | namespace ground_zero.theorems.topology
universe u
def subset {α : Sort u} (u v : α → Prop) :=
Π x, u x → v x
def disjoint {α : Sort u} (u v : α → Prop) :=
Π x, not (u x ∧ v x)
def union {α : Sort u} (β : (α → Prop) → Prop) :=
λ x, ∃ (u : α → Prop), β u ∧ u x
def inter {α : Sort u} (u v : α → Prop) :=
λ x, u x ∧ v ... |
3a8708ecb3047c43926cea735e85f038d920415d | 09b3e1beaeff2641ac75019c9f735d79d508071d | /Mathlib/Algebra/Ring/Basic.lean | 9004e44bf1cc7a1bbe3e4f5f9b6f933fdd731d7a | [
"Apache-2.0"
] | permissive | abentkamp/mathlib4 | b819079cc46426b3c5c77413504b07541afacc19 | f8294a67548f8f3d1f5913677b070a2ef5bcf120 | refs/heads/master | 1,685,309,252,764 | 1,623,232,534,000 | 1,623,232,534,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,670 | lean | import Mathlib.Algebra.GroupWithZero.Defs
import Mathlib.Algebra.Group.Basic
import Mathlib.Tactic.Spread
/-
# Semirings and rings
-/
class Numeric (α : Type u) where
ofNat : Nat → α
instance Numeric.OfNat [Numeric α] : OfNat α n := ⟨Numeric.ofNat n⟩
class Semiring (R : Type u) extends Monoid R, AddCommMonoid R,... |
d058b662c15ccdfc4afa8204daf4d04642cbf873 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/computability/language.lean | c1c741e9fc4202e530f527c6fc2c36ffbfadb71b | [
"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 | 8,242 | lean | /-
Copyright (c) 2020 Fox Thomson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Fox Thomson
-/
import algebra.hom.ring
import algebra.order.kleene
import data.list.join
import data.set.lattice
/-!
# Languages
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes... |
e2cb16136ca74b44ea3b454bfa6f0e3b0a8fc5fa | 618003631150032a5676f229d13a079ac875ff77 | /src/category_theory/functor_category.lean | 2fe315528d6485988e14c64f11c471ba16bb7a19 | [
"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 | 4,084 | 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, Floris van Doorn
-/
import category_theory.natural_transformation
namespace category_theory
universes v₁ v₂ v₃ u₁ u₂ u₃ -- declare the `v... |
a1c403121afa2f1e58e24d209ab5e491c90378e2 | e030b0259b777fedcdf73dd966f3f1556d392178 | /tests/lean/run/destruct.lean | 23eef38b99b3a7877e569559be658e678d05a716 | [
"Apache-2.0"
] | permissive | fgdorais/lean | 17b46a095b70b21fa0790ce74876658dc5faca06 | c3b7c54d7cca7aaa25328f0a5660b6b75fe26055 | refs/heads/master | 1,611,523,590,686 | 1,484,412,902,000 | 1,484,412,902,000 | 38,489,734 | 0 | 0 | null | 1,435,923,380,000 | 1,435,923,379,000 | null | UTF-8 | Lean | false | false | 940 | lean | universe variables u
inductive Vec (α : Type u) : nat → Type (max 1 u)
| nil : Vec 0
| cons : ∀ {n}, α → Vec n → Vec (nat.succ n)
lemma split {α : Type u} {n : nat} (v : Vec α n) : (v == (Vec.nil α) ∧ n = 0) ∨ ∃ m h (t : Vec α m), v == Vec.cons h t ∧ n = nat.succ m :=
Vec.cases_on v
(or.inl ⟨heq.refl _, rfl⟩)
... |
c9577642dea6dfea181863016d8aa5044f15c81d | 8d65764a9e5f0923a67fc435eb1a5a1d02fd80e3 | /src/field_theory/algebraic_closure.lean | 5452aea47acb5e98f820a6f4dd644b1d99e1b3e8 | [
"Apache-2.0"
] | permissive | troyjlee/mathlib | e18d4b8026e32062ab9e89bc3b003a5d1cfec3f5 | 45e7eb8447555247246e3fe91c87066506c14875 | refs/heads/master | 1,689,248,035,046 | 1,629,470,528,000 | 1,629,470,528,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 15,800 | 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 algebra.direct_limit
import field_theory.splitting_field
/-!
# Algebraic Closure
In this file we define the typeclass for algebraically closed fields and algebraic cl... |
22cd53416ac224fb9d2ad374918d7b1971dacf4c | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/analysis/special_functions/log_deriv.lean | 6f9c67545a78c2f4f0050856aa2097ec959882eb | [
"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 | 11,206 | 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 analysis.special_functions.log
import analysis.special_functions.exp_deriv
/-!
# Derivative and series expansion o... |
a58b34ab42f04db4412a122b82639b946a779d8a | 80cc5bf14c8ea85ff340d1d747a127dcadeb966f | /src/topology/dense_embedding.lean | 59c3674eb25674778241bbb8fded082199765c13 | [
"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 | 14,381 | lean | /-
Copyright (c) 2019 Reid Barton. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro, Patrick Massot
-/
import topology.separation
/-!
# Dense embeddings
This file defines three properties of functions:
* `dense_range f` means `f` ha... |
ea4c069eba2b33a2f3c0ce639701097bca24694a | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/data/set/lattice_auto.lean | 4bf6d883160709722f1fe2761fb158dec29711c6 | [] | 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 | 61,007 | 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, Johannes Hölzl, Mario Carneiro
-- QUESTION: can make the first argument in ∀ x ∈ a, ... implicit?
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.in... |
f5375bc30b5275d86b47742ef55b14e63239312c | 5c4a0908390c4938ae21bc616ff2a969ce62fd76 | /library/data/set/basic.lean | ccad845c01afd6e0b06db5f16ca0d33ffab051b1 | [
"Apache-2.0"
] | permissive | Bpalkmim/lean | 968be8a73a06fa6db19073cd463d2093464dc0f6 | 994815bc7793f5765beb693c82341cf01d20d807 | refs/heads/master | 1,610,964,748,106 | 1,455,564,675,000 | 1,455,564,675,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 32,777 | lean | /-
Copyright (c) 2014 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Jeremy Avigad, Leonardo de Moura
-/
import logic.connectives logic.identities algebra.binary
open eq.ops binary function
definition set (X : Type) := X → Prop
namespace set
variable {... |
97bb2a77b3d5ddf8fd742c58386639984b8191c9 | 5c5878e769950eabe897ad08485b3ba1a619cea9 | /src/categories/universal/initial.lean | a0cbb4bf8e76d1ed7e746a27630466dd9e51e057 | [
"Apache-2.0"
] | permissive | semorrison/lean-category-theory-pr | 39dc2077fcb41b438e61be1685e4cbca298767ed | 7adc8d91835e883db0fe75aa33661bc1480dbe55 | refs/heads/master | 1,583,748,682,010 | 1,535,111,040,000 | 1,535,111,040,000 | 128,731,071 | 1 | 2 | Apache-2.0 | 1,528,069,880,000 | 1,523,258,452,000 | Lean | UTF-8 | Lean | false | false | 2,474 | 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 ..isomorphism
open category_theory
namespace category_theory.initial
universes u v
structure initial_object (C : Type u) [category.{u v... |
eed187639462e751c79c6122afddad4c489096f4 | 6b2a480f27775cba4f3ae191b1c1387a29de586e | /group_rep1/action_refondation.lean | 95552926be6e4630fb55bf6e8462aeff7f3c413e | [] | no_license | Or7ando/group_representation | a681de2e19d1930a1e1be573d6735a2f0b8356cb | 9b576984f17764ebf26c8caa2a542d248f1b50d2 | refs/heads/master | 1,662,413,107,324 | 1,590,302,389,000 | 1,590,302,389,000 | 258,130,829 | 0 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 4,244 | lean | import .group_representation
import .sub_module
import matrix_representation_refondation
import linear_algebra.matrix
import group_theory.group_action
import init.algebra.functions
set_option trace.simplify.rewrite true
namespace general
universes u v w w'
variables {G : Type u} (R : Type v) (X : Type w) [group G] [r... |
b595c9c8bdf9e3e23767a6be6b91d2c12836db37 | 302c785c90d40ad3d6be43d33bc6a558354cc2cf | /src/category_theory/epi_mono.lean | 5a963d4ee7af20f6c6e6b4a83ad4a0a9110cadf1 | [
"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 | 6,674 | lean | /-
Copyright (c) 2019 Reid Barton. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Reid Barton, Scott Morrison
Facts about epimorphisms and monomorphisms.
The definitions of `epi` and `mono` are in `category_theory.category`,
since they are used by some lemmas for `is... |
3b9ef4af2a3d160f35e5556bb0a59eb3fbfe40bc | 35677d2df3f081738fa6b08138e03ee36bc33cad | /src/tactic/trunc_cases.lean | 0404007ac9723608bccec626dde031118732d260 | [
"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 | 4,450 | 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 tactic.chain
import tactic.doc_commands
import data.quot
namespace tactic
/-- Auxiliary tactic for `trunc_cases`. -/
private meta def trunc_cases_subsingleto... |
5e1d46f5703829d46a23ecf164639a3123b72224 | a9fe717b93ccfa4b2e64faeb24f96dfefb390240 | /int/reify.lean | 7a6158019fb2fbacdc5966ec1a8c72b3cdc4ecea | [] | no_license | skbaek/omega | ab1f4a6daadfc8c855f14c39d9459ab841527141 | 715e384ed14e8eb177a326700066e7c98269e078 | refs/heads/master | 1,588,000,876,352 | 1,552,645,917,000 | 1,552,645,917,000 | 174,442,914 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,174 | lean | import .form
..tactic --.logic
open expr tactic
namespace int
meta def to_preterm : expr → tactic preterm
| (expr.var k) := return (preterm.var 1 k)
| `(-%%(expr.var k)) := return (preterm.var (-1 : int) k)
| `(%%(expr.var k) * %%zx) :=
do z ← eval_expr int zx,
return (preterm.var z k)
| `(%%t1x + %%t2x) ... |
02ec3a00024344b6970ba3adee40f40d31bf6342 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/geometry/manifold/cont_mdiff.lean | 212ebe27b846dd4574eafd7327f691c1f7aa41a7 | [
"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 | 69,704 | lean | /-
Copyright (c) 2020 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel, Floris van Doorn
-/
import geometry.manifold.smooth_manifold_with_corners
import geometry.manifold.local_invariant_properties
/-!
# Smooth functions between smoo... |
32d052d0962467d0142c49ce191b0ad27f71a0d9 | bb31430994044506fa42fd667e2d556327e18dfe | /src/algebra/continued_fractions/computation/basic.lean | 89945ec471bc8032f8888a61fdc7347948d6113a | [
"Apache-2.0"
] | permissive | sgouezel/mathlib | 0cb4e5335a2ba189fa7af96d83a377f83270e503 | 00638177efd1b2534fc5269363ebf42a7871df9a | refs/heads/master | 1,674,527,483,042 | 1,673,665,568,000 | 1,673,665,568,000 | 119,598,202 | 0 | 0 | null | 1,517,348,647,000 | 1,517,348,646,000 | null | UTF-8 | Lean | false | false | 7,953 | 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.order.floor
import algebra.continued_fractions.basic
/-!
# Computable Continued Fractions
## Summary
We formalise the standard computation of (r... |
9388844ff353c432c8af4c083fecbb932df10251 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/interactive1.lean | 941642014b7caa73f6edce2c65475eff330d463f | [
"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 | 915 | lean | def f : nat → nat := λ a, a
@[simp] lemma f_def (a : nat) : f a = a :=
rfl
def g : nat → nat := λ a, 1 + a
lemma g_def (a : nat) : g a = 1 + a :=
rfl
example (a b c : nat) : b = 0 → c = 1 → a + b + f c = g (f a) :=
begin
intros h1 h2,
simp [h1, h2, g_def, nat.add_comm 1 a, nat.add_zero]
end
example (b c : nat)... |
56c959eeeffef5b4f6625da05607981824991ffc | 367134ba5a65885e863bdc4507601606690974c1 | /src/ring_theory/witt_vector/structure_polynomial.lean | 450f0504e976c9982adf23774fad89ef363f5a78 | [
"Apache-2.0"
] | permissive | kodyvajjha/mathlib | 9bead00e90f68269a313f45f5561766cfd8d5cad | b98af5dd79e13a38d84438b850a2e8858ec21284 | refs/heads/master | 1,624,350,366,310 | 1,615,563,062,000 | 1,615,563,062,000 | 162,666,963 | 0 | 0 | Apache-2.0 | 1,545,367,651,000 | 1,545,367,651,000 | null | UTF-8 | Lean | false | false | 18,524 | lean | /-
Copyright (c) 2020 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin, Robert Y. Lewis
-/
import data.matrix.notation
import field_theory.mv_polynomial
import field_theory.finite.polynomial
import number_theory.basic
import ring_theory.wi... |
100fe6bedb84bb069c936d556e9b1deab5259e16 | df7bb3acd9623e489e95e85d0bc55590ab0bc393 | /lean/love07_metaprogramming_exercise_sheet.lean | 54e92e8ecd32835faadba308081723d7070d51c7 | [] | no_license | MaschavanderMarel/logical_verification_2020 | a41c210b9237c56cb35f6cd399e3ac2fe42e775d | 7d562ef174cc6578ca6013f74db336480470b708 | refs/heads/master | 1,692,144,223,196 | 1,634,661,675,000 | 1,634,661,675,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 7,185 | lean | import .love07_metaprogramming_demo
/- # LoVe Exercise 7: Metaprogramming -/
set_option pp.beta true
set_option pp.generalized_field_notation false
namespace LoVe
/- ## Question 1: A Term Exploder
In this exercise, we develop a string format for the `expr` metatype. By
default, there is no `has_repr` instance t... |
c716e5d520a5383cfda836f631cb57148138eeb1 | e00ea76a720126cf9f6d732ad6216b5b824d20a7 | /src/data/rat/basic.lean | d4183fe3d2bb561a18631043800f5ca8903114fa | [
"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 | 24,837 | lean | /-
Copyright (c) 2019 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro
-/
import
data.nat.gcd
data.pnat.basic data.int.sqrt data.equiv.encodable
algebra.group algebra.ordered_group algebra.group_power
algebra.euclide... |
2a313e123d8605bbd6976ab984421c941c7f47c6 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/dynamics/omega_limit.lean | d5e530e085338916554fcbcc04040b6ea4522b8a | [
"Apache-2.0"
] | permissive | AntoineChambert-Loir/mathlib | 64aabb896129885f12296a799818061bc90da1ff | 07be904260ab6e36a5769680b6012f03a4727134 | refs/heads/master | 1,693,187,631,771 | 1,636,719,886,000 | 1,636,719,886,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 16,648 | lean | /-
Copyright (c) 2020 Jean Lo. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jean Lo
-/
import dynamics.flow
/-!
# ω-limits
For a function `ϕ : τ → α → β` where `β` is a topological space, we
define the ω-limit under `ϕ` of a set `s` in `α` with respect to
filter `f... |
c596c4f50df5d24bccbcabc60f6802ca5cd8c9eb | b87641ffb6358d6508ccbfa54e67c87070cb28d8 | /cat/semifeilds.lean | cd934e7128f180d3f5bd2de643ee69c2975af463 | [] | no_license | Nolrai/LeanGiggle | a4b628745ae3f5a36ae79b673ee8543e18ed4899 | 8326b2a6685b60a3529ee0fe26bd86f5d849b071 | refs/heads/master | 1,545,396,766,168 | 1,538,238,458,000 | 1,538,238,458,000 | 105,524,473 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 11 | lean | check group |
83ebccd96d4b97d86f4a55a45b64e7f4a8a4d7a3 | 1a61aba1b67cddccce19532a9596efe44be4285f | /library/data/matrix.lean | bb40ed547335faa27d88c18a0402c0a4d9bff61e | [
"Apache-2.0"
] | permissive | eigengrau/lean | 07986a0f2548688c13ba36231f6cdbee82abf4c6 | f8a773be1112015e2d232661ce616d23f12874d0 | refs/heads/master | 1,610,939,198,566 | 1,441,352,386,000 | 1,441,352,494,000 | 41,903,576 | 0 | 0 | null | 1,441,352,210,000 | 1,441,352,210,000 | null | UTF-8 | Lean | false | false | 2,812 | lean | /-
Copyright (c) 2015 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura
Matrices
-/
import algebra.ring data.fin data.fintype
open algebra fin nat
definition matrix [reducible] (A : Type) (m n : nat) := fin m → fin n → A
namespac... |
87227f55ad89b7baa59ad02fec05cb3ac2565e36 | 4efff1f47634ff19e2f786deadd394270a59ecd2 | /src/data/finset/basic.lean | faa27f5d8711617967322ee6fab8bb69e5fdd450 | [
"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 | 90,222 | lean | /-
Copyright (c) 2015 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura, Jeremy Avigad, Minchao Wu, Mario Carneiro
-/
import data.multiset.finset_ops
import tactic.monotonicity
import tactic.apply
/-!
# Finite sets
mathlib has se... |
9a82b0bc6f464e62a4203695dc2995fc53a49daa | 947fa6c38e48771ae886239b4edce6db6e18d0fb | /src/set_theory/surreal/basic.lean | a96fb78270fdae226df352238ff29be5812c9cc0 | [
"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 | 13,759 | lean | /-
Copyright (c) 2019 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Scott Morrison
-/
import algebra.order.hom.monoid
import set_theory.game.ordinal
/-!
# Surreal numbers
The basic theory of surreal numbers, built on top of the theor... |
4fb7ceab6bb2ab21acb7729dda1d169cc8ac7ac6 | 82ad4119063bae9cb1cdabcb80c8f02d65e5b676 | /src/ivt2.lean | 7af06a8aea27685182bfd4421a0f1f817fc370fc | [] | no_license | shingtaklam1324/analysis-i | fb009497e0410af51c2cdd8a6f440c7349d0a10b | 928dd413014ca6668560c504592e0a15a83ea63a | refs/heads/master | 1,677,838,878,682 | 1,612,371,654,000 | 1,612,371,654,000 | 332,424,640 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,149 | lean | import topology.algebra.ordered
import topology.instances.real
-- `set_of_is_preconnected_eq_of_ordered` is the useful lemma
variables {X : Type} [topological_space X] [preconnected_space X]
#check @set_of_is_preconnected_eq_of_ordered
example (P Q R : Prop) (h : P ∨ Q ∨ R) (hQ : ¬ Q) : P ∨ R :=
or.cases_on h or.inl... |
642d7bbd9c96ab6eb5b97b22d1ed5afb718fe57e | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/model_theory/semantics.lean | c296b1e57beeb5ed196ee301275d491916a51425 | [
"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 | 37,300 | lean | /-
Copyright (c) 2021 Aaron Anderson, Jesse Michael Han, Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Aaron Anderson, Jesse Michael Han, Floris van Doorn
-/
import data.list.prod_sigma
import model_theory.syntax
/-!
# Basics on First-Order Semantic... |
c57eaf8e794bcabe9a0512baf98f1f9b0f93f126 | dd0f5513e11c52db157d2fcc8456d9401a6cd9da | /06_Inductive_Types.org.16.lean | 08e017c9360512077d6d6bf5f90d9f4c786da623 | [] | 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 | 130 | lean | /- page 82 -/
import standard
namespace hide
-- BEGIN
structure prod (A B : Type) :=
mk :: (pr1 : A) (pr2 : B)
-- END
end hide
|
46bc9c11f713715a64df0574a0587c3e621e3585 | bb31430994044506fa42fd667e2d556327e18dfe | /src/ring_theory/ideal/quotient.lean | ce7a83a3f0eae567adf23854446e5f7bfbd235ab | [
"Apache-2.0"
] | permissive | sgouezel/mathlib | 0cb4e5335a2ba189fa7af96d83a377f83270e503 | 00638177efd1b2534fc5269363ebf42a7871df9a | refs/heads/master | 1,674,527,483,042 | 1,673,665,568,000 | 1,673,665,568,000 | 119,598,202 | 0 | 0 | null | 1,517,348,647,000 | 1,517,348,646,000 | null | UTF-8 | Lean | false | false | 18,054 | lean | /-
Copyright (c) 2018 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau, Chris Hughes, Mario Carneiro, Anne Baanen
-/
import algebra.ring.fin
import algebra.ring.prod
import linear_algebra.quotient
import ring_theory.congruence
import ring_theory.idea... |
eda76b6ed2c8b3e170d333385cd2ace76b7aa379 | 92b13ae5cb04d78dd215ae736d93f5353e0e8e87 | /String.lean | 75d0069dfc0b39e233f4bd04a470b613ed051e95 | [] | no_license | jroesch/exp-compiler | f2dec4f17e769e7f3b41429c41ece1f004a3f209 | 6efd4512c80df947361bdada12415bc166db5e7f | refs/heads/master | 1,585,267,520,150 | 1,469,047,597,000 | 1,469,047,597,000 | 63,471,055 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 85 | lean | structure String :=
(repr : Type)
(elem : Type)
(index : nat → repr -> elem)
|
5d2fc8b98bce332a61fcf89cb7540698a213820b | 1437b3495ef9020d5413178aa33c0a625f15f15f | /ring_theory/noetherian.lean | 0eca7dfea5f129e35a343a42d3a787df63191a7c | [
"Apache-2.0"
] | permissive | jean002/mathlib | c66bbb2d9fdc9c03ae07f869acac7ddbfce67a30 | dc6c38a765799c99c4d9c8d5207d9e6c9e0e2cfd | refs/heads/master | 1,587,027,806,375 | 1,547,306,358,000 | 1,547,306,358,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 15,829 | lean | /-
Copyright (c) 2018 Mario Carneiro and Kevin Buzzard. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Kevin Buzzard
-/
import data.equiv.algebra
import data.polynomial
import linear_algebra.lc
import ring_theory.ideal_operations
open set lattice
nam... |
adb27be4fc5e6031e95ad4b5e4c3675392cb4818 | b328e8ebb2ba923140e5137c83f09fa59516b793 | /stage0/src/Lean/Meta/Tactic/Injection.lean | 32ae02f4358258be1beb8c7c4f49502c38310608 | [
"Apache-2.0"
] | permissive | DrMaxis/lean4 | a781bcc095511687c56ab060e816fd948553e162 | 5a02c4facc0658aad627cfdcc3db203eac0cb544 | refs/heads/master | 1,677,051,517,055 | 1,611,876,226,000 | 1,611,876,226,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,615 | lean | /-
Copyright (c) 2020 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Meta.AppBuilder
import Lean.Meta.Tactic.Clear
import Lean.Meta.Tactic.Assert
import Lean.Meta.Tactic.Intro
namespace Lean.Meta
inductive Injec... |
5d67859a62a1ae923883b51b87c6603dbd456ce0 | 69d4931b605e11ca61881fc4f66db50a0a875e39 | /src/measure_theory/haar_measure.lean | e67cccf7b3a6fb27780da735d83ecc1a5708bd7f | [
"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 | 25,953 | lean | /-
Copyright (c) 2020 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn
-/
import measure_theory.content
import measure_theory.prod_group
/-!
# Haar measure
In this file we prove the existence of Haar measure for a locally compact Haus... |
75fd57293767a2b9a2cb1782f18a7c2301525854 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/data/finset/functor.lean | d3073272295ded2497f13c9b440201cd2435521f | [
"Apache-2.0"
] | permissive | Vierkantor/mathlib | 0ea59ac32a3a43c93c44d70f441c4ee810ccceca | 83bc3b9ce9b13910b57bda6b56222495ebd31c2f | refs/heads/master | 1,658,323,012,449 | 1,652,256,003,000 | 1,652,256,003,000 | 209,296,341 | 0 | 1 | Apache-2.0 | 1,568,807,655,000 | 1,568,807,655,000 | null | UTF-8 | Lean | false | false | 5,770 | lean | /-
Copyright (c) 2021 Yaël Dillies. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yaël Dillies, Scott Morrison
-/
import data.finset.lattice
import data.multiset.functor
/-!
# Functoriality of `finset`
This file defines the functor structure of `finset`.
## TODO
C... |
60e948201f059b0bd52478ceb9652ec7b0c7deff | 55c7fc2bf55d496ace18cd6f3376e12bb14c8cc5 | /src/algebra/category/CommRing/adjunctions.lean | 34c6badcd0adce866dc16857c4d04c29a56d22bb | [
"Apache-2.0"
] | permissive | dupuisf/mathlib | 62de4ec6544bf3b79086afd27b6529acfaf2c1bb | 8582b06b0a5d06c33ee07d0bdf7c646cae22cf36 | refs/heads/master | 1,669,494,854,016 | 1,595,692,409,000 | 1,595,692,409,000 | 272,046,630 | 0 | 0 | Apache-2.0 | 1,592,066,143,000 | 1,592,066,142,000 | null | UTF-8 | Lean | false | false | 1,601 | lean | /-
Copyright (c) 2019 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison, Johannes Hölzl
-/
import algebra.category.CommRing.basic
import data.mv_polynomial
/-!
Multivariable polynomials on a type is the left adjoint of the
forgetful functor... |
7b6325ed7a8e5bec03eb976bbab572aece3f7776 | b5b9d19e77b999cc6ff35db56a5eb70fe0e330ca | /MathcampQQuiz/2012_q2.lean | 93247455fb7eacff8336ecfb6cf2dd6a50bff0d1 | [] | no_license | jalex-stark/live-stream | 10b432020d8cf7b38d268654f36a20b2b733176d | 066c55911cf5610a4363acaca87d50a9b6ec71de | refs/heads/master | 1,658,759,410,838 | 1,590,199,792,000 | 1,590,199,792,000 | 266,243,412 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,909 | lean | import data.nat.basic
import data.nat.parity
import data.int.basic
import data.equiv.denumerable
import data.int.modeq
import tactic
-- Determine all possible colorings of the integers that satisfy these rules.
structure coloring :=
-- Each integer on the number line is colored with exactly one of three possible c... |
eb005a687fbd6a1707d414e40a659ea62e4dcaec | acc85b4be2c618b11fc7cb3005521ae6858a8d07 | /tests/finish3.lean | b2a0433b3327089d9ef6c2f0950056cb242bf485 | [
"Apache-2.0"
] | permissive | linpingchuan/mathlib | d49990b236574df2a45d9919ba43c923f693d341 | 5ad8020f67eb13896a41cc7691d072c9331b1f76 | refs/heads/master | 1,626,019,377,808 | 1,508,048,784,000 | 1,508,048,784,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,018 | lean | /-
Copyright (c) 2016 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad
Examples from the tutorial.
-/
import tactic.finish
open auto
section
variables p q r s : Prop
-- commutativity of ∧ and ∨
example : p ∧ q ↔ q ∧ p := by finish
... |
b412d10928a9446e8fa29230c327a3c16b599818 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/category_theory/limits/preserves/functor_category.lean | 2db3de686ed8034c65884335724d62a8b79b3adc | [
"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 | 4,599 | 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.functor_category
import category_theory.limits.preserves.shapes.binary_products
import category_theory.limits.yoneda
import category_theory.... |
1e9a3337d72546018b2763c7b336810873a7a9f1 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /test/norm_cast.lean | 454cdebb5c0fa0633b28bcb46b57a1b6f47ee601 | [
"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 | 4,395 | lean | /-
Tests for norm_cast
-/
import tactic.norm_cast
import data.complex.basic -- ℕ, ℤ, ℚ, ℝ, ℂ
import data.real.ennreal
open_locale ennreal
constants (an bn cn dn : ℕ) (az bz cz dz : ℤ) (aq bq cq dq : ℚ)
constants (ar br cr dr : ℝ) (ac bc cc dc : ℂ)
example : (an : ℤ) = bn → an = bn := by {intro h, exact_mod_cast h}
... |
669955f8d1b90287f88dcee18e393b8fa7fc56d6 | 618003631150032a5676f229d13a079ac875ff77 | /src/analysis/normed_space/operator_norm.lean | 95790af8352af6bb6dc855eadbdb65d6bbdf1424 | [
"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 | 28,753 | lean | /-
Copyright (c) 2019 Jan-David Salchow. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jan-David Salchow, Sébastien Gouëzel, Jean Lo
Operator norm on the space of continuous linear maps
Define the operator norm on the space of continuous linear maps between normed s... |
0b57bd4546a79732c302b150f7d71b0150348504 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/topology/algebra/open_subgroup.lean | 94d261372e1d88d07304f19667328bd9fea0baad | [
"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 | 9,270 | lean | /-
Copyright (c) 2019 Johan Commelin All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin
-/
import topology.opens
import topology.algebra.ring
/-!
# Open subgroups of a topological groups
This files builds the lattice `open_subgroup G` of open subgroups in a... |
006467c953cd9c1a17b1f188670d94de0d3712f2 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/topology/paracompact.lean | 5b5744dfbbe43a780471d89309fab28ed7454886 | [
"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 | 15,279 | lean | /-
Copyright (c) 2021 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Reid Barton, Yury Kudryashov
-/
import topology.subset_properties
import topology.separation
import data.option.basic
/-!
# Paracompact topological spaces
A topological space `X` is... |
a07802854333810937928f5ccea183d815d2b03d | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/data/zsqrtd/to_real.lean | b6a21b48af703976a389b8887be1f50f45a45695 | [] | 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 | 1,059 | 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 Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.data.real.sqrt
import Mathlib.data.zsqrtd.basic
import Mathlib.PostPort
namespace Mathlib
/-!
#... |
f519dca95b73cee39daee3e1569cd6714a24bf88 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/testing/slim_check/testable_auto.lean | a8a06f0bf67f5fc6661f9d6862d5e979e5d61e1d | [] | 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 | 28,705 | lean | /-
Copyright (c) 2020 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author(s): Simon Hudon
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.testing.slim_check.sampleable
import Mathlib.PostPort
universes l v u_1 u u_2
namespace Math... |
427aea65027e2646e6f66543ebbe2a606c876b08 | 92b50235facfbc08dfe7f334827d47281471333b | /library/logic/axioms/prop_complete.lean | 2b9ef8e5ce934ede17b1f18acc66d0060514025c | [
"Apache-2.0"
] | permissive | htzh/lean | 24f6ed7510ab637379ec31af406d12584d31792c | d70c79f4e30aafecdfc4a60b5d3512199200ab6e | refs/heads/master | 1,607,677,731,270 | 1,437,089,952,000 | 1,437,089,952,000 | 37,078,816 | 0 | 0 | null | 1,433,780,956,000 | 1,433,780,955,000 | null | UTF-8 | Lean | false | false | 1,837 | 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.connectives logic.quantifiers logic.cast algebra.relation
import logic.axioms.em
open eq.ops
theorem prop_complete (a : Prop) : a = true ∨ a = ... |
2dd8854ba459879ea247cd72975c97d97e2a1d3c | abd85493667895c57a7507870867b28124b3998f | /src/topology/metric_space/basic.lean | 77a2643d49b8236af3d77b7b44f89772c4c3b71c | [
"Apache-2.0"
] | permissive | pechersky/mathlib | d56eef16bddb0bfc8bc552b05b7270aff5944393 | f1df14c2214ee114c9738e733efd5de174deb95d | refs/heads/master | 1,666,714,392,571 | 1,591,747,567,000 | 1,591,747,567,000 | 270,557,274 | 0 | 0 | Apache-2.0 | 1,591,597,975,000 | 1,591,597,974,000 | null | UTF-8 | Lean | false | false | 73,694 | lean | /-
Copyright (c) 2015, 2017 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Metric spaces.
Authors: Jeremy Avigad, Robert Y. Lewis, Johannes Hölzl, Mario Carneiro, Sébastien Gouëzel
Many definitions and theorems expected on metric spaces are already introduced o... |
208525a476546622d841000ceab2f2d7cb3925b5 | bae21755a4a03bbe0a5c22e258db8633407711ad | /library/init/meta/expr.lean | fd433d18462d4e0c34a5bd4fd0ecbf78c2cc0251 | [
"Apache-2.0"
] | permissive | nor-code/lean | f437357a8f85db0f06f186fa50fcb1bc75f6b122 | aa306af3d7c47de3c7937c98d3aa919eb8da6f34 | refs/heads/master | 1,662,613,329,886 | 1,586,696,014,000 | 1,586,696,014,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 21,844 | 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 init.category.monad init.meta.rb_map
universes u v
open native
/-- Column and line position in a Lean source file. -/
structu... |
c4b67ce61fa6353e347a8851c56db32a74a3d07a | 05b503addd423dd68145d68b8cde5cd595d74365 | /src/order/bounded_lattice.lean | 73d59c36e2ee5087eec9560c62f39e6ceed642f5 | [
"Apache-2.0"
] | permissive | aestriplex/mathlib | 77513ff2b176d74a3bec114f33b519069788811d | e2fa8b2b1b732d7c25119229e3cdfba8370cb00f | refs/heads/master | 1,621,969,960,692 | 1,586,279,279,000 | 1,586,279,279,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 29,482 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
Defines bounded lattice type class hierarchy.
Includes the Prop and fun instances.
-/
import order.lattice data.option.basic
tactic.pi_instances
set_option ol... |
260b00603710a2b3b59d9c740d804476b067cfa6 | a721fe7446524f18ba361625fc01033d9c8b7a78 | /src/principia/topology/topological_space.lean | 4e957b0216b6f3a35264a3fa7f5e9602068f36fb | [] | no_license | Sterrs/leaning | 8fd80d1f0a6117a220bb2e57ece639b9a63deadc | 3901cc953694b33adda86cb88ca30ba99594db31 | refs/heads/master | 1,627,023,822,744 | 1,616,515,221,000 | 1,616,515,221,000 | 245,512,190 | 2 | 0 | null | 1,616,429,050,000 | 1,583,527,118,000 | Lean | UTF-8 | Lean | false | false | 26,823 | lean | -- vim: ts=2 sw=0 sts=-1 et ai tw=70
-- Note we're not currently transitioning over to hidden namespace - we probably should,
-- though it will break things
import ..myset.basic
import ..myset.finite
import ..mylist.map
import ..logic
namespace hidden
structure topological_space (α : Type) :=
(is_open : myset (myse... |
f0959f48f63972bca18b4722f6b35a3dee8ee182 | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /library/data/default.lean | cb0806956aaa2926eff0aad4c58dc564cd177f99 | [
"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 | 325 | 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 .empty .bool .num .nat .list
-- .set
-- import .string .int .rat .fintype .prod .sum .sigma .option .list .finset .set .stream
-- import .fin .real .com... |
03d533ab4096764f8fb205d548a1e6f26db328b4 | bbecf0f1968d1fba4124103e4f6b55251d08e9c4 | /test/measurability.lean | f70a9567d4ec3eafd1626dbc6effb886ee593178 | [
"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 | 2,716 | 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 measure_theory.tactic
import measure_theory.function.lp_space
open_locale big_operators ennreal
variables {α β : Type*} [measurable_space α] [measurable_space β]... |
b7a34339da94aec90864622197b9a1aea1145ac2 | 618003631150032a5676f229d13a079ac875ff77 | /src/computability/reduce.lean | b1bcaf337df5ae9ca7c6c4e260841a9b0c8acfd3 | [
"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 | 17,518 | lean | /-
Copyright (c) 2019 Minchao Wu. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Minchao Wu, Mario Carneiro
-/
import computability.halting
/-!
# Strong reducibility and degrees.
This file defines the notions of many-one reduction and one-one reduction between sets, ... |
e708757d17755376920f5f573bec1e3a25359477 | cf39355caa609c0f33405126beee2739aa3cb77e | /tmp/bench30.lean | ff3b88755dac848cea6d8c124d0c7932e7482d59 | [
"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 | 634 | lean | lemma {u} ex {α : Type u} [linear_ordered_comm_ring α]
(a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10
a_11 a_12 a_13 a_14 a_15 a_16 a_17 a_18 a_19 a_20
a_21 a_22 a_23 a_24 a_25 a_26 a_27 a_28 a_29 a_30 : α) :
a_1 + a_2 + a_3 + a_4 + a_5 + a_6 + a_7 + a_8 + a_9 + a_10
+ a_11 + a_12 + a_13 + a_14 + a_15 + a_16 + a_1... |
990834a8c4371ca72b1ece71eda1e9655a779432 | ebb7367fa8ab324601b5abf705720fd4cc0e8598 | /colim.hlean | 0d9cd8f3b3aed6d78d1cee23ab39c381c10f645f | [
"Apache-2.0"
] | permissive | radams78/Spectral | 3e34916d9bbd0939ee6a629e36744827ff27bfc2 | c8145341046cfa2b4960ef3cc5a1117d12c43f63 | refs/heads/master | 1,610,421,583,830 | 1,481,232,014,000 | 1,481,232,014,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 18,006 | hlean | -- authors: Floris van Doorn, Egbert Rijke
import hit.colimit types.fin homotopy.chain_complex .move_to_lib
open seq_colim pointed algebra eq is_trunc nat is_equiv equiv sigma sigma.ops chain_complex
namespace seq_colim
definition pseq_colim [constructor] {X : ℕ → Type*} (f : Πn, X n →* X (n+1)) : Type* :=
point... |
eeab27f3a49affaa4dda7425a5989ca6ad9fc247 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/geometry/euclidean/triangle_auto.lean | 6452238d4b14aeb4f1fd3b7056c28d2719309044 | [] | 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 | 7,911 | lean | /-
Copyright (c) 2020 Joseph Myers. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Joseph Myers.
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.geometry.euclidean.basic
import Mathlib.tactic.interval_cases
import Mathlib.PostPort
universe... |
c7957f0e3fe14da5074e0615bf15846b92d1ad39 | b2fe74b11b57d362c13326bc5651244f111fa6f4 | /src/algebra/lie/universal_enveloping.lean | 86847ccb9ce7c2b4df57744a189f90201352de2b | [
"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 | 4,769 | lean | /-
Copyright (c) 2020 Oliver Nash. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Oliver Nash
-/
import algebra.lie.basic
import algebra.ring_quot
import linear_algebra.tensor_algebra
/-!
# Universal enveloping algebra
Given a commutative ring `R` and a Lie algebra `... |
384aafb6d5f9b1ac353180013631cdfc6114737e | 75bd9c50a345718d735a7533c007cf45f9da9a83 | /src/measure_theory/bochner_integration.lean | c68953e5951bf88d95198429cf8cbd1f9c70f910 | [
"Apache-2.0"
] | permissive | jtbarker/mathlib | a1a3b1ddc16179826260578410746756ef18032c | 392d3e376b44265ef2dedbd92231d3177acc1fd0 | refs/heads/master | 1,671,246,411,096 | 1,600,801,712,000 | 1,600,801,712,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 61,920 | lean | /-
Copyright (c) 2019 Zhouhang Zhou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Zhouhang Zhou
-/
import measure_theory.simple_func_dense
import analysis.normed_space.bounded_linear_maps
import topology.sequences
/-!
# Bochner integral
The Bochner integral extends... |
bb22384efcb206a276303af13ddfd26fc7864cde | 4727251e0cd73359b15b664c3170e5d754078599 | /src/data/mv_polynomial/variables.lean | 69faa0d35d8e0c205f033699cd751f2267565208 | [
"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 | 29,334 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Johan Commelin, Mario Carneiro
-/
import algebra.big_operators.order
import data.mv_polynomial.monad
/-!
# Degrees and variables of polynomials
This file establishes ... |
05038e96db879d28b4f1fb4cbde9fa4d802df87e | 05b503addd423dd68145d68b8cde5cd595d74365 | /src/algebra/category/Group/basic.lean | 1f2c8441ed0bbc1770057d27ca75ab98f4bf49e2 | [
"Apache-2.0"
] | permissive | aestriplex/mathlib | 77513ff2b176d74a3bec114f33b519069788811d | e2fa8b2b1b732d7c25119229e3cdfba8370cb00f | refs/heads/master | 1,621,969,960,692 | 1,586,279,279,000 | 1,586,279,279,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 9,395 | lean | /-
Copyright (c) 2018 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin
-/
import algebra.punit_instances
import algebra.category.Mon.basic
import category_theory.endomorphism
import category_theory.epi_mono
/-!
# Category instances for gr... |
e708913d73c527b236366eb4eb956e6bcb3c5d5d | cf39355caa609c0f33405126beee2739aa3cb77e | /library/init/function.lean | 397319bb9b1e3424b025ee2aa00a66fc7fa71d9c | [
"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 | 6,628 | 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... |
bd6e512d80bc8ade1fdfdb181494c1bb83f25dff | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/category_theory/monoidal/internal/functor_category.lean | f6f4133333b2211d16adeb9ad95bf5054e7004b4 | [
"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 | 7,208 | lean | /-
Copyright (c) 2020 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import category_theory.monoidal.CommMon_
import category_theory.monoidal.functor_category
/-!
# `Mon_ (C ⥤ D) ≌ C ⥤ Mon_ D`
When `D` is a monoidal category,
monoid ... |
c5c82dfd22b07efcbb8762e2290f6616068a2961 | 19cc34575500ee2e3d4586c15544632aa07a8e66 | /src/algebra/group_power/lemmas.lean | 0783315318b68a6d97a7d7281fa39f8ab88f0bd9 | [
"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 | 22,164 | lean | /-
Copyright (c) 2015 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Robert Y. Lewis
-/
import algebra.group_power.basic
import algebra.opposites
import data.list.basic
import data.int.cast
import data.equiv.basic
import deprecated.group
... |
ba15f557ebd96ae8fa3a7d9bdd6b37391e978416 | 0c1546a496eccfb56620165cad015f88d56190c5 | /library/tools/super/datatypes.lean | 6f551b7a0e56365e6d5872369486663e0380a2c5 | [
"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 | 1,522 | lean | /-
Copyright (c) 2016 Gabriel Ebner. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gabriel Ebner
-/
import .clause_ops .prover_state
open expr tactic monad
namespace super
meta def has_diff_constr_eq_l (c : clause) : tactic bool := do
env ← get_env,
return $ list.bo... |
270c379dbf69a115aa051616b6ff294369e9896f | a45212b1526d532e6e83c44ddca6a05795113ddc | /src/data/stream/basic.lean | 737ef1f26e94703e848857cb67dee1839dc8ff19 | [
"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 | 70 | lean |
import tactic.ext data.stream
attribute [extensionality] stream.ext
|
32dfee90bb93f699923b1b1ca99d2ce01480b98a | 7cef822f3b952965621309e88eadf618da0c8ae9 | /src/group_theory/presented_group.lean | 8ef123e7d76845303164e89eaffd82ccd4123508 | [
"Apache-2.0"
] | permissive | rmitta/mathlib | 8d90aee30b4db2b013e01f62c33f297d7e64a43d | 883d974b608845bad30ae19e27e33c285200bf84 | refs/heads/master | 1,585,776,832,544 | 1,576,874,096,000 | 1,576,874,096,000 | 153,663,165 | 0 | 2 | Apache-2.0 | 1,544,806,490,000 | 1,539,884,365,000 | Lean | UTF-8 | Lean | false | false | 2,754 | lean | /-
Copyright (c) 2019 Michael Howes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Michael Howes
Defining a group given by generators and relations
-/
import group_theory.free_group group_theory.quotient_group
variables {α : Type}
/-- Given a set of relations, rel... |
e4822853ae8ca7faac7db45f309894cd95aed6ec | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/pkg/deriving/UserDeriving/Tst.lean | b185b1c061dcfb373d6bc862f9dbeaeae03aa218 | [
"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 | 188 | lean | import UserDeriving.Simple
inductive Foo where
| mk₁
| mk₂
deriving Simple, Inhabited /- Creates `Foo.test`, and then runs builtin handler. -/
example : Foo.test = 0 := by rfl
|
5f70712a714001b35f725986cf77a8e4c34560e5 | 556aeb81a103e9e0ac4e1fe0ce1bc6e6161c3c5e | /src/starkware/cairo/lean/semantics/air_encoding/range_check.lean | 78696fdca6fd146b7c736c1b65be8a1dbd94f27f | [
"Apache-2.0"
] | permissive | starkware-libs/formal-proofs | d6b731604461bf99e6ba820e68acca62a21709e8 | f5fa4ba6a471357fd171175183203d0b437f6527 | refs/heads/master | 1,691,085,444,753 | 1,690,507,386,000 | 1,690,507,386,000 | 410,476,629 | 32 | 9 | Apache-2.0 | 1,690,506,773,000 | 1,632,639,790,000 | Lean | UTF-8 | Lean | false | false | 5,497 | lean | /-
Range check constraints.
-/
import starkware.cairo.lean.semantics.air_encoding.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_o... |
1768765cb72d55a368e54899efd3e2dab18ffea2 | 48eee836fdb5c613d9a20741c17db44c8e12e61c | /src/util/meta/level.lean | 9211b180f9c5ebb33c6acc13fe180bed32d17d51 | [
"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 | 4,570 | lean | -- Copyright © 2019 François G. Dorais. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
import .exceptional
import .name
import .format
namespace level
meta def one : level := level.succ level.zero
meta def list_max : list level → level
| [] := level.zero
| [l] := l
| (l:... |
dd89b2eaba30989349e3dd0cddec9f93f4f7023e | 07047769c68cca24aad071e3eecae85670715f45 | /test.lean | 8d52eee6bbb72fb6db54afa244bc7f5cb8a7ebef | [] | no_license | mikodeamsterdamo/leanhammer | 8c016c99db92785b37af59f433206c87325a9412 | 85b00d2b213dec48d6aa9a13d80a3c4085bb53df | refs/heads/master | 1,584,604,949,759 | 1,531,402,599,000 | 1,531,402,599,000 | 136,170,421 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 19,738 | lean | @[reducible] meta def debruijn := nat
meta inductive folpred
| P : folpred
| T : folpred
| eq : folpred
meta inductive folterm
| const : name → folterm
| lconst : name → name → folterm
| prf : folterm
| var : debruijn → folterm
| app : folterm → folterm → folterm
meta inductive folform
| P : folterm → folform
| T ... |
8a4916453225a9010f3479ca00171d9b70efb3f8 | 8d65764a9e5f0923a67fc435eb1a5a1d02fd80e3 | /src/topology/order.lean | 9afa1fadb5ab71ac78470fa2c7336ab97fea999f | [
"Apache-2.0"
] | permissive | troyjlee/mathlib | e18d4b8026e32062ab9e89bc3b003a5d1cfec3f5 | 45e7eb8447555247246e3fe91c87066506c14875 | refs/heads/master | 1,689,248,035,046 | 1,629,470,528,000 | 1,629,470,528,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 29,887 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro
-/
import topology.tactic
/-!
# Ordering on topologies and (co)induced topologies
Topologies on a fixed type `α` are ordered, by reverse inclusion.
Tha... |
9ebcea5473e43799790411e03e2eeda9426ae4a0 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/geometry/manifold/tangent_bundle.lean | 1624cce93995e4ac65c0fb0797d5cced4919a1f9 | [
"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 | 32,846 | lean | /-
Copyright (c) 2019 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import topology.vector_bundle.basic
import geometry.manifold.smooth_manifold_with_corners
import data.set.prod
/-!
# Basic smooth bundles
In general, a smooth... |
8a462c0ef4e175f8eb1e3ca4ff7ec044bcc175f0 | a45212b1526d532e6e83c44ddca6a05795113ddc | /src/tactic/alias.lean | d6f53f0f72e346ddb908bfa6b73e31304796b272 | [
"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 | 4,442 | lean | /-
Copyright (c) 2017 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
This file defines an alias command, which can be used to create copies
of a theorem or definition with different names.
Syntax:
/ -- doc string - /
alias my_theorem ←... |
f30ea25ea604ec329a7224e60b575ad7b50b4db7 | 367134ba5a65885e863bdc4507601606690974c1 | /src/number_theory/arithmetic_function.lean | 088826ec89111629a4b39e3740d6552b49aeaf9d | [
"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 | 32,437 | lean | /-
Copyright (c) 2020 Aaron Anderson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Aaron Anderson
-/
import algebra.big_operators.ring
import number_theory.divisors
import algebra.squarefree
import algebra.invertible
/-!
# Arithmetic Functions and Dirichlet Convolut... |
f5a11fe34f6b11e6f82b7db67d43f76ef6fa51c9 | 64874bd1010548c7f5a6e3e8902efa63baaff785 | /tests/lean/run/nat_bug3.lean | d6da9538846f9bf57387daaeda5de98b7ae074b7 | [
"Apache-2.0"
] | permissive | tjiaqi/lean | 4634d729795c164664d10d093f3545287c76628f | d0ce4cf62f4246b0600c07e074d86e51f2195e30 | refs/heads/master | 1,622,323,796,480 | 1,422,643,069,000 | 1,422,643,069,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 729 | lean | import logic
open eq.ops
namespace experiment
inductive nat : Type :=
zero : nat,
succ : nat → nat
namespace nat
definition plus (x y : nat) : nat
:= nat.rec x (λn r, succ r) y
definition to_nat [coercion] (n : num) : nat
:= num.rec zero (λn, pos_num.rec (succ zero) (λn r, plus r (plus r (succ zero))) (λn r, plus r r)... |
fc93117e6181b8815ac72ef0794c2c901dca6df8 | 02005f45e00c7ecf2c8ca5db60251bd1e9c860b5 | /src/algebra/lie/subalgebra.lean | 56bff5f03ecd39da38bab8b8a7d303b5fd53bc19 | [
"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 | 16,348 | 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.lie.basic
import ring_theory.noetherian
/-!
# Lie subalgebras
This file defines Lie subalgebras of a Lie algebra and provides basic related definitions and... |
5566f8518d0e758050aeda3b153851661321e6d3 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/congrThm.lean | 9d8ff1a3c7e325853c7ce450c120f1151ca17cfa | [
"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 | 337 | lean | import Lean
opaque g (p : Prop) [Decidable p] (a : Nat) (h : a > 0) : Nat
open Lean Meta
def test (flag : Bool) : MetaM Unit := do
let some congrThm ← mkCongrSimp? (mkConst ``g) (subsingletonInstImplicitRhs := flag) | throwError "failed to generate theorem"
IO.println (← ppExpr congrThm.type)
#eval test false
#ev... |
f6599da15522fd30e7e284f9188b1ac5b6c4b6c4 | 49bd2218ae088932d847f9030c8dbff1c5607bb7 | /src/data/mv_polynomial.lean | 77f774dd62cc8e333fb73038a37250a85f7a2b7a | [
"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 | 43,687 | 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
Multivariate Polynomial
-/
import algebra.ring
import data.finsupp data.polynomial data.equiv.algebra
noncomputable theory
local attrib... |
2f13c29b81329cc09fc23e6cf4f4fb79e1e6f830 | bbecf0f1968d1fba4124103e4f6b55251d08e9c4 | /src/order/category/omega_complete_partial_order.lean | f5b9851bf4411fafa6dd4bef5d08f8fc9bd91dd2 | [
"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 | 3,982 | lean | /-
Copyright (c) 2020 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon
-/
import order.omega_complete_partial_order
import order.category.Preorder
import category_theory.limits.shapes.products
import category_theory.limits.shapes.equalizers
impo... |
4aeb179e7d66f87f243e3909997a219426042826 | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/order/filter/archimedean.lean | 6d0a2631e09fa73c093f8d648327e2c0181ce3b6 | [
"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 | 1,910 | lean | /-
Copyright (c) 2019 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Yury Kudryashov
-/
import order.filter.at_top_bot
import algebra.archimedean
/-!
# `at_top` filter and archimedean (semi)rings/fields
In this file we prove that for a... |
394e7e82174de407937bf7d529030ff8768d602a | 8e2026ac8a0660b5a490dfb895599fb445bb77a0 | /tests/lean/cyclic_default_fields.lean | b0ef1e46219df57b11dc77a6682e0f177d7606a2 | [
"Apache-2.0"
] | permissive | pcmoritz/lean | 6a8575115a724af933678d829b4f791a0cb55beb | 35eba0107e4cc8a52778259bb5392300267bfc29 | refs/heads/master | 1,607,896,326,092 | 1,490,752,175,000 | 1,490,752,175,000 | 86,612,290 | 0 | 0 | null | 1,490,809,641,000 | 1,490,809,641,000 | null | UTF-8 | Lean | false | false | 184 | lean | class Eq (α : Type) :=
(eq : α → α → Prop)
(ne : α → α → Prop := λ a b, ¬eq a b)
(eq := λ a b, ¬ne a b)
#check ({eq := (=)} : Eq ℕ)
#check ({ne := (≠)} : Eq ℕ)
|
e3f5693c7bb7a1a89d686d2a64ce8159c68e2320 | 38ee9024fb5974f555fb578fcf5a5a7b71e669b5 | /Mathlib/Tactic/Find.lean | 9fcc6d95a09773f2dd2e7132ee0209ae030b2815 | [
"Apache-2.0"
] | permissive | denayd/mathlib4 | 750e0dcd106554640a1ac701e51517501a574715 | 7f40a5c514066801ab3c6d431e9f405baa9b9c58 | refs/heads/master | 1,693,743,991,894 | 1,636,618,048,000 | 1,636,618,048,000 | 373,926,241 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,419 | lean | /-
Copyright (c) 2021 Sebastian Ullrich. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Sebastian Ullrich
-/
import Lean
import Mathlib.Tactic.Cache
/-!
# The `#find` command and tactic.
The `#find` command finds definitions & lemmas using pattern matching on the type... |
fef54c35734167edafc93e263c06d76d7fd6e43e | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/category_theory/subterminal.lean | 5adb0eedb5aaef2ceaf544be62135bd5b772180c | [
"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 | 6,062 | 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.shapes.binary_products
import category_theory.limits.shapes.terminal
import category_theory.subobject.mono_over
/-!
# Subterminal objects
... |
121ae9527e12599fe2aadd6313c891d48f5a0fc8 | 80cc5bf14c8ea85ff340d1d747a127dcadeb966f | /src/combinatorics/composition.lean | d3d9d7501ce6c6c0bf1f3eca9d59d3bdfeab40e0 | [
"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 | 34,304 | 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 data.fintype.card
import data.finset.sort
import tactic.omega
/-!
# Compositions
A composition of an integer `n` is a decomposition `n = i₀ + ... + i_{... |
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