filename stringlengths 5 30 | content stringlengths 22 296k |
|---|---|
FrobeniusNumber.lean | /-
Copyright (c) 2021 Alex Zhao. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Alex Zhao
-/
import Mathlib.Algebra.Group.Submonoid.Membership
import Mathlib.Data.Nat.ModEq
import Mathlib.Tactic.Ring
import Mathlib.Tactic.Zify
/-!
# Frobenius Number in Two Variables
... |
mxalgebra.v | (* (c) Copyright 2006-2016 Microsoft Corporation and Inria. *)
(* Distributed under the terms of CeCILL-B. *)
From HB Require Import structures.
From mathcomp Require Import ssreflect ssrbool ssrfun eqtype ssrnat seq choice.
From mathcomp Require Import fintype finfun b... |
poly.v | (* (c) Copyright 2006-2016 Microsoft Corporation and Inria. *)
(* Distributed under the terms of CeCILL-B. *)
From HB Require Import structures.
From mathcomp Require Import ssreflect ssrbool ssrfun eqtype ssrnat seq choice.
From mathcomp Require Import fintype bigop fi... |
Basic.lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Joey van Langen, Casper Putz
-/
import Mathlib.Algebra.CharP.Algebra
import Mathlib.Algebra.CharP.Reduced
import Mathlib.Algebra.Field.ZMod
import Mathlib.Data.Nat.Prime.In... |
LargeColimits.lean | /-
Copyright (c) 2025 Sophie Morel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sophie Morel
-/
import Mathlib.Algebra.Category.Grp.Colimits
import Mathlib.Algebra.Module.CharacterModule
import Mathlib.Algebra.Group.Equiv.Basic
/-!
# Existence of "big" colimits in ... |
Equidecomp.lean | /-
Copyright (c) 2024 Felix Weilacher. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Felix Weilacher
-/
import Mathlib.Algebra.Group.Action.Defs
import Mathlib.Logic.Equiv.PartialEquiv
import Mathlib.Algebra.Group.Pointwise.Finset.Basic
/-!
# Equidecompositions
This... |
Defs.lean | /-
Copyright (c) 2015, 2017 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Robert Y. Lewis, Johannes Hölzl, Mario Carneiro, Sébastien Gouëzel
-/
import Mathlib.Topology.MetricSpace.Pseudo.Defs
/-!
# Metric spaces
This file defines metric... |
nmodule.v | From HB Require Import structures.
From mathcomp Require Import ssreflect ssrfun ssrbool eqtype choice ssrnat seq.
From mathcomp Require Import bigop fintype finfun monoid.
(******************************************************************************)
(* Additive group-like structures ... |
PosDef.lean | import Mathlib.LinearAlgebra.Matrix.PosDef
open Matrix
open scoped ComplexOrder
variable {n 𝕜 : Type*} [Fintype n] [RCLike 𝕜] [DecidableEq n]
{A : Matrix n n 𝕜} (hA : PosSemidef A)
-- test for custom elaborator
/--
info: (⋯ : A.PosSemidef).sqrt : Matrix n n 𝕜
-/
#guard_msgs in
#check (id hA).sqrt
|
HaveI.lean | /-
Copyright (c) 2023 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gabriel Ebner
-/
import Mathlib.Init
/-!
# Variants of `haveI`/`letI` for use in do-notation.
This files implements the `haveI'` and `letI'` macros which have the same semanti... |
seq.v | (* (c) Copyright 2006-2016 Microsoft Corporation and Inria. *)
(* Distributed under the terms of CeCILL-B. *)
From HB Require Import structures.
From mathcomp Require Import ssreflect ssrfun ssrbool eqtype ssrnat.
(******************************************************... |
Prod.lean | /-
Copyright (c) 2022 Kyle Miller. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kyle Miller
-/
import Mathlib.Data.Set.Finite.Basic
import Mathlib.Data.Fintype.Prod
import Mathlib.Data.Fintype.Pi
import Mathlib.Algebra.Order.Group.Multiset
import Mathlib.Data.Vector.... |
Subobjects.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.Algebra.Group.Subgroup.Defs
import Mathlib.Algebra.Group.Submonoid.DistribMulAction
import Mathlib.Algebra.Ring.Action.Basic
/-!
# Instances of `MulSemiring... |
Extend.lean | /-
Copyright (c) 2024 Dagur Asgeirsson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Dagur Asgeirsson
-/
import Mathlib.Topology.Category.LightProfinite.AsLimit
import Mathlib.Topology.Category.Profinite.Extend
/-!
# Extending cones in `LightProfinite`
Let `(Sₙ)_{... |
Order.lean | /-
Copyright (c) 2021 Peter Nelson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Peter Nelson, Yaël Dillies
-/
import Mathlib.Data.Finset.Lattice.Fold
import Mathlib.Data.Finset.Order
import Mathlib.Data.Set.Finite.Basic
import Mathlib.Data.Set.Finite.Range
import Ma... |
Projective.lean | /-
Copyright (c) 2020 Markus Himmel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Markus Himmel, Kim Morrison
-/
import Mathlib.Algebra.Category.ModuleCat.EpiMono
import Mathlib.Algebra.Group.Shrink
import Mathlib.Algebra.Module.Projective
import Mathlib.CategoryTheo... |
LogDeriv.lean | /-
Copyright (c) 2024 Chris Birkbeck. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Birkbeck
-/
import Mathlib.Analysis.Calculus.Deriv.ZPow
/-!
# Logarithmic Derivatives
We define the logarithmic derivative of a function f as `deriv f / f`. We then prove some ... |
Schur.lean | /-
Copyright (c) 2020 Kim Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Markus Himmel, Kim Morrison
-/
import Mathlib.Algebra.Group.Ext
import Mathlib.CategoryTheory.Simple
import Mathlib.CategoryTheory.Linear.Basic
import Mathlib.CategoryTheory.Endomorphism... |
tuple.v | (* (c) Copyright 2006-2016 Microsoft Corporation and Inria. *)
(* Distributed under the terms of CeCILL-B. *)
From HB Require Import structures.
From mathcomp Require Import ssreflect ssrfun ssrbool eqtype ssrnat.
From mathcomp Require Import seq choice fintype path.
S... |
Find.lean | /-
Copyright (c) 2021 Sebastian Ullrich. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sebastian Ullrich
-/
import Mathlib.Init
import Batteries.Util.Cache
import Lean.HeadIndex
import Lean.Elab.Command
/-!
# The `#find` command and tactic.
The `#find` command finds... |
Finset.lean | /-
Copyright (c) 2023 Bolton Bailey. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Bolton Bailey
-/
import Mathlib.Data.Finset.Prod
import Mathlib.Data.Fintype.Pi
/-!
# Fin-indexed tuples of finsets
-/
open Fin Fintype
namespace Fin
variable {n : ℕ} {α : Fin (n + 1... |
AdaptationNote.lean | /-
Copyright (c) 2024 Kyle Miller. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kyle Miller
-/
import Mathlib.Init
import Lean.Meta.Tactic.TryThis
/-!
# Adaptation notes
This file defines a `#adaptation_note` command.
Adaptation notes are comments that are used to ... |
Ray.lean | /-
Copyright (c) 2022 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov, Yaël Dillies
-/
import Mathlib.LinearAlgebra.Ray
import Mathlib.Analysis.NormedSpace.Real
import Mathlib.Algebra.Ring.Regular
/-!
# Rays in a real normed vector spac... |
Register.lean | /-
Copyright (c) 2023 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov
-/
import Mathlib.Init
import Lean.Meta.Tactic.Simp.SimpTheorems
import Lean.Meta.Tactic.Simp.RegisterCommand
import Lean.LabelAttribute
/-!
# Attributes used in `Mat... |
Split.lean | /-
Copyright (c) 2022 Joël Riou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joël Riou
-/
import Mathlib.AlgebraicTopology.SimplicialObject.Basic
import Mathlib.CategoryTheory.Limits.Shapes.Products
import Mathlib.Data.Fintype.Sigma
/-!
# Split simplicial objects
... |
Calculus.lean | /-
Copyright (c) 2023 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov
-/
import Mathlib.Geometry.Euclidean.Inversion.Basic
import Mathlib.Analysis.InnerProductSpace.Calculus
import Mathlib.Analysis.Calculus.Deriv.Inv
import Mathlib.Tacti... |
div.v | (* (c) Copyright 2006-2016 Microsoft Corporation and Inria. *)
(* Distributed under the terms of CeCILL-B. *)
From mathcomp Require Import ssreflect ssrfun ssrbool eqtype ssrnat seq.
(******************************************************************************)
(* Th... |
Tangent.lean | /-
Copyright (c) 2024 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel, Floris van Doorn
-/
import Mathlib.Geometry.Manifold.MFDeriv.Atlas
import Mathlib.Geometry.Manifold.MFDeriv.UniqueDifferential
import Mathlib.Geometry.Manifold.Ve... |
abel.lean | import Mathlib.Tactic.Abel
set_option linter.unusedVariables false
variable {α : Type _} {a b : α}
example [AddCommMonoid α] : a + (b + a) = a + a + b := by abel
example [AddCommGroup α] : (a + b) - ((b + a) + a) = -a := by abel
example [AddCommGroup α] (x : α) : x - 0 = x := by abel
example [AddCommMonoid α] : (3 :... |
CommRing_integralClosure.lean | import Mathlib
-- https://leanprover.zulipchat.com/#narrow/stream/287929-mathlib4/topic/category.20theory.20import.20breaks.20CommRing.20synthesis/near/449132250
variable (R : Type) (A : Type) [CommRing R] [CommRing A] [Algebra R A]
/-- info: (integralClosure R A).toCommRing -/
#guard_msgs in
#synth CommRing (integr... |
fraction.v | (* (c) Copyright 2006-2016 Microsoft Corporation and Inria. *)
(* Distributed under the terms of CeCILL-B. *)
From HB Require Import structures.
From mathcomp Require Import ssreflect ssrfun ssrbool eqtype ssrnat div seq.
From mathcomp Require Import ssrAC choice tuple ... |
morphism.v | (* (c) Copyright 2006-2016 Microsoft Corporation and Inria. *)
(* Distributed under the terms of CeCILL-B. *)
From mathcomp Require Import ssreflect ssrbool ssrfun eqtype ssrnat seq choice.
From mathcomp Require Import fintype finfun bigop finset fingroup.
(***********... |
Bilinear.lean | /-
Copyright (c) 2019 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Sébastien Gouëzel, Yury Kudryashov
-/
import Mathlib.Analysis.Calculus.FDeriv.Prod
/-!
# The derivative of bounded bilinear maps
For detailed documentation of the Fréch... |
Normed.lean | /-
Copyright (c) 2022 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn
-/
import Mathlib.Analysis.Calculus.BumpFunction.Basic
import Mathlib.MeasureTheory.Integral.Bochner.ContinuousLinearMap
import Mathlib.MeasureTheory.Measure.Lebesgu... |
Subfield.lean | /-
Copyright (c) 2021 Damiano Testa. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Damiano Testa
-/
import Mathlib.Algebra.Field.Subfield.Defs
import Mathlib.Algebra.Order.Ring.InjSurj
/-!
# Ordered instances on subfields
-/
namespace Subfield
variable {K : Type*}
... |
qpoly.v | From HB Require Import structures.
From mathcomp Require Import ssreflect ssrfun ssrbool eqtype ssrnat seq choice.
From mathcomp Require Import fintype tuple bigop binomial finset finfun ssralg.
From mathcomp Require Import countalg finalg poly polydiv perm fingroup matrix.
From mathcomp Require Import mxalgebra mxpoly... |
Relrank.lean | /-
Copyright (c) 2024 Jz Pan. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jz Pan
-/
import Mathlib.FieldTheory.IntermediateField.Adjoin.Basic
/-!
# Relative rank of subfields and intermediate fields
This file contains basics about the relative rank of subfields a... |
Dini.lean | /-
Copyright (c) 2024 Jireh Loreaux. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jireh Loreaux
-/
import Mathlib.Analysis.Normed.Order.Lattice
import Mathlib.Topology.ContinuousMap.Ordered
import Mathlib.Topology.UniformSpace.CompactConvergence
/-! # Dini's Theorem... |
all_character.v | From mathcomp Require Export character.
From mathcomp Require Export classfun.
From mathcomp Require Export inertia.
From mathcomp Require Export integral_char.
From mathcomp Require Export mxabelem.
From mathcomp Require Export mxrepresentation.
From mathcomp Require Export vcharacter.
|
DominatedConvergence.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 Mathlib.MeasureTheory.Integral.Lebesgue.Markov
import Mathlib.MeasureTheory.Integral.Lebesgue.Sub
/-!
# Dominated convergence theorem
Lebesgu... |
Sheafification.lean | /-
Copyright (c) 2024 Joël Riou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joël Riou
-/
import Mathlib.Algebra.Category.ModuleCat.Presheaf.Abelian
import Mathlib.Algebra.Category.ModuleCat.Presheaf.Sheafify
import Mathlib.Algebra.Category.ModuleCat.Presheaf.Limits... |
Imo2008Q4.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 Mathlib.Data.Real.Basic
import Mathlib.Data.Real.Sqrt
import Mathlib.Data.NNReal.Basic
import Mathlib.Tactic.LinearCombination
/-!
# IMO 2008 Q4
Find all fu... |
UnitInterval.lean | /-
Copyright (c) 2020 Patrick Massot. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Patrick Massot, Kim Morrison
-/
import Mathlib.Algebra.Order.Interval.Set.Instances
import Mathlib.Order.Interval.Set.ProjIcc
import Mathlib.Topology.Algebra.Ring.Real
/-!
# The unit ... |
Nilpotent.lean | /-
Copyright (c) 2018 Mario Carneiro, Kevin Buzzard. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Andrew Yang
-/
import Mathlib.RingTheory.Finiteness.Ideal
import Mathlib.RingTheory.Nilpotent.Lemmas
import Mathlib.RingTheory.Noetherian.Defs
/-!
# Nilpotent ideals in... |
HomCongr.lean | /-
Copyright (c) 2024 Nick Ward. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Nick Ward
-/
import Mathlib.CategoryTheory.Enriched.Ordinary.Basic
/-!
# Congruence of enriched homs
Recall that when `C` is both a category and a `V`-enriched category, we say it
is an `... |
Polynomial.lean | /-
Copyright (c) 2020 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin
-/
import Mathlib.Algebra.MvPolynomial.Expand
import Mathlib.FieldTheory.Finite.Basic
import Mathlib.LinearAlgebra.Dual.Lemmas
import Mathlib.LinearAlgebra.FiniteDimensi... |
ClassNumber.lean | /-
Copyright (c) 2021 Anne Baanen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Anne Baanen
-/
import Mathlib.NumberTheory.ClassNumber.AdmissibleAbs
import Mathlib.NumberTheory.ClassNumber.Finite
import Mathlib.NumberTheory.NumberField.Discriminant.Basic
import Mathl... |
lift.lean | import Mathlib.Tactic.Lift
import Batteries.Tactic.PermuteGoals
import Mathlib.Tactic.Coe
import Mathlib.Data.Set.Defs
import Mathlib.Order.WithBot
import Mathlib.Algebra.Group.WithOne.Defs
import Mathlib.Data.Set.Image
import Mathlib.Data.Set.List
import Mathlib.Data.Rat.Defs
import Mathlib.Data.PNat.Defs
/-! Some te... |
Init.lean | /-
Copyright (c) 2016 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad
-/
import Batteries.Logic
import Batteries.Tactic.Init
import Mathlib.Data.Int.Notation
import Mathlib.Data.Nat.Notation
import Mathlib.Tactic.Lemma
import Mathlib.Tactic.... |
Comma.lean | /-
Copyright (c) 2022 Markus Himmel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Markus Himmel
-/
import Mathlib.CategoryTheory.Subobject.WellPowered
import Mathlib.CategoryTheory.Comma.LocallySmall
import Mathlib.CategoryTheory.Limits.Preserves.Finite
import Mathli... |
Additive.lean | /-
Copyright (c) 2021 Kim Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kim Morrison
-/
import Mathlib.Algebra.Group.Pi.Basic
import Mathlib.Algebra.Homology.Single
import Mathlib.CategoryTheory.Preadditive.AdditiveFunctor
/-!
# Homology is an additive func... |
ArithMult.lean | /-
Copyright (c) 2023 Arend Mellendijk. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Arend Mellendijk
-/
import Mathlib.Tactic.Basic
import Mathlib.Tactic.ArithMult.Init
/-!
# Multiplicativity
We define the arith_mult tactic using aesop
-/
namespace ArithmeticFu... |
Binomial.lean | /-
Copyright (c) 2023 Joachim Breitner. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joachim Breitner
-/
import Mathlib.Data.Nat.Choose.Sum
import Mathlib.Probability.ProbabilityMassFunction.Constructions
import Mathlib.Tactic.FinCases
/-!
# The binomial distributio... |
Hom.lean | /-
Copyright (c) 2018 Andreas Swerdlow. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Andreas Swerdlow, Kexing Ying
-/
import Mathlib.Algebra.Algebra.Bilinear
import Mathlib.LinearAlgebra.Basis.Defs
import Mathlib.LinearAlgebra.BilinearForm.Basic
import Mathlib.Linear... |
IsField.lean | /-
Copyright (c) 2014 Robert Y. Lewis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Robert Y. Lewis, Leonardo de Moura, Johannes Hölzl, Mario Carneiro
-/
import Mathlib.Algebra.Field.Defs
import Mathlib.Tactic.Common
/-!
# `IsField` predicate
Predicate on a (semi)r... |
Basic.lean | /-
Copyright (c) 2023 Anatole Dedecker. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Anatole Dedecker, Etienne Marion
-/
import Mathlib.Topology.Homeomorph.Lemmas
import Mathlib.Topology.Filter
/-!
# Proper maps between topological spaces
This file develops the bas... |
Defs.lean | /-
Copyright (c) 2020 Anne Baanen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro, Alexander Bentkamp, Anne Baanen
-/
import Mathlib.LinearAlgebra.Finsupp.LinearCombination
import Mathlib.Lean.Expr.ExtraRecognizers
/-!
# Linear independ... |
Set.lean | /-
Copyright (c) 2022 Yaël Dillies. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yaël Dillies
-/
import Mathlib.Algebra.Group.Pointwise.Set.Scalar
import Mathlib.Algebra.Module.Defs
import Mathlib.Algebra.Group.Pointwise.Set.Basic
/-!
# Pointwise operations of sets ... |
IntegrationByParts.lean | /-
Copyright (c) 2024 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import Mathlib.Analysis.Calculus.LineDeriv.Basic
import Mathlib.MeasureTheory.Integral.IntegralEqImproper
/-!
# Integration by parts for line derivatives
Let ... |
Exactness.lean | /-
Copyright (c) 2024 Judith Ludwig, Christian Merten. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Judith Ludwig, Christian Merten
-/
import Mathlib.Algebra.Exact
import Mathlib.RingTheory.AdicCompletion.Functoriality
import Mathlib.RingTheory.Filtration
/-!
# Exac... |
Substs.lean | /-
Copyright (c) 2022 Evan Lohn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Evan Lohn, Mario Carneiro
-/
import Mathlib.Init
/-!
# The `substs` macro
The `substs` macro applies the `subst` tactic to a list of hypothesis, in left to right order.
-/
namespace Math... |
Prod.lean | /-
Copyright (c) 2019 Alexander Bentkamp. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Alexander Bentkamp
-/
import Mathlib.Algebra.Module.Prod
import Mathlib.Tactic.Abel
import Mathlib.Algebra.Module.LinearMap.Defs
/-!
# Addition and subtraction are linear maps fr... |
Basic.lean | /-
Copyright (c) 2019 Robert Y. Lewis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Simon Hudon, Kim Morrison, Keeley Hoek, Robert Y. Lewis,
Floris van Doorn, Edward Ayers, Arthur Paulino
-/
import Mathlib.Init
import Lean.Meta.Tactic.Rewrite
import B... |
Connected.lean | /-
Copyright (c) 2024 Andrew Yang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Andrew Yang
-/
import Mathlib.CategoryTheory.IsConnected
import Mathlib.CategoryTheory.Limits.Shapes.WidePullbacks
/-!
# Connected shapes
In this file we prove that various shapes are ... |
alt.v | (* (c) Copyright 2006-2016 Microsoft Corporation and Inria. *)
(* Distributed under the terms of CeCILL-B. *)
From HB Require Import structures.
From mathcomp Require Import ssreflect ssrbool ssrfun eqtype ssrnat seq choice.
From mathcomp Require Import div fintype tupl... |
FourierTransform.lean | /-
Copyright (c) 2022 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import Mathlib.Analysis.SpecialFunctions.Gaussian.GaussianIntegral
import Mathlib.Analysis.Complex.CauchyIntegral
import Mathlib.MeasureTheory.Integral.Pi
impor... |
CHSH.lean | /-
Copyright (c) 2020 Kim Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kim Morrison
-/
import Mathlib.Algebra.CharP.Invertible
import Mathlib.Algebra.Order.Star.Basic
import Mathlib.Algebra.Ring.Regular
import Mathlib.Data.Real.Sqrt
import Mathlib.Data.Real... |
Basic.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 Mathlib.CategoryTheory.Whiskering
import Mathlib.CategoryTheory.Functor.FullyFaithful
import Mathlib.CategoryTheory.NatIso
/-!
# Disjoint union of categories
We ... |
CotangentLocalizationAway.lean | import Mathlib.RingTheory.Extension.Cotangent.LocalizationAway
deprecated_module (since := "2025-05-11")
|
Construction.lean | /-
Copyright (c) 2022 Joël Riou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joël Riou
-/
import Mathlib.CategoryTheory.MorphismProperty.Composition
import Mathlib.CategoryTheory.MorphismProperty.IsInvertedBy
import Mathlib.CategoryTheory.Category.Quiv
/-!
# Const... |
GaussNorm.lean | /-
Copyright (c) 2025 Fabrizio Barroero. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Fabrizio Barroero
-/
import Mathlib.Analysis.Normed.Ring.Basic
import Mathlib.RingTheory.PowerSeries.Order
/-!
# Gauss norm for power series
This file defines the Gauss norm for p... |
LegendreSymbol.lean | /-
Copyright (c) 2022 Michael Stoll. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Michael Stoll
-/
import Mathlib.NumberTheory.LegendreSymbol.JacobiSymbol
/-!
# A `norm_num` extension for Jacobi and Legendre symbols
We extend the `norm_num` tactic so that it can be... |
MultipliableUniformlyOn.lean | /-
Copyright (c) 2025 Chris Birkbeck. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Birkbeck
-/
import Mathlib.Analysis.NormedSpace.FunctionSeries
import Mathlib.Analysis.SpecialFunctions.Log.Summable
import Mathlib.Topology.Algebra.InfiniteSum.UniformOn
import ... |
LocallyFinsupp.lean | /-
Copyright (c) 2025 Stefan Kebekus. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Stefan Kebekus
-/
import Mathlib.Algebra.Group.Subgroup.Defs
import Mathlib.Algebra.Group.Support
import Mathlib.Algebra.Order.Pi
import Mathlib.Topology.Separation.Hausdorff
import Ma... |
Xgcd.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 Mathlib.Tactic.Ring
import Mathlib.Data.PNat.Prime
/-!
# Euclidean algorithm for ℕ
This file sets up a version of the Euclidean algorithm that only works w... |
Defs.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, Yuyang Zhao
-/
import Mathlib.Algebra.Group.Units.Basic
import Mathlib.Algebra.Order.Monoid.Defs
import Mathlib.Algebra... |
AddGroupWithTop.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 Mathlib.Algebra.Order.Monoid.WithTop
import Mathlib.Algebra.Group.Hom.Defs
import Mathlib.Algebra.CharZero.Def... |
NormedSpace.lean | /-
Copyright (c) 2021 Yourong Zang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yourong Zang
-/
import Mathlib.Analysis.Calculus.FDeriv.Add
import Mathlib.Analysis.Calculus.FDeriv.Const
import Mathlib.Analysis.NormedSpace.ConformalLinearMap
/-!
# Conformal Maps
A ... |
finfield.v | (* (c) Copyright 2006-2016 Microsoft Corporation and Inria. *)
(* Distributed under the terms of CeCILL-B. *)
From HB Require Import structures.
From mathcomp Require Import ssreflect ssrfun ssrbool eqtype ssrnat seq choice.
From mathcomp Require Import fintype div tupl... |
Filtered.lean | /-
Copyright (c) 2024 Markus Himmel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Markus Himmel
-/
import Mathlib.CategoryTheory.Limits.FunctorCategory.Basic
import Mathlib.CategoryTheory.Limits.Filtered
/-!
# Functor categories have filtered colimits when the targe... |
PowerSeries.lean | /-
Copyright (c) 2021 Aaron Anderson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Aaron Anderson
-/
import Mathlib.RingTheory.HahnSeries.Multiplication
import Mathlib.RingTheory.PowerSeries.Basic
import Mathlib.RingTheory.MvPowerSeries.NoZeroDivisors
import Mathlib.... |
Center.lean | /-
Copyright (c) 2021 Eric Wieser. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Eric Wieser, Jireh Loreaux
-/
import Mathlib.Algebra.Group.Center
import Mathlib.Algebra.Group.Subsemigroup.Defs
/-!
# Centers of semigroups, as subsemigroups.
## Main definitions
* `S... |
Basic.lean | /-
Copyright (c) 2024 Frédéric Dupuis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Frédéric Dupuis
-/
import Mathlib.Algebra.Order.Star.Prod
import Mathlib.Analysis.SpecialFunctions.Pow.Real
import Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Instance... |
ssreflect.v | (* (c) Copyright 2006-2016 Microsoft Corporation and Inria. *)
(* Distributed under the terms of CeCILL-B. *)
From Corelib Require Export ssreflect.
Global Set SsrOldRewriteGoalsOrder.
Global Set Asymmetric Patterns.
Global Set Bullet Behavior "None".
#[deprecated(sinc... |
perm.v | (* (c) Copyright 2006-2016 Microsoft Corporation and Inria. *)
(* Distributed under the terms of CeCILL-B. *)
From HB Require Import structures.
From mathcomp Require Import ssreflect ssrfun ssrbool eqtype ssrnat seq path.
From mathcomp Require Import choice fintype tup... |
PosPart.lean | /-
Copyright (c) 2024 Jireh Loreaux. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jireh Loreaux
-/
import Mathlib.Analysis.SpecialFunctions.ContinuousFunctionalCalculus.PosPart.Isometric
import Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Basic
/-! # C... |
ContDiff.lean | /-
Copyright (c) 2020 Heather Macbeth. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Heather Macbeth
-/
import Mathlib.Analysis.Calculus.ContDiff.Operations
import Mathlib.Analysis.Calculus.ContDiff.RCLike
import Mathlib.Analysis.Calculus.InverseFunctionTheorem.FDeriv... |
polyrith.lean | /-
Copyright (c) 2022 Dhruv Bhatia. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Dhruv Bhatia, Robert Y. Lewis, Mario Carneiro
-/
import Mathlib.Tactic.Polyrith
-- Except for the `import`, the doc-modules and the following `set_option`, this file is just
-- comments... |
Pairwise.lean | /-
Copyright (c) 2024 Joseph Myers. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Myers
-/
import Mathlib.Data.FunLike.Equiv
import Mathlib.Logic.Pairwise
/-!
# Interaction of equivalences with `Pairwise`
-/
open scoped Function -- required for scoped `on` no... |
Basic.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 Mathlib.Analysis.Calculus.ContDiff.Operations
import Mathlib.Analysis.Normed.Module.Convex
import Mathlib.Analysis.RCLike.TangentCone
import Mathlib.Data... |
Module.lean | /-
Copyright (c) 2024 Heather Macbeth. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Heather Macbeth
-/
import Mathlib.Algebra.Algebra.Tower
import Mathlib.Algebra.BigOperators.GroupWithZero.Action
import Mathlib.Tactic.Ring
import Mathlib.Util.AtomM
/-! # A tactic f... |
Kleitman.lean | /-
Copyright (c) 2022 Yaël Dillies. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yaël Dillies
-/
import Mathlib.Combinatorics.SetFamily.HarrisKleitman
import Mathlib.Combinatorics.SetFamily.Intersecting
/-!
# Kleitman's bound on the size of intersecting families
An... |
Basic.lean | /-
Copyright (c) 2020 Bhavik Mehta. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Bhavik Mehta, Kim Morrison
-/
import Mathlib.CategoryTheory.Subobject.MonoOver
import Mathlib.CategoryTheory.Skeletal
import Mathlib.CategoryTheory.ConcreteCategory.Basic
import Mathlib.... |
finfun.v | (* (c) Copyright 2006-2016 Microsoft Corporation and Inria. *)
(* Distributed under the terms of CeCILL-B. *)
From HB Require Import structures.
From mathcomp Require Import ssreflect ssrfun ssrbool eqtype ssrnat seq choice.
From mathcomp Require Import fintype tuple.
... |
Multiplier.lean | /-
Copyright (c) 2022 Jireh Loreaux. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jireh Loreaux, Jon Bannon
-/
import Mathlib.Analysis.CStarAlgebra.Unitization
import Mathlib.Analysis.CStarAlgebra.Classes
import Mathlib.Analysis.SpecialFunctions.Pow.NNReal
/-!
# Mul... |
ErdosGinzburgZiv.lean | /-
Copyright (c) 2023 Yaël Dillies. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yaël Dillies
-/
import Mathlib.Algebra.BigOperators.Ring.Finset
import Mathlib.Data.Multiset.Fintype
import Mathlib.FieldTheory.ChevalleyWarning
/-!
# The Erdős–Ginzburg–Ziv theorem
Th... |
algebraics_fundamentals.v | (* (c) Copyright 2006-2016 Microsoft Corporation and Inria. *)
(* Distributed under the terms of CeCILL-B. *)
From HB Require Import structures.
From mathcomp Require Import ssreflect ssrbool ssrfun ssrnat eqtype seq choice.
From mathcomp Require Import div fintype path... |
all_order.v | Require Export order.
|
poly.v | (* (c) Copyright 2006-2016 Microsoft Corporation and Inria. *)
(* Distributed under the terms of CeCILL-B. *)
From HB Require Import structures.
From mathcomp Require Import ssreflect ssrbool ssrfun eqtype ssrnat seq choice.
From mathcomp Require Import fintype bigop fi... |
DivergenceTheorem.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 Mathlib.Analysis.BoxIntegral.Basic
import Mathlib.Analysis.BoxIntegral.Partition.Additive
import Mathlib.Analysis.Calculus.FDeriv.Prod
/-!
# Divergence inte... |
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