filename stringlengths 5 42 | content stringlengths 15 319k |
|---|---|
Basic.lean | /-
Copyright (c) 2020 Anatole Dedecker. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Anatole Dedecker, Yaël Dillies
-/
import Mathlib.Analysis.Normed.Group.Basic
/-!
# Ordered normed spaces
In this file, we define classes for fields and groups that are both normed ... |
Notation.lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Simon Hudon, Yury Kudryashov
-/
import Mathlib.Data.Nat.Notation
/-! # Definition and notation for positive natural numbers -/
/-- `ℕ+` is the type of positive natur... |
orderedzmod.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 ssrAC div fintyp... |
TermReduce.lean | import Mathlib.Util.TermReduce
-- On command line, tests format functions with => rather than ↦ without this.
set_option linter.style.setOption false
set_option pp.unicode.fun true
/-- info: (fun x ↦ x) true : Bool -/
#guard_msgs in #check (fun x => x) true
/-- info: true : Bool -/
#guard_msgs in #check beta% (fun x ... |
EqualizerSheafCondition.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.Sites.IsSheafFor
import Mathlib.CategoryTheory.Limits.Types.Shapes
import Mathlib.Tactic.ApplyFun
/-!
# The equalizer diagram sheaf conditi... |
InnerProduct.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.Conformal.NormedSpace
import Mathlib.Analysis.InnerProductSpace.ConformalLinearMap
/-!
# Conformal maps between inner product spaces
A ... |
Subsingleton.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.Order.Filter.CountablyGenerated
import Mathlib.Order.Filter.Prod
import Mathlib.Order.Filter.Ultrafilter.Defs
/-!
# Subsingleton filters
We say that... |
CardinalInter.lean | /-
Copyright (c) 2024 Josha Dekker. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Josha Dekker
-/
import Mathlib.Order.Filter.Tendsto
import Mathlib.Order.Filter.Finite
import Mathlib.Order.Filter.CountableInter
import Mathlib.SetTheory.Cardinal.Regular
import Mathlib... |
IsIso.lean | /-
Copyright (c) 2022 Andrew Yang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Andrew Yang
-/
import Mathlib.AlgebraicGeometry.Morphisms.OpenImmersion
/-!
# Being an isomorphism is local at the target
-/
open CategoryTheory MorphismProperty
namespace AlgebraicG... |
Units.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.Defs
import Mathlib.Algebra.Order.Monoid.Units
/-!
# The units of an ordered com... |
SigmaComparison.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.CompHausLike.Limits
/-!
# The sigma-comparison map
This file defines the map `CompHausLike.sigmaComparison` associated to a pre... |
BigZariski.lean | /-
Copyright (c) 2023 Joël Riou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joël Riou, Adam Topaz
-/
import Mathlib.AlgebraicGeometry.Sites.MorphismProperty
import Mathlib.CategoryTheory.Sites.Canonical
/-!
# The big Zariski site of schemes
In this file, we define... |
Deriv.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, Sébastien Gouëzel,
Rémy Degenne
-/
import Mathlib.Analysis.SpecialFunctions.Pow.Continuity
import Mathlib.Analysis.Special... |
ssrmatching.v | From Corelib Require Export ssrmatching.
|
Basic.lean | /-
Copyright (c) 2024 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov
-/
import Mathlib.MeasureTheory.Group.AEStabilizer
import Mathlib.Dynamics.Ergodic.Ergodic
/-!
# Ergodic group actions
A group action of `G` on a space `α` with meas... |
Boundary.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.Order.BooleanAlgebra.Basic
import Mathlib.Tactic.Common
/-!
# Co-Heyting boundary
The boundary of an element of a co-Heyting algebra is the intersection ... |
Unbundled.lean | /-
Copyright (c) 2022 Damiano Testa. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Damiano Testa, Yuyang Zhao
-/
import Mathlib.Algebra.Order.GroupWithZero.Unbundled.Basic
import Mathlib.Algebra.Order.GroupWithZero.Unbundled.Defs
import Mathlib.Tactic.Linter.Deprecate... |
Lagrange.lean | /-
Copyright (c) 2020 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau, Wrenna Robson
-/
import Mathlib.Algebra.BigOperators.Group.Finset.Pi
import Mathlib.Algebra.Polynomial.FieldDivision
import Mathlib.LinearAlgebra.Vandermonde
import Mathlib.RingT... |
Requests.lean | /-
Copyright (c) 2023 Arthur Paulino. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Arthur Paulino
-/
import Batteries.Data.String.Matcher
import Cache.Hashing
namespace Cache.Requests
open System (FilePath)
/--
Structure to hold repository information with priori... |
MonoidWithZero.lean | /-
Copyright (c) 2019 Amelia Livingston. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Amelia Livingston
-/
import Mathlib.Algebra.GroupWithZero.Hom
import Mathlib.GroupTheory.MonoidLocalization.Basic
import Mathlib.RingTheory.OreLocalization.Basic
import Mathlib.Alge... |
Defs.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
-/
import Mathlib.Algebra.Group.Irreducible.Defs
import Mathlib.Algebra.GroupWithZero.Divisibility
/-!
# Prime elements
In this file we define the pred... |
Pow.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.FDeriv.Pow
/-!
# Derivative of `(f x) ^ n`, `n : ℕ`
In this file we prove that the Fréchet derivative of `fun x => f x ^ n`,
... |
DeriveEncodable.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 Lean.Meta.Transform
import Lean.Meta.Inductive
import Lean.Elab.Deriving.Basic
import Lean.Elab.Deriving.Util
import Mathlib.Logic.Encodable.Basic
import Mathlib.Dat... |
Basic.lean | /-
Copyright (c) 2024 Ali Ramsey. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Ali Ramsey, Kevin Buzzard
-/
import Mathlib.RingTheory.Coalgebra.Basic
import Mathlib.RingTheory.TensorProduct.Basic
/-!
# Bialgebras
In this file we define `Bialgebra`s.
## Main defini... |
Completion.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.Topology.Algebra.GroupCompletion
import Mathlib.Topology.Algebra.Ring.Real
import Mathlib.Topology.MetricSpace.Algebra
import Mathlib.Topology.Me... |
Set.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.Logic.Equiv.Set
import Mathlib.Order.Hom.Basic
import Mathlib.Order.Interval.Set.Defs
import Mathlib.Order.WellFounded
import Mathlib.Tactic.MinImports... |
Antidiagonal.lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Yury Kudryashov
-/
import Mathlib.Data.Finset.NatAntidiagonal
import Mathlib.Data.Finsupp.Multiset
import Mathlib.Data.Multiset.Antidiagonal
/-!
# The `Finsupp` counte... |
BigOperators.lean | /-
Copyright (c) 2024 Joachim Breitner, Yaël Dillies. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joachim Breitner, Yaël Dillies
-/
import Mathlib.Algebra.Order.BigOperators.Group.Finset
import Mathlib.Data.ENat.Lattice
/-!
# Sum of suprema in `ENat`
-/
assert_not... |
Take.lean | /-
Copyright (c) 2024 Quang Dao. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Quang Dao
-/
import Mathlib.Data.Fin.Tuple.Basic
/-!
# Take operations on tuples
We define the `take` operation on `n`-tuples, which restricts a tuple to its first `m` elements.
* `Fin.t... |
rat.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 prime fintype fi... |
Defs.lean | /-
Copyright (c) 2015 Nathaniel Thomas. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Nathaniel Thomas, Jeremy Avigad, Johannes Hölzl, Mario Carneiro
-/
import Mathlib.Algebra.Group.Subgroup.Defs
import Mathlib.GroupTheory.GroupAction.SubMulAction
import Mathlib.Algeb... |
Basic.lean | /-
Copyright (c) 2019 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Johan Commelin
-/
import Mathlib.RingTheory.IntegralClosure.IsIntegral.Basic
/-!
# Minimal polynomials
This file defines the minimal polynomial of an element `x` of an `A... |
Module.lean | /-
Copyright (c) 2020 Heather Macbeth. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Heather Macbeth, Yury Kudryashov, Frédéric Dupuis
-/
import Mathlib.Topology.Algebra.InfiniteSum.Constructions
import Mathlib.Topology.Algebra.Module.Equiv
/-! # Infinite sums in top... |
End.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.Action.Faithful
import Mathlib.Algebra.Order.Group.End
import Mathlib.Order.RelIso.Basic
/-!
# Tautological action by relation automorphisms... |
CondDistrib.lean | /-
Copyright (c) 2023 Rémy Degenne. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Rémy Degenne
-/
import Mathlib.Probability.Kernel.Disintegration.Unique
import Mathlib.Probability.Notation
/-!
# Regular conditional probability distribution
We define the regular con... |
Comap.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.Rename
/-!
# `comap` operation on `MvPolynomial`
This file defines the `comap` function on `MvPolynomial`.
`MvPolynomial.comap`... |
Operations.lean | /-
Copyright (c) 2018 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau
-/
import Mathlib.Algebra.Algebra.Operations
import Mathlib.Algebra.Module.BigOperators
import Mathlib.Data.Fintype.Lattice
import Mathlib.RingTheory.Coprime.Lemmas
import Mathlib... |
Basic.lean | /-
Copyright (c) 2018 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Jens Wagemaker, Aaron Anderson
-/
import Mathlib.Algebra.EuclideanDomain.Basic
import Mathlib.Algebra.EuclideanDomain.Int
import Mathlib.Algebra.GCDMonoid.Nat
import Ma... |
spectral.v | From HB Require Import structures.
From mathcomp Require Import ssreflect ssrfun ssrbool eqtype choice ssrnat.
From mathcomp Require Import seq div fintype bigop ssralg finset fingroup zmodp.
From mathcomp Require Import poly polydiv order ssrnum matrix mxalgebra vector.
From mathcomp Require Import mxpoly mxred sesqui... |
Localization.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.Algebra.Module.LocalizedModule.Submodule
import Mathlib.LinearAlgebra.Dimension.DivisionRing
import Mathlib.RingTheory.IsTensorProduct
import Mathlib.RingThe... |
GiryMonad.lean | /-
Copyright (c) 2019 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
-/
import Mathlib.MeasureTheory.Integral.Lebesgue.Countable
/-!
# The Giry monad
Let X be a measurable space. The collection of all measures on X again
forms a measura... |
toAdditive.lean | import Mathlib.Algebra.Group.Defs
import Mathlib.Lean.Exception
import Mathlib.Tactic.ReduceModChar.Ext
import Qq.MetaM
open Qq Lean Meta Elab Command ToAdditive
set_option autoImplicit true
-- work in a namespace so that it doesn't matter if names clash
namespace Test
-- [note] use the below options for diagnostics:... |
vec_notation.lean | /-
Manually ported from
https://github.com/leanprover-community/mathlib/blob/fee91d74414e681a8b72cb7160e6b5ef0ec2cc0b/test/vec_notation.lean
-/
import Mathlib.Data.Fin.VecNotation
open Lean
open Lean.Meta
open Qq
set_option linter.style.setOption false in
set_option pp.unicode.fun false
/-- info: ![1, 1 + 1, 1 + 1 +... |
Actions.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.Submonoid.DistribMulAction
import Mathlib.GroupTheory.Subgroup.Center
/-!
# Actions by `Subgroup`s
These are just copies of the definitions a... |
Ideals.lean | /-
Copyright (c) 2022 Jireh Loreaux. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jireh Loreaux
-/
import Mathlib.Topology.Algebra.Algebra
import Mathlib.Topology.ContinuousMap.Compact
import Mathlib.Topology.UrysohnsLemma
import Mathlib.Analysis.RCLike.Basic
import ... |
PerpBisector.lean | /-
Copyright (c) 2023 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov, Joseph Myers
-/
import Mathlib.Analysis.InnerProductSpace.Orthogonal
import Mathlib.Analysis.Normed.Group.AddTorsor
/-!
# Perpendicular bisector of a segment
We def... |
KleisliCat.lean | /-
Copyright (c) 2018 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon
-/
import Mathlib.CategoryTheory.Category.Basic
/-!
# The Kleisli construction on the Type category
Define the Kleisli category for (control) monads.
`CategoryTheory/Monad/... |
interval_inference.v | (* mathcomp analysis (c) 2017 Inria and AIST. License: CeCILL-C. *)
From HB Require Import structures.
From mathcomp Require Import ssreflect ssrfun ssrbool ssrnat eqtype choice.
From mathcomp Require Import order ssralg ssrnum ssrint interval.
(**md********************************************************... |
FunctorToTypes.lean | /-
Copyright (c) 2024 Jack McKoen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jack McKoen
-/
import Mathlib.CategoryTheory.Limits.FunctorCategory.Basic
import Mathlib.CategoryTheory.Limits.Shapes.BinaryProducts
import Mathlib.CategoryTheory.Limits.Types.Limits
impo... |
ShortExact.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.Homology.HomotopyCategory.HomologicalFunctor
import Mathlib.Algebra.Homology.HomotopyCategory.ShiftSequence
import Mathlib.Algebra.Homology.HomologySeque... |
Perfection.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 Mathlib.Algebra.CharP.Frobenius
import Mathlib.Algebra.CharP.Pi
import Mathlib.Algebra.CharP.Quotient
import Mathlib.Algebra.CharP.Subring
import Mathlib.Analysis.Specia... |
Basic.lean | /-
Copyright (c) 2020 Kim Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon, Kim Morrison
-/
import Mathlib.CategoryTheory.EqToHom
import Mathlib.CategoryTheory.NatIso
import Mathlib.CategoryTheory.Products.Basic
/-!
# Categories of indexed families... |
inertia.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 div... |
TProd.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 Mathlib.Data.List.Nodup
import Mathlib.Data.Set.Prod
/-!
# Finite products of types
This file defines the product of types over a list. For `l : List ι` ... |
quotient.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 div.
From mathcomp Require Import choice fintype prim... |
Defs.lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Kim Morrison
-/
import Mathlib.Algebra.Notation.Support
import Mathlib.Data.Set.Finite.Basic
/-!
# Type of functions with finite support
For any type `α` and any type... |
rat.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 prime fintype fi... |
Imo2001Q6.lean | /-
Copyright (c) 2021 Sara Díaz Real. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sara Díaz Real
-/
import Mathlib.Algebra.Ring.Associated
import Mathlib.Tactic.Linarith
import Mathlib.Tactic.LinearCombination
/-!
# IMO 2001 Q6
Let $a$, $b$, $c$, $d$ be integers wi... |
Prod.lean | /-
Copyright (c) 2018 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon, Patrick Massot, Eric Wieser
-/
import Mathlib.Algebra.Group.Action.Faithful
import Mathlib.Algebra.Group.Action.Hom
import Mathlib.Algebra.Group.Prod
/-!
# Prod instances fo... |
KrullDimension.lean | /-
Copyright (c) 2024 Jujian Zhang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jujian Zhang, Fangming Li
-/
import Mathlib.Order.KrullDimension
import Mathlib.Topology.Homeomorph.Lemmas
import Mathlib.Topology.Sets.Closeds
/-!
# The Krull dimension of a topologica... |
Common.lean | /-
Copyright (c) 2023 Kim Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kim Morrison
-/
-- First import Aesop, Qq, and Plausible
import Aesop
import Qq
import Plausible
-- Tools for analysing imports, like `#find_home`, `#minimize_imports`, ...
import Impo... |
Associator.lean | /-
Copyright (c) 2017 Kim Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Stephen Morgan, Kim Morrison
-/
import Mathlib.CategoryTheory.Products.Basic
/-!
The associator functor `((C × D) × E) ⥤ (C × (D × E))` and its inverse form an equivalence.
-/
univers... |
Disjoint.lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Jeremy Avigad, Yury Kudryashov, Patrick Massot
-/
import Mathlib.Order.Filter.AtTopBot.Defs
import Mathlib.Order.Interval.Set.Disjoint
/-!
# Disjointness of `Filter.at... |
ExtractLets.lean | /-
Copyright (c) 2023 Kyle Miller. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kyle Miller
-/
import Mathlib.Lean.Expr.Basic
import Mathlib.Tactic.Basic
import Batteries.Tactic.Lint.Misc
import Mathlib.Tactic.Linter.DeprecatedModule
deprecated_module "The extract_l... |
Images.lean | /-
Copyright (c) 2022 Kim Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kim Morrison
-/
import Mathlib.Algebra.Category.ModuleCat.Abelian
import Mathlib.CategoryTheory.Limits.Shapes.Images
/-!
# The category of R-modules has images.
Note that we don't need... |
Basic.lean | /-
Copyright (c) 2017 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Gabriel Ebner
-/
import Mathlib.Data.Int.Cast.Defs
import Mathlib.Algebra.Group.Basic
import Mathlib.Data.Nat.Basic
/-!
# Cast of integers (additional theorems)
This ... |
RiemannZeta.lean | /-
Copyright (c) 2023 David Loeffler. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: David Loeffler
-/
import Mathlib.NumberTheory.LSeries.HurwitzZeta
import Mathlib.Analysis.PSeriesComplex
/-!
# Definition of the Riemann zeta function
## Main definitions:
* `rieman... |
Defs.lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
-/
import Mathlib.Order.BoundedOrder.Basic
import Mathlib.Order.Monotone.Basic
import Mathlib.Tactic.Monotonicity.Attr
import Mathlib.Util.AssertExists
/-!
# Galois con... |
ModifyLast.lean | /-
Copyright (c) 2014 Parikshit Khanna. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Parikshit Khanna, Jeremy Avigad, Leonardo de Moura, Floris van Doorn, Mario Carneiro
-/
import Batteries.Data.List.Basic
import Batteries.Tactic.Alias
import Mathlib.Tactic.TypeStar
... |
Prj.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 Mathlib.Control.Functor.Multivariate
import Mathlib.Data.QPF.Multivariate.Basic
/-!
Projection functors are QPFs. The `n`-ary projection functors on `i` is an `n`-a... |
Gershgorin.lean | /-
Copyright (c) 2023 Xavier Roblot. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Xavier Roblot
-/
import Mathlib.Analysis.Normed.Field.Basic
import Mathlib.LinearAlgebra.Eigenspace.Basic
import Mathlib.LinearAlgebra.Determinant
/-!
# Gershgorin's circle theorem
Th... |
Opens.lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro, Floris van Doorn
-/
import Mathlib.Order.Hom.CompleteLattice
import Mathlib.Topology.Compactness.Bases
import Mathlib.Topology.ContinuousMap.Basic
impor... |
Hom.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.CStarAlgebra.ContinuousFunctionalCalculus.Order
/-! # Properties of C⋆-algebra homomorphisms
Here we collect properties of C⋆-algebra homomor... |
RBMap.lean | /-
Copyright (c) 2019 mathlib community. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Wojciech Nawrocki
-/
import Batteries.Data.RBMap.Basic
import Mathlib.Data.Tree.Basic
/-!
# Binary tree and RBMaps
In this file we define `Tree.ofRBNode`.
This def... |
ReplaceRec.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
-/
import Lean.Expr
import Mathlib.Util.MemoFix
/-!
# ReplaceRec
We define a ... |
Defs.lean | /-
Copyright (c) 2018 Robert Y. Lewis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Robert Y. Lewis, Matthew Robert Ballard
-/
import Mathlib.RingTheory.Multiplicity
import Mathlib.Data.Nat.Factors
/-!
# `p`-adic Valuation
This file defines the `p`-adic valuation o... |
CompTypeclasses.lean | /-
Copyright (c) 2024 Antoine Chambert-Loir. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Antoine Chambert-Loir
-/
import Mathlib.Logic.Function.CompTypeclasses
import Mathlib.Algebra.Group.Hom.Defs
/-!
# Propositional typeclasses on several monoid homs
This file... |
Divisibility.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, Floris van Doorn, Amelia Livingston, Yury Kudryashov,
Neil Strickland, Aaron Anderson
-/
import Mathlib.Algebra.GroupWithZero.Units.Basic
import Mathli... |
Bifunctor.lean | /-
Copyright (c) 2017 Kim Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Stephen Morgan, Kim Morrison
-/
import Mathlib.CategoryTheory.Products.Basic
/-!
# Lemmas about functors out of product categories.
-/
open CategoryTheory
namespace CategoryTheory.Bi... |
MeasurablyGenerated.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 Mathlib.MeasureTheory.MeasurableSpace.Constructions
import Mathlib.Order.Filter.AtTopBot.CompleteLattice
import Mathlib.Order.Filter.AtTopBot.C... |
gfunctor.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 fintype.
From mathcomp Require Import bigop finset fingroup morphism automorphism.
From math... |
UnitsOfNormedAlgebra.lean | /-
Copyright (c) 2021 Nicolò Cavalleri. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Nicolò Cavalleri, Heather Macbeth, Winston Yin
-/
import Mathlib.Geometry.Manifold.Algebra.LieGroup
/-!
# Units of a normed algebra
We construct the Lie group structure on the grou... |
Topology.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.Topology.Algebra.Module.Multilinear.Bounded
import Mathlib.Topology.Algebra.Module.UniformConvergence
import Mathlib.Topology.Algebra.SeparationQuoti... |
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... |
Congruence.lean | /-
Copyright (c) 2024 Jovan Gerbscheid. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jovan Gerbscheid, Newell Jensen
-/
import Mathlib.Topology.MetricSpace.Pseudo.Defs
/-!
# Congruences
This file defines `Congruent`, i.e., the equivalence between indexed families o... |
ToReal.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.Data.Real.Sqrt
import Mathlib.NumberTheory.Zsqrtd.Basic
/-!
# Image of `Zsqrtd` in `ℝ`
This file defines `Zsqrtd.toReal` and related lemmas.
It is in a sep... |
imset2_finset.v | From mathcomp Require Import all_boot.
Set Implicit Arguments.
Unset Strict Implicit.
Unset Printing Implicit Defensive.
Check @imset2_pair.
|
PartitionOfUnity.lean | /-
Copyright (c) 2022 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov
-/
import Mathlib.Topology.PartitionOfUnity
import Mathlib.Analysis.Convex.Combination
/-!
# Partition of unity and convex sets
In this file we prove the following l... |
Subsemiring.lean | /-
Copyright (c) 2024 Christopher Hoskin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Christopher Hoskin
-/
import Mathlib.Algebra.Star.NonUnitalSubsemiring
import Mathlib.Algebra.Ring.Subsemiring.Basic
/-!
# Star subrings
A *-subring is a subring of a *-ring whic... |
ContinuousMaps.lean | /-
Copyright (c) 2024 David Loeffler. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: David Loeffler
-/
import Mathlib.Topology.ContinuousMap.Compact
import Mathlib.Topology.MetricSpace.Ultra.Basic
/-!
# Ultrametric structure on continuous maps
-/
/-- Continuous maps... |
Pointwise.lean | /-
Copyright (c) 2021 Alex J. Best. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Alex J. Best, Yaël Dillies
-/
import Mathlib.Algebra.Field.Defs
import Mathlib.Algebra.Group.Pointwise.Set.Scalar
import Mathlib.Algebra.GroupWithZero.Action.Defs
import Mathlib.Algebra.... |
MonoCoprod.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.ConcreteCategory.Basic
import Mathlib.CategoryTheory.Limits.Preserves.Shapes.BinaryProducts
import Mathlib.CategoryTheory.Limits.Shapes.RegularMon... |
Basic.lean | /-
Copyright (c) 2019 Robert A. Spencer. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Robert A. Spencer, Markus Himmel
-/
import Mathlib.Algebra.Category.Grp.Preadditive
import Mathlib.Algebra.Module.Equiv.Basic
import Mathlib.Algebra.Module.PUnit
import Mathlib.Cate... |
IsPrimePow.lean | /-
Copyright (c) 2022 Bhavik Mehta. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Bhavik Mehta
-/
import Mathlib.Algebra.Order.Ring.Nat
import Mathlib.Order.Nat
import Mathlib.Data.Nat.Prime.Basic
/-!
# Prime powers
This file deals with prime powers: numbers which a... |
NatAntidiagonal.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 Mathlib.Data.Finset.NatAntidiagonal
import Mathlib.Algebra.BigOperators.Group.Finset.Basic
/-!
# Big operators for `NatAntidiagonal`
This file contains theor... |
Lemmas.lean | /-
Copyright (c) 2017 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Mathlib.Data.Ordering.Basic
import Mathlib.Order.Defs.Unbundled
/-!
# Some `Ordering` lemmas
-/
universe u
namespace Ordering
@[simp]
theorem ite... |
BigOperators.lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Yury Kudryashov, Yaël Dillies
-/
import Mathlib.Algebra.BigOperators.GroupWithZero.Action
import Mathlib.Algebra.Module.Defs
import Mathlib.Data.Fintype.BigOperators
/-!
#... |
Computation.lean | /-
Copyright (c) 2017 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
import Mathlib.Data.Nat.Find
import Mathlib.Data.Stream.Init
import Mathlib.Tactic.Common
/-!
# Coinductive formalization of unbounded computations.
This fil... |
Inv.lean | /-
Copyright (c) 2017 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
import Mathlib.Data.Finset.Basic
import Mathlib.Data.Fintype.Defs
/-!
# Computable inverses for injective/surjective functions on finite types
## Main results
* `F... |
Basic.lean | /-
Copyright (c) 2018 Patrick Massot. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Patrick Massot, Johannes Hölzl
-/
import Mathlib.Algebra.Field.Subfield.Defs
import Mathlib.Algebra.Order.Group.Pointwise.Interval
import Mathlib.Analysis.Normed.Ring.Basic
/-!
# Norm... |
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