filename stringlengths 5 42 | content stringlengths 15 319k |
|---|---|
TypeTags.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.Group.Defs
import Mathlib.Algebra.Order.Monoid.TypeTags
import Mathlib.Tactic.Linter.Dep... |
SubmoduleQuotient.lean | /-
Copyright (c) 2024 Yaël Dillies. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yaël Dillies
-/
import Mathlib.LinearAlgebra.Quotient.Defs
import Mathlib.MeasureTheory.MeasurableSpace.Constructions
/-!
# Measurability on the quotient of a module by a submodule
-/
... |
Synonym.lean | /-
Copyright (c) 2021 Yaël Dillies. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yaël Dillies
-/
import Mathlib.Algebra.GroupWithZero.Action.Defs
import Mathlib.Algebra.Order.GroupWithZero.Synonym
import Mathlib.Tactic.Common
/-!
# Actions by and on order synonyms
... |
JointEigenspace.lean | /-
Copyright (c) 2024 Jon Bannon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jon Bannon, Jack Cheverton, Samyak Dhar Tuladhar
-/
import Mathlib.Analysis.InnerProductSpace.Spectrum
import Mathlib.LinearAlgebra.Eigenspace.Pi
import Mathlib.LinearAlgebra.Eigenspace.S... |
all_order.v | Require Export order.
|
monoid.v | From HB Require Import structures.
From mathcomp Require Import ssreflect ssrfun ssrbool eqtype choice ssrnat seq.
From mathcomp Require Import bigop fintype finfun.
(******************************************************************************)
(* Group-like structures ... |
zmod.lean | import Mathlib.Data.ZMod.Defs
-- A Mersenne exponent, chosen so the test below takes no more than a few seconds
-- but should be enough to trigger a stack overflow from a non-tail-recursive implementation
-- of exponentiation by repeated squaring.
def k := 11213
def p := 2^k - 1
#adaptation_note /-- 2025-06-23 in the... |
Algebra.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.Module.Torsion
import Mathlib.Algebra.Algebra.Pi
import Mathlib.RingTheory.AdicCompletion.Basic
/-!
# Algebr... |
TightNormed.lean | /-
Copyright (c) 2025 Rémy Degenne. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Rémy Degenne
-/
import Mathlib.Analysis.InnerProductSpace.PiL2
import Mathlib.MeasureTheory.Measure.Tight
import Mathlib.Order.CompletePartialOrder
/-!
# Tight sets of measures in norme... |
Linear.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.Additive
import Mathlib.CategoryTheory.Linear.LinearFunctor
/-!
# The category of homological complexes is linear
In this file, we define the ... |
CPolynomialDef.lean | /-
Copyright (c) 2023 Sophie Morel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sophie Morel
-/
import Mathlib.Analysis.Analytic.ChangeOrigin
/-! We specialize the theory of analytic functions to the case of functions that admit a
development given by a *finite* fo... |
OfAddContent.lean | /-
Copyright (c) 2025 Rémy Degenne. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Rémy Degenne, Peter Pfaffelhuber
-/
import Mathlib.MeasureTheory.SetSemiring
import Mathlib.MeasureTheory.Measure.AddContent
import Mathlib.MeasureTheory.Measure.Trim
/-!
# Carathéodory... |
DyckWord.lean | /-
Copyright (c) 2024 Jeremy Tan. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Tan
-/
import Batteries.Data.List.Count
import Mathlib.Combinatorics.Enumerative.Catalan
import Mathlib.Tactic.Positivity
/-!
# Dyck words
A Dyck word is a sequence consisting of ... |
Equiv.lean | /-
Copyright (c) 2025 Weiyi Wang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Weiyi Wang
-/
import Mathlib.Algebra.Group.Equiv.Defs
import Mathlib.Algebra.Order.Group.Synonym
/-!
# Add/Mul equivalence for order type synonyms
-/
variable (α : Type*) [Mul α]
/-- `t... |
burnside_app.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 div.
From mathcomp Require Import choice fintype tupl... |
Hashing.lean | /-
Copyright (c) 2023 Arthur Paulino. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Arthur Paulino, Jon Eugster
-/
import Cache.IO
import Lean.Elab.ParseImportsFast
namespace Cache.Hashing
open Lean IO
open System hiding SearchPath
/--
The `HashMemo` contains all ... |
sylow.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 div.
From mathcomp Require Import fintype prime bigop finset fingroup morphism.
From mat... |
Basic.lean | /-
Copyright (c) 2020 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes
-/
import Mathlib.Algebra.Divisibility.Basic
import Mathlib.Algebra.Group.Subgroup.Map
import Mathlib.Algebra.Group.Int.Defs
/-!
# Subgroups generated by an element
## Tag... |
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... |
Rat.lean | /-
Copyright (c) 2020 Anne Baanen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Nathaniel Thomas, Jeremy Avigad, Johannes Hölzl, Mario Carneiro, Anne Baanen,
Frédéric Dupuis, Heather Macbeth
-/
import Mathlib.Algebra.Module.Rat
import Mathlib.Algebra.Module.LinearM... |
VariableChange.lean | /-
Copyright (c) 2024 Jz Pan. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kevin Buzzard, David Kurniadi Angdinata, Jz Pan
-/
import Mathlib.AlgebraicGeometry.EllipticCurve.Weierstrass
/-!
# Change of variables of Weierstrass curves
This file defines admissible lin... |
Instances.lean | /-
Copyright (c) 2018 Patrick Massot. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Patrick Massot, Kevin Buzzard, Kim Morrison, Johan Commelin, Chris Hughes,
Johannes Hölzl, Yury Kudryashov
-/
import Mathlib.Algebra.Group.Hom.Basic
import Mathlib.Algebra.Group.InjS... |
Basic.lean | /-
Copyright (c) 2020 Anne Baanen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Anne Baanen
-/
import Mathlib.Algebra.Group.Commute.Units
import Mathlib.Algebra.Group.Invertible.Defs
import Mathlib.Algebra.Group.Hom.Defs
import Mathlib.Logic.Equiv.Defs
/-!
# Theorems... |
Cardinality.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.Algebra.FreeAlgebra
import Mathlib.SetTheory.Cardinal.Free
/-!
# Cardinality of free algebras
This file contains some results about the cardinality of `FreeAlgebra`,... |
pgroup.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 div.
From mathcomp Require Import fintype bigop finset prime fingroup morphism.
From mat... |
CompTypeclasses.lean | /-
Copyright (c) 2021 Frédéric Dupuis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Frédéric Dupuis, Heather Macbeth
-/
import Mathlib.Algebra.Ring.Equiv
/-!
# Propositional typeclasses on several ring homs
This file contains three typeclasses used in the definitio... |
Primitive.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.Algebra.BigOperators.Finprod
import Mathlib.Data.Nat.Prime.Basic
import Mathlib.Data.Setoid.Partition.Card
import Mathlib.GroupTheory.Gro... |
Basic.lean | /-
Copyright (c) 2020 Eric Wieser. 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.Notation.Pi.Defs
import Mathlib.Logic.Function.Basic
/-!
# Very basic algebraic operations on pi types
This file provi... |
character.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 choice ssrnat seq.
From mathcomp Require Import path div fintype... |
Tauto.lean | /-
Copyright (c) 2018 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon, David Renshaw
-/
import Mathlib.Tactic.CasesM
import Mathlib.Tactic.Core
import Mathlib.Lean.Elab.Tactic.Basic
import Mathlib.Logic.Basic
import Qq
/-!
The `tauto` tactic.
-... |
success_if_fail_with_msg.lean | import Mathlib.Tactic.SuccessIfFailWithMsg
example : True := by
success_if_fail_with_msg "No goals to be solved" trivial; trivial
trivial
example : Nat → Nat → True := by
success_if_fail_with_msg "No goals to be solved"
intro
intro
trivial
trivial
intros; trivial
/--
info: Update with tactic e... |
Equiv.lean | /-
Copyright (c) 2024 Salvatore Mercuri. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Salvatore Mercuri
-/
import Mathlib.Topology.Algebra.Algebra
/-!
# Isomorphisms of topological algebras
This file contains an API for `ContinuousAlgEquiv R A B`, the type of
conti... |
Function.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.Dynamics.Ergodic.Ergodic
import Mathlib.MeasureTheory.Function.AEEqFun
/-!
# Functions invariant under (quasi)ergodic map
In this file we prove tha... |
CongrTheorems.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 Lean.Meta.Tactic.Cleanup
import Lean.Meta.Tactic.Refl
import Mathlib.Logic.IsEmpty
/-!
# Additions to `Lean.Meta.CongrTheorems`
-/
namespace Lean.Meta
initialize ... |
path.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.
(******************************************************************************)
(* ... |
WithTop.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.Unbundled.WithTop
import Mathlib.Algebra.Order.Monoid.Canonical.Defs
/-! # Adjoi... |
frobenius.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 div.
From mathcomp Require Import fintype bigop prime finset fingroup morphism.
From mathcom... |
separable.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 div.
From mathcomp Require Import choice fintype tupl... |
OfBasis.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.MeasureTheory.Measure.Haar.Basic
import Mathlib.Analysis.InnerProductSpace.PiL2
/-!
# Additive Haar measure constructed from a basis
Given a ba... |
Floor.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.MeasureTheory.Constructions.BorelSpace.Order
/-!
# Measurability of `⌊x⌋` etc
In this file we prove that `Int.floor`, `Int.ceil`, `Int.fract`, `Nat... |
UnsetOption.lean | import Mathlib.Tactic.UnsetOption
set_option linter.style.setOption false
set_option linter.unusedTactic false
set_option pp.all true
example : True := by
run_tac
let t : Option Bool := (← Lean.MonadOptions.getOptions).get? `pp.all
-- should be true as set
guard (t == true)
trivial
section
unset_opt... |
CharacterSpace.lean | /-
Copyright (c) 2022 Frédéric Dupuis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Frédéric Dupuis
-/
import Mathlib.Topology.Algebra.Module.WeakDual
import Mathlib.Algebra.Algebra.Spectrum.Basic
import Mathlib.Topology.ContinuousMap.Algebra
import Mathlib.Data.Set.... |
DiracProba.lean | /-
Copyright (c) 2024 Kalle Kytölä. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kalle Kytölä
-/
import Mathlib.Topology.Separation.CompletelyRegular
import Mathlib.MeasureTheory.Measure.ProbabilityMeasure
/-!
# Dirac deltas as probability measures and embedding of ... |
Lattice.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.Data.Set.Lattice.Image
/-!
# Unions and intersections of bounds
Some results about upper and lower bounds over collections of sets.
## Imple... |
ContinuedFractions.lean | /-
Copyright (c) 2022 Michael Stoll. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Michael Geißer, Michael Stoll
-/
import Mathlib.Algebra.ContinuedFractions.Computation.ApproximationCorollaries
import Mathlib.Algebra.ContinuedFractions.Computation.Translations
import... |
Finset.lean | /-
Copyright (c) 2021 Yaël Dillies, Bhavik Mehta. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yaël Dillies, Bhavik Mehta
-/
import Mathlib.Algebra.Group.Action.Pointwise.Finset
import Mathlib.Algebra.GroupWithZero.InjSurj
import Mathlib.Algebra.GroupWithZero.Action.... |
norm_num_ext.lean | /-
Copyright (c) 2021 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
import Mathlib.Tactic.NormNum.BigOperators
import Mathlib.Tactic.NormNum.GCD
import Mathlib.Tactic.NormNum.IsCoprime
import Mathlib.Tactic.NormNum.DivMod
import Mathl... |
SplitBy.lean | /-
Copyright (c) 2024 Violeta Hernández Palacios. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Violeta Hernández Palacios
-/
import Mathlib.Data.List.Chain
/-!
# Split a list into contiguous runs of elements which pairwise satisfy a relation.
This file provides the... |
Basic.lean | /-
Copyright (c) 2023 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin
-/
import Mathlib.AlgebraicTopology.SimplicialSet.KanComplex
/-!
# Quasicategories
In this file we define quasicategories,
a common model of infinity categories.
We s... |
Sheaf.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.Sheaf.Abelian
import Mathlib.AlgebraicGeometry.Modules.Presheaf
/-!
# The category of sheaves of modules over a scheme
In this file... |
Basic.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 Mathlib.Data.Nat.Notation
import Mathlib.Tactic.TypeStar
import Mathlib.Util.CompileInductive
/-!
# Binary tree
Provides binary tree st... |
AbelLimit.lean | /-
Copyright (c) 2024 Jeremy Tan. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Tan
-/
import Mathlib.Analysis.Complex.Basic
import Mathlib.Analysis.SpecificLimits.Normed
import Mathlib.Tactic.Peel
import Mathlib.Tactic.Positivity
/-!
# Abel's limit theorem
I... |
Introduction.lean | /-
Copyright (c) 2018 Patrick Massot. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Patrick Massot, Kyle Miller
-/
/-! # Introduction to the conversion mode tactic
Inside a tactic block, one can use the `conv` tactic to enter conversion
mode. This mode allows one to... |
Sublists.lean | /-
Copyright (c) 2019 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
import Mathlib.Data.Nat.Choose.Basic
import Mathlib.Data.List.FinRange
import Mathlib.Data.List.Perm.Basic
import Mathlib.Data.List.Lex
import Mathlib.Data.List.Induc... |
Basic.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.HomCongr
import Mathlib.CategoryTheory.Comma.Over.Basic
import Mathlib.Tactic.CategoryTheory.Elementwise
/-!
# Computation of `Over A` fo... |
Opposite.lean | /-
Copyright (c) 2020 Eric Wieser. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Eric Wieser
-/
import Mathlib.Algebra.GroupWithZero.Action.Opposite
import Mathlib.Algebra.Module.Defs
import Mathlib.Algebra.Ring.Opposite
/-!
# Module operations on `Mᵐᵒᵖ`
This file c... |
ComonEquivalence.lean | /-
Copyright (c) 2024 Amelia Livingston. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Amelia Livingston
-/
import Mathlib.Algebra.Category.CoalgCat.Basic
import Mathlib.Algebra.Category.ModuleCat.Monoidal.Symmetric
import Mathlib.CategoryTheory.Monoidal.Braided.Oppos... |
Bifunctor.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.Control.Functor
import Mathlib.Tactic.Common
/-!
# Functors with two arguments
This file defines bifunctors.
A bifunctor is a function `F : Type* → Type* ... |
slow_instances.lean | import Mathlib
variable {K : Type*} [Field K] {x : K}
-- This one is dismally slow:
-- #time
-- #synth NoZeroSMulDivisors ℕ K
set_option maxHeartbeats 3000 in -- uses under 2000 as of 2025-08-06
/--
error: failed to synthesize
Lean.Grind.NoNatZeroDivisors K
Hint: Additional diagnostic information may be available... |
Archimedean.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 Mathlib.Algebra.Order.Archimedean.Basic
import Mathlib.Order.Filter.AtTopBot.Group
import Mathlib.Order.Filter.CountablyGenerated
import Mathl... |
Basic.lean | /-
Copyright (c) 2021 Alex Kontorovich and Heather Macbeth and Marc Masdeu. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Alex Kontorovich, Heather Macbeth, Marc Masdeu
-/
import Mathlib.Analysis.Complex.Basic
/-!
# The upper half plane
This file defines `UpperHalfP... |
Monoidal.lean | /-
Copyright (c) 2024 Dagur Asgeirsson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Dagur Asgeirsson, Jack McKoen, Joël Riou
-/
import Mathlib.Algebra.Category.ModuleCat.Presheaf
import Mathlib.Algebra.Category.ModuleCat.Monoidal.Basic
/-!
# The monoidal category s... |
Basic.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.Algebra.Order.BigOperators.Group.Finset
import Mathlib.Algebra.Order.Interval.F... |
Defs.lean | /-
Copyright (c) 2024 Yudai Yamazaki. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yudai Yamazaki
-/
import Mathlib.GroupTheory.GroupAction.ConjAct
import Mathlib.GroupTheory.SemidirectProduct
/-!
# Group Extensions
This file defines extensions of multiplicative a... |
Diam.lean | /-
Copyright (c) 2024 Rida Hamadani. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Rida Hamadani
-/
import Mathlib.Combinatorics.SimpleGraph.Metric
/-!
# Diameter of a simple graph
This module defines the eccentricity of vertices, the diameter, and the radius of a s... |
extraspecial.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 div.
From mathcomp Require Import choice fintype bigop finset prime binomial.
From mathc... |
PartialOrder.lean | /-
Copyright (c) 2016 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Batteries.Tactic.Trans
import Mathlib.Tactic.ExtendDoc
import Mathlib.Tactic.Lemma
import Mathlib.Tactic.SplitIfs
import Mathlib.Tactic.TypeStar
/-!... |
Final.lean | /-
Copyright (c) 2025 Joël Riou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joël Riou
-/
import Mathlib.CategoryTheory.Filtered.Final
/-!
# Final functors between intervals
-/
universe u
instance Set.Ici.subtype_functor_final {J : Type u} [LinearOrder J] (j : J... |
cyclotomic.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 path.
From mathcomp Require Import div choice fintype tuple finfun bigop prime.
From mat... |
Connected.lean | /-
Copyright (c) 2023 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import Mathlib.Analysis.Convex.Contractible
import Mathlib.Analysis.Convex.Topology
import Mathlib.Analysis.Normed.Module.Convex
import Mathlib.LinearAlgebra.Di... |
Discriminant.lean | /-
Copyright (c) 2021 Riccardo Brasca. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Riccardo Brasca
-/
import Mathlib.Algebra.Order.BigOperators.Group.LocallyFinite
import Mathlib.RingTheory.Norm.Basic
import Mathlib.RingTheory.Trace.Basic
/-!
# Discriminant of a fa... |
Holder.lean | /-
Copyright (c) 2025 Jireh Loreaux. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jireh Loreaux
-/
import Mathlib.MeasureTheory.Integral.Bochner.Basic
/-! # Continuous bilinear maps on `MeasureTheory.Lp` spaces
Given a continuous bilinear map `B : E →L[𝕜] F →L[𝕜]... |
NormedSpace.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.ContMDiff.NormedSpace
import Mathlib.Geometry.Manifold.MFDeriv.FDeriv
/-! ## Equivalence of manifold differe... |
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, Floris van Doorn, Sébastien Gouëzel, Alex J. Best
-/
import Mathlib.Algebra.Group.Defs
/-!
# Sums and products from lists
This file provides basic definitions for `Li... |
Constructions.lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Devon Tuma
-/
import Mathlib.Probability.ProbabilityMassFunction.Monad
import Mathlib.Control.ULiftable
/-!
# Specific Constructions of Probability Mass Functions
Thi... |
Intersectivity.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.MeasureTheory.Integral.Average
/-!
# Bergelson's intersectivity lemma
This file proves the Bergelson intersectivity lemma: In a finite measure space, a s... |
Max.lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
import Mathlib.Data.Finset.Card
import Mathlib.Data.Finset.Lattice.Fold
/-!
# Maximum and minimum of finite sets
-/
assert_not_exists OrderedCommMonoid MonoidWithZe... |
Star.lean | /-
Copyright (c) 2023 Jireh Loreaux. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jireh Loreaux
-/
import Mathlib.Data.NNReal.Defs
import Mathlib.Data.Real.Star
/-!
# The non-negative real numbers are a `*`-ring, with the trivial `*`-structure
-/
assert_not_exists ... |
FinitePresentation.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.Data.Finite.Sum
import Mathlib.RingTheory.FiniteType
import Mathlib.RingTheory.Finiteness.Ideal
import Mathlib.RingTheory.Ideal.Quotient.Operations
imp... |
Graph.lean | /-
Copyright (c) 2022 Aaron Anderson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Aaron Anderson
-/
import Mathlib.ModelTheory.Satisfiability
import Mathlib.Combinatorics.SimpleGraph.Basic
/-!
# First-Order Structures in Graph Theory
This file defines first-order ... |
Hom.lean | /-
Copyright (c) 2024 Amelia Livingston. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau, Yury Kudryashov, Amelia Livingston
-/
import Mathlib.RingTheory.Coalgebra.Hom
import Mathlib.RingTheory.Bialgebra.Basic
/-!
# Homomorphisms of `R`-bialgebras
This file ... |
Hom.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.Hom.BoundedLattice
/-!
# Heyting algebra morphisms
A Heyting homomorphism between two Heyting algebras is a bounded lattice homomorphism that prese... |
SpectralNorm.lean | /-
Copyright (c) 2025 María Inés de Frutos-Fernández. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: María Inés de Frutos-Fernández
-/
import Mathlib.Analysis.Normed.Operator.BoundedLinearMaps
import Mathlib.Analysis.Normed.Unbundled.InvariantExtension
import Mathlib.A... |
Adjunction.lean | /-
Copyright (c) 2021 Adam Topaz. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Adam Topaz, Joël Riou
-/
import Mathlib.CategoryTheory.Adjunction.Restrict
import Mathlib.CategoryTheory.Adjunction.Whiskering
import Mathlib.CategoryTheory.Sites.PreservesSheafification
... |
Basic.lean | /-
Copyright (c) 2019 Zhouhang Zhou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Zhouhang Zhou, Sébastien Gouëzel, Frédéric Dupuis
-/
import Mathlib.Algebra.BigOperators.Field
import Mathlib.Analysis.Complex.Basic
import Mathlib.Analysis.InnerProductSpace.Defs
/-!
... |
DisjointCoproduct.lean | /-
Copyright (c) 2021 Bhavik Mehta. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Bhavik Mehta
-/
import Mathlib.CategoryTheory.Limits.Shapes.BinaryProducts
import Mathlib.CategoryTheory.Limits.Shapes.Pullback.HasPullback
/-!
# Disjoint coproducts
Defines disjoint c... |
Prod.lean | /-
Copyright (c) 2023 Kim Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kim Morrison
-/
import Mathlib.Algebra.Order.Sub.Defs
import Mathlib.Algebra.Notation.Pi.Defs
import Mathlib.Algebra.Notation.Prod
/-!
# Products of `OrderedSub` types.
-/
assert_not_e... |
LocalizationLocalization.lean | /-
Copyright (c) 2018 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau, Mario Carneiro, Johan Commelin, Amelia Livingston, Anne Baanen
-/
import Mathlib.RingTheory.Localization.AtPrime.Basic
import Mathlib.RingTheory.Localization.Basic
import Mathlib... |
Convert.lean | /-
Copyright (c) 2022 Kim Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kim Morrison, Kyle Miller
-/
import Mathlib.Tactic.CongrExclamation
/-!
# The `convert` tactic.
-/
open Lean Meta Elab Tactic
/--
Close the goal `g` using `Eq.mp v e`,
where `v` is a ... |
HasLocalization.lean | /-
Copyright (c) 2023 Joël Riou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joël Riou
-/
import Mathlib.CategoryTheory.Localization.Predicate
/-! Morphism properties equipped with a localized category
If `C : Type u` is a category (with `[Category.{v} C]`), and
`... |
CardQuotient.lean | /-
Copyright (c) 2025 Xavier Roblot. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Anne Baanen, Alex J. Best, Xavier Roblot
-/
import Mathlib.Data.Int.Associated
import Mathlib.Data.Int.NatAbs
import Mathlib.LinearAlgebra.Determinant
import Mathlib.LinearAlgebra.FreeM... |
IsFreeGroup.lean | /-
Copyright (c) 2021 David Wärn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: David Wärn, Eric Wieser, Joachim Breitner
-/
import Mathlib.GroupTheory.FreeGroup.Basic
/-!
# Free groups structures on arbitrary types
This file defines the notion of free basis of a gr... |
all_boot.v | Require Export ssreflect.
Require Export ssrbool.
Require Export ssrfun.
Require Export eqtype.
Require Export ssrnat.
Require Export seq.
Require Export choice.
Require Export monoid.
Require Export nmodule.
Require Export path.
Require Export div.
Require Export fintype.
Require Export fingraph.
Require Export tuple.... |
Coeff.lean | /-
Copyright (c) 2020 Aaron Anderson, Jalex Stark. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Aaron Anderson, Jalex Stark
-/
import Mathlib.Algebra.Polynomial.Expand
import Mathlib.Algebra.Polynomial.Laurent
import Mathlib.Algebra.Polynomial.Eval.SMul
import Mathli... |
Maschke.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.Group.TypeTags.Finite
import Mathlib.Algebra.MonoidAlgebra.Basic
import Mathlib.LinearAlgebra.Basis.VectorSpace
import Mathlib.RingTheory.SimpleMod... |
Imo2001Q4.lean | /-
Copyright (c) 2025 Jeremy Tan. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Tan
-/
import Mathlib.Algebra.BigOperators.Intervals
import Mathlib.Data.Int.Interval
import Mathlib.GroupTheory.Perm.Fin
/-!
# IMO 2001 Q4
Let $n > 1$ be an odd integer and let $... |
output.v | From mathcomp Require Import
all_boot
all_order
all_algebra
all_field
all_character
all_fingroup
all_solvable.
Open Scope group_scope.
Check @cyclic_pgroup_Aut_structure.
|
Projective.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.Module.Projective
import Mathlib.RingTheory.Finiteness.Cardinality
/-!
# Finite and projective modules
-/
open Function (Surjective)
namesp... |
fingroup.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 div path... |
PerfectClosure.lean | /-
Copyright (c) 2018 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau, Yury Kudryashov
-/
import Mathlib.Algebra.CharP.Lemmas
import Mathlib.FieldTheory.Perfect
/-!
# The perfect closure of a characteristic `p` ring
## Main definitions
- `Perfec... |
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