filename stringlengths 5 42 | content stringlengths 15 319k |
|---|---|
Basic.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.AlgCat.Basic
import Mathlib.RingTheory.Bialgebra.Equiv
/-!
# The category of bia... |
ApplyWith.lean | /-
Copyright (c) 2022 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
import Mathlib.Init
import Lean.Elab.Eval
import Lean.Elab.Tactic.ElabTerm
/-!
# The `applyWith` tactic
The `applyWith` tactic is like `apply`, but allows passing a ... |
presentation.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.
From mathcomp Require Import fintype finset fingroup morphism.
(**********************... |
Find.lean | /-
Copyright (c) 2022 Yakov Pechersky. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yakov Pechersky, Floris van Doorn
-/
import Mathlib.Data.Nat.Find
import Mathlib.Data.PNat.Basic
/-!
# Explicit least witnesses to existentials on positive natural numbers
Implement... |
Regular.lean | /-
Copyright (c) 2021 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel, Floris van Doorn, Yury Kudryashov
-/
import Mathlib.MeasureTheory.Constructions.BorelSpace.Basic
import Mathlib.MeasureTheory.Group.MeasurableEquiv
/-!
# Regular... |
DomCoprod.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.Finite
import Mathlib.GroupTheory.Coset.Card
import Mathlib.GroupTheory.GroupAction.Quotient
import Mathlib.GroupTheory.Perm.Basic
imp... |
Pi.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.Lattice.Prod
import Mathlib.Data.Finset.Pi
/-!
# Lattice operations on finsets of functions
This file is concerned with folding binary la... |
Core.lean | /-
Copyright (c) 2020 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel, Mario Carneiro
-/
import Qq.MetaM
import Mathlib.Logic.Nontrivial.Basic
import Mathlib.Tactic.Attr.Core
/-! # The `nontriviality` tactic. -/
universe u
namespa... |
Topology.lean | /-
Copyright (c) 2020 Jujian Zhang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jujian Zhang, Johan Commelin
-/
import Mathlib.RingTheory.GradedAlgebra.Homogeneous.Ideal
import Mathlib.Topology.Category.TopCat.Basic
import Mathlib.Topology.Sets.Opens
import Mathlib.... |
PairwiseIntersections.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.CategoryTheory.Category.Pairwise
import Mathlib.CategoryTheory.Limits.Constructions.BinaryProducts
import Mathlib.CategoryTheory.Limits.Final
import Mathli... |
Topology.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.Order.Ring.Idempotent
import Mathlib.Order.Heyting.Hom
import Mathlib.RingTheory.Finiteness.Ideal
import Mathlib.RingTheory.Ideal.MinimalPrime.... |
ChangeOfRings.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.ChangeOfRings
import Mathlib.Algebra.Category.ModuleCat.Presheaf
/-!
# Change of presheaf of rings
In this file, we define the restr... |
CountHeartbeats.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.Init
import Lean.Util.Heartbeats
import Lean.Meta.Tactic.TryThis
/-!
Defines a command wrapper that prints the number of heartbeats used in the enclosed c... |
choice.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.
(**************************************************... |
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... |
Normalize.lean | /-
Copyright (c) 2024 Yuma Mizuno. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yuma Mizuno
-/
import Mathlib.Tactic.CategoryTheory.Coherence.Normalize
import Mathlib.Tactic.CategoryTheory.Monoidal.Datatypes
/-!
# Normalization of morphisms in monoidal categories
T... |
Abs.lean | /-
Copyright (c) 2024 Etienne Marion. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Etienne Marion
-/
import Mathlib.Analysis.Calculus.Deriv.Add
import Mathlib.Analysis.InnerProductSpace.Calculus
/-!
# Derivative of the absolute value
This file compiles basic deriva... |
Between.lean | /-
Copyright (c) 2022 Joseph Myers. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Myers
-/
import Mathlib.Algebra.CharP.Invertible
import Mathlib.Algebra.Order.Interval.Set.Group
import Mathlib.Analysis.Convex.Basic
import Mathlib.Analysis.Convex.Segment
import... |
ProjIcc.lean | /-
Copyright (c) 2020 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov, Patrick Massot
-/
import Mathlib.Data.Set.Function
import Mathlib.Order.Interval.Set.OrdConnected
/-!
# Projection of a line onto a closed interval
Given a linearly... |
choose_reduction.lean | import Mathlib.Data.Finset.Basic
/-!
Tests that `List.choose` and friends all reduce appropriately.
Previously this was blocked by reducibility issues with `And.rec`
(https://leanprover.zulipchat.com/#narrow/stream/236446-Type-theory/topic/And.2Erec/near/398483665).
-/
namespace List
lemma foo : ∃ x, x ∈ ([0,3] : Li... |
Bounds.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.Order.Bounds.Basic
import Mathlib.Algebra.Order.Monoid.Defs
import Mathlib.Algebra.Order.Group.Unbundled.Basic
/-!
# Least upper boun... |
Prod.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.Order.Monoid.Prod
import Mathlib.Algebra.Order.Ring.Defs
import Mathlib.Algebra.Ring.Prod
/-!
# Products of ordered rings
-/
variable {α β : Type... |
Preimmersion.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.AlgebraicGeometry.Morphisms.UnderlyingMap
import Mathlib.AlgebraicGeometry.Morphisms.SurjectiveOnStalks
/-!
# Preimmersions of schemes
A morphism of schem... |
OpenPos.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.MeasureTheory.Constructions.BorelSpace.Basic
import Mathlib.MeasureTheory.Measure.Typeclasses.NoAtoms
import Mathlib.MeasureTheory.Measure.Typeclasse... |
gseries.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 fintype bigop finset fingroup morphism.
From mathcomp... |
qfpoly.v | From HB Require Import structures.
From mathcomp Require Import ssreflect ssrfun ssrbool eqtype ssrnat seq choice.
From mathcomp Require Import fintype tuple div bigop binomial finset finfun.
From mathcomp Require Import ssralg countalg finalg poly polydiv qpoly perm.
From mathcomp Require Import fingroup falgebra fiel... |
test_guard.v | From mathcomp Require Import all_boot.
Set Implicit Arguments.
Unset Strict Implicit.
Unset Printing Implicit Defensive.
Inductive tree := Node { children : seq tree }.
Inductive ptree (T : Type) := singleton of T | branch of list (ptree T).
(* has *)
Fixpoint tree_has (T : Type) (p : pred T) (t : ptree T) : bool :... |
Vector.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.Fintype.Pi
import Mathlib.Data.Sym.Basic
/-!
# `Vector α n` and `Sym α n` are fintypes when `α` is.
-/
open List (Vector)
variable {α : Type*}
... |
OverClass.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.Tactic.CategoryTheory.Reassoc
import Mathlib.CategoryTheory.Comma.Over.Basic
/-!
# Typeclasses for `S`-objects and `S`-morphisms
**Warning**: This is not u... |
FlexibleLinter.lean | /-
Copyright (c) 2024 Damiano Testa. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Damiano Testa
-/
import Lean.Elab.Command
import Mathlib.Tactic.Linter.Header
/-!
# The "flexible" linter
The "flexible" linter makes sure that a "rigid" tactic (such as `rw`) does n... |
Basic.lean | /-
Copyright (c) 2025 Oliver Nash. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Oliver Nash
-/
import Mathlib.Algebra.Lie.OfAssociative
import Mathlib.LinearAlgebra.RootSystem.CartanMatrix
/-!
# Geck's construction of a Lie algebra associated to a root system
This ... |
Vitali.lean | /-
Copyright (c) 2021 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import Mathlib.MeasureTheory.Constructions.BorelSpace.Basic
import Mathlib.MeasureTheory.Covering.VitaliFamily
import Mathlib.Data.Set.Pairwise.Lattice
/-!
# V... |
ModEq.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.Algebra.Order.Group.Nat
import Mathlib.Algebra.Order.GroupWithZero.Canonical
import Mathlib.Algebra.Order.Ring.Basic
import Mathlib.Algebra.Ring.Divi... |
Core.lean | /-
Copyright (c) 2024 Tomáš Skřivan. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Tomáš Skřivan
-/
import Mathlib.Tactic.FunProp.Theorems
import Mathlib.Tactic.FunProp.ToBatteries
import Mathlib.Tactic.FunProp.Types
import Mathlib.Lean.Expr.Basic
import Batteries.Tac... |
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********************************************************... |
Basic.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.GroupWithZero.Hom
import Mathlib.Algebra.Order.Group.Abs
import Mathlib.Algebra.Ring.Defs
/-!
# Algebraic order homomorphism classes
This file de... |
SuccPred.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.Order.Ring.Int
import Mathlib.Data.Nat.SuccPred
/-!
# Successors and predecessors of integers
In this file, we show that `ℤ` is both an archimede... |
Fractions.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.DerivedCategory.HomologySequence
import Mathlib.Algebra.Homology.Embedding.CochainComplex
/-! # Calculus of fractions in the derived category
... |
Composition.lean | /-
Copyright (c) 2022 Andrew Yang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Andrew Yang, Joël Riou
-/
import Mathlib.CategoryTheory.MorphismProperty.Basic
/-!
# Compatibilities of properties of morphisms with respect to composition
Given `P : MorphismProperty C... |
CompleteMetrizable.lean | /-
Copyright (c) 2019 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel, Yury Kudryashov
-/
import Mathlib.Analysis.SpecificLimits.Basic
import Mathlib.Tactic.Finiteness
import Mathlib.Topology.Metrizable.Uniformity
/-!
# First Baire ... |
Grothendieck.lean | /-
Copyright (c) 2025 Calle Sönne. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Calle Sönne, Fernando Chu, Christian Merten
-/
import Mathlib.CategoryTheory.Bicategory.Grothendieck
import Mathlib.CategoryTheory.FiberedCategory.HasFibers
/-!
# The Grothendieck const... |
FinRange.lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Kenny Lau, Kim Morrison, Alex Keizer
-/
import Mathlib.Data.List.OfFn
import Batteries.Data.List.Perm
import Mathlib.Data.List.Nodup
/-!
# Lists of elements of `Fin n`... |
ULift.lean | /-
Copyright (c) 2025 Eric Wieser. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Eric Wieser
-/
import Mathlib.Algebra.Group.ULift
import Mathlib.Algebra.Regular.SMul
/-!
# Results about `IsRegular` and `ULift`
-/
universe u v
variable {α} {R : Type v}
namespace U... |
Monoid.lean | /-
Copyright (c) 2020 Nicolò Cavalleri. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Nicolò Cavalleri
-/
import Mathlib.Geometry.Manifold.ContMDiffMap
import Mathlib.Geometry.Manifold.MFDeriv.Basic
/-!
# `C^n` monoid
A `C^n` monoid is a monoid that is also a `C^n` m... |
SpreadingOut.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.AlgebraicGeometry.Morphisms.FiniteType
import Mathlib.AlgebraicGeometry.Noetherian
import Mathlib.AlgebraicGeometry.Stalk
import Mathlib.AlgebraicGeometry.Pr... |
Flat.lean | /-
Copyright (c) 2024 Christian Merten. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Christian Merten
-/
import Mathlib.AlgebraicGeometry.Morphisms.RingHomProperties
import Mathlib.AlgebraicGeometry.Morphisms.QuasiCompact
import Mathlib.AlgebraicGeometry.Morphisms.Af... |
Tilde.lean | /-
Copyright (c) 2024 Weihong Xu. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kevin Buzzard, Johan Commelin, Amelia Livingston, Sophie Morel, Jujian Zhang, Weihong Xu
-/
import Mathlib.Algebra.Module.LocalizedModule.Basic
import Mathlib.AlgebraicGeometry.StructureS... |
ssrAC.v | From HB Require Import structures.
From Corelib Require Import PosDef.
(* use #[warning="-hiding-delimiting-key"] attribute once we require Coq 8.18 *)
(* (the warning was completely removed in 9.0) *)
Set Warnings "-hiding-delimiting-key".
From mathcomp Require Import ssreflect ssrbool ssrfun ssrnat eqtype seq bigop.
... |
ComputeDegree.lean | /-
Copyright (c) 2023 Damiano Testa. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Damiano Testa
-/
import Mathlib.Algebra.Polynomial.Degree.Lemmas
/-!
# `compute_degree` and `monicity`: tactics for explicit polynomials
This file defines two related tactics: `comp... |
Minpoly.lean | /-
Copyright (c) 2020 Alexander Bentkamp. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Alexander Bentkamp
-/
import Mathlib.LinearAlgebra.Eigenspace.Basic
import Mathlib.FieldTheory.Minpoly.Field
/-!
# Eigenvalues are the roots of the minimal polynomial.
## Tags
e... |
NatFactorial.lean | /-
Copyright (c) 2023 Sebastian Zimmer. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sebastian Zimmer
-/
import Mathlib.Data.Nat.Factorial.Basic
import Mathlib.Tactic.NormNum
/-! # `norm_num` extensions for factorials
Extensions for `norm_num` that compute `Nat.fac... |
classfun.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 path.
From mathcomp Require Import div choice fintype... |
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.FieldTheory.Galois.Basic
import Mathlib.FieldTheory.Minpoly.MinpolyDiv
import Mathlib.FieldTheory.IsAlgClosed.AlgebraicClosure
import Mathlib.FieldTheory.Pur... |
primitive_action.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.
From mathcomp Require Import div seq fintype tuple finset.
From mathcomp Require Import fin... |
Basic.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.Data.Option.Defs
import Mathlib.Control.Functor
import Batteries.Data.List.Basic
import Mathlib.Control.Basic
/-!
# Traversable type class
Type classes for... |
Exact.lean | /-
Copyright (c) 2020 Markus Himmel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Markus Himmel, Adam Topaz, Johan Commelin, Jakob von Raumer
-/
import Mathlib.Algebra.Homology.ImageToKernel
import Mathlib.Algebra.Homology.ShortComplex.Exact
import Mathlib.CategoryTh... |
Algebra.lean | /-
Copyright (c) 2019 Kim Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kim Morrison, Bhavik Mehta
-/
import Mathlib.CategoryTheory.Monad.Basic
import Mathlib.CategoryTheory.Adjunction.Basic
import Mathlib.CategoryTheory.Functor.EpiMono
/-!
# Eilenberg-Moor... |
IsPrincipal.lean | /-
Copyright (c) 2024 Xavier Roblot. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Xavier Roblot
-/
import Mathlib.RingTheory.PrincipalIdealDomain
/-!
# Principal Ideals
This file deals with the set of principal ideals of a `CommRing R`.
## Main definitions and res... |
CircleAddChar.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.Analysis.SpecialFunctions.Complex.Circle
import Mathlib.NumberTheory.LegendreSymbol.AddCharacter
import Mathlib.RingTheory.RootsOfUnity.AlgebraicallyCl... |
Chebyshev.lean | /-
Copyright (c) 2023 Mantas Bakšys, Yaël Dillies. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mantas Bakšys, Yaël Dillies
-/
import Mathlib.Algebra.Order.Monovary
import Mathlib.Algebra.Order.Rearrangement
import Mathlib.GroupTheory.Perm.Cycle.Basic
import Mathlib.... |
EGauge.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.Analysis.Seminorm
import Mathlib.GroupTheory.GroupAction.Pointwise
/-!
# The Minkowski functional, normed field version
In this file we define `(eg... |
ConvergenceRadius.lean | /-
Copyright (c) 2020 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel, Yury Kudryashov
-/
import Mathlib.Analysis.Calculus.FormalMultilinearSeries
import Mathlib.Analysis.SpecificLimits.Normed
/-!
# Radius of convergence of a power ... |
algnum.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 path.
From mathcomp Require Import div choice fintype... |
Lemmas.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.Order.GroupWithZero.Finset
import Mathlib.Analysis.Normed.Group.Bounded
import Mathlib.Analysis.Normed.Group.Int
import Mathlib... |
Infsep.lean | /-
Copyright (c) 2022 Wrenna Robson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Wrenna Robson
-/
import Mathlib.Topology.MetricSpace.Basic
/-!
# Infimum separation
This file defines the extended infimum separation of a set. This is approximately dual to the
diame... |
prime.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 path.
From mathcomp Require Import choice fintype div bigop.
(*************************... |
Basic.lean | /-
Copyright (c) 2017 Kevin Buzzard. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kevin Buzzard, Mario Carneiro
-/
import Mathlib.Algebra.Ring.CharZero
import Mathlib.Algebra.Star.Basic
import Mathlib.Data.Real.Basic
import Mathlib.Order.Interval.Set.UnorderedInterva... |
Functor.lean | /-
Copyright (c) 2019 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin, Simon Hudon, Kim Morrison
-/
import Mathlib.Control.Bifunctor
import Mathlib.Logic.Equiv.Defs
/-!
# Functor and bifunctors can be applied to `Equiv`s.
We define
```le... |
DeriveTraversable.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.Traversable.Lemmas
import Lean.Elab.Match
import Lean.Elab.Deriving.Basic
import Lean.Elab.PreDefinition.Main
/-!
# Deriving handler for `Traversabl... |
ApplyAt.lean | import Mathlib.Tactic.ApplyAt
import Mathlib.Algebra.Group.Basic
import Mathlib.Data.Real.Basic
example {α β : Type*} (f : α → β) (a : α) : β := by
apply f at a
guard_hyp a :ₛ β
exact a
/-- `apply at` cannot clear mvarid if still used. -/
example {α : Type} (γ : α → Type) (a : α) (f : α → γ a) : γ a := by
app... |
Orzech.lean | /-
Copyright (c) 2018 Mario Carneiro, Kevin Buzzard. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Kevin Buzzard
-/
import Mathlib.Algebra.Module.Submodule.IterateMapComap
import Mathlib.Order.PartialSups
import Mathlib.RingTheory.Noetherian.Basic
impo... |
Clique.lean | /-
Copyright (c) 2022 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.Combinatorics.SimpleGraph.Paths
import Mathlib.Combinatorics.SimpleGraph.Operations
import Mathlib.Data.Finset.Pairwise
import ... |
Ext.lean | /-
Copyright (c) 2024 Raghuram Sundararajan. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Raghuram Sundararajan
-/
import Mathlib.Algebra.Ring.Defs
import Mathlib.Algebra.Group.Ext
/-!
# Extensionality lemmas for rings and similar structures
In this file we prove e... |
Lat.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.Category.PartOrd
import Mathlib.Order.Hom.Lattice
/-!
# The category of lattices
This defines `Lat`, the category of lattices.
Note that `Lat` doe... |
Map.lean | /-
Copyright (c) 2020 Kexing Ying. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kexing Ying
-/
import Mathlib.Algebra.Group.Subgroup.Lattice
import Mathlib.Algebra.Group.TypeTags.Hom
/-!
# `map` and `comap` for subgroups
We prove results about images and preimages ... |
Nat.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.Group.Embedding
import Mathlib.Order.Interval.Finset.SuccPred
import Mathlib.Order.Interval.Multiset
/-!
# Finite intervals of naturals
This file... |
Deligne.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.Analysis.SpecialFunctions.Gamma.Beta
/-!
# Deligne's archimedean Gamma-factors
In the theory of L-series one frequently encounters the following fun... |
Unitor.lean | /-
Copyright (c) 2024 Shanghe Chen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Shanghe Chen
-/
import Mathlib.CategoryTheory.Products.Basic
import Mathlib.CategoryTheory.Discrete.Basic
/-!
# The left/right unitor equivalences `1 × C ≌ C` and `C × 1 ≌ C`.
-/
unive... |
Inclusion.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
-/
import Mathlib.Data.Set.Basic
/-! # Lemmas about `inclusion`, the injection of subtypes induced by `⊆` -/
open Function
namespace Set
variable {α... |
EilenbergMoore.lean | /-
Copyright (c) 2022 Julian Kuelshammer. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Julian Kuelshammer
-/
import Mathlib.CategoryTheory.Preadditive.Basic
import Mathlib.CategoryTheory.Monad.Algebra
import Mathlib.CategoryTheory.Preadditive.AdditiveFunctor
/-!
# P... |
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... |
LawsonTopology.lean | /-
Copyright (c) 2023 Christopher Hoskin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Christopher Hoskin
-/
import Mathlib.Topology.Order.LowerUpperTopology
import Mathlib.Topology.Order.ScottTopology
/-!
# Lawson topology
This file introduces the Lawson topology... |
Basic.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.Calculus.Deriv.Comp
import Mathlib.Analysis.Calculus.Deriv.Add
import Mathlib.Analysis.Calculus.Deriv.Mul
import Mathlib.Analysis.Calcul... |
MonoidalComp.lean | /-
Copyright (c) 2022. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kim Morrison, Yuma Mizuno, Oleksandr Manzyuk
-/
import Mathlib.CategoryTheory.Monoidal.Category
/-!
# Monoidal composition `⊗≫` (composition up to associators)
We provide `f ⊗≫ g`, the `monoidalCom... |
InitialSeg.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.Order.InitialSeg
/-!
# Intervals as initial segments
We show that `Set.Iic` and `Set.Iio` are respectively initial and
principal segments, and that any princip... |
Lex.lean | /-
Copyright (c) 2025 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.Prod.Lex
import Mathlib.Data.Sum.Order
import Mathlib.Order.Hom.Set
import Mathlib.Order.RelIso.Set
/-!
# Lexicographic o... |
Retract.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.Comma.Arrow
import Mathlib.CategoryTheory.EpiMono
/-!
# Retracts
Defines retracts of objects and morphisms.
-/
universe v v' u u'
namespa... |
IntermediateField.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.CharP.Algebra
import Mathlib.FieldTheory.IntermediateField.Basic
/-!
# Characteristic of intermediate fields
This file contains some convenient instances fo... |
Basic.lean | /-
Copyright (c) 2024 Elliot Dean Young and Jiazhen Xia. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jiazhen Xia, Elliot Dean Young, Joël Riou
-/
import Mathlib.Topology.Category.TopCat.Limits.Basic
import Mathlib.Topology.Category.TopCat.Sphere
import Mathlib.Algeb... |
Defs.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.Field.Basic
import Mathlib.Algebra.Ring.Subring.Defs
import Mathlib.Algebra.Order.Ring.Unbundled.Rat
/-!
# Subfields
Let `K` be a division ring, fo... |
Augmented.lean | /-
Copyright (c) 2025 Robin Carlier. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Robin Carlier
-/
import Mathlib.CategoryTheory.WithTerminal.Basic
import Mathlib.AlgebraicTopology.SimplexCategory.Basic
import Mathlib.AlgebraicTopology.SimplicialObject.Basic
/-!
# T... |
FundamentalCone.lean | /-
Copyright (c) 2024 Xavier Roblot. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Xavier Roblot
-/
import Mathlib.RingTheory.Ideal.IsPrincipal
import Mathlib.NumberTheory.NumberField.Units.DirichletTheorem
import Mathlib.RingTheory.ClassGroup
/-!
# Fundamental Cone
... |
Products.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.Comma.Over.Basic
import Mathlib.CategoryTheory.Limits.Shapes.BinaryProducts
import Mathlib.CategoryTheory.Monad.Algebra
/-!
# Algebras for ... |
NegMulLog.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.Analysis.SpecialFunctions.Log.Deriv
import Mathlib.Analysis.SpecialFunctions.Pow.Asymptotics
import Mathlib.Analysis.Convex.Deriv
/-!
# The function `x ↦ ... |
abelian.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 choice div fintype finfun bigop finset prime.
From ma... |
CoherentTopology.lean | /-
Copyright (c) 2023 Adam Topaz. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Adam Topaz, Nikolas Kuhn
-/
import Mathlib.CategoryTheory.Sites.Coherent.CoherentSheaves
/-!
# Description of the covering sieves of the coherent topology
This file characterises the cov... |
Option.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.Data.Finset.Option
import Mathlib.Algebra.BigOperators.Group.Finset.Basic
/-!
# Lemmas about products and sums over finite sets in `Option α`
In th... |
Encodable.lean | /-
Copyright (c) 2019 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro
-/
import Mathlib.Logic.Encodable.Basic
import Mathlib.Data.Rat.Init
/-! # The rationals are `Encodable`.
As a consequence we also get the instance `Co... |
ssrmatching.v | From Corelib Require Export ssrmatching.
|
antidiagonal.lean | import Mathlib.Algebra.Order.Antidiag.Finsupp
import Mathlib.Data.Finset.Sort
import Mathlib.Data.Finsupp.Notation
import Mathlib.Data.Fin.Tuple.NatAntidiagonal
/-!
# Testing computability (and runtime) of antidiagonal
-/
open Finset
section
-- set_option trace.profiler true
set_option linter.style.commandStart fal... |
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