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Theorems · Inductive type · category theory

PresheafOfModules.Hom

{C : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    {R : CategoryTheory.Functor Cᵒᵖ RingCat} → PresheafOfModules R → PresheafOfModules R → Type (max u₁ v)

A morphism of presheaves of modules consists of a family of linear maps which satisfy the naturality condition.

Defined in
Mathlib.Algebra.Category.ModuleCat.Presheaf
Cited by
8 results in Mathlib
Foundations
Depth 22 from the axioms · uses propext, Quot.sound
Assumes
CategoryTheory.Category
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

PresheafOfModules.Hom.app · cited by 88Hom.appPresheafOfModules.Hom.ext · cited by 2Hom.extPresheafOfModules.Hom.naturality · cited by 2Hom.naturalityPresheafOfModules.Hom.mk.inj · cited by 1mk.injPresheafOfModules.Hom.mk.noConfusion · cited by 1mk.noConfusionPresheafOfModules.Hom.casesOn · cited by 0Hom.casesOnPresheafOfModules.Hom.ctorIdx · cited by 0Hom.ctorIdxPresheafOfModules.Hom.ext_iff · cited by 0Hom.ext_iffPresheafOfModules.Hom.naturality_assoc · cited by 0Hom.naturality_assocPresheafOfModules.Hom.noConfusion · cited by 0Hom.noConfusionPresheafOfModules.Hom.noConfusionType · cited by 0Hom.noConfusionTypePresheafOfModules.Hom.recOn · cited by 0Hom.recOnPresheafOfModules.Hom.mk.congr_simp · cited by 0mk.congr_simpPresheafOfModules.Hom.mk.injEq · cited by 0mk.injEqPresheafOfModules.Hom.mk.sizeOf_spec · cited by 0mk.sizeOf_specCategoryTheory.Category · cited by 32673CategoryTheory.CategoryCategoryTheory.Functor · cited by 16252CategoryTheory.FunctorOpposite · cited by 8081OppositeRingCat · cited by 473RingCatPresheafOfModules · cited by 247PresheafOfModulesPresheafOfModules.HomCITED BYCITES

Cites5

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Cited by15

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