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Theorems · Inductive type · category theory

SheafOfModules.Hom

{C : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    {J : CategoryTheory.GrothendieckTopology C} →
      {R : CategoryTheory.Sheaf J RingCat} → SheafOfModules R → SheafOfModules R → Type (max u₁ v)

A morphism between sheaves of modules is a morphism between the underlying presheaves of modules.

Defined in
Mathlib.Algebra.Category.ModuleCat.Sheaf
Cited by
5 results in Mathlib
Foundations
Depth 36 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CategoryTheory.Category
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Around this declaration

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

SheafOfModules.Hom.val · cited by 39Hom.valSheafOfModules.Hom.ext · cited by 2Hom.extSheafOfModules.Hom.mk.inj · cited by 1mk.injSheafOfModules.Hom.mk.noConfusion · cited by 1mk.noConfusionAlgebraicGeometry.Scheme.Modules.Hom · cited by 0Modules.HomSheafOfModules.Hom.casesOn · cited by 0Hom.casesOnSheafOfModules.Hom.ctorIdx · cited by 0Hom.ctorIdxSheafOfModules.Hom.ext_iff · cited by 0Hom.ext_iffSheafOfModules.Hom.noConfusion · cited by 0Hom.noConfusionSheafOfModules.Hom.noConfusionType · cited by 0Hom.noConfusionTypeSheafOfModules.Hom.mk.injEq · cited by 0mk.injEqSheafOfModules.Hom.recOn · cited by 0Hom.recOnSheafOfModules.Hom.mk.sizeOf_spec · cited by 0mk.sizeOf_specCategoryTheory.Category · cited by 32673CategoryTheory.CategoryCategoryTheory.GrothendieckTopology · cited by 1415CategoryTheory.Grothendie…CategoryTheory.Sheaf · cited by 763CategoryTheory.SheafRingCat · cited by 473RingCatSheafOfModules · cited by 188SheafOfModulesSheafOfModules.HomCITED BYCITES

Cites5

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Cited by13

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