Theorems · Definition · category theory

SheafOfModules.evaluation

{C : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    {J : CategoryTheory.GrothendieckTopology C} →
      (R : CategoryTheory.Sheaf J RingCat) →
        (X : Cᵒᵖ) → CategoryTheory.Functor (SheafOfModules R) (ModuleCat ↑(R.obj.obj X))

Evaluation on an object X gives a functor SheafOfModules R ⥤ ModuleCat (R.val.obj X).

Defined in

Mathlib.Algebra.Category.ModuleCat.Sheaf

Cited by

11 results in Mathlib

Foundations

Depth 44 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.Category