Theorems · Definition · category theory

SheafOfModules.toSheafCompSheafToPresheafIso

{C : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    {J : CategoryTheory.GrothendieckTopology C} →
      (R : CategoryTheory.Sheaf J RingCat) →
        (SheafOfModules.toSheaf R).comp (CategoryTheory.sheafToPresheaf J AddCommGrpCat) ≅
          (SheafOfModules.forget R).comp (PresheafOfModules.toPresheaf R.obj)

The canonical isomorphism between SheafOfModules.toSheaf R ⋙ sheafToPresheaf J AddCommGrpCat.{v} and SheafOfModules.forget R ⋙ PresheafOfModules.toPresheaf R.val.

Defined in

Mathlib.Algebra.Category.ModuleCat.Sheaf

Cited by

0 results in Mathlib

Foundations

Depth 46 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.Category