Theorems · Theorem · category theory

PresheafOfModules.map_id

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {R : CategoryTheory.Functor Cᵒᵖ RingCat}
  (self : PresheafOfModules R) (X : Cᵒᵖ),
  self.map (CategoryTheory.CategoryStruct.id X) =
    (ModuleCat.restrictScalarsId' (RingCat.Hom.hom (R.map (CategoryTheory.CategoryStruct.id X))) ⋯).inv.app (self.obj X)

Defined in

Mathlib.Algebra.Category.ModuleCat.Presheaf

Cited by

1 results in Mathlib

Foundations

Depth 37 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.Category