Theorems · Theorem · category theory

PresheafOfModules.forgetToPresheafModuleCatObj_map

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {R : CategoryTheory.Functor Cᵒᵖ RingCat} (X : Cᵒᵖ)
  (hX : CategoryTheory.Limits.IsInitial X) (M : PresheafOfModules R) {X_1 Y : Cᵒᵖ} (f : X_1 ⟶ Y),
  (PresheafOfModules.forgetToPresheafModuleCatObj X hX M).map f =
    PresheafOfModules.forgetToPresheafModuleCatObjMap X hX M f

Defined in

Mathlib.Algebra.Category.ModuleCat.Presheaf

Cited by

0 results in Mathlib

Foundations

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

Assumes

CategoryTheory.Category