Theorems · Theorem · category theory

PresheafOfModules.comp_app

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {R : CategoryTheory.Functor Cᵒᵖ RingCat}
  {M₁ M₂ M₃ : PresheafOfModules R} (f : M₁ ⟶ M₂) (g : M₂ ⟶ M₃) (X : Cᵒᵖ),
  (CategoryTheory.CategoryStruct.comp f g).app X = CategoryTheory.CategoryStruct.comp (f.app X) (g.app X)

Defined in

Mathlib.Algebra.Category.ModuleCat.Presheaf

Cited by

5 results in Mathlib

Foundations

Depth 39 from the axioms · uses propext, Quot.sound

Assumes

CategoryTheory.Category