Theorems · Theorem · category theory

CategoryTheory.Functor.toPrefunctor_comp

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {D : Type u₂} [inst_1 : CategoryTheory.Category.{v₂, u₂} D]
  {E : Type u₃} [inst_2 : CategoryTheory.Category.{v₃, u₃} E] (F : CategoryTheory.Functor C D)
  (G : CategoryTheory.Functor D E), F.toPrefunctor ⋙q G.toPrefunctor = (F.comp G).toPrefunctor

Defined in

Mathlib.CategoryTheory.Functor.Basic

Cited by

2 results in Mathlib

Foundations

Depth 16 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Category