Theorems · Theorem · category theory

CategoryTheory.NatTrans.comp_app

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {D : Type u₂} [inst_1 : CategoryTheory.Category.{v₂, u₂} D]
  {F G H : CategoryTheory.Functor C D} (α : F ⟶ G) (β : G ⟶ H) (X : C),
  (CategoryTheory.CategoryStruct.comp α β).app X = CategoryTheory.CategoryStruct.comp (α.app X) (β.app X)

Defined in

Mathlib.CategoryTheory.Functor.Category

Cited by

27 results in Mathlib

Foundations

Depth 20 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category