Theorems · Theorem · category theory

CategoryTheory.Oplax.OplaxTrans.homCategory_comp_as_app

∀ {B : Type u₁} [inst : CategoryTheory.Bicategory B] {C : Type u₂} [inst_1 : CategoryTheory.Bicategory C]
  {F G : CategoryTheory.OplaxFunctor B C} {X Y Z : F ⟶ G} (Γ : CategoryTheory.Oplax.OplaxTrans.Hom X Y)
  (Δ : CategoryTheory.Oplax.OplaxTrans.Hom Y Z) (a : B),
  (CategoryTheory.CategoryStruct.comp Γ Δ).as.app a = CategoryTheory.CategoryStruct.comp (Γ.as.app a) (Δ.as.app a)

Defined in

Mathlib.CategoryTheory.Bicategory.Modification.Oplax

Cited by

0 results in Mathlib

Foundations

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

Assumes

CategoryTheory.BicategoryCategoryTheory.Bicategory