Theorems · Theorem · category theory

CategoryTheory.Oplax.StrongTrans.categoryStruct_comp_app

∀ {B : Type u₁} [inst : CategoryTheory.Bicategory B] {C : Type u₂} [inst_1 : CategoryTheory.Bicategory C]
  {X Y Z : CategoryTheory.OplaxFunctor B C} (η : CategoryTheory.Oplax.StrongTrans X Y)
  (θ : CategoryTheory.Oplax.StrongTrans Y Z) (a : B),
  (CategoryTheory.CategoryStruct.comp η θ).app a = (η.toOplax.vcomp θ.toOplax).app a

Defined in

Mathlib.CategoryTheory.Bicategory.NaturalTransformation.Oplax

Cited by

0 results in Mathlib

Foundations

Depth 35 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.BicategoryCategoryTheory.Bicategory