Theorems · Definition · category theory

CategoryTheory.Oplax.LaxTrans.associator

{B : Type u₁} →
  [inst : CategoryTheory.Bicategory B] →
    {C : Type u₂} →
      [inst_1 : CategoryTheory.Bicategory C] →
        {F G H I : CategoryTheory.OplaxFunctor B C} →
          (η : F ⟶ G) →
            (θ : G ⟶ H) →
              (ι : H ⟶ I) →
                CategoryTheory.CategoryStruct.comp (CategoryTheory.CategoryStruct.comp η θ) ι ≅
                  CategoryTheory.CategoryStruct.comp η (CategoryTheory.CategoryStruct.comp θ ι)

Associator for the vertical composition of lax natural transformations.

Defined in

Mathlib.CategoryTheory.Bicategory.FunctorBicategory.Oplax

Cited by

2 results in Mathlib

Foundations

Depth 42 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.BicategoryCategoryTheory.Bicategory