∀ (B : Type u_2) [inst : CategoryTheory.Bicategory B] {a b c d : B} (f : a ⟶ b) (g : b ⟶ c) (h : c ⟶ d),
  CategoryTheory.CategoryStruct.comp
      (CategoryTheory.Bicategory.whiskerRight
        (CategoryTheory.CategoryStruct.id (CategoryTheory.CategoryStruct.comp f g))
        ((CategoryTheory.PrelaxFunctor.id B).map h))
      (CategoryTheory.CategoryStruct.comp
        (CategoryTheory.CategoryStruct.id
          (CategoryTheory.CategoryStruct.comp (CategoryTheory.CategoryStruct.comp f g) h))
        ((CategoryTheory.PrelaxFunctor.id B).map₂ (CategoryTheory.Bicategory.associator f g h).hom)) =
    CategoryTheory.CategoryStruct.comp
      (CategoryTheory.Bicategory.associator ((CategoryTheory.PrelaxFunctor.id B).map f)
          ((CategoryTheory.PrelaxFunctor.id B).map g) ((CategoryTheory.PrelaxFunctor.id B).map h)).hom
      (CategoryTheory.CategoryStruct.comp
        (CategoryTheory.Bicategory.whiskerLeft ((CategoryTheory.PrelaxFunctor.id B).map f)
          (CategoryTheory.CategoryStruct.id (CategoryTheory.CategoryStruct.comp g h)))
        (CategoryTheory.CategoryStruct.id
          (CategoryTheory.CategoryStruct.comp f (CategoryTheory.CategoryStruct.comp g h))))