∀ {I : Type u_2} {C : I → Type u_3} [inst : (i : I) → CategoryTheory.Category.{u_1, u_3} (C i)]
  [inst_1 : (i : I) → CategoryTheory.MonoidalCategory (C i)] {D : Type u_5}
  [inst_2 : CategoryTheory.Category.{u_4, u_5} D] [inst_3 : CategoryTheory.MonoidalCategory D]
  (F : (i : I) → CategoryTheory.Functor D (C i)) [inst_4 : (i : I) → (F i).OplaxMonoidal] (X Y Z : D),
  CategoryTheory.CategoryStruct.comp
      (fun i => CategoryTheory.Functor.OplaxMonoidal.δ (F i) (CategoryTheory.MonoidalCategoryStruct.tensorObj X Y) Z)
      (CategoryTheory.CategoryStruct.comp
        (CategoryTheory.MonoidalCategoryStruct.whiskerRight (fun i => CategoryTheory.Functor.OplaxMonoidal.δ (F i) X Y)
          ((CategoryTheory.Functor.pi' F).obj Z))
        (CategoryTheory.MonoidalCategoryStruct.associator ((CategoryTheory.Functor.pi' F).obj X)
            ((CategoryTheory.Functor.pi' F).obj Y) ((CategoryTheory.Functor.pi' F).obj Z)).hom) =
    CategoryTheory.CategoryStruct.comp
      ((CategoryTheory.Functor.pi' F).map (CategoryTheory.MonoidalCategoryStruct.associator X Y Z).hom)
      (CategoryTheory.CategoryStruct.comp
        (fun i => CategoryTheory.Functor.OplaxMonoidal.δ (F i) X (CategoryTheory.MonoidalCategoryStruct.tensorObj Y Z))
        (CategoryTheory.MonoidalCategoryStruct.whiskerLeft ((CategoryTheory.Functor.pi' F).obj X) fun i =>
          CategoryTheory.Functor.OplaxMonoidal.δ (F i) Y Z))