∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.CartesianMonoidalCategory C]
  {D : Type u₁} [inst_2 : CategoryTheory.Category.{v₁, u₁} D] [inst_3 : CategoryTheory.CartesianMonoidalCategory D]
  (F : CategoryTheory.Functor C D) {E : Type u₂} [inst_4 : CategoryTheory.Category.{v₂, u₂} E]
  [inst_5 : CategoryTheory.CartesianMonoidalCategory E] (G : CategoryTheory.Functor D E) {A B : C},
  CategoryTheory.CartesianMonoidalCategory.prodComparison (F.comp G) A B =
    CategoryTheory.CategoryStruct.comp (G.map (CategoryTheory.CartesianMonoidalCategory.prodComparison F A B))
      (CategoryTheory.CartesianMonoidalCategory.prodComparison G (F.obj A) (F.obj B))