∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {D : Type u₂} [inst_1 : CategoryTheory.Category.{w, u₂} D]
  [inst_2 : CategoryTheory.Limits.HasBinaryProducts C] [inst_3 : CategoryTheory.Limits.HasBinaryProducts D]
  (F : CategoryTheory.Functor C D) (A B : C),
  (CategoryTheory.Limits.prodComparisonNatTrans F A).app B = CategoryTheory.Limits.prodComparison F A B