∀ {J : Type u_2} [inst : CategoryTheory.SmallCategory J] (F : CategoryTheory.Functor J MonCat)
  [inst_1 : CategoryTheory.IsFiltered J] (j : J) (x y : ↑(F.1 j)),
  (CategoryTheory.Limits.Types.TypeMax.colimitCocone (F.comp (CategoryTheory.forget MonCat))).ι.app j (x * y) =
    (CategoryTheory.Limits.Types.TypeMax.colimitCocone (F.comp (CategoryTheory.forget MonCat))).ι.app j x *
      (CategoryTheory.Limits.Types.TypeMax.colimitCocone (F.comp (CategoryTheory.forget MonCat))).ι.app j y