∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.CartesianMonoidalCategory C]
  [inst_2 : CategoryTheory.BraidedCategory C] (X : C) (F : CategoryTheory.Functor Cᵒᵖ CommMonCat)
  (α : (F.comp (CategoryTheory.forget CommMonCat)).RepresentableBy X), CategoryTheory.IsCommMonObj X