∀ {C : Type u_4} [inst : CategoryTheory.Category.{u_3, u_4} C] {D : Type u_1}
  [inst_1 : CategoryTheory.Category.{u_2, u_1} D] (G : CategoryTheory.Functor C D) (X : C),
  (G.mapCone (CategoryTheory.Limits.asEmptyCone X)).pt = (G.mapCone (CategoryTheory.Limits.asEmptyCone X)).pt