∀ {X : Type u_1} {R : Type u_2} [inst : Zero X] [inst_1 : TopologicalSpace X] [inst_2 : TopologicalSpace R]
  [inst_3 : CommSemiring R] [inst_4 : IsTopologicalSemiring R] [inst_5 : StarRing R] [inst_6 : ContinuousStar R]
  (f : ContinuousMapZero X R), ⇑(star f) = star ⇑f