∀ {α : Type u_1} [inst : TopologicalSpace α] {R : Type u_2} [inst_1 : PartialOrder R] [inst_2 : NonUnitalSemiring R]
  [inst_3 : StarRing R] [StarOrderedRing R] [inst_5 : TopologicalSpace R] [inst_6 : ContinuousStar R]
  [inst_7 : IsTopologicalSemiring R] [ContinuousSqrt R], StarOrderedRing C(α, R)