∀ {R : Type u_2} {A : Type u_1} [inst : CommSemiring R] [inst_1 : TopologicalSpace A] [inst_2 : Star A]
  [inst_3 : NonUnitalSemiring A] [inst_4 : Module R A] [inst_5 : IsTopologicalSemiring A]
  [inst_6 : ContinuousConstSMul R A] (s : NonUnitalStarSubalgebra R A), 0 ∈ s.topologicalClosure.carrier