∀ {R : Type u_1} {S : Type u_3} {A : Type u_2} [inst : Field R] [inst_1 : StarRing R] [inst_2 : Ring A]
  [inst_3 : StarRing A] [inst_4 : Algebra R A] [inst_5 : StarModule R A] [inst_6 : SetLike S A]
  [hSA : NonUnitalSubringClass S A] [hSRA : SMulMemClass S R A] [inst_7 : StarMemClass S A] (s : S)
  (x : Unitization R ↥s), (NonUnitalStarSubalgebra.unitization s) x ∈ StarAlgebra.adjoin R ↑s