∀ {R : Type u_1} {A : Type u_2} {B : Type u_3} [inst : Add A] [inst_1 : Add B] [inst_2 : Mul A] [inst_3 : Mul B]
  [inst_4 : SMul R A] [inst_5 : SMul R B] [inst_6 : Star A] [inst_7 : Star B]
  (toStarRingEquiv toStarRingEquiv_1 : A ≃⋆+* B) (e_toStarRingEquiv : toStarRingEquiv = toStarRingEquiv_1)
  (map_smul' : ∀ (r : R) (a : A), toStarRingEquiv.toFun (r • a) = r • toStarRingEquiv.toFun a),
  { toStarRingEquiv := toStarRingEquiv, map_smul' := map_smul' } =
    { toStarRingEquiv := toStarRingEquiv_1, map_smul' := ⋯ }