Consider the following premises. forall x_3: U(x_3) -> W(x_3). forall x_3: W(x_3) -> R(x_3). forall x_3: R(x_3) -> Q_2(x_3). forall x_3: S(x_3) -> U(x_3). Can we infer forall x_3: S(x_3) -> Q_2(x_3) from them? If possible, name the inference rules being used at each step.
 From forall x_3: W(x_3) -> R(x_3), forall x_3: R(x_3) -> Q_2(x_3) we can infer forall x_3: W(x_3) -> Q_2(x_3) via universal transitivity. From forall x_3: U(x_3) -> W(x_3), forall x_3: W(x_3) -> Q_2(x_3) we can infer forall x_3: U(x_3) -> Q_2(x_3) via universal transitivity. Finally, from forall x_3: S(x_3) -> U(x_3), forall x_3: U(x_3) -> Q_2(x_3) we can infer forall x_3: S(x_3) -> Q_2(x_3) via universal transitivity. Therefore, the answer is yes.