Consider the following premises. forall x_10: S_4(x_10) -> Q(x_10). W(i_2). forall x_10: S_4(x_10). Can we infer exists x_10: W(x_10) and Q(x_10) from them? If possible, name the inference rules being used at each step.
 From forall x_10: S_4(x_10) -> Q(x_10), forall x_10: S_4(x_10) we can infer forall x_10: Q(x_10) via universal modus ponens. From W(i_2) we can infer exists x_10: W(x_10) via existential generalization. Finally, from exists x_10: W(x_10), forall x_10: Q(x_10) we can infer exists x_10: W(x_10) and Q(x_10) via existential conjunction. Therefore, the answer is yes.