Consider the following premises. exists x_2: W(x_2) or Q_2(x_2). forall x_2: W(x_2) -> P_2(x_2). forall x_2: P_2(x_2) or ~Q_2(x_2). Can we infer forall x_2: W(x_2) -> P_2(x_2) from them? If possible, name the inference rules being used at each step.
That is one of the premises. Therefore, the answer is yes.