Consider the following premises. forall x_3: P_1(x_3) and Q_3(x_3). exists x_3: W(x_3) -> ~P_1(x_3). Can we infer exists x_3: W(x_3) -> ~P_1(x_3) from them? If possible, name the inference rules being used at each step.
That is one of the premises. Therefore, the answer is yes.