Consider the following premises. exists x_15: W_2(x_15) <-> P_1(x_15). forall x_15: P_1(x_15). forall x_15: W_2(x_15) -> S(x_15). forall x_15: Q_15(x_15) -> W_2(x_15). Can we infer forall x_15: P_1(x_15) from them? If possible, name the inference rules being used at each step.
That is one of the premises. Therefore, the answer is yes.