Consider the following premises. forall z: P_2(z) -> S_4(z). forall z: S_4(z) <-> P_4(z). forall z: W(z) -> P_2(z). Can we infer forall z: S_4(z) <-> P_4(z) from them? If possible, name the inference rules being used at each step.
That is one of the premises. Therefore, the answer is yes.