Consider the following premises. exists z: W(z) -> R(z). forall z: S_4(z) -> W(z). forall z: R(z) -> S_4(z). Can we infer exists z: W(z) -> S_4(z) from them? If possible, name the inference rules being used at each step.
We can infer exists z: W(z) -> S_4(z) via the existential transitivity rule. Therefore, the answer is yes.