Consider the following premises. forall z: W(z) -> U_2(z). forall z: S(z) -> W(z). Can we infer forall z: S(z) -> U_2(z) from them? If possible, name the inference rules being used at each step.
We can infer forall z: S(z) -> U_2(z) via the universal transitivity rule. Therefore, the answer is yes.