Consider the following premises. forall z_1: W(z_1) -> S_1(z_1). forall z_1: S_1(z_1) -> T(z_1). forall z_1: T(z_1) <-> W(z_1). Can we infer forall z_1: S_1(z_1) -> T(z_1) from them?
That is one of the premises. Therefore, the answer is yes.