Consider the following premises. forall z_3: U(z_3) <-> T_4(z_3). forall z_3: P_3(z_3) -> W(z_3). forall z_3: W(z_3) -> U(z_3). Can we infer forall z_3: P_3(z_3) -> T_4(z_3) from them?
 From forall z_3: U(z_3) <-> T_4(z_3) we can infer forall z_3: U(z_3) -> T_4(z_3). From forall z_3: P_3(z_3) -> W(z_3), forall z_3: W(z_3) -> U(z_3) we can infer forall z_3: P_3(z_3) -> U(z_3). Finally, from forall z_3: P_3(z_3) -> U(z_3), forall z_3: U(z_3) -> T_4(z_3) we can infer forall z_3: P_3(z_3) -> T_4(z_3). Therefore, the answer is yes.