Consider the following premises. forall y: P_2(y) or ~W_3(y). forall y: P_2(y) <-> T(y). Can we infer forall y: W_3(y) -> T(y) from them?
 From forall y: P_2(y) or ~W_3(y) we can infer forall y: W_3(y) -> P_2(y). From forall y: P_2(y) <-> T(y) we can infer forall y: P_2(y) -> T(y). Finally, from forall y: W_3(y) -> P_2(y), forall y: P_2(y) -> T(y) we can infer forall y: W_3(y) -> T(y). Therefore, the answer is yes.