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