Consider the following premises. forall y: W(y) -> P(y). forall y: P(y) -> R_3(y). exists y: R_3(y) <-> W(y). Can we infer exists y: R_3(y) -> W(y) from them?
 From forall y: W(y) -> P(y), forall y: P(y) -> R_3(y) we can infer forall y: W(y) -> R_3(y). Finally, from exists y: R_3(y) <-> W(y) we can infer exists y: R_3(y) -> W(y). Therefore, the answer is yes.