Consider the following premises. forall y: W(y) -> R_2(y). exists y: R_2(y) <-> W(y). Can we infer exists y: W(y) -> R_2(y) from them?
 From exists y: R_2(y) <-> W(y) we can infer exists y: R_2(y) -> W(y). From forall y: W(y) -> R_2(y), exists y: R_2(y) -> W(y) we can infer exists y: W(y) <-> R_2(y). Finally, from exists y: W(y) <-> R_2(y) we can infer exists y: W(y) -> R_2(y). Therefore, the answer is yes.