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