Consider the following premises. forall y_1: R(y_1) <-> W(y_1). exists y_1: T_2(y_1) <-> W(y_1). Can we infer exists y_1: T_2(y_1) -> R(y_1) from them?
 From forall y_1: R(y_1) <-> W(y_1) we can infer forall y_1: W(y_1) -> R(y_1). From exists y_1: T_2(y_1) <-> W(y_1) we can infer exists y_1: T_2(y_1) -> W(y_1). Finally, from exists y_1: T_2(y_1) -> W(y_1), forall y_1: W(y_1) -> R(y_1) we can infer exists y_1: T_2(y_1) -> R(y_1). Therefore, the answer is yes.