Consider the following premises. forall x: R(x) <-> T_1(x). forall x: W(x) -> R(x). exists x: W(x). Can we infer exists x: R(x) from them?
 From exists x: W(x) we can infer exists x: W(x) or T_1(x). From forall x: R(x) <-> T_1(x) we can infer forall x: T_1(x) -> R(x). Finally, from forall x: W(x) -> R(x), forall x: T_1(x) -> R(x), exists x: W(x) or T_1(x) we can infer exists x: R(x). Therefore, the answer is yes.