Consider the following premises. S_3(c_1) -> T_1(c_1). forall x: S_3(x) -> T_1(x). forall x: T_1(x) -> S_3(x). Can we infer T_1(c_1) <-> S_3(c_1) from them?
 From forall x: T_1(x) -> S_3(x), forall x: S_3(x) -> T_1(x) we can infer forall x: T_1(x) <-> S_3(x). Finally, from forall x: T_1(x) <-> S_3(x) we can infer T_1(c_1) <-> S_3(c_1). Therefore, the answer is yes.