Consider the following premises. u_1 or ~P_3(i). u_1 -> T(i). forall y_3: T(y_3) -> P_3(y_3). Can we infer T(i) -> u_1 from them?
 From forall y_3: T(y_3) -> P_3(y_3) we can infer T(i) -> P_3(i). From u_1 or ~P_3(i) we can infer P_3(i) -> u_1. Finally, from T(i) -> P_3(i), P_3(i) -> u_1 we can infer T(i) -> u_1. Therefore, the answer is yes.