Consider the following premises. exists y_2: U_4(y_2) and Q(y_2). forall y_2: T_4(y_2) or ~U_4(y_2). Can we infer exists y_2: T_4(y_2) from them?
 From exists y_2: U_4(y_2) and Q(y_2) we can infer exists y_2: U_4(y_2). From forall y_2: T_4(y_2) or ~U_4(y_2) we can infer forall y_2: U_4(y_2) -> T_4(y_2). Finally, from forall y_2: U_4(y_2) -> T_4(y_2), exists y_2: U_4(y_2) we can infer exists y_2: T_4(y_2). Therefore, the answer is yes.