Consider the following premises. forall x_2: P_2(x_2). forall x_2: U_4(x_2) -> T_4(x_2). exists x_2: P_2(x_2) -> U_4(x_2). Can we infer forall x_2: ~T_4(x_2) from them?
 From exists x_2: P_2(x_2) -> U_4(x_2), forall x_2: P_2(x_2) we can infer exists x_2: U_4(x_2). Finally, from forall x_2: U_4(x_2) -> T_4(x_2), exists x_2: U_4(x_2) we can infer exists x_2: T_4(x_2), which contradicts forall x_2: ~T_4(x_2). Therefore, the answer is no.