Consider the following premises. forall y: T_1(y) -> P_4(y). exists y: Q(y) -> U_3(y). forall y: ~P_4(y). forall y: U_3(y) -> T_1(y). Can we infer forall y: ~P_4(y) from them? If possible, name the inference rules being used at each step.
That is one of the premises. Therefore, the answer is yes.