Consider the following premises. forall x: T_2(x) -> U_3(x). forall x: T(x) -> U_3(x). forall x: T_2(x) or T(x). forall x: U_3(x) -> T(x). Can we infer forall x: T_2(x) -> U_3(x) from them? If possible, name the inference rules being used at each step.
That is one of the premises. Therefore, the answer is yes.