Consider the following premises. forall x_10: Q_6(x_10). forall x_10: ~P_10(x_10) or W(x_10). forall x_10: U_2(x_10) -> ~Q_6(x_10). forall x_10: P_10(x_10) or U_2(x_10). Can we infer forall x_10: U_2(x_10) -> ~Q_6(x_10) from them? If possible, name the inference rules being used at each step.
That is one of the premises. Therefore, the answer is yes.