Consider the following premises. forall x_15: P_15(x_15) or Q_15(x_15). forall x_15: Q_15(x_15) -> Q_10(x_15). forall x_15: ~P_15(x_15). Can we infer ~Q_10(a) from them? If possible, name the inference rules being used at each step.
 From forall x_15: P_15(x_15) or Q_15(x_15), forall x_15: ~P_15(x_15) we can infer forall x_15: Q_15(x_15) via universal disjunctive syllogism. Finally, from forall x_15: Q_15(x_15) -> Q_10(x_15), forall x_15: Q_15(x_15) we can infer forall x_15: Q_10(x_15) via universal modus ponens, which contradicts ~Q_10(a). Therefore, the answer is no.