Consider the following premises. Q_9(h) or w. w -> P_9(h). forall x_9: P_9(x_9) <-> Q_9(x_9). Can we infer ~P_9(h) from them? If possible, name the inference rules being used at each step.
 From forall x_9: P_9(x_9) <-> Q_9(x_9) we can infer forall x_9: Q_9(x_9) -> P_9(x_9) via universal biconditional elimination. From forall x_9: Q_9(x_9) -> P_9(x_9) we can infer Q_9(h) -> P_9(h) via universal instantiation. Finally, from Q_9(h) -> P_9(h), w -> P_9(h), Q_9(h) or w we can infer P_9(h) via disjunction elimination, which contradicts ~P_9(h). Therefore, the answer is no.