Consider the following premises. forall x_9: Q_9(x_9) <-> P_9(x_9). exists x_9: P_9(x_9) or ~Q_9(x_9). Can we infer exists x_9: Q_9(x_9) -> P_9(x_9) from them? If possible, name the inference rules being used at each step.
We can infer exists x_9: Q_9(x_9) -> P_9(x_9) via the existential rewriting rule. Therefore, the answer is yes.