Consider the following premises. forall x_9: P_9(x_9). w <-> q_16. ~w. Can we infer ~q_16 and P_9(i) from them? If possible, name the inference rules being used at each step.
 From w <-> q_16, ~w we can infer ~q_16 via biconditional elimination. From forall x_9: P_9(x_9) we can infer P_9(i) via universal instantiation. Finally, from ~q_16, P_9(i) we can infer ~q_16 and P_9(i) via conjunction. Therefore, the answer is yes.