Consider the following premises. ~w. p_8 <-> w. Can we infer ~p_8 or q from them? If possible, name the inference rules being used at each step.
 From p_8 <-> w, ~w we can infer ~p_8 via biconditional elimination. Finally, from ~p_8 we can infer ~p_8 or q via addition. Therefore, the answer is yes.