Consider the following premises. ~p_12. p_12 <-> r_3. w_3 -> r_3. w_3 or q. Can we infer ~q from them? If possible, name the inference rules being used at each step.
 From p_12 <-> r_3, ~p_12 we can infer ~r_3 via biconditional elimination. From w_3 -> r_3, ~r_3 we can infer ~w_3 via modus tollens. Finally, from w_3 or q, ~w_3 we can infer q via disjunctive syllogism, which contradicts ~q. Therefore, the answer is no.