Consider the following premises. p_10 -> q_10. ~w. ~p_10 -> q. q_10 -> w. Can we infer q from them? If possible, name the inference rules being used at each step.
 From p_10 -> q_10, q_10 -> w we can infer p_10 -> w via transitivity. From p_10 -> w, ~w we can infer ~p_10 via modus tollens. Finally, from ~p_10 -> q, ~p_10 we can infer q via modus ponens. Therefore, the answer is yes.