Consider the following premises. w_3 -> q_1. ~q_1. w_3 <-> q. Can we infer q from them? If possible, name the inference rules being used at each step.
 From w_3 -> q_1, ~q_1 we can infer ~w_3 via modus tollens. Finally, from w_3 <-> q, ~w_3 we can infer ~q via biconditional elimination, which contradicts q. Therefore, the answer is no.