Consider the following premises. q_22. t -> ~w_2. w_2 <-> q_22. Can we infer t from them? If possible, name the inference rules being used at each step.
 From w_2 <-> q_22 we can infer q_22 -> w_2 via biconditional elimination. From q_22 -> w_2, q_22 we can infer w_2 via modus ponens. Finally, from t -> ~w_2, w_2 we can infer ~t via modus tollens, which contradicts t. Therefore, the answer is no.