Consider the following premises. w -> q. p_11 <-> q. p_11 -> w. Can we infer p_11 -> q from them? If possible, name the inference rules being used at each step.
 From p_11 <-> q we can infer q -> p_11 via biconditional elimination. Finally, from p_11 -> w, w -> q we can infer p_11 -> q via transitivity. Therefore, the answer is yes.