Consider the following premises. p_2 -> w. w_1 <-> w. p_2. Can we infer w_1 from them? If possible, name the inference rules being used at each step.
 From w_1 <-> w we can infer w -> w_1 via biconditional elimination. From p_2 -> w, w -> w_1 we can infer p_2 -> w_1 via transitivity. Finally, from p_2 -> w_1, p_2 we can infer w_1 via modus ponens. Therefore, the answer is yes.