Consider the following premises. q_3 or w_2. w_2 <-> q. q_3 <-> q. Can we infer q from them?
 From q_3 <-> q we can infer q_3 -> q. From w_2 <-> q we can infer w_2 -> q. Finally, from q_3 -> q, w_2 -> q, q_3 or w_2 we can infer q. Therefore, the answer is yes.