Consider the following premises. p_8 -> q_8. s_3 -> p_8. p_8 -> s_3. ~s_3. q_8 -> p_8. Can we infer q_8 from them? If possible, name the inference rules being used at each step.
 From p_8 -> q_8, q_8 -> p_8 we can infer p_8 <-> q_8 via biconditional introduction. From p_8 -> s_3, s_3 -> p_8 we can infer p_8 <-> s_3 via biconditional introduction. From p_8 <-> s_3, ~s_3 we can infer ~p_8 via biconditional elimination. Finally, from p_8 <-> q_8, ~p_8 we can infer ~q_8 via biconditional elimination, which contradicts q_8. Therefore, the answer is no.