Consider the following premises. p_3 <-> t_3. p_8 <-> t_3. ~p_3. Can we infer ~p_8 from them? If possible, name the inference rules being used at each step.
 From p_8 <-> t_3 we can infer p_8 -> t_3 via biconditional elimination. From p_3 <-> t_3, ~p_3 we can infer ~t_3 via biconditional elimination. Finally, from p_8 -> t_3, ~t_3 we can infer ~p_8 via modus tollens. Therefore, the answer is yes.