Consider the following premises. p_1. p_10 <-> t_4. ~t_1. t_4 -> t_1. Can we infer p_10 from them? If possible, name the inference rules being used at each step.
 From t_4 -> t_1, ~t_1 we can infer ~t_4 via modus tollens. Finally, from p_10 <-> t_4, ~t_4 we can infer ~p_10 via biconditional elimination, which contradicts p_10. Therefore, the answer is no.