Consider the following premises. p_1 <-> p_6. p_1 <-> q_14. p_6 -> q_6. ~q_6. Can we infer ~q_14 from them? If possible, name the inference rules being used at each step.
 From p_1 <-> q_14 we can infer q_14 -> p_1 via biconditional elimination. From p_6 -> q_6, ~q_6 we can infer ~p_6 via modus tollens. From p_1 <-> p_6, ~p_6 we can infer ~p_1 via biconditional elimination. Finally, from q_14 -> p_1, ~p_1 we can infer ~q_14 via modus tollens. Therefore, the answer is yes.