Consider the following premises. ~q_1. t_1 or ~r_2. t_1 -> q_1. Can we infer ~r_2 from them? If possible, name the inference rules being used at each step.
 From t_1 or ~r_2 we can infer r_2 -> t_1 via rewriting. From t_1 -> q_1, ~q_1 we can infer ~t_1 via modus tollens. Finally, from r_2 -> t_1, ~t_1 we can infer ~r_2 via modus tollens. Therefore, the answer is yes.