Consider the following premises. For all x_1, if x_1 were bored, then x_1 is playing squash. For all x_1, if x_1 plays squash, then x_1 is taking a plane. For all x_1, x_1 will not take a plane. Can we infer the following from them? If we can, name the inference rule being used: For all x_1, x_1 is not bored.
 From the fact that for all x_1, if x_1 plays squash, then x_1 is taking a plane, and that for all x_1, x_1 will not take a plane we can infer that for all x_1, x_1 will not play squash via universal modus tollens. Finally, from the fact that for all x_1, if x_1 were bored, then x_1 is playing squash, and that for all x_1, x_1 will not play squash we can infer that for all x_1, x_1 is not bored via universal modus tollens. Therefore, the answer is yes.