Consider the following premises. For all x_8, x_8 will cook if and only if x_8 will play tennis. There is at least one x_8 for which x_8 will play tennis if and only if x_8 is bored. Can we infer the following from them? There is at least one x_8 for which if x_8 cooks, then x_8 is bored.
 From the fact that for all x_8, x_8 will cook if and only if x_8 will play tennis we can infer that for all x_8, if x_8 cooks, then x_8 is playing tennis. From the fact that there is at least one x_8 for which x_8 will play tennis if and only if x_8 is bored we can infer that there is at least one x_8 for which if x_8 plays tennis, then x_8 is bored. Finally, from the fact that for all x_8, if x_8 cooks, then x_8 is playing tennis, and that there is at least one x_8 for which if x_8 plays tennis, then x_8 is bored we can infer that there is at least one x_8 for which if x_8 cooks, then x_8 is bored. Therefore, the answer is yes.