Consider the following premises. For all x_8, x_8 will cook if and only if x_8 will play tennis. For all x_8, if x_8 cooks, then x_8 is rich. For all x_8, if x_8 were rich, then x_8 is playing tennis. Can we infer the following from them? There is at least one x_8 for which if is not true that x_8 will cook if and only if x_8 will play tennis.
 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 plays tennis, then x_8 is cooking. From the fact that for all x_8, if x_8 cooks, then x_8 is rich, and that for all x_8, if x_8 were rich, then x_8 is playing tennis we can infer that for all x_8, if x_8 cooks, then x_8 is playing tennis. Finally, from the fact that for all x_8, if x_8 cooks, then x_8 is playing tennis, and that for all x_8, if x_8 plays tennis, then x_8 is cooking we can infer that for all x_8, x_8 will cook if and only if x_8 will play tennis, which contradicts that There is at least one x_8 for which if is not true that x_8 will cook if and only if x_8 will play tennis. Therefore, the answer is no.