Consider the following premises. There is at least one x_8 for which if x_8 works, then x_8 is not a police officer. For all x_8, if x_8 plays tennis, then x_8 is a police officer. For all x_8, x_8 will play tennis or x_8 will sleep. For all x_8, x_8 is a police officer if and only if x_8 will sleep. Can we infer the following from them? For all x_8, x_8 will work.
 From the fact that for all x_8, x_8 is a police officer if and only if x_8 will sleep we can infer that for all x_8, if x_8 sleeps, then x_8 is a police officer. From the fact that for all x_8, if x_8 plays tennis, then x_8 is a police officer, that for all x_8, if x_8 sleeps, then x_8 is a police officer, and that for all x_8, x_8 will play tennis or x_8 will sleep we can infer that for all x_8, x_8 is a police officer. Finally, from the fact that there is at least one x_8 for which if x_8 works, then x_8 is not a police officer, and that for all x_8, x_8 is a police officer we can infer that there is at least one x_8 for which x_8 will not work, which contradicts that For all x_8, x_8 will work. Therefore, the answer is no.