Consider the following premises. For all x_17, x_17 will write a letter if and only if x_17 will sleep. For all x_17, x_17 is not poor. For all x_17, x_17 is poor if and only if x_17 is bored. There is at least one x_17 for which if x_17 writes a letter, then x_17 is bored. Can we infer the following from them? For all x_17, x_17 will sleep.
 From the fact that for all x_17, x_17 is poor if and only if x_17 is bored we can infer that for all x_17, if x_17 were bored, then x_17 is poor. From the fact that there is at least one x_17 for which if x_17 writes a letter, then x_17 is bored, and that for all x_17, if x_17 were bored, then x_17 is poor we can infer that there is at least one x_17 for which if x_17 writes a letter, then x_17 is poor. From the fact that there is at least one x_17 for which if x_17 writes a letter, then x_17 is poor, and that for all x_17, x_17 is not poor we can infer that there is at least one x_17 for which x_17 will not write a letter. Finally, from the fact that for all x_17, x_17 will write a letter if and only if x_17 will sleep, and that there is at least one x_17 for which x_17 will not write a letter we can infer that there is at least one x_17 for which x_17 will not sleep, which contradicts that For all x_17, x_17 will sleep. Therefore, the answer is no.