Consider the following premises. For all x_15, x_15 will drive a car. For all x_15, x_15 is a police officer or x_15 is not excited. For all x_15, x_15 is excited or x_15 will write a letter. There is at least one x_15 for which if x_15 were a police officer, then x_15 is not driving a car. Can we infer the following from them? There is at least one x_15 for which x_15 will write a letter.
 From the fact that there is at least one x_15 for which if x_15 were a police officer, then x_15 is not driving a car, and that for all x_15, x_15 will drive a car we can infer that there is at least one x_15 for which x_15 is not a police officer. From the fact that for all x_15, x_15 is a police officer or x_15 is not excited we can infer that for all x_15, if x_15 were excited, then x_15 is a police officer. From the fact that for all x_15, if x_15 were excited, then x_15 is a police officer, and that there is at least one x_15 for which x_15 is not a police officer we can infer that there is at least one x_15 for which x_15 is not excited. Finally, from the fact that for all x_15, x_15 is excited or x_15 will write a letter, and that there is at least one x_15 for which x_15 is not excited we can infer that there is at least one x_15 for which x_15 will write a letter. Therefore, the answer is yes.