Consider the following premises. For all x_8, x_8 will write a letter if and only if x_8 is a police officer. For all x_8, if x_8 were a musician, then x_8 is a soldier. For all x_8, if x_8 were a soldier, then x_8 is writing a letter. There is at least one x_8 for which x_8 is a police officer or x_8 is a musician. Can we infer the following from them? For all x_8, x_8 will not write a letter.
 From the fact that for all x_8, x_8 will write a letter if and only if x_8 is a police officer we can infer that for all x_8, if x_8 were a police officer, then x_8 is writing a letter. From the fact that for all x_8, if x_8 were a musician, then x_8 is a soldier, and that for all x_8, if x_8 were a soldier, then x_8 is writing a letter we can infer that for all x_8, if x_8 were a musician, then x_8 is writing a letter. Finally, from the fact that for all x_8, if x_8 were a police officer, then x_8 is writing a letter, that for all x_8, if x_8 were a musician, then x_8 is writing a letter, and that there is at least one x_8 for which x_8 is a police officer or x_8 is a musician we can infer that there is at least one x_8 for which x_8 will write a letter, which contradicts that For all x_8, x_8 will not write a letter. Therefore, the answer is no.