Consider the following premises. For all x_6, if x_6 works, then x_6 is a janitor. For all x_6, x_6 will work or x_6 is not a soldier. For all x_6, if x_6 were a janitor, then x_6 is a soldier. Can we infer the following from them? For all x_6, x_6 will work if and only if x_6 is a soldier.
 From the fact that for all x_6, x_6 will work or x_6 is not a soldier we can infer that for all x_6, if x_6 were a soldier, then x_6 is working. From the fact that for all x_6, if x_6 works, then x_6 is a janitor, and that for all x_6, if x_6 were a janitor, then x_6 is a soldier we can infer that for all x_6, if x_6 works, then x_6 is a soldier. Finally, from the fact that for all x_6, if x_6 works, then x_6 is a soldier, and that for all x_6, if x_6 were a soldier, then x_6 is working we can infer that for all x_6, x_6 will work if and only if x_6 is a soldier. Therefore, the answer is yes.