Consider the following premises. For all x, x is a police officer. For all x, x is a soldier if and only if x is a police officer. Can we infer the following from them? If we can, name the inference rule being used: Linda is a soldier or it is raining.
 From the fact that for all x, x is a soldier if and only if x is a police officer we can infer that for all x, if x were a police officer, then x is a soldier via universal biconditional elimination. From the fact that for all x, if x were a police officer, then x is a soldier, and that for all x, x is a police officer we can infer that for all x, x is a soldier via universal modus ponens. From the fact that for all x, x is a soldier we can infer that Linda is a soldier via universal instantiation. Finally, from the fact that Linda is a soldier we can infer that Linda is a soldier or it is raining via addition. Therefore, the answer is yes.