Consider the following premises. For all x_16, if x_16 climbs a mountain, then x_16 is a soldier. For all x_16, x_16 is excited. For all x_16, x_16 will climb a mountain or x_16 is a janitor. For all x_16, if x_16 were a janitor, then x_16 is a soldier. It is windy. Can we infer the following from them? If we can, name the inference rule being used: Patricia is excited and it is windy.
 From the fact that for all x_16, if x_16 climbs a mountain, then x_16 is a soldier, that for all x_16, if x_16 were a janitor, then x_16 is a soldier, and that for all x_16, x_16 will climb a mountain or x_16 is a janitor we can infer that for all x_16, x_16 is a soldier via universal disjunction elimination. From the fact that for all x_16, x_16 is excited, and that for all x_16, x_16 is a soldier we can infer that for all x_16, x_16 is excited and x_16 is a soldier via universal conjunction. From the fact that for all x_16, x_16 is excited and x_16 is a soldier we can infer that Patricia is excited and Patricia is a soldier via universal instantiation. From the fact that Patricia is excited and Patricia is a soldier we can infer that Patricia is excited via simplification. Finally, from the fact that Patricia is excited, and that it is windy we can infer that Patricia is excited and it is windy via conjunction. Therefore, the answer is yes.