Consider the following premises. For all x_2, if x_2 were a sailor, then x_2 is climbing a mountain. For all x_2, x_2 is a soldier. For all x_2, if x_2 climbs a mountain, then x_2 is not a soldier. Can we infer the following from them? If we can, name the inference rule being used: For all x_2, x_2 is not a sailor.
 From the fact that for all x_2, if x_2 climbs a mountain, then x_2 is not a soldier, and that for all x_2, x_2 is a soldier we can infer that for all x_2, x_2 will not climb a mountain via universal modus tollens. Finally, from the fact that for all x_2, if x_2 were a sailor, then x_2 is climbing a mountain, and that for all x_2, x_2 will not climb a mountain we can infer that for all x_2, x_2 is not a sailor via universal modus tollens. Therefore, the answer is yes.