Consider the following premises. For all x_2, if x_2 sleeps, then x_2 is climbing a mountain. For all x_2, if x_2 climbs a mountain, then x_2 is an electrician. For all x_2, x_2 is not an electrician. For all x_2, if x_2 climbs a mountain, then x_2 is sleeping. Can we infer the following from them? For all x_2, x_2 will not sleep.
 From the fact that for all x_2, if x_2 climbs a mountain, then x_2 is an electrician, and that for all x_2, x_2 is not an electrician we can infer that for all x_2, x_2 will not climb a mountain. From the fact that for all x_2, if x_2 climbs a mountain, then x_2 is sleeping, and that for all x_2, if x_2 sleeps, then x_2 is climbing a mountain we can infer that for all x_2, x_2 will climb a mountain if and only if x_2 will sleep. Finally, from the fact that for all x_2, x_2 will climb a mountain if and only if x_2 will sleep, and that for all x_2, x_2 will not climb a mountain we can infer that for all x_2, x_2 will not sleep. Therefore, the answer is yes.