Consider the following premises. For all x_8, x_8 will play squash. For all x_8, x_8 will climb a mountain if and only if x_8 will cook. For all x_8, if x_8 climbs a mountain, then x_8 is not playing squash. Can we infer the following from them? For all x_8, x_8 will not cook.
 From the fact that for all x_8, x_8 will climb a mountain if and only if x_8 will cook we can infer that for all x_8, if x_8 cooks, then x_8 is climbing a mountain. From the fact that for all x_8, if x_8 climbs a mountain, then x_8 is not playing squash, and that for all x_8, x_8 will play squash we can infer that for all x_8, x_8 will not climb a mountain. Finally, from the fact that for all x_8, if x_8 cooks, then x_8 is climbing a mountain, and that for all x_8, x_8 will not climb a mountain we can infer that for all x_8, x_8 will not cook. Therefore, the answer is yes.