Consider the following premises. For all x_7, x_7 is fast or x_7 will not climb a mountain. For all x_7, x_7 will climb a mountain or x_7 is not fast. For all x_7, x_7 is not fast. Can we infer the following from them? For all x_7, x_7 will not climb a mountain.
 From the fact that for all x_7, x_7 is fast or x_7 will not climb a mountain we can infer that for all x_7, if x_7 climbs a mountain, then x_7 is fast. From the fact that for all x_7, x_7 will climb a mountain or x_7 is not fast we can infer that for all x_7, if x_7 were fast, then x_7 is climbing a mountain. From the fact that for all x_7, if x_7 climbs a mountain, then x_7 is fast, and that for all x_7, if x_7 were fast, then x_7 is climbing a mountain we can infer that for all x_7, x_7 will climb a mountain if and only if x_7 is fast. Finally, from the fact that for all x_7, x_7 will climb a mountain if and only if x_7 is fast, and that for all x_7, x_7 is not fast we can infer that for all x_7, x_7 will not climb a mountain. Therefore, the answer is yes.