Consider the following premises. For all x_10, x_10 is poor if and only if x_10 is excited. There is at least one x_10 for which x_10 will not climb a mountain. For all x_10, x_10 will climb a mountain if and only if x_10 is poor. Can we infer the following from them? There is at least one x_10 for which x_10 is not excited.
 From the fact that for all x_10, x_10 will climb a mountain if and only if x_10 is poor, and that there is at least one x_10 for which x_10 will not climb a mountain we can infer that there is at least one x_10 for which x_10 is not poor. From the fact that for all x_10, x_10 is poor if and only if x_10 is excited we can infer that for all x_10, if x_10 were excited, then x_10 is poor. Finally, from the fact that for all x_10, if x_10 were excited, then x_10 is poor, and that there is at least one x_10 for which x_10 is not poor we can infer that there is at least one x_10 for which x_10 is not excited. Therefore, the answer is yes.