Consider the following premises. For all x_10, x_10 is a nurse. For all x_10, x_10 will go running or x_10 is not a nurse. For all x_10, x_10 will go running if and only if x_10 will climb a mountain. Can we infer the following from them? For all x_10, x_10 will go running.
 From the fact that for all x_10, x_10 will go running if and only if x_10 will climb a mountain we can infer that for all x_10, if x_10 climbs a mountain, then x_10 is running. From the fact that for all x_10, x_10 is a nurse we can infer that for all x_10, x_10 is a nurse or x_10 will climb a mountain. From the fact that for all x_10, x_10 will go running or x_10 is not a nurse we can infer that for all x_10, if x_10 were a nurse, then x_10 is running. Finally, from the fact that for all x_10, if x_10 were a nurse, then x_10 is running, that for all x_10, if x_10 climbs a mountain, then x_10 is running, and that for all x_10, x_10 is a nurse or x_10 will climb a mountain we can infer that for all x_10, x_10 will go running. Therefore, the answer is yes.