Consider the following premises. For all x_9, x_9 will play tennis. It is cold if and only if Elisabeth is playing tennis. If Elisabeth were poor, then it is cold. Can we infer the following from them? It is not cold.
 From the fact that for all x_9, x_9 will play tennis we can infer that for all x_9, x_9 will play tennis or x_9 is poor. From the fact that for all x_9, x_9 will play tennis or x_9 is poor we can infer that Elisabeth is playing tennis or Elisabeth is poor. From the fact that it is cold if and only if Elisabeth is playing tennis we can infer that if Elisabeth plays tennis, then it is cold. Finally, from the fact that if Elisabeth plays tennis, then it is cold, that if Elisabeth were poor, then it is cold, and that Elisabeth is playing tennis or Elisabeth is poor we can infer that it is cold, which contradicts that It is not cold. Therefore, the answer is no.