Consider the following premises. For all x_9, x_9 is poor. There is at least one x_9 for which x_9 is poor if and only if x_9 is an astronaut. For all x_9, x_9 is not an astronaut. Can we infer the following from them? There is at least one x_9 for which x_9 is a carpenter.
 From the fact that there is at least one x_9 for which x_9 is poor if and only if x_9 is an astronaut, and that for all x_9, x_9 is not an astronaut we can infer that there is at least one x_9 for which x_9 is not poor. From the fact that for all x_9, x_9 is poor we can infer that for all x_9, x_9 is poor or x_9 is a carpenter. Finally, from the fact that for all x_9, x_9 is poor or x_9 is a carpenter, and that there is at least one x_9 for which x_9 is not poor we can infer that there is at least one x_9 for which x_9 is a carpenter. Therefore, the answer is yes. Notice, however, that the premises were contradictory, so we can infer anything from them.