Consider the following premises. For all x_2, if x_2 were poor, then x_2 is working. For all x_2, if x_2 works, then x_2 is climbing a mountain. There is at least one x_2 for which if x_2 climbs a mountain, then x_2 is a politician. Can we infer the following from them? There is at least one x_2 for which if x_2 were poor, then x_2 is a politician.
 From the fact that for all x_2, if x_2 works, then x_2 is climbing a mountain, and that there is at least one x_2 for which if x_2 climbs a mountain, then x_2 is a politician we can infer that there is at least one x_2 for which if x_2 works, then x_2 is a politician. Finally, from the fact that for all x_2, if x_2 were poor, then x_2 is working, and that there is at least one x_2 for which if x_2 works, then x_2 is a politician we can infer that there is at least one x_2 for which if x_2 were poor, then x_2 is a politician. Therefore, the answer is yes.