Consider the following premises. There is at least one x_6 for which if x_6 were a carpenter, then x_6 is a politician. For all x_6, if x_6 were a taxi driver, then x_6 is a carpenter. For all x_6, x_6 is a politician if and only if x_6 is poor. Can we infer the following from them? There is at least one x_6 for which if x_6 were a taxi driver, then x_6 is poor.
 From the fact that for all x_6, if x_6 were a taxi driver, then x_6 is a carpenter, and that there is at least one x_6 for which if x_6 were a carpenter, then x_6 is a politician we can infer that there is at least one x_6 for which if x_6 were a taxi driver, then x_6 is a politician. From the fact that for all x_6, x_6 is a politician if and only if x_6 is poor we can infer that for all x_6, if x_6 were a politician, then x_6 is poor. Finally, from the fact that there is at least one x_6 for which if x_6 were a taxi driver, then x_6 is a politician, and that for all x_6, if x_6 were a politician, then x_6 is poor we can infer that there is at least one x_6 for which if x_6 were a taxi driver, then x_6 is poor. Therefore, the answer is yes.