Consider the following premises. For all x, if x were a politician, then x is playing squash. For all x, if x plays squash, then x is a politician. There is at least one x for which if x plays squash, then x is a politician. Can we infer the following from them? There is at least one x for which if x were a politician, then x is playing squash.
 From the fact that there is at least one x for which if x plays squash, then x is a politician, and that for all x, if x were a politician, then x is playing squash we can infer that there is at least one x for which x will play squash if and only if x is a politician. Finally, from the fact that there is at least one x for which x will play squash if and only if x is a politician we can infer that there is at least one x for which if x were a politician, then x is playing squash. Therefore, the answer is yes.