Consider the following premises. If Joseph plays tennis, then it is windy. If it is windy, then Sarah is climbing a mountain. If Karen were a politician, then Joseph is playing tennis. If Sarah climbs a mountain, then Karen is a politician. Can we infer the following from them? If Karen were a politician, then it is windy.
 From the fact that if it is windy, then Sarah is climbing a mountain, and that if Sarah climbs a mountain, then Karen is a politician we can infer that if it is windy, then Karen is a politician. Finally, from the fact that if Karen were a politician, then Joseph is playing tennis, and that if Joseph plays tennis, then it is windy we can infer that if Karen were a politician, then it is windy. Therefore, the answer is yes.