Consider the following premises. If it is sunny, then it is windy. It is not windy. It is sunny or Thomas is not a politician. If it is windy, then it is sunny. Can we infer the following from them? Thomas is not a politician.
 From the fact that if it is sunny, then it is windy, and that if it is windy, then it is sunny we can infer that it is sunny if and only if it is windy. From the fact that it is sunny or Thomas is not a politician we can infer that if Thomas were a politician, then it is sunny. From the fact that it is sunny if and only if it is windy, and that it is not windy we can infer that it is not sunny. Finally, from the fact that if Thomas were a politician, then it is sunny, and that it is not sunny we can infer that Thomas is not a politician. Therefore, the answer is yes.