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