Consider the following premises. If Thomas drives a car, then it is raining. If it rains, then Susan is a politician. If Robert were fast, then Susan is a politician. Thomas is driving a car or Robert is fast. Karen is cooking. Can we infer the following from them? Susan is a politician and Karen is cooking.
 From the fact that if Thomas drives a car, then it is raining, and that if it rains, then Susan is a politician we can infer that if Thomas drives a car, then Susan is a politician. From the fact that if Thomas drives a car, then Susan is a politician, that if Robert were fast, then Susan is a politician, and that Thomas is driving a car or Robert is fast we can infer that Susan is a politician. Finally, from the fact that Susan is a politician, and that Karen is cooking we can infer that Susan is a politician and Karen is cooking. Therefore, the answer is yes.