Consider the following premises. If Susan were a carpenter, then it is not raining. It is raining and John is a server. If Susan were not a carpenter, then Richard is a doctor. If it is sunny, then Richard is a doctor. Can we infer the following from them? Richard is a doctor.
 From the fact that it is raining and John is a server we can infer that it is raining. From the fact that if Susan were a carpenter, then it is not raining, and that it is raining we can infer that Susan is not a carpenter. From the fact that Susan is not a carpenter we can infer that Susan is not a carpenter or it is sunny. Finally, from the fact that if Susan were not a carpenter, then Richard is a doctor, that if it is sunny, then Richard is a doctor, and that Susan is not a carpenter or it is sunny we can infer that Richard is a doctor. Therefore, the answer is yes.