Consider the following premises. If Robert were a carpenter, then Jennifer is a police officer. If Robert were a carpenter, then it is not raining. It is raining. If Jennifer were a police officer, then Robert is a carpenter. Can we infer the following from them? Jennifer is not a police officer.
 From the fact that if Robert were a carpenter, then Jennifer is a police officer, and that if Jennifer were a police officer, then Robert is a carpenter we can infer that Robert is a carpenter if and only if Jennifer is a police officer. From the fact that if Robert were a carpenter, then it is not raining, and that it is raining we can infer that Robert is not a carpenter. Finally, from the fact that Robert is a carpenter if and only if Jennifer is a police officer, and that Robert is not a carpenter we can infer that Jennifer is not a police officer. Therefore, the answer is yes.