Consider the following premises. If Michael were a nurse, then it is late. Sarah is a police officer if and only if Michael is a nurse. Michael is a nurse or it is not late. It is not late. Can we infer the following from them? Sarah is not a police officer.
 From the fact that Michael is a nurse or it is not late we can infer that if it is late, then Michael is a nurse. From the fact that if Michael were a nurse, then it is late, and that if it is late, then Michael is a nurse we can infer that Michael is a nurse if and only if it is late. From the fact that Michael is a nurse if and only if it is late, and that it is not late we can infer that Michael is not a nurse. Finally, from the fact that Sarah is a police officer if and only if Michael is a nurse, and that Michael is not a nurse we can infer that Sarah is not a police officer. Therefore, the answer is yes.