Consider the following premises. If Michael were a doctor, then it is cold. It is sunny if and only if it is cold. Michael is a doctor. Can we infer the following from them? It is not sunny.
 From the fact that it is sunny if and only if it is cold we can infer that if it is cold, then it is sunny. From the fact that if Michael were a doctor, then it is cold, and that Michael is a doctor we can infer that it is cold. Finally, from the fact that if it is cold, then it is sunny, and that it is cold we can infer that it is sunny, which contradicts that It is not sunny. Therefore, the answer is no.