Consider the following premises. If it snows, then John is not a scientist. If it is sunny, then it is snowing. John is a scientist. If it snows, then it is sunny. Can we infer the following from them? It is not sunny.
 From the fact that if it snows, then John is not a scientist, and that John is a scientist we can infer that it is not snowing. From the fact that if it is sunny, then it is snowing, and that if it snows, then it is sunny we can infer that it is sunny if and only if it is snowing. Finally, from the fact that it is sunny if and only if it is snowing, and that it is not snowing we can infer that it is not sunny. Therefore, the answer is yes.