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