Consider the following premises. Barbara is a scientist if and only if it is snowing. For all x_10, x_10 is not a scientist. It is raining if and only if it is snowing. Can we infer the following from them? It is not raining.
 From the fact that for all x_10, x_10 is not a scientist we can infer that Barbara is not a scientist. From the fact that Barbara is a scientist if and only if it is snowing, and that Barbara is not a scientist we can infer that it is not snowing. Finally, from the fact that it is raining if and only if it is snowing, and that it is not snowing we can infer that it is not raining. Therefore, the answer is yes.