Consider the following premises. It is not cold. If it is overcast, then it is snowing. It is cold if and only if it is cloudy. If it snows, then it is cloudy. Can we infer the following from them? If we can, name the inference rule being used: It is overcast.
 From the fact that it is cold if and only if it is cloudy, and that it is not cold we can infer that it is not cloudy via biconditional elimination. From the fact that if it snows, then it is cloudy, and that it is not cloudy we can infer that it is not snowing via modus tollens. Finally, from the fact that if it is overcast, then it is snowing, and that it is not snowing we can infer that it is not overcast via modus tollens, which contradicts that It is overcast. Therefore, the answer is no.