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