Consider the following premises. If it is windy, then it is raining. Jessica is a nurse if and only if it is windy. If it rains, then Jessica is a nurse. Can we infer the following from them? If is not true that it is raining if and only if it is windy.
 From the fact that Jessica is a nurse if and only if it is windy we can infer that if Jessica were a nurse, then it is windy. From the fact that if it rains, then Jessica is a nurse, and that if Jessica were a nurse, then it is windy we can infer that if it rains, then it is windy. Finally, from the fact that if it rains, then it is windy, and that if it is windy, then it is raining we can infer that it is raining if and only if it is windy, which contradicts that If is not true that it is raining if and only if it is windy. Therefore, the answer is no.