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