Consider the following premises. Mary is not rich. It is raining if and only if Mary is rich. It is raining if and only if it is windy. Can we infer the following from them? It is windy.
 From the fact that it is raining if and only if Mary is rich we can infer that if it rains, then Mary is rich. From the fact that if it rains, then Mary is rich, and that Mary is not rich we can infer that it is not raining. Finally, from the fact that it is raining if and only if it is windy, and that it is not raining we can infer that it is not windy, which contradicts that It is windy. Therefore, the answer is no.