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