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