Consider the following premises. Charles is taking a plane if and only if it is windy. If John listens to a song, then Charles is taking a plane. If it is windy, then John is listening to a song. Can we infer the following from them? If is not true that it is windy if and only if John is listening to a song.
 From the fact that Charles is taking a plane if and only if it is windy we can infer that if Charles takes a plane, then it is windy. From the fact that if John listens to a song, then Charles is taking a plane, and that if Charles takes a plane, then it is windy we can infer that if John listens to a song, then it is windy. Finally, from the fact that if it is windy, then John is listening to a song, and that if John listens to a song, then it is windy we can infer that it is windy if and only if John is listening to a song, which contradicts that If is not true that it is windy if and only if John is listening to a song. Therefore, the answer is no.