Consider the following premises. If it is windy, then Michael is reading a book. If Michael reads a book, then Robert is listening to a song. If Robert listens to a song, then it is windy. If Michael reads a book, then it is windy. Can we infer the following from them? If is not true that Michael is reading a book if and only if it is windy.
That contradicts the premises. Therefore the answer is no.