Consider the following premises. If it is windy, then Barbara is reading a book. Barbara is reading a book if and only if Richard is making tea. If Richard makes tea, then it is windy. Can we infer the following from them? It is windy if and only if Barbara is reading a book.
 From the fact that Barbara is reading a book if and only if Richard is making tea we can infer that if Barbara reads a book, then Richard is making tea. From the fact that if Barbara reads a book, then Richard is making tea, and that if Richard makes tea, then it is windy we can infer that if Barbara reads a book, then it is windy. Finally, from the fact that if it is windy, then Barbara is reading a book, and that if Barbara reads a book, then it is windy we can infer that it is windy if and only if Barbara is reading a book. Therefore, the answer is yes.