Consider the following premises. Joseph is sleeping if and only if David is a politician. David is not a politician. Barbara is reading a book. If Barbara reads a book, then it is late. Can we infer the following from them? Joseph is sleeping.
 From the fact that Joseph is sleeping if and only if David is a politician we can infer that if Joseph sleeps, then David is a politician. From the fact that if Barbara reads a book, then it is late, and that Barbara is reading a book we can infer that it is late. Finally, from the fact that if Joseph sleeps, then David is a politician, and that David is not a politician we can infer that Joseph is not sleeping, which contradicts that Joseph is sleeping. Therefore, the answer is no.