Consider the following premises. For all x_8, if x_8 were poor, then x_8 is reading a book. For all x_8, if x_8 reads a book, then x_8 is poor. If Elisabeth were poor, then Elisabeth is reading a book. Can we infer the following from them? If we can, name the inference rule being used: If is not true that Elisabeth is poor if and only if Elisabeth is reading a book.
That contradicts the premises. Therefore the answer is no.