Consider the following premises. There is at least one x_8 for which if x_8 reads a book, then x_8 is a writer. For all x_8, if x_8 reads a book, then x_8 is a writer. For all x_8, x_8 is a writer if and only if x_8 will read a book. Can we infer the following from them? If we can, name the inference rule being used: For all x_8, if is not true that x_8 will read a book if and only if x_8 is a writer.
That contradicts the premises. Therefore the answer is no.