Consider the following premises. For all x_8, x_8 is rich if and only if x_8 will sleep. For all x_8, if x_8 were a writer, then x_8 is sleeping. For all x_8, x_8 is not a lawyer. For all x_8, x_8 is rich if and only if x_8 is a lawyer. Can we infer the following from them? For all x_8, x_8 is not a writer.
 From the fact that for all x_8, x_8 is rich if and only if x_8 is a lawyer, and that for all x_8, x_8 is not a lawyer we can infer that for all x_8, x_8 is not rich. From the fact that for all x_8, x_8 is rich if and only if x_8 will sleep, and that for all x_8, x_8 is not rich we can infer that for all x_8, x_8 will not sleep. Finally, from the fact that for all x_8, if x_8 were a writer, then x_8 is sleeping, and that for all x_8, x_8 will not sleep we can infer that for all x_8, x_8 is not a writer. Therefore, the answer is yes.