Consider the following premises. For all x_5, x_5 will play squash. For all x_5, if x_5 plays squash, then x_5 is a writer. For all x_5, x_5 will sleep and x_5 is a lawyer. Can we infer the following from them? For all x_5, x_5 is a writer and x_5 will sleep.
 From the fact that for all x_5, if x_5 plays squash, then x_5 is a writer, and that for all x_5, x_5 will play squash we can infer that for all x_5, x_5 is a writer. From the fact that for all x_5, x_5 will sleep and x_5 is a lawyer we can infer that for all x_5, x_5 will sleep. Finally, from the fact that for all x_5, x_5 is a writer, and that for all x_5, x_5 will sleep we can infer that for all x_5, x_5 is a writer and x_5 will sleep. Therefore, the answer is yes.