Consider the following premises. For all x_9, x_9 is rich. For all x_9, x_9 will go running. For all x_9, if x_9 were a carpenter, then x_9 is writing a letter. For all x_9, if x_9 goes running, then x_9 is a carpenter. Can we infer the following from them? For all x_9, x_9 will write a letter.
 From the fact that for all x_9, x_9 will go running, and that for all x_9, x_9 is rich we can infer that for all x_9, x_9 will go running and x_9 is rich. From the fact that for all x_9, if x_9 goes running, then x_9 is a carpenter, and that for all x_9, if x_9 were a carpenter, then x_9 is writing a letter we can infer that for all x_9, if x_9 goes running, then x_9 is writing a letter. From the fact that for all x_9, x_9 will go running and x_9 is rich we can infer that for all x_9, x_9 will go running. Finally, from the fact that for all x_9, if x_9 goes running, then x_9 is writing a letter, and that for all x_9, x_9 will go running we can infer that for all x_9, x_9 will write a letter. Therefore, the answer is yes.