Consider the following premises. For all y_3, y_3 is a lawyer or y_3 is happy. For all y_3, y_3 is happy if and only if y_3 will go running. For all y_3, if y_3 were a lawyer, then y_3 is running. Can we infer the following from them? For all y_3, y_3 will go running or y_3 is a janitor.
 From the fact that for all y_3, y_3 is happy if and only if y_3 will go running we can infer that for all y_3, if y_3 were happy, then y_3 is running. From the fact that for all y_3, if y_3 were a lawyer, then y_3 is running, that for all y_3, if y_3 were happy, then y_3 is running, and that for all y_3, y_3 is a lawyer or y_3 is happy we can infer that for all y_3, y_3 will go running. Finally, from the fact that for all y_3, y_3 will go running we can infer that for all y_3, y_3 will go running or y_3 is a janitor. Therefore, the answer is yes.