Consider the following premises. For all x_2, if x_2 sleeps, then x_2 is sad. For all x_2, x_2 is a mechanic or x_2 will play tennis. For all x_2, if x_2 plays tennis, then x_2 is sad. For all x_2, x_2 is not a mechanic or x_2 will sleep. Can we infer the following from them? For all x_2, x_2 is sad.
 From the fact that for all x_2, x_2 is a mechanic or x_2 will play tennis, and that for all x_2, x_2 is not a mechanic or x_2 will sleep we can infer that for all x_2, x_2 will play tennis or x_2 will sleep. Finally, from the fact that for all x_2, if x_2 plays tennis, then x_2 is sad, that for all x_2, if x_2 sleeps, then x_2 is sad, and that for all x_2, x_2 will play tennis or x_2 will sleep we can infer that for all x_2, x_2 is sad. Therefore, the answer is yes.