Consider the following premises. For all x_7, x_7 will sleep if and only if x_7 is bored. For all x_7, if x_7 cooks, then x_7 is bored. For all x_7, x_7 will cook or x_7 will sleep. Can we infer the following from them? For all x_7, x_7 is bored or x_7 is sad.
 From the fact that for all x_7, x_7 will sleep if and only if x_7 is bored we can infer that for all x_7, if x_7 sleeps, then x_7 is bored. From the fact that for all x_7, if x_7 cooks, then x_7 is bored, that for all x_7, if x_7 sleeps, then x_7 is bored, and that for all x_7, x_7 will cook or x_7 will sleep we can infer that for all x_7, x_7 is bored. Finally, from the fact that for all x_7, x_7 is bored we can infer that for all x_7, x_7 is bored or x_7 is sad. Therefore, the answer is yes.