Consider the following premises. For all y_4, y_4 is bored if and only if y_4 is sad. For all y_4, y_4 is sad if and only if y_4 is an artist. There is at least one y_4 for which y_4 is not an artist. Can we infer the following from them? There is at least one y_4 for which y_4 is not bored.
 From the fact that for all y_4, y_4 is sad if and only if y_4 is an artist, and that there is at least one y_4 for which y_4 is not an artist we can infer that there is at least one y_4 for which y_4 is not sad. From the fact that for all y_4, y_4 is bored if and only if y_4 is sad we can infer that for all y_4, if y_4 were bored, then y_4 is sad. Finally, from the fact that for all y_4, if y_4 were bored, then y_4 is sad, and that there is at least one y_4 for which y_4 is not sad we can infer that there is at least one y_4 for which y_4 is not bored. Therefore, the answer is yes.