Consider the following premises. For all x_9, if x_9 were bored, then x_9 is not sad. For all x_9, if x_9 were bored, then x_9 is a doctor. For all x_9, if x_9 were a doctor, then x_9 is bored. There is at least one x_9 for which x_9 is sad. Can we infer the following from them? For all x_9, x_9 is a doctor.
 From the fact that for all x_9, if x_9 were bored, then x_9 is a doctor, and that for all x_9, if x_9 were a doctor, then x_9 is bored we can infer that for all x_9, x_9 is bored if and only if x_9 is a doctor. From the fact that for all x_9, if x_9 were bored, then x_9 is not sad, and that there is at least one x_9 for which x_9 is sad we can infer that there is at least one x_9 for which x_9 is not bored. Finally, from the fact that for all x_9, x_9 is bored if and only if x_9 is a doctor, and that there is at least one x_9 for which x_9 is not bored we can infer that there is at least one x_9 for which x_9 is not a doctor, which contradicts that For all x_9, x_9 is a doctor. Therefore, the answer is no.