Consider the following premises. For all x_9, if x_9 were a doctor, then x_9 is bored. There is at least one x_9 for which if x_9 were bored, then x_9 is not working. For all x_9, if x_9 were sad, then x_9 is a doctor. For all x_9, x_9 will work. Can we infer the following from them? If we can, name the inference rule being used: For all x_9, if x_9 were sad, then x_9 is a doctor.
That is one of the premises. Therefore, the answer is yes.