Consider the following premises. For all x_10, x_10 will work or x_10 will not sleep. For all x_10, if x_10 sleeps, then x_10 is working. For all x_10, if x_10 works, then x_10 is sleeping. Can we infer the following from them? If we can, name the inference rule being used: For all x_10, if x_10 works, then x_10 is sleeping.
That is one of the premises. Therefore, the answer is yes.