Consider the following premises. For all x_7, x_7 will not sleep. For all x_7, x_7 will work if and only if x_7 is poor. For all x_7, if x_7 were poor, then x_7 is sleeping. Can we infer the following from them? For all x_7, if x_7 were poor, then x_7 is sleeping.
That is one of the premises. Therefore, the answer is yes.