Consider the following premises. For all x_7, x_7 is not a lawyer or x_7 is a nurse. For all x_7, x_7 is a lawyer. There is at least one x_7 for which if x_7 drives a car, then x_7 is working. For all x_7, x_7 is a nurse if and only if x_7 will work. Can we infer the following from them? If we can, name the inference rule being used: For all x_7, x_7 is a nurse if and only if x_7 will work.
That is one of the premises. Therefore, the answer is yes.