Consider the following premises. There is at least one y for which if y were a nurse, then y is a mechanic. For all y, y is excited. For all y, if y were excited, then y is a nurse. Can we infer the following from them? If we can, name the inference rule being used: There is at least one y for which if y were a nurse, then y is a mechanic.
That is one of the premises. Therefore, the answer is yes.