Consider the following premises. For all z, if z writes a letter, then z is a janitor. For all z, if z works, then z is writing a letter. For all z, if z plays a game, then z is a lawyer. For all z, if z were a lawyer, then z is working. Can we infer the following from them? If we can, name the inference rule being used: For all z, if z plays a game, then z is a lawyer.
That is one of the premises. Therefore, the answer is yes.