Consider the following premises. Joseph is not a lawyer. If Joseph were a lawyer, then Joseph is playing a game. For all y, y is a lawyer or y will not play a game. Can we infer the following from them? Joseph is playing a game.
 From the fact that for all y, y is a lawyer or y will not play a game we can infer that for all y, if y plays a game, then y is a lawyer. From the fact that for all y, if y plays a game, then y is a lawyer we can infer that if Joseph plays a game, then Joseph is a lawyer. From the fact that if Joseph plays a game, then Joseph is a lawyer, and that if Joseph were a lawyer, then Joseph is playing a game we can infer that Joseph is playing a game if and only if Joseph is a lawyer. Finally, from the fact that Joseph is playing a game if and only if Joseph is a lawyer, and that Joseph is not a lawyer we can infer that Joseph is not playing a game, which contradicts that Joseph is playing a game. Therefore, the answer is no.