Consider the following premises. For all y, y is not a lawyer or y is a nurse. For all y, if y were a musician, then y is playing a game. There is at least one y for which y is a lawyer or y is a musician. For all y, y will play a game if and only if y is a nurse. Can we infer the following from them? If we can, name the inference rule being used: For all y, y will not play a game.
 From the fact that for all y, y will play a game if and only if y is a nurse we can infer that for all y, if y were a nurse, then y is playing a game via universal biconditional elimination. From the fact that there is at least one y for which y is a lawyer or y is a musician, and that for all y, y is not a lawyer or y is a nurse we can infer that there is at least one y for which y is a musician or y is a nurse via existential resolution. Finally, from the fact that for all y, if y were a musician, then y is playing a game, that for all y, if y were a nurse, then y is playing a game, and that there is at least one y for which y is a musician or y is a nurse we can infer that there is at least one y for which y will play a game via existential disjunction elimination, which contradicts that For all y, y will not play a game. Therefore, the answer is no.