Consider the following premises. For all x_1, if x_1 plays a game, then x_1 is a mechanic. For all x_1, x_1 will play a game. For all x_1, x_1 is a lawyer. Can we infer the following from them? If we can, name the inference rule being used: For all x_1, x_1 is a mechanic and x_1 is a lawyer.
 From the fact that for all x_1, if x_1 plays a game, then x_1 is a mechanic, and that for all x_1, x_1 will play a game we can infer that for all x_1, x_1 is a mechanic via universal modus ponens. Finally, from the fact that for all x_1, x_1 is a mechanic, and that for all x_1, x_1 is a lawyer we can infer that for all x_1, x_1 is a mechanic and x_1 is a lawyer via universal conjunction. Therefore, the answer is yes.