Consider the following premises. For all x, x will take a plane or x will not play a game. For all x, if x were a poet, then x is playing a game. For all x, if x takes a plane, then x is a janitor. Can we infer the following from them? If we can, name the inference rule being used: For all x, if x were a poet, then x is a janitor.
 From the fact that for all x, x will take a plane or x will not play a game we can infer that for all x, if x plays a game, then x is taking a plane via universal rewriting. From the fact that for all x, if x plays a game, then x is taking a plane, and that for all x, if x takes a plane, then x is a janitor we can infer that for all x, if x plays a game, then x is a janitor via universal transitivity. Finally, from the fact that for all x, if x were a poet, then x is playing a game, and that for all x, if x plays a game, then x is a janitor we can infer that for all x, if x were a poet, then x is a janitor via universal transitivity. Therefore, the answer is yes.