Consider the following premises. For all x_13, x_13 is an astronaut. For all x_13, if x_13 were an astronaut, then x_13 is a mechanic. For all x_13, x_13 is a poet. For all x_13, if x_13 were a mechanic, then x_13 is drinking water. Can we infer the following from them? If we can, name the inference rule being used: For all x_13, x_13 will drink water or x_13 is a bartender.
 From the fact that for all x_13, x_13 is an astronaut, and that for all x_13, x_13 is a poet we can infer that for all x_13, x_13 is an astronaut and x_13 is a poet via universal conjunction. From the fact that for all x_13, if x_13 were an astronaut, then x_13 is a mechanic, and that for all x_13, if x_13 were a mechanic, then x_13 is drinking water we can infer that for all x_13, if x_13 were an astronaut, then x_13 is drinking water via universal transitivity. From the fact that for all x_13, x_13 is an astronaut and x_13 is a poet we can infer that for all x_13, x_13 is an astronaut via universal simplification. From the fact that for all x_13, if x_13 were an astronaut, then x_13 is drinking water, and that for all x_13, x_13 is an astronaut we can infer that for all x_13, x_13 will drink water via universal modus ponens. Finally, from the fact that for all x_13, x_13 will drink water we can infer that for all x_13, x_13 will drink water or x_13 is a bartender via universal addition. Therefore, the answer is yes.