Consider the following premises. For all y, y is an astronaut. For all y, if y were an astronaut, then y is happy. For all y, y is rich. Can we infer the following from them? If we can, name the inference rule being used: Susan is happy.
 From the fact that for all y, if y were an astronaut, then y is happy, and that for all y, y is an astronaut we can infer that for all y, y is happy via universal modus ponens. From the fact that for all y, y is happy, and that for all y, y is rich we can infer that for all y, y is happy and y is rich via universal conjunction. From the fact that for all y, y is happy and y is rich we can infer that for all y, y is happy via universal simplification. Finally, from the fact that for all y, y is happy we can infer that Susan is happy via universal instantiation. Therefore, the answer is yes.