Consider the following premises. For all x_6, x_6 is happy or x_6 is not a poet. For all x_6, x_6 is a poet and x_6 is curious. Can we infer the following from them? If we can, name the inference rule being used: For all x_6, x_6 is happy.
 From the fact that for all x_6, x_6 is happy or x_6 is not a poet we can infer that for all x_6, if x_6 were a poet, then x_6 is happy via universal rewriting. From the fact that for all x_6, x_6 is a poet and x_6 is curious we can infer that for all x_6, x_6 is a poet via universal simplification. Finally, from the fact that for all x_6, if x_6 were a poet, then x_6 is happy, and that for all x_6, x_6 is a poet we can infer that for all x_6, x_6 is happy via universal modus ponens. Therefore, the answer is yes.