Consider the following premises. For all x_5, x_5 is not fast. For all x_5, x_5 is a carpenter or x_5 is excited. For all x_5, if x_5 were a carpenter, then x_5 is fast. For all x_5, x_5 is a police officer. Can we infer the following from them? For all x_5, x_5 is a police officer and x_5 is excited.
 From the fact that for all x_5, if x_5 were a carpenter, then x_5 is fast, and that for all x_5, x_5 is not fast we can infer that for all x_5, x_5 is not a carpenter. From the fact that for all x_5, x_5 is a carpenter or x_5 is excited, and that for all x_5, x_5 is not a carpenter we can infer that for all x_5, x_5 is excited. Finally, from the fact that for all x_5, x_5 is a police officer, and that for all x_5, x_5 is excited we can infer that for all x_5, x_5 is a police officer and x_5 is excited. Therefore, the answer is yes.