Consider the following premises. For all x_5, x_5 is a carpenter. For all x_5, if x_5 were a carpenter, then x_5 is bored. For all x_5, if x_5 were bored, then x_5 is playing tennis. Can we infer the following from them? If we can, name the inference rule being used: For all x_5, x_5 will play tennis or x_5 is a server.
 From the fact that for all x_5, if x_5 were a carpenter, then x_5 is bored, and that for all x_5, if x_5 were bored, then x_5 is playing tennis we can infer that for all x_5, if x_5 were a carpenter, then x_5 is playing tennis via universal transitivity. From the fact that for all x_5, if x_5 were a carpenter, then x_5 is playing tennis, and that for all x_5, x_5 is a carpenter we can infer that for all x_5, x_5 will play tennis via universal modus ponens. Finally, from the fact that for all x_5, x_5 will play tennis we can infer that for all x_5, x_5 will play tennis or x_5 is a server via universal addition. Therefore, the answer is yes.