Consider the following premises. For all x_13, if x_13 makes tea, then x_13 is an astronaut. For all x_13, if x_13 were an astronaut, then x_13 is making tea. For all x_13, if x_13 makes tea, then x_13 is sad. For all x_13, x_13 is bored if and only if x_13 is an astronaut. Can we infer the following from them? For all x_13, if x_13 were bored, then x_13 is sad.
 From the fact that for all x_13, if x_13 makes tea, then x_13 is an astronaut, and that for all x_13, if x_13 were an astronaut, then x_13 is making tea we can infer that for all x_13, x_13 will make tea if and only if x_13 is an astronaut. From the fact that for all x_13, x_13 is bored if and only if x_13 is an astronaut we can infer that for all x_13, if x_13 were bored, then x_13 is an astronaut. From the fact that for all x_13, x_13 will make tea if and only if x_13 is an astronaut we can infer that for all x_13, if x_13 were an astronaut, then x_13 is making tea. From the fact that for all x_13, if x_13 were bored, then x_13 is an astronaut, and that for all x_13, if x_13 were an astronaut, then x_13 is making tea we can infer that for all x_13, if x_13 were bored, then x_13 is making tea. Finally, from the fact that for all x_13, if x_13 were bored, then x_13 is making tea, and that for all x_13, if x_13 makes tea, then x_13 is sad we can infer that for all x_13, if x_13 were bored, then x_13 is sad. Therefore, the answer is yes.