Consider the following premises. For all x_7, if x_7 were a carpenter, then x_7 is a nurse. For all x_7, x_7 is bored if and only if x_7 is a carpenter. For all x_7, x_7 is bored. Can we infer the following from them? For all x_7, x_7 is a nurse.
 From the fact that for all x_7, x_7 is bored if and only if x_7 is a carpenter we can infer that for all x_7, if x_7 were bored, then x_7 is a carpenter. From the fact that for all x_7, if x_7 were bored, then x_7 is a carpenter, and that for all x_7, x_7 is bored we can infer that for all x_7, x_7 is a carpenter. Finally, from the fact that for all x_7, if x_7 were a carpenter, then x_7 is a nurse, and that for all x_7, x_7 is a carpenter we can infer that for all x_7, x_7 is a nurse. Therefore, the answer is yes.