Consider the following premises. For all x_12, if x_12 were bored, then x_12 is a nurse. For all x_12, x_12 is bored or x_12 is not a nurse. There is at least one x_12 for which x_12 will work if and only if x_12 is a nurse. Can we infer the following from them? If we can, name the inference rule being used: For all x_12, x_12 is bored or x_12 is not a nurse.
That is one of the premises. Therefore, the answer is yes.