Consider the following premises. For all x_11, x_11 is a nurse if and only if x_11 is an electrician. For all x_11, x_11 will sleep or x_11 is an electrician. There is at least one x_11 for which x_11 will not sleep or x_11 is curious. For all x_11, x_11 is a nurse or x_11 is not curious. Can we infer the following from them? If we can, name the inference rule being used: There is at least one x_11 for which x_11 is a nurse.
 From the fact that for all x_11, x_11 will sleep or x_11 is an electrician, and that there is at least one x_11 for which x_11 will not sleep or x_11 is curious we can infer that there is at least one x_11 for which x_11 is an electrician or x_11 is curious via existential resolution. From the fact that for all x_11, x_11 is a nurse if and only if x_11 is an electrician we can infer that for all x_11, if x_11 were an electrician, then x_11 is a nurse via universal biconditional elimination. From the fact that for all x_11, x_11 is a nurse or x_11 is not curious we can infer that for all x_11, if x_11 were curious, then x_11 is a nurse via universal rewriting. Finally, from the fact that for all x_11, if x_11 were an electrician, then x_11 is a nurse, that for all x_11, if x_11 were curious, then x_11 is a nurse, and that there is at least one x_11 for which x_11 is an electrician or x_11 is curious we can infer that there is at least one x_11 for which x_11 is a nurse via existential disjunction elimination. Therefore, the answer is yes.