Consider the following premises. For all x_5, x_5 is a musician. For all x_5, x_5 is an electrician if and only if x_5 is bored. For all x_5, if x_5 were a musician, then x_5 is bored. Can we infer the following from them? If we can, name the inference rule being used: For all x_5, x_5 is bored.
 From the fact that for all x_5, x_5 is an electrician if and only if x_5 is bored we can infer that for all x_5, if x_5 were an electrician, then x_5 is bored via universal biconditional elimination. From the fact that for all x_5, x_5 is a musician we can infer that for all x_5, x_5 is a musician or x_5 is an electrician via universal addition. Finally, from the fact that for all x_5, if x_5 were a musician, then x_5 is bored, that for all x_5, if x_5 were an electrician, then x_5 is bored, and that for all x_5, x_5 is a musician or x_5 is an electrician we can infer that for all x_5, x_5 is bored via universal disjunction elimination. Therefore, the answer is yes.