Consider the following premises. There is at least one x_7 for which x_7 is an artist if and only if x_7 will cook. For all x_7, x_7 will not play squash or x_7 is bored. For all x_7, x_7 will play squash or x_7 will cook. For all x_7, if x_7 were bored, then x_7 is an artist. Can we infer the following from them? If we can, name the inference rule being used: There is at least one x_7 for which x_7 is an artist.
 From the fact that there is at least one x_7 for which x_7 is an artist if and only if x_7 will cook we can infer that there is at least one x_7 for which if x_7 cooks, then x_7 is an artist via existential biconditional elimination. From the fact that for all x_7, x_7 will play squash or x_7 will cook, and that for all x_7, x_7 will not play squash or x_7 is bored we can infer that for all x_7, x_7 will cook or x_7 is bored via universal resolution. Finally, from the fact that there is at least one x_7 for which if x_7 cooks, then x_7 is an artist, that for all x_7, if x_7 were bored, then x_7 is an artist, and that for all x_7, x_7 will cook or x_7 is bored we can infer that there is at least one x_7 for which x_7 is an artist via existential disjunction elimination. Therefore, the answer is yes.