Consider the following premises. For all x_8, if x_8 goes running, then x_8 is bored. There is at least one x_8 for which x_8 will play tennis. For all x_8, x_8 is bored if and only if x_8 will take a plane. For all x_8, x_8 will go running or x_8 will take a plane. Can we infer the following from them? If we can, name the inference rule being used: There is at least one x_8 for which x_8 will play tennis and x_8 is bored.
 From the fact that for all x_8, x_8 is bored if and only if x_8 will take a plane we can infer that for all x_8, if x_8 takes a plane, then x_8 is bored via universal biconditional elimination. From the fact that for all x_8, if x_8 goes running, then x_8 is bored, that for all x_8, if x_8 takes a plane, then x_8 is bored, and that for all x_8, x_8 will go running or x_8 will take a plane we can infer that for all x_8, x_8 is bored via universal disjunction elimination. Finally, from the fact that there is at least one x_8 for which x_8 will play tennis, and that for all x_8, x_8 is bored we can infer that there is at least one x_8 for which x_8 will play tennis and x_8 is bored via existential conjunction. Therefore, the answer is yes.