Consider the following premises. For all x, x will cook if and only if x is bored. There is at least one x for which if x takes a plane, then x is rich. For all x, if x were rich, then x is bored. Can we infer the following from them? There is at least one x for which if x takes a plane, then x is cooking.
 From the fact that for all x, x will cook if and only if x is bored we can infer that for all x, if x were bored, then x is cooking. From the fact that for all x, if x were rich, then x is bored, and that for all x, if x were bored, then x is cooking we can infer that for all x, if x were rich, then x is cooking. Finally, from the fact that there is at least one x for which if x takes a plane, then x is rich, and that for all x, if x were rich, then x is cooking we can infer that there is at least one x for which if x takes a plane, then x is cooking. Therefore, the answer is yes.