Consider the following premises. There is at least one x for which x will go running if and only if x will play tennis. For all x, x will read a book if and only if x will go running. Can we infer the following from them? If we can, name the inference rule being used: For all x, the fact that x reads a book does not imply that x is playing tennis.
 From the fact that there is at least one x for which x will go running if and only if x will play tennis we can infer that there is at least one x for which if x goes running, then x is playing tennis via existential biconditional elimination. Finally, from the fact that for all x, x will read a book if and only if x will go running we can infer that for all x, if x reads a book, then x is running via universal biconditional elimination, which contradicts that For all x, the fact that x reads a book does not imply that x is playing tennis. Therefore, the answer is no.