Consider the following premises. For all x, x will work if and only if x is excited. For all x, if x were excited, then x is working. Can we infer the following from them? There is at least one x for which the fact that x works does not imply that x is excited.
 From the fact that for all x, x will work if and only if x is excited we can infer that for all x, if x works, then x is excited. From the fact that for all x, if x works, then x is excited, and that for all x, if x were excited, then x is working we can infer that for all x, x will work if and only if x is excited. Finally, from the fact that for all x, x will work if and only if x is excited we can infer that for all x, if x works, then x is excited, which contradicts that There is at least one x for which the fact that x works does not imply that x is excited. Therefore, the answer is no.