What can be inferred from the following premises in a single inference step (ignoring inferences that add new predicates or constants)? Name the inference rule being used: For all x, x will listen to a song if and only if x is poor. There is at least one x for which x will listen to a song.
For all x, if x listens to a song, then x is poor can be inferred via the universal biconditional elimination rule. For all x, if x were poor, then x is listening to a song can be inferred via the universal biconditional elimination rule.