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: If Thomas were poor, then Thomas is an artist. For all x_13, if x_13 listens to a song, then x_13 is poor. For all x_13, x_13 will listen to a song if and only if x_13 is an artist.
For all x_13, if x_13 listens to a song, then x_13 is an artist can be inferred via the universal biconditional elimination rule. For all x_13, if x_13 were an artist, then x_13 is listening to a song can be inferred via the universal biconditional elimination rule.