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_10, x_10 is bored. For all x_10, if x_10 were a politician, then x_10 is a poet. For all x_10, x_10 is a politician or x_10 will listen to a song. For all x_10, x_10 will listen to a song if and only if x_10 is a poet.
For all x_10, if x_10 listens to a song, then x_10 is a poet can be inferred via the universal biconditional elimination rule. For all x_10, if x_10 were a poet, then x_10 is listening to a song can be inferred via the universal biconditional elimination rule.