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_5, if x_5 listens to a song, then x_5 is playing tennis. For all x_5, if x_5 plays tennis, then x_5 is listening to a song. For all x_5, x_5 will not make tea. For all x_5, x_5 will make tea if and only if x_5 will listen to a song.
For all x_5, x_5 will listen to a song if and only if x_5 will play tennis can be inferred via the universal biconditional introduction rule. For all x_5, x_5 will play tennis if and only if x_5 will listen to a song can be inferred via the universal biconditional introduction rule. For all x_5, if x_5 makes tea, then x_5 is listening to a song can be inferred via the universal biconditional elimination rule. For all x_5, if x_5 listens to a song, then x_5 is making tea can be inferred via the universal biconditional elimination rule. For all x_5, x_5 will not listen to a song can be inferred via the universal biconditional elimination rule.