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_8, x_8 is a musician. For all x_8, x_8 is a bartender if and only if x_8 is a musician. For all x_8, x_8 will listen to a song.
For all x_8, x_8 is a musician and x_8 will listen to a song can be inferred via the universal conjunction rule. For all x_8, x_8 will listen to a song and x_8 is a musician can be inferred via the universal conjunction rule. For all x_8, if x_8 were a bartender, then x_8 is a musician can be inferred via the universal biconditional elimination rule. For all x_8, if x_8 were a musician, then x_8 is a bartender can be inferred via the universal biconditional elimination rule.