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_11, if x_11 listens to a song, then x_11 is running. For all x_11, x_11 is an astronaut if and only if x_11 will listen to a song. For all x_11, x_11 is an astronaut if and only if x_11 is an electrician.
For all x_11, if x_11 were an astronaut, then x_11 is listening to a song can be inferred via the universal biconditional elimination rule. For all x_11, if x_11 were an astronaut, then x_11 is an electrician can be inferred via the universal biconditional elimination rule. For all x_11, if x_11 listens to a song, then x_11 is an astronaut can be inferred via the universal biconditional elimination rule. For all x_11, if x_11 were an electrician, then x_11 is an astronaut can be inferred via the universal biconditional elimination rule.