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 z, if z listens to a song, then z is a politician. For all z, if z goes running, then z is listening to a song. For all z, z will go running if and only if z is a politician. For all z, if z goes running, then z is a politician.
For all z, if z goes running, then z is a politician can be inferred via the universal transitivity rule. For all z, if z goes running, then z is a politician can be inferred via the universal biconditional elimination rule. For all z, if z were a politician, then z is running can be inferred via the universal biconditional elimination rule.