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: There is at least one z for which if z were excited, then z is a musician. For all z, z is a musician. For all z, if z were a musician, then z is excited.
For all z, z is excited can be inferred via the universal modus ponens rule. There is at least one z for which z is excited if and only if z is a musician can be inferred via the existential biconditional introduction rule. There is at least one z for which z is a musician if and only if z is excited can be inferred via the existential biconditional introduction rule.