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, x is an office clerk if and only if x is excited. For all x, x is an office clerk or x is not excited. For all x, if x were excited, then x is an office clerk.
For all x, if x were excited, then x is an office clerk can be inferred via the universal rewriting rule. For all x, if x were an office clerk, then x is excited can be inferred via the universal biconditional elimination rule. For all x, if x were excited, then x is an office clerk can be inferred via the universal biconditional elimination rule.