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_10, if x_10 were excited, then x_10 is a nurse. For all x_10, x_10 is excited if and only if x_10 is a carpenter. For all x_10, x_10 is a carpenter. There is at least one x_10 for which if x_10 goes running, then x_10 is a nurse.
For all x_10, if x_10 were excited, then x_10 is a carpenter can be inferred via the universal biconditional elimination rule. For all x_10, if x_10 were a carpenter, then x_10 is excited can be inferred via the universal biconditional elimination rule.