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 y, y is excited. There is at least one y for which if y were a doctor, then y is a nurse. For all y, y is a doctor.
There is at least one y for which y is a nurse can be inferred via the existential modus ponens rule. For all y, y is excited and y is a doctor can be inferred via the universal conjunction rule. For all y, y is a doctor and y is excited can be inferred via the universal conjunction rule.