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 x for which x is a police officer if and only if x is bored. For all x, if x sleeps, then x is a police officer. For all x, if x were bored, then x is sleeping.
For all x, if x were bored, then x is a police officer can be inferred via the universal transitivity rule. There is at least one x for which if x were a police officer, then x is bored can be inferred via the existential biconditional elimination rule. There is at least one x for which if x were bored, then x is a police officer can be inferred via the existential biconditional elimination rule.