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: If Michael were a soldier, then Michael is climbing a mountain. If Michael climbs a mountain, then Michael is a soldier. Michael is not a soldier.
Michael is not climbing a mountain can be inferred via the modus tollens rule. Michael is a soldier if and only if Michael is climbing a mountain can be inferred via the biconditional introduction rule. Michael is climbing a mountain if and only if Michael is a soldier can be inferred via the biconditional introduction rule.