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: It is cold if and only if William is a soldier. Michael is an office clerk. If Michael were an office clerk, then William is a soldier.
William is a soldier can be inferred via the modus ponens rule. If it is cold, then William is a soldier can be inferred via the biconditional elimination rule. If William were a soldier, then it is cold can be inferred via the biconditional elimination rule.