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: Michael is a bartender if and only if William is a carpenter. If Michael were a bartender, then Thomas is sad.
If Michael were a bartender, then William is a carpenter can be inferred via the biconditional elimination rule. If William were a carpenter, then Michael is a bartender can be inferred via the biconditional elimination rule.