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: Mary is not sad. It is cold if and only if Mary is sad. If Michael were rich, then it is cold.
If it is cold, then Mary is sad can be inferred via the biconditional elimination rule. If Mary were sad, then it is cold can be inferred via the biconditional elimination rule. It is not cold can be inferred via the biconditional elimination rule.