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 it snows, then it is cold. John is not cooking. It is cold if and only if John is cooking.
If it is cold, then John is cooking can be inferred via the biconditional elimination rule. If John cooks, then it is cold can be inferred via the biconditional elimination rule. It is not cold can be inferred via the biconditional elimination rule.