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 is cold, then it is snowing. If it snows, then it is cloudy. It is snowing if and only if it is cloudy. If it is cloudy, then it is cold.
If it is cold, then it is cloudy can be inferred via the transitivity rule. If it snows, then it is cold can be inferred via the transitivity rule. If it is cloudy, then it is snowing can be inferred via the transitivity rule. If it snows, then it is cloudy can be inferred via the biconditional elimination rule. If it is cloudy, then it is snowing can be inferred via the biconditional elimination rule.