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 David were a soldier, then it is cloudy. David is a soldier if and only if it is cold. If it is cloudy, then it is cold.
If David were a soldier, then it is cold can be inferred via the transitivity rule. If David were a soldier, then it is cold can be inferred via the biconditional elimination rule. If it is cold, then David is a soldier can be inferred via the biconditional elimination rule.