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 Thomas were a soldier, then it is raining. Thomas is a soldier if and only if it is windy. If it rains, then it is windy.
If Thomas were a soldier, then it is windy can be inferred via the transitivity rule. If Thomas were a soldier, then it is windy can be inferred via the biconditional elimination rule. If it is windy, then Thomas is a soldier can be inferred via the biconditional elimination rule.