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 windy, then Charles is taking a plane. It is not raining. It is windy if and only if it is raining. It is raining if and only if Charles is taking a plane.
If it is windy, then it is raining can be inferred via the biconditional elimination rule. If it rains, then Charles is taking a plane can be inferred via the biconditional elimination rule. If it rains, then it is windy can be inferred via the biconditional elimination rule. If Charles takes a plane, then it is raining can be inferred via the biconditional elimination rule. Charles is not taking a plane can be inferred via the biconditional elimination rule. It is not windy can be inferred via the biconditional elimination rule.