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 rains, then Thomas is running. If Thomas goes running, then it is raining. If Thomas doesn't go running, then Thomas is sleeping. It is not windy. It is raining if and only if it is windy.
It is raining if and only if Thomas is running can be inferred via the biconditional introduction rule. Thomas is running if and only if it is raining can be inferred via the biconditional introduction rule. If it rains, then it is windy can be inferred via the biconditional elimination rule. If it is windy, then it is raining can be inferred via the biconditional elimination rule. It is not raining can be inferred via the biconditional elimination rule.