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 plays a game, then it is cloudy. If it is cloudy, then Thomas is playing a game. Jennifer is not driving a car. If it is cloudy, then Jennifer is driving a car.
It is not cloudy can be inferred via the modus tollens rule. If Thomas plays a game, then Jennifer is driving a car can be inferred via the transitivity rule. Thomas is playing a game if and only if it is cloudy can be inferred via the biconditional introduction rule. It is cloudy if and only if Thomas is playing a game can be inferred via the biconditional introduction rule.