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: It is cloudy if and only if Jessica is running. If it is cloudy, then Michael is sleeping. Jessica is not running. If Michael sleeps, then it is cloudy.
It is cloudy if and only if Michael is sleeping can be inferred via the biconditional introduction rule. Michael is sleeping if and only if it is cloudy can be inferred via the biconditional introduction rule. If it is cloudy, then Jessica is running can be inferred via the biconditional elimination rule. If Jessica goes running, then it is cloudy can be inferred via the biconditional elimination rule. It is not cloudy can be inferred via the biconditional elimination rule.