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 windy if and only if it is overcast. Sarah is not playing a game. If it is cloudy, then Sarah is playing a game. If it is overcast, then it is windy. It is windy if and only if it is cloudy.
It is not cloudy can be inferred via the modus tollens rule. If it is windy, then it is overcast can be inferred via the biconditional elimination rule. If it is windy, then it is cloudy can be inferred via the biconditional elimination rule. If it is overcast, then it is windy can be inferred via the biconditional elimination rule. If it is cloudy, then it is windy can be inferred via the biconditional elimination rule.