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 Patricia is playing a game.
If it is cloudy, then Patricia is playing a game can be inferred via the biconditional elimination rule. If Patricia plays a game, then it is cloudy can be inferred via the biconditional elimination rule.