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 Karen is bored. Richard is sleeping and it is cloudy. Karen is bored if and only if Richard is sleeping.
Richard is sleeping can be inferred via the simplification rule. It is cloudy can be inferred via the simplification rule. If Karen were bored, then Richard is sleeping can be inferred via the biconditional elimination rule. If Richard sleeps, then Karen is bored can be inferred via the biconditional elimination rule.