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 not raining. It is raining if and only if it is late. It is cloudy. If it is windy, then it is late.
It is not raining and it is cloudy can be inferred via the conjunction rule. It is cloudy and it is not raining can be inferred via the conjunction rule. If it rains, then it is late can be inferred via the biconditional elimination rule. If it is late, then it is raining can be inferred via the biconditional elimination rule. It is not late can be inferred via the biconditional elimination rule.