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