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: Jessica is a nurse if and only if it is windy. It is windy or it is not cloudy.
If it is cloudy, then it is windy can be inferred via the rewriting rule. If Jessica were a nurse, then it is windy can be inferred via the biconditional elimination rule. If it is windy, then Jessica is a nurse can be inferred via the biconditional elimination rule.