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 is cloudy, then it is raining. It is windy if and only if Patricia is playing tennis. It is raining if and only if it is windy. Patricia is not playing tennis.
If it is windy, then Patricia is playing tennis can be inferred via the biconditional elimination rule. If it rains, then it is windy can be inferred via the biconditional elimination rule. If Patricia plays tennis, 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.