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