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: Elisabeth is a police officer if and only if it is windy. It is overcast if and only if Patricia is driving a car. Elisabeth is a police officer if and only if it is overcast. It is not cloudy. It is cloudy if and only if Patricia is driving a car.
If Elisabeth were a police officer, then it is windy can be inferred via the biconditional elimination rule. If it is overcast, then Patricia is driving a car can be inferred via the biconditional elimination rule. If Elisabeth were a police officer, then it is overcast can be inferred via the biconditional elimination rule. If it is cloudy, then Patricia is driving a car can be inferred via the biconditional elimination rule. If it is windy, then Elisabeth is a police officer can be inferred via the biconditional elimination rule. If Patricia drives a car, then it is overcast can be inferred via the biconditional elimination rule. If it is overcast, then Elisabeth is a police officer can be inferred via the biconditional elimination rule. If Patricia drives a car, then it is cloudy can be inferred via the biconditional elimination rule. Patricia is not driving a car can be inferred via the biconditional elimination rule.