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 cold. If it is cold, then Jessica is working. William is playing tennis if and only if Jessica is working. William is playing tennis if and only if Elisabeth is driving a car.
Jessica is working can be inferred via the modus ponens rule. If William plays tennis, then Jessica is working can be inferred via the biconditional elimination rule. If William plays tennis, then Elisabeth is driving a car can be inferred via the biconditional elimination rule. If Jessica works, then William is playing tennis can be inferred via the biconditional elimination rule. If Elisabeth drives a car, then William is playing tennis can be inferred via the biconditional elimination rule.