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: There is at least one x for which if x were bored, then x is driving a car. For all x, x will make tea if and only if x will drive a car. For all x, if x drives a car, then x is bored.
There is at least one x for which x is bored if and only if x will drive a car can be inferred via the existential biconditional introduction rule. There is at least one x for which x will drive a car if and only if x is bored can be inferred via the existential biconditional introduction rule. For all x, if x makes tea, then x is driving a car can be inferred via the universal biconditional elimination rule. For all x, if x drives a car, then x is making tea can be inferred via the universal biconditional elimination rule.