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 y for which y will drive a car if and only if y will work. For all y, y is a soldier if and only if y will drive a car. For all y, y is not a soldier.
For all y, if y were a soldier, then y is driving a car can be inferred via the universal biconditional elimination rule. There is at least one y for which if y drives a car, then y is working can be inferred via the existential biconditional elimination rule. For all y, if y drives a car, then y is a soldier can be inferred via the universal biconditional elimination rule. There is at least one y for which if y works, then y is driving a car can be inferred via the existential biconditional elimination rule. For all y, y will not drive a car can be inferred via the universal biconditional elimination rule.