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: For all z, z will play squash if and only if z is a lawyer. There is at least one z for which z is a lawyer if and only if z will drive a car.
For all z, if z plays squash, then z is a lawyer can be inferred via the universal biconditional elimination rule. There is at least one z for which if z were a lawyer, then z is driving a car can be inferred via the existential biconditional elimination rule. For all z, if z were a lawyer, then z is playing squash can be inferred via the universal biconditional elimination rule. There is at least one z for which if z drives a car, then z is a lawyer can be inferred via the existential biconditional elimination rule.