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 x_8, x_8 will play squash or x_8 is a politician. For all x_8, if x_8 were a sailor, then x_8 is driving a car. For all x_8, if x_8 plays squash, then x_8 is a sailor. There is at least one x_8 for which x_8 is a politician if and only if x_8 will drive a car.
For all x_8, if x_8 plays squash, then x_8 is driving a car can be inferred via the universal transitivity rule. There is at least one x_8 for which if x_8 were a politician, then x_8 is driving a car can be inferred via the existential biconditional elimination rule. There is at least one x_8 for which if x_8 drives a car, then x_8 is a politician can be inferred via the existential biconditional elimination rule.