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: Elisabeth is an astronaut if and only if Jennifer is driving a car. Patricia is a politician or Michael is a writer. If Michael were a writer, then it is raining. If Patricia were a politician, then it is raining. Jennifer is not driving a car.
It is raining can be inferred via the disjunction elimination rule. If Elisabeth were an astronaut, then Jennifer is driving a car can be inferred via the biconditional elimination rule. If Jennifer drives a car, then Elisabeth is an astronaut can be inferred via the biconditional elimination rule. Elisabeth is not an astronaut can be inferred via the biconditional elimination rule.