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 drive a car if and only if x_8 is a scientist. For all x_8, x_8 will not drive a car. Jennifer is a scientist if and only if it is cloudy.
If Jennifer were a scientist, then it is cloudy can be inferred via the biconditional elimination rule. If it is cloudy, then Jennifer is a scientist can be inferred via the biconditional elimination rule. For all x_8, if x_8 drives a car, then x_8 is a scientist can be inferred via the universal biconditional elimination rule. For all x_8, if x_8 were a scientist, then x_8 is driving a car can be inferred via the universal biconditional elimination rule. For all x_8, x_8 is not a scientist can be inferred via the universal biconditional elimination rule.