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_5, if x_5 were a scientist, then x_5 is a doctor. For all x_5, if x_5 were a doctor, then x_5 is a scientist. For all x_5, if x_5 were curious, then x_5 is a scientist. For all x_5, x_5 is not a doctor.
For all x_5, x_5 is not a scientist can be inferred via the universal modus tollens rule. For all x_5, if x_5 were curious, then x_5 is a doctor can be inferred via the universal transitivity rule. For all x_5, x_5 is a scientist if and only if x_5 is a doctor can be inferred via the universal biconditional introduction rule. For all x_5, x_5 is a doctor if and only if x_5 is a scientist can be inferred via the universal biconditional introduction rule.