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_10, x_10 will work if and only if x_10 is a doctor. There is at least one x_10 for which x_10 will work if and only if x_10 is a doctor.
For all x_10, if x_10 works, then x_10 is a doctor can be inferred via the universal biconditional elimination rule. There is at least one x_10 for which if x_10 works, then x_10 is a doctor can be inferred via the existential biconditional elimination rule. For all x_10, if x_10 were a doctor, then x_10 is working can be inferred via the universal biconditional elimination rule. There is at least one x_10 for which if x_10 were a doctor, then x_10 is working can be inferred via the existential biconditional elimination rule.