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 go running if and only if x_8 is a nurse. There is at least one x_8 for which x_8 is a nurse if and only if x_8 will work.
For all x_8, if x_8 goes running, then x_8 is a nurse can be inferred via the universal biconditional elimination rule. There is at least one x_8 for which if x_8 were a nurse, then x_8 is working can be inferred via the existential biconditional elimination rule. For all x_8, if x_8 were a nurse, then x_8 is running can be inferred via the universal biconditional elimination rule. There is at least one x_8 for which if x_8 works, then x_8 is a nurse can be inferred via the existential biconditional elimination rule.