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, x_5 will work. For all x_5, if x_5 works, then x_5 is a nurse. For all x_5, x_5 will read a book if and only if x_5 is a nurse.
For all x_5, x_5 is a nurse can be inferred via the universal modus ponens rule. For all x_5, if x_5 reads a book, then x_5 is a nurse can be inferred via the universal biconditional elimination rule. For all x_5, if x_5 were a nurse, then x_5 is reading a book can be inferred via the universal biconditional elimination rule.