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 is a bartender if and only if x_8 is a writer. For all x_8, x_8 will not read a book. For all x_8, if x_8 were a bartender, then x_8 is reading a book.
For all x_8, x_8 is not a bartender can be inferred via the universal modus tollens rule. For all x_8, if x_8 were a bartender, then x_8 is a writer can be inferred via the universal biconditional elimination rule. For all x_8, if x_8 were a writer, then x_8 is a bartender can be inferred via the universal biconditional elimination rule.