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, x will read a book. For all x, if x were a bartender, then x is rich. For all x, x is rich if and only if x will read a book. For all x, if x reads a book, then x is rich.
For all x, x is rich can be inferred via the universal modus ponens rule. For all x, if x were rich, then x is reading a book can be inferred via the universal biconditional elimination rule. For all x, if x reads a book, then x is rich can be inferred via the universal biconditional elimination rule.