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 y, if y reads a book, then y is running. For all y, y will not read a book. For all y, if y goes running, then y is reading a book.
For all y, y will not go running can be inferred via the universal modus tollens rule. For all y, y will read a book if and only if y will go running can be inferred via the universal biconditional introduction rule. For all y, y will go running if and only if y will read a book can be inferred via the universal biconditional introduction rule.