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, y will read a book if and only if y is curious. It is late if and only if Joseph is reading a book. It is not late.
If it is late, then Joseph is reading a book can be inferred via the biconditional elimination rule. If Joseph reads a book, then it is late can be inferred via the biconditional elimination rule. Joseph is not reading a book can be inferred via the biconditional elimination rule. For all y, if y reads a book, then y is curious can be inferred via the universal biconditional elimination rule. For all y, if y were curious, then y is reading a book can be inferred via the universal biconditional elimination rule.