Translate the following inference to logic notation: For all x, if x_6 climbs a mountain, then x_6 is reading a book. For all x, x_6 will climb a mountain or x_6 will not cook. For all x, if x_6 reads a book, then x_6 is cooking. Therefore for all x, x_6 will cook if and only if x_6 will read a book.
forall x: P(x) -> Q(x). forall x: P(x) or ~R(x). forall x: Q(x) -> R(x). Therefore forall x: R(x) <-> Q(x).