Translate the following inference to logic notation: For all x, if x_5 cooks, then x_5 is climbing a mountain. For all x, x_5 will climb a mountain if and only if x_5 is a musician. For all x, x_5 will cook. Therefore for all x, x_5 will climb a mountain.
forall x: P(x) -> Q(x). forall x: Q(x) <-> R(x). forall x: P(x). Therefore forall x: Q(x).