Translate the following inference to logic notation: For all x, x_6 is an office clerk if and only if x_6 will climb a mountain. For all x, x_6 is an office clerk or x_6 is not an astronaut. Therefore for all x, if x_6 were an astronaut, then x_6 is climbing a mountain.
forall x: P(x) <-> Q(x). forall x: P(x) or ~R(x). Therefore forall x: R(x) -> Q(x).