Translate the following inference to logic notation: For all x, x_10 is a scientist if and only if x_10 is poor. For all x, x_10 is fast. For all x, x_10 is a scientist or x_10 will climb a mountain. For all x, if x_10 climbs a mountain, then x_10 is poor. Therefore David is poor.
forall x: P(x) <-> Q(x). forall x: R(x). forall x: P(x) or S(x). forall x: S(x) -> Q(x). Therefore Q(a).