Translate the following inference to logic notation: For all x, z_3 is a politician if and only if z_3 is a scientist. For all x, z_3 is not a politician. For all x, z_3 is a scientist or z_3 is fast. Therefore Michael is fast.
forall x: P(x) <-> Q(x). forall x: ~P(x). forall x: Q(x) or R(x). Therefore R(a).