Translate the following inference to logic notation: For all x, x is a writer if and only if x is a mechanic. There is at least one x for which x will drink water. For all x, x is a writer or x is an artist. For all x, if x were an artist, then x is a mechanic. Therefore there is at least one x for which x will drink water and x is a mechanic.
forall x: P(x) <-> Q(x). exists x: R(x). forall x: P(x) or S(x). forall x: S(x) -> Q(x). Therefore exists x: R(x) and Q(x).