Translate the following inference to logic notation: For all x, x is a lawyer or x will not write a letter. For all x, x is a carpenter if and only if x is a server. For all x, if x were a lawyer, then x is a server. Therefore for all x, if x writes a letter, then x is a carpenter.
forall x: P(x) or ~Q(x). forall x: R(x) <-> S(x). forall x: P(x) -> S(x). Therefore forall x: Q(x) -> R(x).