Translate the following inference to logic notation: For all x, z will read a book if and only if z is a mechanic. For all x, z is excited. For all x, z is a mechanic. Therefore for all x, z will read a book and z is excited.
forall x: P(x) <-> Q(x). forall x: R(x). forall x: Q(x). Therefore forall x: P(x) and R(x).