Translate the following inference to logic notation: For all x, z is curious and z is a poet. There is at least one x for which if z reads a book, then z is curious. For all x, if z were curious, then z is reading a book. Therefore there is at least one x for which z will read a book.
forall x: P(x) and Q(x). exists x: R(x) -> P(x). forall x: P(x) -> R(x). Therefore exists x: R(x).