Translate the following inference to logic notation: For all x, if x_1 were a politician, then x_1 is reading a book. For all x, if x_1 makes tea, then x_1 is a politician. There is at least one x for which if x_1 writes a letter, then x_1 is making tea. Therefore there is at least one x for which if x_1 writes a letter, then x_1 is reading a book.
forall x: P(x) -> Q(x). forall x: R(x) -> P(x). exists x: S(x) -> R(x). Therefore exists x: S(x) -> Q(x).