Translate the following inference to logic notation: There is at least one x for which x_1 will read a book if and only if x_1 is a politician. For all x, if x_1 were a politician, then x_1 is a lawyer. For all x, x_1 is not a lawyer. Therefore there is at least one x for which x_1 will not read a book.
exists x: P(x) <-> Q(x). forall x: Q(x) -> R(x). forall x: ~R(x). Therefore exists x: ~P(x).