Translate the following inference to logic notation: For all x, if y reads a book, then y is a police officer. For all x, y is a police officer or y will not read a book. For all x, if y were a police officer, then y is reading a book. Therefore for all x, if y were a police officer, then y is reading a book.
forall x: P(x) -> Q(x). forall x: Q(x) or ~P(x). forall x: Q(x) -> P(x). Therefore forall x: Q(x) -> P(x).