Translate the following inference to logic notation: For all x, x will read a book if and only if x is an artist. For all x, x is an artist if and only if x will read a book. Therefore for all x, if x reads a book, then x is an artist.
forall x: P(x) <-> Q(x). forall x: Q(x) <-> P(x). Therefore forall x: P(x) -> Q(x).