Translate the following inference to logic notation: For all x, z_2 will not write a letter. For all x, if z_2 takes a plane, then z_2 is reading a book. For all x, z_2 will read a book if and only if z_2 will take a plane. For all x, z_2 will write a letter if and only if z_2 will read a book. Therefore for all x, z_2 will not take a plane.
forall x: ~P(x). forall x: Q(x) -> R(x). forall x: R(x) <-> Q(x). forall x: P(x) <-> R(x). Therefore forall x: ~Q(x).