Translate the following inference to logic notation: For all x, if z_3 cooks, then z_3 is listening to a song. For all x, z_3 will listen to a song if and only if z_3 will cook. For all x, if z_3 listens to a song, then z_3 is a taxi driver. Therefore for all x, if z_3 cooks, then z_3 is a taxi driver.
forall x: P(x) -> Q(x). forall x: Q(x) <-> P(x). forall x: Q(x) -> R(x). Therefore forall x: P(x) -> R(x).