Translate the following inference to logic notation: For all x, if y were an office clerk, then y is drinking water. For all x, if y listens to a song, then y is drinking water. For all x, if y drinks water, then y is listening to a song. Therefore for all x, if y were an office clerk, then y is listening to a song.
forall x: P(x) -> Q(x). forall x: R(x) -> Q(x). forall x: Q(x) -> R(x). Therefore forall x: P(x) -> R(x).