Translate the following inference to logic notation: For all x, x_11 will listen to a song if and only if x_11 will cook. For all x, if x_11 listens to a song, then x_11 is drinking water. For all x, if x_11 drinks water, then x_11 is cooking. Therefore if Patricia cooks, then Patricia is listening to a song.
forall x: P(x) <-> Q(x). forall x: P(x) -> R(x). forall x: R(x) -> Q(x). Therefore Q(a) -> P(a).