∀ {X : Type u_2} {Y : Type u_3} {Z : Type u_4} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y]
  [inst_2 : TopologicalSpace Z] (g : C(Y, Z)) (f : C(X, Y)) (S : DiscreteQuotient Z),
  DiscreteQuotient.comap (g.comp f) S = DiscreteQuotient.comap f (DiscreteQuotient.comap g S)