∀ {α : Type u_1} (r s : Setoid α) (h : r ≤ s) (y : α),
  (fun x => x.liftOn' (fun w => Quotient.liftOn' w Quotient.mk'' ⋯) ⋯)
      ((fun x => x.liftOn' (fun w => Quotient.mk'' (Quotient.mk'' w)) ⋯) (Quotient.mk'' y)) =
    Quotient.mk'' y