∀ {𝕜 : Type u_1} {E : Type u_2} {β : Type u_3} [inst : Semiring 𝕜] [inst_1 : PartialOrder 𝕜] [inst_2 : AddCommMonoid E]
  [inst_3 : LinearOrder E] [IsOrderedAddMonoid E] [inst_5 : PartialOrder β] [inst_6 : Module 𝕜 E] [PosSMulMono 𝕜 E]
  {f : E → β}, Antitone f → QuasilinearOn 𝕜 Set.univ f