theorem lernerIndex_anti {J₁ J₂ σ : ℝ} (hJ₁ : 0 < J₁) (hσ : 0 < σ)
(hJ : J₁ < J₂) :
lernerIndex J₂ σ < lernerIndex J₁ σ := by
simp only [lernerIndex]
exact div_lt_div_of_pos_left one_pos (mul_pos hJ₁ hσ) (by nlinarith)Paper 1, §22.5: Market Structure as CES Curvature