theorem asymmetry_exceeds_one (hJ : 2 ≤ J) {ρ : ℝ} (hρ : ρ < 1)
{ε : ℝ} (hε : 0 < ε) :
1 < asymmetryRatio J ρ ε := by
simp only [asymmetryRatio]
linarith [curvatureK_pos hJ hρ, mul_pos (curvatureK_pos hJ hρ) hε]Further properties of CES curvature (Paper 1, Section 9):