theorem information_shadow (hJ : 2 ≤ J) {ρ : ℝ} (hρ : ρ < 1) : 0 < curvatureK J ρ := curvatureK_pos hJ hρ
thesis/CESProofs/Potential/EffectiveCurvature.lean:154
Theorem 4 and Propositions 5-7, Corollary 1: