theorem total_exceeds_within (w K : Fin N -> ℝ) {Ktilde VarRho : ℝ}
(hK : 0 < Ktilde) (hV : 0 < VarRho) :
withinCurvature w K < totalCurvature w K Ktilde VarRho := by
simp only [totalCurvature]
linarith [between_curvature_pos hK hV]Results 80-85: Rho-Diversity Selection and Closure