theorem kl_reverse (z : ℝ) : klDivExp 1 (1 / z) = welfareDistanceFn (1 / z) := by simp only [klDivExp, welfareDistanceFn, one_div, div_one, Real.log_inv] ring
thesis/CESProofs/Foundations/InformationGeometry.lean:112
Information Geometry of CES: