`BookProof.ChapterSphericalBesselODE.pow_pred_coef` (l : ℕ) {r : ℝ} (hr : r ≠ 0) : (l : ℝ) * r ^ (l - 1) = r ^ l * ((l : ℝ) / r)

Proved

BookProof.ChapterSphericalBesselODE.pow_pred_coef

by leonardopedro · Oct 10, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterSphericalBesselODE.

BookProof.ChapterSphericalBesselODE.pow_pred_coef (l : ℕ) {r : ℝ} (hr : r ≠ 0) : (l : ℝ) * r ^ (l - 1) = r ^ l * ((l : ℝ) / r)

Formalization note: Lean 4 identifier BookProof.ChapterSphericalBesselODE.pow_pred_coef.

Preamble

-- Generated from ChapterSphericalBesselODE.lean — theorem BookProof.ChapterSphericalBesselODE.pow_pred_coef
import Definitions.Def_ChapterSphericalBessel
import Mathlib
import Definitions.Def_ChapterSphericalBesselODE
open BookProof.ChapterSphericalBesselODE



open BookProof.ChapterSphericalBessel

Formal statement

theorem BookProof.ChapterSphericalBesselODE.pow_pred_coef (l : ℕ) {r : ℝ} (hr : r ≠ 0) :
    (l : ℝ) * r ^ (l - 1) = r ^ l * ((l : ℝ) / r) := by sorry

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