`BookProof.ChapterSphericalBesselODE.sbessel_ode` (l : ℕ) {r : ℝ} (hr : r ≠ 0) : r ^ 2 * deriv (deriv (sbessel l)) r + 2 * r * deriv (sbessel l) r + (r ^ 2 - l * (l + 1)) * sbessel

Proved

BookProof.ChapterSphericalBesselODE.sbessel_ode

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterSphericalBesselODE.

BookProof.ChapterSphericalBesselODE.sbessel_ode (l : ℕ) {r : ℝ} (hr : r ≠ 0) : r ^ 2 * deriv (deriv (sbessel l)) r + 2 * r * deriv (sbessel l) r + (r ^ 2 - l * (l + 1)) * sbessel l r = 0

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

Preamble

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



open BookProof.ChapterSphericalBessel

Formal statement

theorem BookProof.ChapterSphericalBesselODE.sbessel_ode (l : ℕ) {r : ℝ} (hr : r ≠ 0) :
    r ^ 2 * deriv (deriv (sbessel l)) r + 2 * r * deriv (sbessel l) r
      + (r ^ 2 - l * (l + 1)) * sbessel l r = 0 := by sorry

View graph