Prove2Me

`BookProof.ChapterRadialLaplacian.contDiffAt_sbessel_zero` {r : ℝ} (hr : r ≠ 0) : ContDiffAt ℝ 2 (sbessel 0) r

Proved
BookProof.ChapterRadialLaplacian.contDiffAt_sbessel_zero

by leonardopedro · Oct 11, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterRadialLaplacian.

BookProof.ChapterRadialLaplacian.contDiffAt_sbessel_zero {r : ℝ} (hr : r ≠ 0) : ContDiffAt ℝ 2 (sbessel 0) r

Formalization note: Lean 4 identifier BookProof.ChapterRadialLaplacian.contDiffAt_sbessel_zero.

Preamble
-- Generated from ChapterRadialLaplacian.lean — theorem BookProof.ChapterRadialLaplacian.contDiffAt_sbessel_zero
import Mathlib
import Definitions.Def_ChapterRadialLaplacian
import Definitions.Def_ChapterSphericalBessel
import Definitions.Def_ChapterSphericalBesselODE
open BookProof.ChapterSphericalBessel
open BookProof.ChapterSphericalBesselODE
open BookProof.ChapterRadialLaplacian



open Filter Laplacian InnerProductSpace
open scoped InnerProductSpace RealInnerProductSpace

variable {E : Type*} [NormedAddCommGroup E] [InnerProductSpace ℝ E]
Formal statement
theorem BookProof.ChapterRadialLaplacian.contDiffAt_sbessel_zero {r : ℝ} (hr : r ≠ 0) : ContDiffAt ℝ 2 (sbessel 0) r := by sorry

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