Prove2Me

`BookProof.ChapterSolidHarmonic.contDiff_solidHarmonic` (u v e : E) (l μ : ℕ) : ContDiff ℝ 2 (solidHarmonic u v e l μ)

Proved
BookProof.ChapterSolidHarmonic.contDiff_solidHarmonic

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterSolidHarmonic.

BookProof.ChapterSolidHarmonic.contDiff_solidHarmonic (u v e : E) (l μ : ℕ) : ContDiff ℝ 2 (solidHarmonic u v e l μ)

Formalization note: Lean 4 identifier BookProof.ChapterSolidHarmonic.contDiff_solidHarmonic.

Preamble
-- Generated from ChapterSolidHarmonic.lean — theorem BookProof.ChapterSolidHarmonic.contDiff_solidHarmonic
import Definitions.Def_ChapterRadialLaplacian
import Definitions.Def_ChapterLaplacianProduct
import Definitions.Def_ChapterSolidHarmonicTools
import Definitions.Def_ChapterLegendrePolynomial
import Mathlib
import Definitions.Def_ChapterSolidHarmonic
open BookProof.ChapterSolidHarmonic



open Laplacian InnerProductSpace Polynomial
open BookProof.ChapterRadialLaplacian BookProof.ChapterLaplacianProduct
open BookProof.ChapterSolidHarmonicTools BookProof.ChapterLegendrePolynomial
open scoped RealInnerProductSpace

variable {E : Type*} [NormedAddCommGroup E] [InnerProductSpace ℝ E] [FiniteDimensional ℝ E]
Formal statement
theorem BookProof.ChapterSolidHarmonic.contDiff_solidHarmonic (u v e : E) (l μ : ℕ) : ContDiff ℝ 2 (solidHarmonic u v e l μ) := by sorry

View graph