`BookProof.ChapterLegendrePolynomial.legendreAux_coeff_self` (l : ℕ) : (legendreAux l).coeff l = ((2 * l).descFactorial l : ℝ)

Proved

BookProof.ChapterLegendrePolynomial.legendreAux_coeff_self

by leonardopedro · Oct 9, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterLegendrePolynomial.

BookProof.ChapterLegendrePolynomial.legendreAux_coeff_self (l : ℕ) : (legendreAux l).coeff l = ((2 * l).descFactorial l : ℝ)

Formalization note: Lean 4 identifier BookProof.ChapterLegendrePolynomial.legendreAux_coeff_self.

Preamble

-- Generated from ChapterLegendrePolynomial.lean — theorem BookProof.ChapterLegendrePolynomial.legendreAux_coeff_self
import Mathlib
import Definitions.Def_ChapterLegendrePolynomial
open BookProof.ChapterLegendrePolynomial



open Polynomial

Formal statement

theorem BookProof.ChapterLegendrePolynomial.legendreAux_coeff_self (l : ℕ) :
    (legendreAux l).coeff l = ((2 * l).descFactorial l : ℝ) := by sorry

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