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`BookProof.ChapterLegendrePolynomial.legendre_coeff_eq_zero_of_lt` (l k : ℕ) (h : l < k) : (legendre l).coeff k = 0

Proved
BookProof.ChapterLegendrePolynomial.legendre_coeff_eq_zero_of_lt

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterLegendrePolynomial.

BookProof.ChapterLegendrePolynomial.legendre_coeff_eq_zero_of_lt (l k : ℕ) (h : l < k) : (legendre l).coeff k = 0

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

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



open Polynomial
Formal statement
theorem BookProof.ChapterLegendrePolynomial.legendre_coeff_eq_zero_of_lt (l k : ℕ) (h : l < k) : (legendre l).coeff k = 0 := by sorry

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