Prove2Me

`BookProof.ChapterLegendrePolynomial.legendreAux_natDegree_le` (l : ℕ) : (legendreAux l).natDegree ≤ l

Proved
BookProof.ChapterLegendrePolynomial.legendreAux_natDegree_le

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterLegendrePolynomial.

BookProof.ChapterLegendrePolynomial.legendreAux_natDegree_le (l : ℕ) : (legendreAux l).natDegree ≤ l

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

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



open Polynomial
Formal statement
theorem BookProof.ChapterLegendrePolynomial.legendreAux_natDegree_le (l : ℕ) : (legendreAux l).natDegree ≤ l := by sorry

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