`BookProof.ChapterLegendrePolynomial.monic_Xsq_sub_one` : (X ^ 2 - 1 : ℝ[X]).Monic

Proved

BookProof.ChapterLegendrePolynomial.monic_Xsq_sub_one

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterLegendrePolynomial.

BookProof.ChapterLegendrePolynomial.monic_Xsq_sub_one : (X ^ 2 - 1 : ℝ[X]).Monic

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

Preamble

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



open Polynomial

Formal statement

theorem BookProof.ChapterLegendrePolynomial.monic_Xsq_sub_one : (X ^ 2 - 1 : ℝ[X]).Monic := by sorry

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