`BookProof.ChapterLegendrePolynomial.iterD_add` (k : ℕ) (p q : ℝ[X]) : derivative^[k] (p + q) = derivative^[k] p + derivative^[k] q

Proved

BookProof.ChapterLegendrePolynomial.iterD_add

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterLegendrePolynomial.

BookProof.ChapterLegendrePolynomial.iterD_add (k : ℕ) (p q : ℝ[X]) : derivative^[k] (p + q) = derivative^[k] p + derivative^[k] q

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

Preamble

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



open Polynomial

Formal statement

theorem BookProof.ChapterLegendrePolynomial.iterD_add (k : ℕ) (p q : ℝ[X]) :
    derivative^[k] (p + q) = derivative^[k] p + derivative^[k] q := by sorry

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