`BookProof.GaussCoordCombo.pderiv_aeval_of_ne` {i j : Fin d} (h : j ≠ i) (f : Polynomial ℂ) : pderiv j (Polynomial.aeval (X i : MvPolynomial (Fin d) ℂ) f) = 0

Proved

BookProof.GaussCoordCombo.pderiv_aeval_of_ne

by leonardopedro · Oct 8, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterGaussCoordCombo.

BookProof.GaussCoordCombo.pderiv_aeval_of_ne {i j : Fin d} (h : j ≠ i) (f : Polynomial ℂ) : pderiv j (Polynomial.aeval (X i : MvPolynomial (Fin d) ℂ) f) = 0

Formalization note: Lean 4 identifier BookProof.GaussCoordCombo.pderiv_aeval_of_ne.

Preamble

-- Generated from ChapterGaussCoordCombo.lean — theorem BookProof.GaussCoordCombo.pderiv_aeval_of_ne
import Definitions.Def_ChapterHermiteProductCore
import Mathlib
import Definitions.Def_ChapterGaussCoordCombo
open BookProof.GaussCoordCombo



open MvPolynomial BookProof.HermiteProductCore

noncomputable section

variable {d : ℕ}

Formal statement

theorem BookProof.GaussCoordCombo.pderiv_aeval_of_ne {i j : Fin d} (h : j ≠ i) (f : Polynomial ℂ) :
    pderiv j (Polynomial.aeval (X i : MvPolynomial (Fin d) ℂ) f) = 0 := by sorry

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