`BookProof.GaussCoordCombo.gaussInt_creation` (i : Fin d) (p q : MvPolynomial (Fin d) ℂ) : gaussInt ((X i * p - pderiv i p) * q) = gaussInt (p * pderiv i q)

Proved

BookProof.GaussCoordCombo.gaussInt_creation

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterGaussCoordCombo.

BookProof.GaussCoordCombo.gaussInt_creation (i : Fin d) (p q : MvPolynomial (Fin d) ℂ) : gaussInt ((X i * p - pderiv i p) * q) = gaussInt (p * pderiv i q)

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

Preamble

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



open MvPolynomial BookProof.HermiteProductCore

noncomputable section

variable {d : ℕ}

Formal statement

theorem BookProof.GaussCoordCombo.gaussInt_creation (i : Fin d) (p q : MvPolynomial (Fin d) ℂ) :
    gaussInt ((X i * p - pderiv i p) * q) = gaussInt (p * pderiv i q) := by sorry

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