The Lean 4 theorem `harmCore_symmetricOn` in the `ChapterSqSumFarisLavine` chapter of the timepiece formalization

-- Generated from ChapterSqSumFarisLavine.lean — theorem BookProof.SqSumFarisLavine.harmCore_symmetricOn
import Definitions.Def_ChapterQgHermiteCore
import Definitions.Def_ChapterQgHermiteFriedrichs
import Definitions.Def_ChapterFarisLavine
import Definitions.Def_ChapterHermiteQuadraticEsa
import Definitions.Def_ChapterQgOuterFockEsa
import Definitions.Def_ChapterGaussCoreQuadBounds
import Mathlib
import Definitions.Def_ChapterSqSumFarisLavine
import Definitions.Def_ChapterFarisLavineCore
import Definitions.Def_ChapterHermiteProductCore
import Definitions.Def_ChapterQgHermiteOscillatorEsa
open BookProof.HermiteProductCore
open BookProof.QgHermiteOscillator
open BookProof.SqSumFarisLavine

variable {D : ℕ} {R : Type*} [Fintype R]



open Finset MvPolynomial
open BookProof.HermiteProductCore BookProof.QgHermiteCore BookProof.QgHermiteFriedrichs
open BookProof.QgHermiteOscillator BookProof.FarisLavine
open BookProof.HermiteQuadraticEsa
open BookProof.QgOuterFock
open BookProof.GaussCoreQuadBounds

noncomputable section

theorem BookProof.SqSumFarisLavine.harmCore_symmetricOn : SymmetricOn (polyGaussCore (d := D)) (harmCore (d := D)) := by sorry