The Lean 4 theorem `hamCore_symmetricOn` in the `ChapterQgHermiteFriedrichs` chapter of the timepiece formalization

-- Generated from ChapterQgHermiteFriedrichs.lean — theorem BookProof.QgHermiteFriedrichs.hamCore_symmetricOn
import Mathlib
import Definitions.Def_ChapterQgHermiteFriedrichs
import Definitions.Def_ChapterSirkBandLedger
import Definitions.Def_ChapterRitzCertificate
open BookProof.QgHermiteFriedrichs







open MeasureTheory Complex MvPolynomial
open BookProof.HermiteProductCore BookProof.QgHermiteCore BookProof.Starobinsky
open BookProof.FarisLavine BookProof.YangMillsFriedrichs BookProof.FriedrichsExtension

noncomputable section

variable {d : ℕ}































variable (W : Vd d → ℝ)

theorem BookProof.QgHermiteFriedrichs.hamCore_symmetricOn (hWc : Continuous W) (hWb : ExpBounded W) :
    SymmetricOn (polyGaussCore (d := d)) (hamCore W hWc hWb) := by sorry