The Lean 4 theorem `potCore_symmetricOn` in the `ChapterQgHermiteOscillatorEsa` chapter of the timepiece formalization

-- Generated from ChapterQgHermiteOscillatorEsa.lean — theorem BookProof.QgHermiteOscillator.potCore_symmetricOn
import Mathlib
import Definitions.Def_ChapterQgHermiteOscillatorEsa
open BookProof.QgHermiteOscillator











open MeasureTheory Complex MvPolynomial
open BookProof.HermiteProductCore BookProof.HermiteProductBasis
open BookProof.QgHermiteCore BookProof.QgHermiteFriedrichs BookProof.FarisLavine
open BookProof.StoneBridge BookProof.EsaClosure BookProof.ChapterStoneResolvent

noncomputable section



variable {F : Type*} [NormedAddCommGroup F] [InnerProductSpace ℂ F]
  {ι : Type*} {D : Submodule ℂ F}





variable {d : ℕ}

theorem BookProof.QgHermiteOscillator.potCore_symmetricOn (W : Vd d → ℝ) (hWc : Continuous W) (hWb : ExpBounded W) :
    SymmetricOn (polyGaussCore (d := d)) (potCore W hWc hWb) := by sorry