The Lean 4 theorem `harmonic_add_linearGrowth_essentiallySelfAdjoint` in the `ChapterHermiteQuadraticEsa` chapter of the timepiece formalization

-- Generated from ChapterHermiteQuadraticEsa.lean — theorem BookProof.HermiteQuadraticEsa.harmonic_add_linearGrowth_essentiallySelfAdjoint
import Mathlib
import Definitions.Def_ChapterHermiteQuadraticEsa
open BookProof.HermiteQuadraticEsa














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

noncomputable section

variable {d : ℕ}

theorem BookProof.HermiteQuadraticEsa.harmonic_add_linearGrowth_essentiallySelfAdjoint {V : Vd d → ℝ} {Ccoef B : ℝ}
    (hB : 0 ≤ B)
    (hV : ∀ x, |V x| ≤ Ccoef * ‖x‖ + B)
    (hsc : Continuous fun x => harmW x + V x) (hsb : ExpBounded fun x => harmW x + V x) :
    EssentiallySelfAdjointOn (polyGaussCore (d := d))
      (hamCore (fun x => harmW x + V x) hsc hsb) := by sorry