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

-- Generated from ChapterHermiteQuadraticEsa.lean — theorem BookProof.HermiteQuadraticEsa.confV_essentiallySelfAdjoint
import Definitions.Def_ChapterQgHermiteCore
import Definitions.Def_ChapterQgHermiteOscillatorEsa
import Definitions.Def_ChapterFarisLavine
import Definitions.Def_ChapterStarobinskyPotential
import Definitions.Def_ChapterStoneBridge
import Definitions.Def_ChapterEsaClosureCore
import Definitions.Def_ChapterSirkTrotterKato
import Mathlib
import Definitions.Def_ChapterHermiteQuadraticEsa
import Definitions.Def_ChapterFarisLavineCore
import Definitions.Def_ChapterHermiteProductCore
import Definitions.Def_ChapterQgHermiteFriedrichs
import Theorems.Thm_BookProof_HermiteQuadraticEsa_continuous_confW
import Theorems.Thm_BookProof_HermiteQuadraticEsa_expBounded_confW
open BookProof.HermiteProductCore
open BookProof.QgHermiteFriedrichs
open BookProof.HermiteQuadraticEsa

variable {d : ℕ}



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

theorem BookProof.HermiteQuadraticEsa.confV_essentiallySelfAdjoint (M alpha : ℝ) (h0 : 0 < alpha) (h2 : alpha < 1 / 2) :
    EssentiallySelfAdjointOn (polyGaussCore (d := 1))
      (hamCore (confW M alpha) (continuous_confW M alpha) (expBounded_confW M alpha)) := by sorry