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

-- Generated from ChapterQgHermiteOscillatorEsa.lean — theorem BookProof.QgHermiteOscillator.hamCore_add_potential
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.hamCore_add_potential (V W : Vd d → ℝ) (hVc : Continuous V) (hVb : ExpBounded V)
    (hWc : Continuous W) (hWb : ExpBounded W)
    (hsc : Continuous fun x => V x + W x) (hsb : ExpBounded fun x => V x + W x) :
    hamCore (fun x => V x + W x) hsc hsb = hamCore V hVc hVb + potCore W hWc hWb := by sorry