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

-- Generated from ChapterHermiteQuadraticEsa.lean — theorem BookProof.HermiteQuadraticEsa.abs_confW_sub_harmW_le
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.abs_confW_sub_harmW_le (M alpha : ℝ) (x : Vd 1) :
    |confW M alpha x - harmW x| ≤ |alpha - 1 / 4| * ‖x‖ ^ 2 + (M ^ 2 / 2) * ‖x‖ + 0 := by sorry