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

-- Generated from ChapterHermiteQuadraticEsa.lean — theorem BookProof.HermiteQuadraticEsa.norm_harmPoly_mul_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.norm_harmPoly_mul_le (p : MvPolynomial (Fin d) ℂ) :
    ‖pgLp (harmPoly * p)‖
      ≤ ‖pgLp (kinPoly p + harmPoly * p)‖ + Real.sqrt ((d : ℝ) / 2) * ‖pgLp p‖ := by sorry