The Lean 4 theorem `inner_pgLp_pgLp` in the `ChapterQgHermiteFriedrichs` chapter of the timepiece formalization

-- Generated from ChapterQgHermiteFriedrichs.lean — theorem BookProof.QgHermiteFriedrichs.inner_pgLp_pgLp
import Mathlib
import Definitions.Def_ChapterQgHermiteFriedrichs
import Definitions.Def_ChapterSirkBandLedger
import Definitions.Def_ChapterRitzCertificate
open BookProof.QgHermiteFriedrichs







open MeasureTheory Complex MvPolynomial
open BookProof.HermiteProductCore BookProof.QgHermiteCore BookProof.Starobinsky
open BookProof.FarisLavine BookProof.YangMillsFriedrichs BookProof.FriedrichsExtension

noncomputable section

variable {d : ℕ}

theorem BookProof.QgHermiteFriedrichs.inner_pgLp_pgLp (p q : MvPolynomial (Fin d) ℂ) :
    (inner ℂ (pgLp p) (pgLp q) : ℂ) = gaussInt (cpoly p * q) := by sorry