The Lean 4 theorem `hermiteTLp_total` in the `ChapterShiftedHermiteCore` chapter of the timepiece formalization

import Definitions.Def_ChapterHermiteProductBasis
import Definitions.Def_ChapterHermiteProductCore
import Definitions.Def_ChapterHyperbolicQuadraticEsa
import Definitions.Def_ChapterNavierStokesDifferentialL2
-- Generated from ChapterShiftedHermiteCore.lean — theorem BookProof.ShiftedHermiteCore.hermiteTLp_total
import Mathlib
import Definitions.Def_ChapterShiftedHermiteCore
import Definitions.Def_ChapterNavierStokesDiffFarisLavine
import Definitions.Def_ChapterShiftedHermiteCore
open BookProof.ShiftedHermiteCore










open MeasureTheory MvPolynomial
open BookProof.HermiteProductCore BookProof.HermiteProductBasis
open BookProof.NavierStokesFlow.DifferentialL2
open BookProof.HyperbolicQuadratic

noncomputable section

variable {d : ℕ}

theorem BookProof.ShiftedHermiteCore.hermiteTLp_total (a k : Vd d) (v : L2d d)
    (h : ∀ α, (inner ℂ (hermiteTLp (d := d) a k α) v : ℂ) = 0) : v = 0 := by sorry