The Lean 4 theorem `oscL_hermiteMvLp` in the `ChapterHermiteRelativeBound` chapter of the timepiece formalization

-- Generated from ChapterHermiteRelativeBound.lean — theorem BookProof.HermiteRelative.oscL_hermiteMvLp
import Mathlib
import Definitions.Def_ChapterHermiteRelativeBound
open BookProof.HermiteRelative









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

noncomputable section



variable {E : Type*} [NormedAddCommGroup E] [InnerProductSpace ℂ E] {ι : Type*}





variable {d : ℕ}

set_option maxHeartbeats 1000000 in
-- the `L²` coercions of the Gauss–polynomial core make this defeq check expensive

theorem BookProof.HermiteRelative.oscL_hermiteMvLp (i : Fin d) (a : Fin d →₀ ℕ)
    (h : hermiteMvLp a ∈ polyGaussCore (d := d)) :
    oscL i ⟨hermiteMvLp a, h⟩ = (((a i : ℝ) + 1/2 : ℝ) : ℂ) • hermiteMvLp a := by sorry