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

Proved
BookProof.HermiteRelative.norm_momL_sq_le

by leonardopedro · Sep 12, 2026 · Mathlib 0df444a (Lean v4.33.1)

timepiece

The Lean 4 theorem norm_momL_sq_le in the ChapterHermiteRelativeBound chapter of the timepiece formalization.

Preamble
-- Generated from ChapterHermiteRelativeBound.lean — theorem BookProof.HermiteRelative.norm_momL_sq_le
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}
Formal statement
theorem BookProof.HermiteRelative.norm_momL_sq_le (c : Fin d → ℝ) {c0 : ℝ} (hc0 : 0 < c0) (hc : ∀ i, c0 ≤ c i)
    (i : Fin d) (u : polyGaussCore (d := d)) :
    ‖momL i u‖ ^ 2 ≤ (4 / c0) * (‖(u : L2d d)‖ * ‖quadOp c u‖) := by sorry
Source
https://github.com/leonardopedro/timepiece/blob/61595bc/BookProof/ChapterHermiteRelativeBound.lean

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