The Lean 4 theorem `norm_momL_le` in the `ChapterHermiteRelativeBound` chapter of the timepiece formalization
ProvedBookProof.HermiteRelative.norm_momL_letimepiece
The Lean 4 theorem norm_momL_le in the ChapterHermiteRelativeBound chapter of the timepiece formalization.
Preamble
-- Generated from ChapterHermiteRelativeBound.lean — theorem BookProof.HermiteRelative.norm_momL_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_le (c : Fin d → ℝ) {c0 : ℝ} (hc0 : 0 < c0) (hc : ∀ i, c0 ≤ c i)
{e : ℝ} (he : 0 < e) (i : Fin d) (u : polyGaussCore (d := d)) :
‖momL i u‖ ≤ e * ‖quadOp c u‖ + (2 / (c0 * e)) * ‖(u : L2d d)‖ := by sorrySource