`BookProof.HermiteExpWall.memLp_scalaron_psi` (M alpha : ℝ) (hM : 0 < M) (N : ℕ) : MemLp (fun x => starobinskyV M alpha x * psi N x) 2 volume

Proved

BookProof.HermiteExpWall.memLp_scalaron_psi

by leonardopedro · Oct 9, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterHermiteExpWall.

BookProof.HermiteExpWall.memLp_scalaron_psi (M alpha : ℝ) (hM : 0 < M) (N : ℕ) : MemLp (fun x => starobinskyV M alpha x * psi N x) 2 volume

Formalization note: Lean 4 identifier BookProof.HermiteExpWall.memLp_scalaron_psi.

Preamble

-- Generated from ChapterHermiteExpWall.lean — theorem BookProof.HermiteExpWall.memLp_scalaron_psi
import Definitions.Def_ChapterHermiteFunctions
import Definitions.Def_ChapterHermiteProductCore
import Mathlib
import Definitions.Def_ChapterHermiteExpWall
import Definitions.Def_ChapterGhostField
import Definitions.Def_ChapterQgHermiteCore
import Definitions.Def_ChapterSirkFinitePrecision
import Definitions.Def_ChapterStarobinskyPotential
open BookProof.GhostField
open BookProof.QgHermiteCore
open BookProof.SirkFinitePrecision
open BookProof.SirkFinitePrecision.CertInterval
open BookProof.Starobinsky
open BookProof.HermiteExpWall



open MeasureTheory Polynomial
open BookProof.HermiteCore BookProof.Starobinsky BookProof.QgHermiteCore
open BookProof.HermiteProductCore

noncomputable section

Formal statement

theorem BookProof.HermiteExpWall.memLp_scalaron_psi (M alpha : ℝ) (hM : 0 < M) (N : ℕ) :
    MemLp (fun x => starobinskyV M alpha x * psi N x) 2 volume := by sorry

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