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`BookProof.HermiteExpWall.psi_sq` (N : ℕ) (x : ℝ) : psi N x ^ 2 = x ^ (2 * N) * gaussW x

Proved
BookProof.HermiteExpWall.psi_sq

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterHermiteExpWall.

BookProof.HermiteExpWall.psi_sq (N : ℕ) (x : ℝ) : psi N x ^ 2 = x ^ (2 * N) * gaussW x

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

Preamble
-- Generated from ChapterHermiteExpWall.lean — theorem BookProof.HermiteExpWall.psi_sq
import Definitions.Def_ChapterStarobinskyPotential
import Definitions.Def_ChapterQgHermiteCore
import Definitions.Def_ChapterHermiteProductCore
import Mathlib
import Definitions.Def_ChapterHermiteExpWall
import Definitions.Def_ChapterGhostField
import Definitions.Def_ChapterHermiteFunctions
open BookProof.GhostField
open BookProof.HermiteCore
open BookProof.HermiteExpWall



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

noncomputable section
Formal statement
theorem BookProof.HermiteExpWall.psi_sq (N : ℕ) (x : ℝ) : psi N x ^ 2 = x ^ (2 * N) * gaussW x := by sorry

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