`BookProof.ScalaronHermiteEsa.expBounded_scalaronPot` (M alpha : ℝ) (hM : 0 < M) : ExpBounded (scalaronPot M alpha)

Proved

BookProof.ScalaronHermiteEsa.expBounded_scalaronPot

by leonardopedro · Oct 10, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterScalaronHermiteEsa.

BookProof.ScalaronHermiteEsa.expBounded_scalaronPot (M alpha : ℝ) (hM : 0 < M) : ExpBounded (scalaronPot M alpha)

Formalization note: Lean 4 identifier BookProof.ScalaronHermiteEsa.expBounded_scalaronPot.

Preamble

-- Generated from ChapterScalaronHermiteEsa.lean — theorem BookProof.ScalaronHermiteEsa.expBounded_scalaronPot
import Definitions.Def_ChapterQgHermiteFriedrichs
import Definitions.Def_ChapterQgHermiteOscillatorEsa
import Definitions.Def_ChapterFarisLavine
import Definitions.Def_ChapterStoneBridge
import Definitions.Def_ChapterEsaClosureCore
import Definitions.Def_ChapterSirkTrotterKato
import Mathlib
import Definitions.Def_ChapterScalaronHermiteEsa
import Definitions.Def_ChapterHermiteProductCore
import Definitions.Def_ChapterQgHermiteCore
import Definitions.Def_ChapterStarobinskyPotential
open BookProof.HermiteProductCore
open BookProof.QgHermiteCore
open BookProof.Starobinsky
open BookProof.ScalaronHermiteEsa



open MeasureTheory Complex MvPolynomial FourierTransform
open BookProof.HermiteProductCore BookProof.QgHermiteCore BookProof.QgHermiteFriedrichs
open BookProof.QgHermiteOscillator BookProof.FarisLavine BookProof.Starobinsky
open BookProof.StoneBridge BookProof.EsaClosure BookProof.ChapterStoneResolvent

noncomputable section

variable {d : ℕ}

Formal statement

theorem BookProof.ScalaronHermiteEsa.expBounded_scalaronPot (M alpha : ℝ) (hM : 0 < M) : ExpBounded (scalaronPot M alpha) := by sorry

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