Prove2Me

`BookProof.HarmonicOscillator.harmonicOsc_not_bounded` : ¬ ∃ C : ℝ, ∀ f : hermiteCore, ‖harmonicOscOp f‖ ≤ C * ‖(f : L2R)‖

Proved
BookProof.HarmonicOscillator.harmonicOsc_not_bounded

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterHarmonicOscillatorEsa.

BookProof.HarmonicOscillator.harmonicOsc_not_bounded : ¬ ∃ C : ℝ, ∀ f : hermiteCore, ‖harmonicOscOp f‖ ≤ C * ‖(f : L2R)‖

Formalization note: Lean 4 identifier BookProof.HarmonicOscillator.harmonicOsc_not_bounded.

Preamble
-- Generated from ChapterHarmonicOscillatorEsa.lean — theorem BookProof.HarmonicOscillator.harmonicOsc_not_bounded
import Definitions.Def_ChapterHermiteFunctions
import Definitions.Def_ChapterStrichartzHermiteQG
import Definitions.Def_ChapterFarisLavine
import Mathlib
import Definitions.Def_ChapterHarmonicOscillatorEsa
open BookProof.HarmonicOscillator



open MeasureTheory Polynomial BookProof.HermiteCore BookProof.HermiteStrichartzQG
open BookProof.FarisLavine
Formal statement
theorem BookProof.HarmonicOscillator.harmonicOsc_not_bounded :
    ¬ ∃ C : ℝ, ∀ f : hermiteCore, ‖harmonicOscOp f‖ ≤ C * ‖(f : L2R)‖ := by sorry

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