`BookProof.HermiteStrichartzQG.hermiteCoreOp_not_bounded` (lam : ℕ → ℝ) (hlam : ∀ C : ℝ, ∃ n, C < |lam n|) : ¬ ∃ C : ℝ, ∀ f : hermiteCore, ‖hermiteCoreOp lam f‖ ≤ C *...

Proved

BookProof.HermiteStrichartzQG.hermiteCoreOp_not_bounded

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterStrichartzHermiteQG.

BookProof.HermiteStrichartzQG.hermiteCoreOp_not_bounded (lam : ℕ → ℝ) (hlam : ∀ C : ℝ, ∃ n, C < |lam n|) : ¬ ∃ C : ℝ, ∀ f : hermiteCore, ‖hermiteCoreOp lam f‖ ≤ C * ‖(f : L2R)‖

Formalization note: Lean 4 identifier BookProof.HermiteStrichartzQG.hermiteCoreOp_not_bounded.

Preamble

-- Generated from ChapterStrichartzHermiteQG.lean — theorem BookProof.HermiteStrichartzQG.hermiteCoreOp_not_bounded
import Definitions.Def_ChapterFarisLavine
import Definitions.Def_ChapterQuantumGravityDensitized
import Mathlib
import Definitions.Def_ChapterStrichartzHermiteQG
import Definitions.Def_ChapterHermiteFunctions
open BookProof.HermiteCore
open BookProof.HermiteStrichartzQG



open MeasureTheory BookProof.HermiteCore BookProof.FarisLavine
open BookProof.QuantumGravityDensitized

Formal statement

theorem BookProof.HermiteStrichartzQG.hermiteCoreOp_not_bounded (lam : ℕ → ℝ) (hlam : ∀ C : ℝ, ∃ n, C < |lam n|) :
    ¬ ∃ C : ℝ, ∀ f : hermiteCore, ‖hermiteCoreOp lam f‖ ≤ C * ‖(f : L2R)‖ := by sorry

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