The Lean 4 theorem `l2_classical_solution_eq_zero` in the `ChapterSchrodingerCutoffEsa` chapter of the timepiece formalization

-- Generated from ChapterSchrodingerCutoffEsa.lean — theorem BookProof.SchrodingerCutoff.l2_classical_solution_eq_zero
import Mathlib
import Definitions.Def_ChapterSchrodingerCutoffEsa
import Definitions.Def_ChapterParityChirality
open BookProof.ChapterParityChirality
open BookProof.SchrodingerCutoff



open MeasureTheory Filter Complex

theorem BookProof.SchrodingerCutoff.l2_classical_solution_eq_zero
    (V : ℝ → ℝ) (hV : Continuous V) (z : ℂ)
    (u u' u'' : ℝ → ℂ)
    (h1 : ∀ x, HasDerivAt u (u' x) x)
    (h2 : ∀ x, HasDerivAt u' (u'' x) x)
    (heq : ∀ x, -u'' x + (V x : ℂ) * u x = z * u x)
    (hVz : ∀ x, 1 ≤ V x - z.re)
    (hL2 : Integrable fun x => ‖u x‖ ^ 2) :
    u = 0 := by sorry