The Lean 4 theorem `laplacian_deficiency_trivial_negI` in the `ChapterSchrodingerCutoffEsa` chapter of the timepiece formalization
ProvedBookProof.SchrodingerCutoff.laplacian_deficiency_trivial_negItimepiece
The Lean 4 theorem laplacian_deficiency_trivial_negI in the ChapterSchrodingerCutoffEsa chapter of the timepiece formalization.
Preamble
-- Generated from ChapterSchrodingerCutoffEsa.lean — theorem BookProof.SchrodingerCutoff.laplacian_deficiency_trivial_negI import Mathlib import Definitions.Def_ChapterSchrodingerCutoffEsa open BookProof.SchrodingerCutoff open MeasureTheory Filter Complex
Formal statement
theorem BookProof.SchrodingerCutoff.laplacian_deficiency_trivial_negI
(u u' u'' : ℝ → ℂ)
(h1 : ∀ x, HasDerivAt u (u' x) x)
(h2 : ∀ x, HasDerivAt u' (u'' x) x)
(heq : ∀ x, -u'' x = -Complex.I * u x)
(hL2 : Integrable fun x => ‖u x‖ ^ 2) :
u = 0 := by sorrySource