`BookProof.ChapterSpectralEnergyBound.evolve_support` (f : n → ℝ) (t : ℝ) (v : EuclideanSpace ℂ n) (i : n) (h : evolve f t v i ≠ 0) : v i ≠ 0

Proved

BookProof.ChapterSpectralEnergyBound.evolve_support

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterSpectralEnergyBound.

BookProof.ChapterSpectralEnergyBound.evolve_support (f : n → ℝ) (t : ℝ) (v : EuclideanSpace ℂ n) (i : n) (h : evolve f t v i ≠ 0) : v i ≠ 0

Formalization note: Lean 4 identifier BookProof.ChapterSpectralEnergyBound.evolve_support.

Preamble

-- Generated from ChapterSpectralEnergyBound.lean — theorem BookProof.ChapterSpectralEnergyBound.evolve_support
import Mathlib
import Definitions.Def_ChapterSpectralEnergyBound
import Definitions.Def_ChapterBornMeasure
open BookProof.ChapterBornMeasure
open BookProof.ChapterSpectralEnergyBound



variable {n : Type*} [Fintype n]

Formal statement

theorem BookProof.ChapterSpectralEnergyBound.evolve_support (f : n → ℝ) (t : ℝ) (v : EuclideanSpace ℂ n) (i : n)
    (h : evolve f t v i ≠ 0) : v i ≠ 0 := by sorry

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