Prove2Me

`BookProof.ChapterSpectralEnergyBound.norm_evolve_apply` (f : n → ℝ) (t : ℝ) (v : EuclideanSpace ℂ n) (i : n) : ‖evolve f t v i‖ = ‖v i‖

Proved
BookProof.ChapterSpectralEnergyBound.norm_evolve_apply

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterSpectralEnergyBound.

BookProof.ChapterSpectralEnergyBound.norm_evolve_apply (f : n → ℝ) (t : ℝ) (v : EuclideanSpace ℂ n) (i : n) : ‖evolve f t v i‖ = ‖v i‖

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

Preamble
-- Generated from ChapterSpectralEnergyBound.lean — theorem BookProof.ChapterSpectralEnergyBound.norm_evolve_apply
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.norm_evolve_apply (f : n → ℝ) (t : ℝ) (v : EuclideanSpace ℂ n) (i : n) :
    ‖evolve f t v i‖ = ‖v i‖ := by sorry

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