`BookProof.DampedOscillatorEnergy.criticallyDamped_isSolution` (t : ℝ) : (Real.exp (-t)) + 2 * (-Real.exp (-t)) + 1 ^ 2 * Real.exp (-t) = 0

Proved

BookProof.DampedOscillatorEnergy.criticallyDamped_isSolution

by leonardopedro · Oct 7, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterDampedOscillatorEnergy.

BookProof.DampedOscillatorEnergy.criticallyDamped_isSolution (t : ℝ) : (Real.exp (-t)) + 2 * (-Real.exp (-t)) + 1 ^ 2 * Real.exp (-t) = 0

Formalization note: Lean 4 identifier BookProof.DampedOscillatorEnergy.criticallyDamped_isSolution.

Preamble

-- Generated from ChapterDampedOscillatorEnergy.lean — theorem BookProof.DampedOscillatorEnergy.criticallyDamped_isSolution
import Mathlib
import Definitions.Def_ChapterDampedOscillatorEnergy
open BookProof.DampedOscillatorEnergy



open MeasureTheory

Formal statement

theorem BookProof.DampedOscillatorEnergy.criticallyDamped_isSolution (t : ℝ) :
    (Real.exp (-t)) + 2 * (-Real.exp (-t)) + 1 ^ 2 * Real.exp (-t) = 0 := by sorry

View graph