The Lean 4 theorem `integral_deriv_eq_zero_of_hasCompactSupport` in the `ChapterSchrodingerCutoffEsa` chapter of the timepiece formalization
ProvedBookProof.SchrodingerCutoff.integral_deriv_eq_zero_of_hasCompactSupporttimepiece
The Lean 4 theorem integral_deriv_eq_zero_of_hasCompactSupport in the ChapterSchrodingerCutoffEsa chapter of the timepiece formalization.
Preamble
-- Generated from ChapterSchrodingerCutoffEsa.lean — theorem BookProof.SchrodingerCutoff.integral_deriv_eq_zero_of_hasCompactSupport import Mathlib import Definitions.Def_ChapterSchrodingerCutoffEsa open BookProof.SchrodingerCutoff open MeasureTheory Filter Complex
Formal statement
theorem BookProof.SchrodingerCutoff.integral_deriv_eq_zero_of_hasCompactSupport
{E : Type*} [NormedAddCommGroup E] [NormedSpace ℝ E] [CompleteSpace E]
{g g' : ℝ → E} (h : ∀ x, HasDerivAt g (g' x) x) (hc : Continuous g')
(hs : HasCompactSupport g) : ∫ x, g' x = 0 := by sorrySource