`BookProof.WeylCauchyRiemann.integral_deriv_eq_zero_of_hasCompactSupport` {u : ℝ → ℂ} (hu : ContDiff ℝ 1 u) (huc : HasCompactSupport u) : ∫ t : ℝ, deriv u t = 0

Proved

BookProof.WeylCauchyRiemann.integral_deriv_eq_zero_of_hasCompactSupport

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterWeylCauchyRiemann.

BookProof.WeylCauchyRiemann.integral_deriv_eq_zero_of_hasCompactSupport {u : ℝ → ℂ} (hu : ContDiff ℝ 1 u) (huc : HasCompactSupport u) : ∫ t : ℝ, deriv u t = 0

Formalization note: Lean 4 identifier BookProof.WeylCauchyRiemann.integral_deriv_eq_zero_of_hasCompactSupport.

Preamble

-- Generated from ChapterWeylCauchyRiemann.lean — theorem BookProof.WeylCauchyRiemann.integral_deriv_eq_zero_of_hasCompactSupport
import Definitions.Def_ChapterRadialMollifier
import Mathlib
import Definitions.Def_ChapterWeylCauchyRiemann
open BookProof.WeylCauchyRiemann



open MeasureTheory Metric Set Filter Complex BookProof.RadialMollifier
open scoped Convolution Topology ContDiff

noncomputable section

Formal statement

theorem BookProof.WeylCauchyRiemann.integral_deriv_eq_zero_of_hasCompactSupport {u : ℝ → ℂ} (hu : ContDiff ℝ 1 u)
    (huc : HasCompactSupport u) : ∫ t : ℝ, deriv u t = 0 := by sorry

View graph