`BookProof.WeylCauchyRiemann.integral_fderiv_one_eq_zero` {ψ : ℂ → ℂ} (hψ : ContDiff ℝ ∞ ψ) (hψc : HasCompactSupport ψ) : ∫ z : ℂ, fderiv ℝ ψ z 1 = 0

Proved

BookProof.WeylCauchyRiemann.integral_fderiv_one_eq_zero

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterWeylCauchyRiemann.

BookProof.WeylCauchyRiemann.integral_fderiv_one_eq_zero {ψ : ℂ → ℂ} (hψ : ContDiff ℝ ∞ ψ) (hψc : HasCompactSupport ψ) : ∫ z : ℂ, fderiv ℝ ψ z 1 = 0

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

Preamble

-- Generated from ChapterWeylCauchyRiemann.lean — theorem BookProof.WeylCauchyRiemann.integral_fderiv_one_eq_zero
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_fderiv_one_eq_zero {ψ : ℂ → ℂ} (hψ : ContDiff ℝ ∞ ψ)
    (hψc : HasCompactSupport ψ) : ∫ z : ℂ, fderiv ℝ ψ z 1 = 0 := by sorry

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