`BookProof.RadialMollifier.moll_eq_zero_of_le` {δ : ℝ} (hδ : 0 < δ) {z : ℂ} (h : δ ≤ ‖z‖) : moll δ z = 0

Proved

BookProof.RadialMollifier.moll_eq_zero_of_le

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterRadialMollifier.

BookProof.RadialMollifier.moll_eq_zero_of_le {δ : ℝ} (hδ : 0 < δ) {z : ℂ} (h : δ ≤ ‖z‖) : moll δ z = 0

Formalization note: Lean 4 identifier BookProof.RadialMollifier.moll_eq_zero_of_le.

Preamble

-- Generated from ChapterRadialMollifier.lean — theorem BookProof.RadialMollifier.moll_eq_zero_of_le
import Mathlib
import Definitions.Def_ChapterRadialMollifier
open BookProof.RadialMollifier



open MeasureTheory Metric Set Complex intervalIntegral Real
open scoped Convolution Topology ContDiff Real

noncomputable section

Formal statement

theorem BookProof.RadialMollifier.moll_eq_zero_of_le {δ : ℝ} (hδ : 0 < δ) {z : ℂ} (h : δ ≤ ‖z‖) : moll δ z = 0 := by sorry

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