`BookProof.RadialMollifier.moll_support_subset` {δ : ℝ} (hδ : 0 < δ) : Function.support (moll δ) ⊆ ball (0 : ℂ) δ

Proved

BookProof.RadialMollifier.moll_support_subset

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterRadialMollifier.

BookProof.RadialMollifier.moll_support_subset {δ : ℝ} (hδ : 0 < δ) : Function.support (moll δ) ⊆ ball (0 : ℂ) δ

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

Preamble

-- Generated from ChapterRadialMollifier.lean — theorem BookProof.RadialMollifier.moll_support_subset
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_support_subset {δ : ℝ} (hδ : 0 < δ) :
    Function.support (moll δ) ⊆ ball (0 : ℂ) δ := by sorry

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