Prove2Me

`BookProof.WeylCauchyRiemann.bumpSeq_hasCompactSupport` (n : ℕ) : HasCompactSupport ((bumpSeq n).normed volume)

Proved
BookProof.WeylCauchyRiemann.bumpSeq_hasCompactSupport

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterWeylCauchyRiemann.

BookProof.WeylCauchyRiemann.bumpSeq_hasCompactSupport (n : ℕ) : HasCompactSupport ((bumpSeq n).normed volume)

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

Preamble
-- Generated from ChapterWeylCauchyRiemann.lean — theorem BookProof.WeylCauchyRiemann.bumpSeq_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.bumpSeq_hasCompactSupport (n : ℕ) :
    HasCompactSupport ((bumpSeq n).normed volume) := by sorry

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