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`BookProof.WeylCauchyRiemann.mollify_contDiff` {F : ℂ → ℂ} (hF : LocallyIntegrable F) {χ : ℂ → ℝ} (hχ : ContDiff ℝ ∞ χ) (hχc : HasCompactSupport χ) : ContDiff ℝ ∞...

Proved
BookProof.WeylCauchyRiemann.mollify_contDiff

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterWeylCauchyRiemann.

BookProof.WeylCauchyRiemann.mollify_contDiff {F : ℂ → ℂ} (hF : LocallyIntegrable F) {χ : ℂ → ℝ} (hχ : ContDiff ℝ ∞ χ) (hχc : HasCompactSupport χ) : ContDiff ℝ ∞ (mollify F χ)

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

Preamble
-- Generated from ChapterWeylCauchyRiemann.lean — theorem BookProof.WeylCauchyRiemann.mollify_contDiff
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.mollify_contDiff {F : ℂ → ℂ} (hF : LocallyIntegrable F) {χ : ℂ → ℝ}
    (hχ : ContDiff ℝ ∞ χ) (hχc : HasCompactSupport χ) :
    ContDiff ℝ ∞ (mollify F χ) := by sorry

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