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`BookProof.WeylCauchyRiemann.mollify_eq_convolution_right` (F : ℂ → ℂ) (χ : ℂ → ℝ) : mollify F χ = F ⋆[(ContinuousLinearMap.lsmul ℝ ℝ).flip, volume] χ

Proved
BookProof.WeylCauchyRiemann.mollify_eq_convolution_right

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterWeylCauchyRiemann.

BookProof.WeylCauchyRiemann.mollify_eq_convolution_right (F : ℂ → ℂ) (χ : ℂ → ℝ) : mollify F χ = F ⋆[(ContinuousLinearMap.lsmul ℝ ℝ).flip, volume] χ

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

Preamble
-- Generated from ChapterWeylCauchyRiemann.lean — theorem BookProof.WeylCauchyRiemann.mollify_eq_convolution_right
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_eq_convolution_right (F : ℂ → ℂ) (χ : ℂ → ℝ) :
    mollify F χ = F ⋆[(ContinuousLinearMap.lsmul ℝ ℝ).flip, volume] χ := by sorry

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