Prove2Me

`BookProof.RadialMollifier.moll_polarSymm` {δ r θ : ℝ} (hr : 0 < r) : moll δ (Complex.polarCoord.symm (r, θ)) = moll δ (r : ℂ)

Proved
BookProof.RadialMollifier.moll_polarSymm

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterRadialMollifier.

BookProof.RadialMollifier.moll_polarSymm {δ r θ : ℝ} (hr : 0 < r) : moll δ (Complex.polarCoord.symm (r, θ)) = moll δ (r : ℂ)

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

Preamble
-- Generated from ChapterRadialMollifier.lean — theorem BookProof.RadialMollifier.moll_polarSymm
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_polarSymm {δ r θ : ℝ} (hr : 0 < r) :
    moll δ (Complex.polarCoord.symm (r, θ)) = moll δ (r : ℂ) := by sorry

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