`BookProof.RadialMollifier.radialBump_congr_norm` {z w : ℂ} (h : ‖z‖ = ‖w‖) : radialBump z = radialBump w

Proved

BookProof.RadialMollifier.radialBump_congr_norm

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterRadialMollifier.

BookProof.RadialMollifier.radialBump_congr_norm {z w : ℂ} (h : ‖z‖ = ‖w‖) : radialBump z = radialBump w

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

Preamble

-- Generated from ChapterRadialMollifier.lean — theorem BookProof.RadialMollifier.radialBump_congr_norm
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.radialBump_congr_norm {z w : ℂ} (h : ‖z‖ = ‖w‖) :
    radialBump z = radialBump w := by sorry

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