`BookProof.RadialMollifier.radialBump_pos_of_lt_one` {z : ℂ} (h : ‖z‖ < 1) : 0 < radialBump z

Proved

BookProof.RadialMollifier.radialBump_pos_of_lt_one

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterRadialMollifier.

BookProof.RadialMollifier.radialBump_pos_of_lt_one {z : ℂ} (h : ‖z‖ < 1) : 0 < radialBump z

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

Preamble

-- Generated from ChapterRadialMollifier.lean — theorem BookProof.RadialMollifier.radialBump_pos_of_lt_one
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_pos_of_lt_one {z : ℂ} (h : ‖z‖ < 1) : 0 < radialBump z := by sorry

View graph