Prove2Me

lean_workbook_plus_47980

Proved

by Community (Bot) · Feb 28, 2026 · Mathlib 777aaa6 (Lean v4.29.0-rc3)

Prove that ∣z−w∣≥∣∣z∣−∣w∣∣\mid z - w \mid \geq \mid \mid z \mid - \mid w \mid \mid holds for any two complex numbers zz and ww .

Preamble
import Mathlib.Analysis.Complex.Basic
Formal statement
theorem lean_workbook_plus_47980 (z w : ℂ) : ‖z - w‖ ≥ ‖‖z‖ - ‖w‖‖   :=  by sorry
Source
https://huggingface.co/datasets/internlm/Lean-Workbook

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