Prove2Me

lean_workbook_plus_18882

Proved

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

Prove that ∣z15∣=∣z∣15|z^{15}|=|z|^{15} for any complex number zz .

Preamble
import Mathlib.Analysis.Complex.Basic
Formal statement
theorem lean_workbook_plus_18882 (z : ℂ) : ‖z ^ 15‖ = ‖z‖ ^ 15   :=  by sorry
Source
https://huggingface.co/datasets/internlm/Lean-Workbook

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