The principal root of one has unit norm
ProvedWorkbookRestored.plus_727lean-workbookrestored-importssource-checked
For every natural , the principal complex power satisfies .
This restores the missing imports or namespaces of the original node, retaining its formal proposition. Source: Lean-Workbook row lean_workbook_plus_727 (Apache-2.0).
Preamble
import Mathlib.Analysis.SpecialFunctions.Pow.Complex open Complex
Formal statement
theorem WorkbookRestored.plus_727 (n : ℕ) (hn : n ≠ 0) : ‖(1 : ℂ) ^ (1 / n : ℂ)‖ = 1 := by sorry
Source