A nonnegative exponent of a base at least one

Proved

WorkbookRestored.plus_24916

by wamlart · Sep 12, 2026 · Mathlib 777aaa6 (Lean v4.29.0-rc3)

lean-workbookrestored-importssource-checked

If $y\ge1$ , then $y^{y-1}\ge1$ .

This restores the missing imports or namespaces of the original node, retaining its formal proposition. Source: Lean-Workbook row lean_workbook_plus_24916 (Apache-2.0).

Preamble

import Mathlib.Analysis.Complex.Basic
import Mathlib.Analysis.SpecialFunctions.Pow.Real
import Mathlib.Analysis.SpecialFunctions.Log.Basic
open Real

Formal statement

theorem WorkbookRestored.plus_24916 (y : ℝ) (hy : 1 ≤ y) : y ^ (y - 1) ≥ 1   :=  by sorry

Source

https://huggingface.co/datasets/internlm/Lean-Workbook/blob/main/lean_workbook.json, row lean_workbook_plus_24916; original Prove2Me node 0550411e-026a-44c5-8d78-45992624696f; Apache-2.0

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