Prove2Me

Lean-Workbook Plus 41599: Exponential inequality

Proved
WorkbookRestored.plus_41599

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

lean-workbookrestored-importssource-checked

For 0≤x≤10\le x\le1, (ex−1)/(ex−x)≥0(e^x-1)/(e^x-x)\ge0.

Source: Lean-Workbook row lean_workbook_plus_41599 (Apache-2.0). The unchanged proposition comes from the original record; its missing mathematical imports and namespaces are restored here.

Preamble
import Mathlib.Analysis.SpecialFunctions.Log.Basic
open Real
Formal statement
theorem WorkbookRestored.plus_41599 (x : ℝ) (hx: 0 ≤ x ∧ x ≤ 1) : (exp x - 1) / (exp x - x) ≥ 0   :=  by sorry
Source
https://huggingface.co/datasets/internlm/Lean-Workbook/blob/main/lean_workbook.json, row lean_workbook_plus_41599; immutable original Prove2Me node d8eb57c7-b79e-43c5-93b4-663749aa5e23

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