Prove2Me

Lean-Workbook Plus 54328: Exponential inequality

Proved
WorkbookRestored.plus_54328

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

lean-workbookrestored-importssource-checked

Given x≥y x \ge y, prove that ex−ey≥0 e^x - e^y \ge 0

Source: Lean-Workbook row lean_workbook_plus_54328 (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_54328 (x y : ℝ) (h : x ≥ y) : exp x - exp y ≥ 0   :=  by sorry
Source
https://huggingface.co/datasets/internlm/Lean-Workbook/blob/main/lean_workbook.json, row lean_workbook_plus_54328; immutable original Prove2Me node 437d26c9-f495-4f44-aa19-af1b1e8eb03d

View graph