Lean-Workbook Plus 70928: Exponential inequality

Proved

WorkbookRestored.plus_70928

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

lean-workbookrestored-importssource-checked

For $x\geq 0$ it is true that $e^{-x} \leq 1$ .

Source: Lean-Workbook row lean_workbook_plus_70928 (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_70928 : ∀ x ≥ 0, exp (-x) ≤ 1   :=  by sorry

Source

https://huggingface.co/datasets/internlm/Lean-Workbook/blob/main/lean_workbook.json, row lean_workbook_plus_70928; immutable original Prove2Me node 0c9a05c4-f910-4188-b8aa-890da08e7ad8

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