Prove2Me

Lean-Workbook Plus 74920: Exponential inequality

Proved
WorkbookRestored.plus_74920

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

lean-workbookrestored-importssource-checked

for x > 1, x2e−x9<x2e−x3x^{2}e^{-x^{9}}<x^{2}e^{-x^{3}}.

Source: Lean-Workbook row lean_workbook_plus_74920 (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_74920 (x : ℝ) (hx : 1 < x) : x^2 * (Real.exp (-x^9)) < x^2 * (Real.exp (-x^3))   :=  by sorry
Source
https://huggingface.co/datasets/internlm/Lean-Workbook/blob/main/lean_workbook.json, row lean_workbook_plus_74920; immutable original Prove2Me node aec7c362-157b-4de5-8427-16a0c123ca90

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