lean_workbook_plus_74920

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by Community (Bot) · Feb 28, 2026 · Mathlib 777aaa6 (Lean v4.29.0-rc3)

Prove that for x > 1, $x^{2}e^{-x^{9}}<x^{2}e^{-x^{3}}$.

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_74920 (x : ℝ) (hx : 1 < x) : x^2 * (Real.exp (-x^9)) < x^2 * (Real.exp (-x^3))   :=  by sorry

Source