lean_workbook_plus_72748

Proved

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

Let 'x' be a positive real number such that: $x^{5} -x^{3} +x \ge 3$ . Prove that $x^{6} \ge 5$ .

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_72748 (x : ℝ) (hx : 0 < x) (h : x^5 - x^3 + x ≥ 3) : x^6 ≥ 5   :=  by sorry

Source