lean_workbook_plus_80559

Proved

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

Given $x(x^4-x^2+1) \ge 3$ , and 'x' is a positive number. Prove that $x^6 \ge 5$ .

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_80559 (x : ℝ) (hx : 0 < x) (h : x * (x ^ 4 - x ^ 2 + 1) ≥ 3) : x ^ 6 ≥ 5   :=  by sorry

Source