lean_workbook_plus_74771

Proved

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

Prove that $\frac{(x^6+x^3+1)(x^3-1)^2}{x^4} \ge 0$ for all nonzero real numbers $x$ .

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_74771 (x : ℝ) (hx : x ≠ 0) : (x^6 + x^3 + 1) * (x^3 - 1)^2 / x^4 ≥ 0   :=  by sorry

Source