lean_workbook_plus_65775

Proved

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

Determine if the inequality $(x^2 + 1)^2(x^4 - x^3 + x^2 - x + 1)^2 > 0$ is true for all x > 0.

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_65775 (x : ℝ) (hx : 0 < x) : (x^2 + 1)^2 * (x^4 - x^3 + x^2 - x + 1)^2 > 0   :=  by sorry

Source