lean_workbook_plus_68549

Proved

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

Prove that $(a^2+b^2)(a^4+b^2c^2)\geq a^2b^2(c+a)^2$ given $a, b, c>0$ .

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_68549 (a b c : ℝ) (habc : a * b * c > 0) : (a^2 + b^2) * (a^4 + b^2 * c^2) ≥ a^2 * b^2 * (c + a)^2   :=  by sorry

Source