lean_workbook_plus_73844

Proved

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

Given positive real numbers $a,\ b$ .\n\nProve that :\n\n $(a^2-ab+b^2)(a+b)^4\geq 16a^3b^3.$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_73844 (a b : ℝ) (ha : 0 < a) (hb : 0 < b) : (a^2 - a*b + b^2)*(a + b)^4 ≥ 16*a^3*b^3   :=  by sorry

Source