lean_workbook_plus_72856

Disproved

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

The ineq is equivalent to $(ab+bc+ca)(a+b+c)+(ab+bc+ca)+6\ge 6(a+b+c)$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_72856 : ∀ a b c : ℝ, (a * b + b * c + c * a) * (a + b + c) + (a * b + b * c + c * a) + 6 ≥ 6 * (a + b + c)   :=  by sorry

Source