lean_workbook_plus_22281

Proved

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

Let $a>3$ , $b>3$ and $c>3$ . Prove that $ab+bc+ca<abc$ .

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_22281 (a b c : ℝ) (h1 : 3 < a) (h2 : 3 < b) (h3 : 3 < c) : a * b + b * c + c * a < a * b * c   :=  by sorry

Source