lean_workbook_plus_54146

Proved

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

Prove that for real nos. $a,b,c > 2$ the relation holds good: $a + b + c < abc$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_54146 (a b c : ℝ) (ha : 2 < a) (hb : 2 < b) (hc : 2 < c) : a + b + c < a * b * c   :=  by sorry

Source