lean_workbook_plus_57856

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_57856 (a b c : ℝ) (h1 : 2 < a) (h2 : 2 < b) (h3 : 2 < c) : a + b + c < a * b * c   :=  by sorry

Source