lean_workbook_plus_5025

Proved

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

Prove that $a/(b+c) + b/(c+a) + c/(a+b) \geq 3/2$ for all $a,b,c > 0$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_5025 (a b c : ℝ) (ha : a > 0) (hb : b > 0) (hc : c > 0) : a / (b + c) + b / (c + a) + c / (a + b) ≥ 3 / 2   :=  by sorry

Source