lean_workbook_plus_46083

Proved

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

Let $a,b,c>0$ Prove that: $\frac{a-b}{b+c }+ \frac{b-c}{c+a }+ \frac{c-a}{a+b } \geq 0$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_46083 : ∀ a b c : ℝ, a > 0 ∧ b > 0 ∧ c > 0 → (a - b) / (b + c) + (b - c) / (c + a) + (c - a) / (a + b) ≥ 0   :=  by sorry

Source