lean_workbook_plus_21501

Proved

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

Let $a,b,c$ be positive real numbers . Prove that $\frac{b}{a}+\frac{a}{b+c}+\frac{c}{a}\ge 2.$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_21501 (a b c : ℝ) (ha : 0 < a) (hb : 0 < b) (hc : 0 < c) : (b / a + a / (b + c) + c / a) ≥ 2   :=  by sorry

Source