lean_workbook_plus_17482

Proved

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

let a,b,c>0 prove $\frac{a^2}{b}+\frac{b^2}{c}+\frac{c^2}{a} \ge a+b+c$ another way for the 14 year old?

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_17482 (a b c : ℝ) (ha : 0 < a) (hb : 0 < b) (hc : 0 < c) : a * a / b + b * b / c + c * c / a >= a + b + c   :=  by sorry

Source