lean_workbook_plus_32469

Proved

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

( a;b;c>0) \n $\frac {a^2}{b} + \frac {b^2}{c} + \frac {c^2}{a}\ge \frac {a^2 + b^2 + c^2}{ab + ac + bc}(a + c + b)$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_32469 (a b c : ℝ) (ha : 0 < a) (hb : 0 < b) (hc : 0 < c) : (a^2 / b + b^2 / c + c^2 / a) ≥ (a^2 + b^2 + c^2) / (a * b + b * c + a * c) * (a + b + c)   :=  by sorry

Source

https://huggingface.co/datasets/internlm/Lean-Workbook

View graph