lean_workbook_plus_5724

Proved

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

Let $a,b,c>0$ . Show that \n $\frac{a+b+c}{abc}\leq{\frac{1}{a^2}+\frac{1}{b^2}+\frac{1}{c^2}}$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_5724 (a b c : ℝ) (ha : 0 < a) (hb : 0 < b) (hc : 0 < c) : (a + b + c) / (a * b * c) ≤ 1 / a ^ 2 + 1 / b ^ 2 + 1 / c ^ 2   :=  by sorry

Source

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

View graph