lean_workbook_plus_24

Proved

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

For positive real numbers $a,b,c,$ have \n $\frac 1{a} + \frac 1{b} + \frac 1{c} \ge 2\left(\frac 1{b+c} + \frac 1{c+a} + \frac 1{a+b}\right).$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_24 (a b c : ℝ) (ha : 0 < a) (hb : 0 < b) (hc : 0 < c) : 1 / a + 1 / b + 1 / c ≥ 2 * (1 / (b + c) + 1 / (c + a) + 1 / (a + b))   :=  by sorry

Source

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

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