lean_workbook_plus_68462

Proved

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

prove that if $a,b,c$ are positive numbers and $abc = 1$ ,then, $\frac{a}{2b+c} + \frac{b}{2c+a} +\frac{c}{2a+b} \ge 1$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_68462 (a b c : ℝ) (ha : a > 0 ∧ b > 0 ∧ c > 0 ∧ a * b * c = 1) :
  a / (2 * b + c) + b / (2 * c + a) + c / (2 * a + b) ≥ 1   :=  by sorry

Source

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

View graph