lean_workbook_plus_11829

Proved

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

For the positive real numbers $a,\ b,\ c$ , prove that $\frac{2007c}{2008a+2009b}+\frac{2008a}{2009b+2007c}+\frac{2009b}{2007c+2008a}\geq \frac{3}{2}$ .

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_11829 (a b c : ℝ) (ha : 0 < a) (hb : 0 < b) (hc : 0 < c) : (2007 * c / (2008 * a + 2009 * b) + 2008 * a / (2009 * b + 2007 * c) + 2009 * b / (2007 * c + 2008 * a)) ≥ 3 / 2   :=  by sorry

Source

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

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