lean_workbook_plus_79739

Proved

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

For any positive a,b,c, prove that $\frac{1}{2+3a}+\frac{1}{2+3b}+\frac{1}{2+3c}\geq\frac{3}{2+a+b+c}$ .

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_79739 (a b c : ℝ) (ha : 0 < a) (hb : 0 < b) (hc : 0 < c) : 1 / (2 + 3 * a) + 1 / (2 + 3 * b) + 1 / (2 + 3 * c) ≥ 3 / (2 + a + b + c)   :=  by sorry

Source

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

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