lean_workbook_plus_70131

Proved

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

Given positive numbers $a, b, c$ . Prove that $\frac{5 a+c}{b+c}+\frac{6 b}{c+a}+\frac{5 c+a}{a+b} \geq 9$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_70131 (a b c : ℝ) (ha : 0 < a) (hb : 0 < b) (hc : 0 < c) : (5 * a + c) / (b + c) + 6 * b / (c + a) + (5 * c + a) / (a + b) ≥ 9   :=  by sorry

Source

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

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