lean_workbook_plus_17840

Disproved

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

Prove the inequality\n\n $\frac{a^2+16bc}{b^2+c^2}+\frac{b^2+16ca}{c^2+a^2}+\frac{c^2+16ab}{a^2+b^2} \ge 10$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_17840 :  ∀ a b c : ℝ, (a^2 + 16 * b * c) / (b^2 + c^2) + (b^2 + 16 * c * a) / (c^2 + a^2) + (c^2 + 16 * a * b) / (a^2 + b^2) ≥ 10   :=  by sorry

Source

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

View graph