lean_workbook_plus_70087

Disproved

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

Prove that $\frac{a^2+b^2+c^2}{ab+bc+ca}+\frac{8abc}{(a+b)(b+c)(c+a)}\ge 2$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_70087 : ∀ a b c : ℝ, (a^2 + b^2 + c^2) / (a * b + b * c + c * a) + (8 * a * b * c) / (a + b) / (b + c) / (c + a) ≥ 2   :=  by sorry

Source

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

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