Prove2Me

lean_workbook_plus_65601

Disproved

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

Prove that a2+b2+c2(a+b+c)2+2ab(a+b)2+2bc(b+c)2+2ca(c+a)2≤116\frac{a^2+b^2+c^2}{(a+b+c)^2}+\frac{2ab}{(a+b)^2}+\frac{2bc}{(b+c)^2}+\frac{2ca}{(c+a)^2}\le \frac{11}{6}

Preamble
import Mathlib.Analysis.Complex.Basic
Formal statement
theorem lean_workbook_plus_65601 : ∀ a b c : ℝ, (a^2 + b^2 + c^2) / (a + b + c)^2 + 2 * a * b / (a + b)^2 + 2 * b * c / (b + c)^2 + 2 * c * a / (c + a)^2 ≤ 11 / 6   :=  by sorry
Source
https://huggingface.co/datasets/internlm/Lean-Workbook

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