lean_workbook_plus_39885

Disproved

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

Let $a,b,c$ be three real numbers , prove that $(\frac{1}{a}+\frac{1}{b}+\frac{1}{c})^2>\frac{1}{a^2}+\frac{4}{a^2+b^2}+\frac{9}{a^2+b^2+c^2}.$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_39885 : ∀ a b c : ℝ, (1 / a + 1 / b + 1 / c) ^ 2 > 1 / a ^ 2 + 4 / (a ^ 2 + b ^ 2) + 9 / (a ^ 2 + b ^ 2 + c ^ 2)   :=  by sorry

Source

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

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