Prove2Me

lean_workbook_plus_17055

Disproved

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

Prove that 8a3b3c3<(a2+b2+c2)2(a2+b2+c2−8a2b2c2)8a^3b^3c^3 < (a^2+b^2+c^2)^2(a^2+b^2+c^2 - 8a^2b^2c^2).

Preamble
import Mathlib.Analysis.Complex.Basic
Formal statement
theorem lean_workbook_plus_17055 : ∀ a b c : ℝ, 8 * a ^ 3 * b ^ 3 * c ^ 3 < (a ^ 2 + b ^ 2 + c ^ 2) ^ 2 * (a ^ 2 + b ^ 2 + c ^ 2 - 8 * a ^ 2 * b ^ 2 * c ^ 2)   :=  by sorry
Source
https://huggingface.co/datasets/internlm/Lean-Workbook

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