Prove2Me

lean_workbook_plus_56831

Disproved

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

Prove that \n

8(a2+b2)≥(a2−b2)2+42(a+b)(a2+b2)a2+b28(a^2+b^2) \ge (a^2-b^2)^2+4\sqrt{2}(a+b)(a^2+b^2)\sqrt{a^2+b^2}
Preamble
import Mathlib.Analysis.Complex.Basic
Formal statement
theorem lean_workbook_plus_56831 :  ∀ a b : ℝ, 8 * (a ^ 2 + b ^ 2) ≥ (a ^ 2 - b ^ 2) ^ 2 + 4 * Real.sqrt 2 * (a + b) * (a ^ 2 + b ^ 2) * Real.sqrt (a ^ 2 + b ^ 2)   :=  by sorry
Source
https://huggingface.co/datasets/internlm/Lean-Workbook

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