Prove2Me

lean_workbook_plus_51883

Proved

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

Prove that −(x2+y2+z2)(x−y−z)2−2y2z2≤0-(x^2+y^2+z^2)(x-y-z)^2-2y^2z^2 \le 0 .

Preamble
import Mathlib.Analysis.Complex.Basic
Formal statement
theorem lean_workbook_plus_51883 : ∀ x y z : ℝ, -(x^2+y^2+z^2)*(x-y-z)^2-2*y^2*z^2 ≤ 0   :=  by sorry
Source
https://huggingface.co/datasets/internlm/Lean-Workbook

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