lean_workbook_plus_39090

Proved

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

Prove that $(x+y+z)^2[21(x^2+y^2+z^2)+946\sum (x^2-yz)] \ge 0$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_39090 (x y z : ℝ) : (x + y + z) ^ 2 * (21 * (x ^ 2 + y ^ 2 + z ^ 2) + 946 * (x ^ 2 - y * z + y ^ 2 - z * x + z ^ 2 - x * y)) ≥ 0   :=  by sorry

Source

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

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