Prove2Me

lean_workbook_plus_25262

Proved

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

Prove that (2∑ab−∑a2)2≥3(2∑a2b2−∑a4)(2\sum ab - \sum {a^2})^2 \geq 3(2\sum{a^2b^2} - \sum {a^4}).

Preamble
import Mathlib.Analysis.Complex.Basic
Formal statement
theorem lean_workbook_plus_25262 (a b c: ℝ) : (2 * (a * b + b * c + c * a) - (a ^ 2 + b ^ 2 + c ^ 2)) ^ 2 ≥ 3 * (2 * (a ^ 2 * b ^ 2 + b ^ 2 * c ^ 2 + c ^ 2 * a ^ 2) - (a ^ 4 + b ^ 4 + c ^ 4))   :=  by sorry
Source
https://huggingface.co/datasets/internlm/Lean-Workbook

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