Prove2Me

lean_workbook_plus_76793

Proved

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

Prove 4(a2+b2+c2)2≥(a+b+c)2(2(a2+b2+c2)−∑ab)+(∑ab)24(a^2+b^2+c^2)^2\ge (a+b+c)^2(2(a^2+b^2+c^2)-\sum ab)+(\sum ab)^2

Preamble
import Mathlib.Analysis.Complex.Basic
Formal statement
theorem lean_workbook_plus_76793 : ∀ a b c : ℝ, 4 * (a ^ 2 + b ^ 2 + c ^ 2) ^ 2 ≥ (a + b + c) ^ 2 * (2 * (a ^ 2 + b ^ 2 + c ^ 2) - (a * b + b * c + c * a)) + (a * b + b * c + c * a) ^ 2   :=  by sorry
Source
https://huggingface.co/datasets/internlm/Lean-Workbook

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