Prove2Me

lean_workbook_plus_20949

Proved

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

Prove that 4(a+b+c)6≥27(ab+bc+ca)(a2+b2+c2+ab+bc+ca)2 4(a+b+c)^6 \ge 27(ab+bc+ca)(a^2+b^2+c^2+ab+bc+ca)^2

Preamble
import Mathlib.Analysis.Complex.Basic
Formal statement
theorem lean_workbook_plus_20949 : ∀ a b c : ℝ, 4 * (a + b + c) ^ 6 ≥ 27 * (a * b + b * c + c * a) * (a ^ 2 + b ^ 2 + c ^ 2 + a * b + b * c + c * a) ^ 2   :=  by sorry
Source
https://huggingface.co/datasets/internlm/Lean-Workbook

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