Prove2Me

lean_workbook_plus_5668

Proved

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

If aa , bb , cc are nonnegative real numbers, then \n\n

(a+2b+c)(a+b+c)2≥4(a+b)(b+c)(c+a)(a+2b+c)(a+b+c)^2 {\geq} 4(a+b)(b+c)(c+a)

.

Preamble
import Mathlib.Analysis.Complex.Basic
Formal statement
theorem lean_workbook_plus_5668 (a b c : ℝ) (ha : 0 ≤ a) (hb : 0 ≤ b) (hc : 0 ≤ c) : (a + 2 * b + c) * (a + b + c) ^ 2 ≥ 4 * (a + b) * (b + c) * (c + a)   :=  by sorry
Source
https://huggingface.co/datasets/internlm/Lean-Workbook

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