Prove2Me

lean_workbook_plus_16976

Proved

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

Or \n\n (a+2b+c)(a+b+c)2=4(a+b)(b+c)(c+a)+b2(a+2b+c)+(c+a)(a−c)2⩾4(a+b)(b+c)(c+a).(a+2b+c)(a+b+c)^2 = 4(a+b)(b+c)(c+a)+b^2(a+2b+c)+(c+a)(a-c)^2 \geqslant 4(a+b)(b+c)(c+a).

Preamble
import Mathlib.Analysis.Complex.Basic
Formal statement
theorem lean_workbook_plus_16976 (a b c : ℝ) :  (a + 2 * b + c) * (a + b + c) ^ 2 ≥ 4 * (a + b) * (b + c) * (c + a) + b ^ 2 * (a + 2 * b + c) + (c + a) * (a - c) ^ 2   :=  by sorry
Source
https://huggingface.co/datasets/internlm/Lean-Workbook

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