lean_workbook_plus_17111

Proved

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

Prove that $a^2(b+c)^2 +(b^2+c^2)(b+c)^2 \geq 2a(b+c)(b^2+c^2) +2bc(b^2+c^2)$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_17111 (a b c : ℝ) : a^2 * (b + c)^2 + (b^2 + c^2) * (b + c)^2 ≥ 2 * a * (b + c) * (b^2 + c^2) + 2 * b * c * (b^2 + c^2)   :=  by sorry

Source

https://huggingface.co/datasets/internlm/Lean-Workbook

View graph