lean_workbook_plus_2230

Proved

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

$(a+b)^4+(b+c)^4+(c+a)^4\ge 8(a^3(b+c)+b^3(c+a)+c^3(a+b))$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_2230 (a b c : ℝ) : (a + b) ^ 4 + (b + c) ^ 4 + (c + a) ^ 4 ≥ 8 * (a ^ 3 * (b + c) + b ^ 3 * (c + a) + c ^ 3 * (a + b))   :=  by sorry

Source

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

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