lean_workbook_plus_14386

Proved

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

Prove that for all real $a,$ $b$ and $c$ the following inequality holds: \n $a^{4}b^{2}+b^{4}c^{2}+c^{4}a^{2}\geq a^{3}c^{2}b+b^{3}a^{2}c+c^{3}b^{2}a.$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_14386 (a b c : ℝ) : a ^ 4 * b ^ 2 + b ^ 4 * c ^ 2 + c ^ 4 * a ^ 2 ≥ a ^ 3 * c ^ 2 * b + b ^ 3 * a ^ 2 * c + c ^ 3 * b ^ 2 * a   :=  by sorry

Source

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

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