lean_workbook_plus_69533

Proved

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

For $a,b,c>0$ prove that:\n $\sum{a^4}+\sum{a^2b^2}\geq\sum{a^3b}+\sum{ab^3}.$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_69533 (a b c : ℝ) (ha : 0 < a) (hb : 0 < b) (hc : 0 < c) : a^4 + b^4 + c^4 + a^2 * b^2 + a^2 * c^2 + b^2 * c^2 ≥ a^3 * b + b^3 * a + a^3 * c + c^3 * a + b^3 * c + c^3 * b   :=  by sorry

Source

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

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