lean_workbook_plus_35738

Proved

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

Prove for any nonnegative reals $a,b,c$ : $a^{3}b^{2}+b^{3}c^{2}+c^{3}a^{2}\ge a^{2}b^{2}c+ab^{2}c^{2}+a^{2}bc^{2}.$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_35738 (a b c : ℝ) (ha : a ≥ 0) (hb : b ≥ 0) (hc : c ≥ 0) : a^3 * b^2 + b^3 * c^2 + c^3 * a^2 ≥ a^2 * b^2 * c + a * b^2 * c^2 + a^2 * b * c^2   :=  by sorry

Source

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

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