lean_workbook_plus_45086

Proved

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

For $a,b,c\in R^{+}$ prove : \n $a^3c^2+a^2b^3+ab^4+b^2c^3+b^3c^2\geq a^2b^2c+2ab^3c+2ab^2c^2$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_45086 (a b c : ℝ) (ha : 0 < a) (hb : 0 < b) (hc : 0 < c) : a^3*c^2 + a^2*b^3 + a*b^4 + b^2*c^3 + b^3*c^2 ≥ a^2*b^2*c + 2*a*b^3*c + 2*a*b^2*c^2   :=  by sorry

Source

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

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