lean_workbook_plus_72198

Proved

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

Prove that for $a,b,c \in R^{+}$ , $a^{4}+b^{4}+c^4+3*(a^2*b^2+b^2*c^2+a^2*c^2) \geq 2*(a^3*b+b^3*a+a^3*c+c^3*a+b^3*c+c^3*b)$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_72198 (a b c : ℝ) : a^4 + b^4 + c^4 + 3 * (a^2 * b^2 + b^2 * c^2 + a^2 * c^2) ≥ 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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