lean_workbook_plus_26426

Proved

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

Let $a,b,c>0$ prove or disprove that:\n $a^{4}+b^{4}+c^{4}+a^{2}b^{2}+a^{2}c^{2}+c^{2}b^{2}\geq a^{3}b+b^{3}c+c^{3}a+ab^{2}c+abc^{2}+a^{2}bc$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_26426 : ∀ a b c : ℝ, a > 0 ∧ b > 0 ∧ c > 0 → a^4 + b^4 + c^4 + a^2 * b^2 + a^2 * c^2 + b^2 * c^2 ≥ a^3 * b + b^3 * c + c^3 * a + a * b^2 * c + a * b * c^2 + a^2 * b * c   :=  by sorry

Source

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

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