lean_workbook_plus_19855

Disproved

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

Prove or disprove the inequality: $(ab+bc+ca)(a^4+b^4+c^4 ) \ge 3(a^2 b^4+b^2 c^4+c^2 a^4 )$ .

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_19855 : ∀ a b c : ℝ, (a * b + b * c + c * a) * (a ^ 4 + b ^ 4 + c ^ 4) ≥ 3 * (a ^ 2 * b ^ 4 + b ^ 2 * c ^ 4 + c ^ 2 * a ^ 4)   :=  by sorry

Source

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

View graph