lean_workbook_plus_71980

Proved

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

Prove that $2(a^6+b^6+c^6)+5(a^4b^2+b^4c^2+c^4a^2)\ge 7(a^3b^3+b^3c^3+c^3a^3)$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_71980 (a b c : ℝ) : 2 * (a ^ 6 + b ^ 6 + c ^ 6) + 5 * (a ^ 4 * b ^ 2 + b ^ 4 * c ^ 2 + c ^ 4 * a ^ 2) ≥ 7 * (a ^ 3 * b ^ 3 + b ^ 3 * c ^ 3 + c ^ 3 * a ^ 3)   :=  by sorry

Source

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

View graph