lean_workbook_plus_59049

Proved

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

Prove that $x^6 + y^6 + x^2y^2 + x^4y^4 >= x^4y+x^2y^5+x^5y^2+xy^4$ for positive $x, y$ .

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_59049 (x y : ℝ) (hx : 0 < x) (hy : 0 < y) : x^6 + y^6 + x^2 * y^2 + x^4 * y^4 >= x^4 * y + x^2 * y^5 + x^5 * y^2 + x * y^4   :=  by sorry

Source

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

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