lean_workbook_plus_7314

Proved

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

Let $x,y>0 ,x^3+y^3=x-y$ and $x^2+4y^2<1.$

x^2+5y^2 > 4xy

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_7314 (x y : ℝ) (hx : 0 < x) (hy : 0 < y) (hxy : x^3 + y^3 = x - y) (h : x^2 + 4*y^2 < 1) : x^2 + 5*y^2 > 4*x*y   :=  by sorry

Source

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

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