lean_workbook_plus_51949

Proved

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

Let $x,y$ be reals such that $x^2+y^2\leq x+y .$ Prove that $x+y\leq 2$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_51949 (x y : ℝ) (h : x^2 + y^2 ≤ x + y) : x + y ≤ 2   :=  by sorry

Source