lean_workbook_plus_55651

Proved

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

Let $0 <y<x\leq 3$ and $x+y \leq 5$ . Prove $x^2+y^2 \leq 13$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_55651 (x y : ℝ) (h1 : 0 < y ∧ y < x ∧ x ≤ 3) (h2 : x + y ≤ 5) : x^2 + y^2 ≤ 13   :=  by sorry

Source