lean_workbook_plus_71430

Proved

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

Let $x,y>0$ . Proof that $x^2+y^2+xy+\frac{25}{12} \geqslant \frac{5}{2}(x+y)$ .

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_71430 (x y : ℝ) (hx : 0 < x) (hy : 0 < y) : x^2 + y^2 + x * y + 25 / 12 ≥ 5 / 2 * (x + y)   :=  by sorry

Source