lean_workbook_plus_11382

Proved

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

Prove that $\sqrt{\frac{x^2 +y^2}{2}} \geq \frac{x+y}{2}$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_11382 (x y : ℝ) : Real.sqrt ((x ^ 2 + y ^ 2) / 2) ≥ (x + y) / 2   :=  by sorry

Source