lean_workbook_plus_36186

Proved

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

Show that for any positive real numbers $a,b$ the following inequality is true: \n

2(a^2+b^2+2)\geq 2(a+1)(b+1)

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_36186 (a b : ℝ) (ha : 0 < a) (hb : 0 < b) : 2 * (a^2 + b^2 + 2) ≥ 2 * (a + 1) * (b + 1)   :=  by sorry

Source