lean_workbook_plus_70868

Proved

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

Let $a, b>0$ and $a+b \geq 3 .$ Prove that \n

\left(a+\frac{1}{b}+1\right)\left(b+\frac{1}{a}+1\right) \geq 10

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_70868 (a b : ℝ) (ha : 0 < a) (hb : 0 < b) (hab : a + b ≥ 3) : (a + 1 / b + 1) * (b + 1 / a + 1) ≥ 10   :=  by sorry

Source