lean_workbook_plus_32877

Proved

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

Let $a \ge 1$ and $b \ge 1$ be real numbers. Show that $(a+b) (\frac {1}{a}+\frac{1}{b} ) \le 4+ max(a,b)-min(a,b)$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_32877 (a b : ℝ) (ha : 1 ≤ a) (hb : 1 ≤ b) : (a + b) * (1 / a + 1 / b) ≤ 4 + max a b - min a b   :=  by sorry

Source