lean_workbook_plus_47896

Proved

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

Let $a,b>0$ and $a+\frac{2}{a}-\frac{5b}{4}+\frac{4}{b}=5.$ Prove that

a+b\ge 2

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_47896 (a b : ℝ) (ha : 0 < a) (hb : 0 < b) (hab : a + 2 / a - 5 * b / 4 + 4 / b = 5) : a + b ≥ 2   :=  by sorry

Source