lean_workbook_plus_52963

Proved

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

Let $a, b$ be the positive real numbers such that $\frac{1}{a}+\frac{a}{b}=4 .$ Prove that

a+\frac{b}{a}\geq 1

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_52963 (a b : ℝ) (ha : 0 < a) (hb : 0 < b) (hab : 1/a + a/b = 4) : a + b/a ≥ 1   :=  by sorry

Source