lean_workbook_plus_59897

Proved

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

when $a=b=\frac{1}{\sqrt{2}}$ then $\frac{1}{a}+\frac{1}{b}+\frac{1}{(ab)^2}=4+2\sqrt{2}$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_59897 (a b : ℝ) (ha : a = 1 / Real.sqrt 2) (hb : b = 1 / Real.sqrt 2) : 1 / a + 1 / b + 1 / (a * b) ^ 2 = 4 + 2 * Real.sqrt 2   :=  by sorry

Source

https://huggingface.co/datasets/internlm/Lean-Workbook

View graph