lean_workbook_plus_33285

Proved

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

Prove that $\frac{a}{b} + \frac{b}{a} = \frac{ a^2+b^2 }{ab}$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_33285  (a b : ℝ)
  (h₀ : a ≠ 0 ∧ b ≠ 0) :
  a / b + b / a = (a^2 + b^2) / (a * b)   :=  by sorry

Source