lean_workbook_plus_81074

Proved

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

$x$ satisfies $\dfrac{1}{x+ \dfrac{1}{1+\frac{1}{2}}}=\dfrac{1}{2+ \dfrac{1}{1- \dfrac{1}{2+\frac{1}{2}}}}$ . Find $x$ .

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_81074 (x : ℝ) (hx : x ≠ 0) : (1 / (x + 1 / (1 + 1 / 2)) = 1 / (2 + 1 / (1 - 1 / (2 + 1 / 2)))) ↔ x = 3   :=  by sorry

Source