lean_workbook_plus_15889

Proved

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

Let $\alpha = \frac {1 + \sqrt {5}}{2}$ , $\beta = \frac {1 - \sqrt {5}}{2}$ .

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_15889 (α β : ℝ) (h₁ : α = (1 + Real.sqrt 5) / 2) (h₂ : β = (1 - Real.sqrt 5) / 2) : α + β = 1 ∧ α - β = Real.sqrt 5   :=  by sorry

Source

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

View graph