lean_workbook_plus_27509

Proved

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

$4s^{2}-3t^{2}=1$ this is a generalised Pell equation with minimal soluiton $(1,1)$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_27509 (s t : ℕ) (hs : 4 * s ^ 2 - 3 * t ^ 2 = 1) : s ≥ 1 ∧ t ≥ 1   :=  by sorry

Source