lean_workbook_plus_80617

Proved

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

Prove that equation $a^2 - b^2=ab - 1$ has infinitely many solutions, if $a,b$ are positive integers

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_80617 (a b : ℕ) (h₁ : a > 0 ∧ b > 0): ∃ a b, a^2 - b^2 = a*b - 1   :=  by sorry

Source