lean_workbook_plus_63423

Proved

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

For any odd number $p$ , the numbers $p^2-1$ and $p^2+1$ are always even.

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_63423 (p : ℤ) (hp : p % 2 = 1) : (p^2 - 1) % 2 = 0 ∧ (p^2 + 1) % 2 = 0   :=  by sorry

Source