lean_workbook_plus_41117

Proved

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

Let $a=2m+1$ and $b=2n+1$ , where $m, n \in \mathbb{Z}$ . Show that $a^2-b^2$ is divisible by $8$ .

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_41117 (m n : ℤ) : (2*m+1)^2 - (2*n+1)^2 ≡ 0 [ZMOD 8]   :=  by sorry

Source