lean_workbook_plus_35564

Proved

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

Note that for any positive integer $k$ ,\n $2\equiv k^2\pmod{k^2 - 2}$ \nand furthermore for any integer $l$ ,\n $2l^2\equiv (kl)^2\pmod{k^2 - 2}$ .

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_35564 (k : ℤ) (h : k > 0) : 2 ≡ k^2 [ZMOD k^2 - 2]   :=  by sorry

Source