lean_workbook_plus_6117

Proved

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

Find matrices $A$ and $B$ of order $2 \times 2$ over $\mathbb{Z}/2\mathbb{Z}$ that satisfy $AB - BA = I$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_6117 : ∃ A B : Matrix (Fin 2) (Fin 2) (ZMod 2), A * B - B * A = 1   :=  by sorry

Source