[0MI7] Proof. Indeed, it follows from Corollary 4.12 that it is essentially surjective, and it follows from Lemma 4.5 that the action functor ρ:(ℤ/2)n→Aut(Gauntn)\rho:(\mathbb{Z}/2)^{n}\to\Aut(\gaunt_{n}) is fully faithful. ∎