proposition: Lemma act1 x : to x 1 = x.
proof: Proof. by apply: (act_inj to 1); rewrite -actMin ?mulg1. Qed.
imports: mathcomp(ssreflect ssrbool ssrfun eqtype ssrnat div seq) mathcomp(fintype bigop finset fingroup morphism perm) mathcomp(automorphism quotient)