proposition: Lemma simple_maxnormal gT (G : {group gT}) : simple G = maxnormal 1 G G.
proof: Proof. by rewrite -quotient_simple ?normal1 // -(isog_simple (quotient1_isog G)). Qed.
imports: mathcomp(ssreflect ssrbool ssrfun eqtype ssrnat seq path) mathcomp(fintype bigop finset fingroup morphism) mathcomp(automorphism quotient action commutator center)