proposition: Lemma Sylow1 G : Sylow G 1.
proof: Proof. by rewrite /Sylow p_group1 Hall1. Qed.
imports: mathcomp(ssreflect ssrbool ssrfun eqtype ssrnat seq div) mathcomp(fintype bigop finset prime fingroup morphism) mathcomp(gfunctor automorphism quotient action gproduct) mathcomp(cyclic)