proposition: Lemma metacyclic1 : metacyclic 1.
proof: Proof. by apply/existsP; exists 1%G; rewrite normal1 trivg_quotient !cyclic1. Qed.
imports: HB(structures) mathcomp(ssreflect ssrbool ssrfun eqtype ssrnat seq choice div) mathcomp(fintype bigop prime finset fingroup morphism) mathcomp(perm automorphism quotient gproduct ssralg) mathcomp(finalg zmodp poly)