proposition: Lemma metacyclicP A : reflect (exists H : {group gT}, [/\ cyclic H, H <| A & cyclic (A / H)]) (metacyclic A).
proof: Proof. exact: 'exists_and3P. 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)