proposition: Lemma subcent1_cycle_norm x G : 'C_G[x] \subset 'N(<[x]>).
proof: Proof. by rewrite cents_norm // cent_gen cent_set1 subsetIr. Qed.
imports: mathcomp(ssreflect ssrbool ssrfun eqtype ssrnat seq div) mathcomp(fintype bigop finset fingroup morphism perm) mathcomp(automorphism quotient action gproduct gfunctor) mathcomp(cyclic)