proposition: Lemma cyclic_conjg s a : s \is cyclic -> (s ^ a)%g \is cyclic.
proof: Proof. Proof using. by rewrite !cycle_type_cyclic cycle_type_conjg. Qed.
imports: mathcomp.ssreflect.ssreflect mathcomp(ssrfun ssrbool eqtype ssrnat seq choice fintype) mathcomp(tuple finfun finset path bigop) mathcomp(fingroup perm action) mathcomp(ssralg matrix mxalgebra algC classfun) partition tools sorted permcomp fibered_set cycles