proposition: Lemma size_cycle_type s : size (cycle_type s) = #|porbits s|.
proof: Proof. by rewrite /cycle_type /setpart_shape size_sort size_map -cardE. 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