proposition: Lemma cfclass_inertia : ('chi[H]_i ^: T)%CF = [:: 'chi_i].
proof: Proof. rewrite /cfclass inertia_id rcosets_id /(image _ _) enum_set1 /=. by rewrite repr_group cfConjgJ1. Qed.
imports: HB(structures) mathcomp(ssreflect ssrfun ssrbool eqtype ssrnat seq path) mathcomp(choice fintype div tuple finfun bigop prime order) mathcomp(ssralg ssrnum finset fingroup morphism perm) mathcomp(automorphism quotient action zmodp cyclic center) mathcomp(gproduct commutator gseries nilpotent pgroup) mathcomp(sylow maximal frobenius matrix mxalgebra) mathcomp(mxrepresentation vector algC classfun character) mathcomp(archimedean)