End ConjRestrict.
Section MoreInertia.
Variables (gT : finGroupType) (G H : {group gT}) (i : Iirr H).
Let T := 'I_G['chi_i].

(* Specifications: *)
Lemma inertia_id : 'I_T['chi_i] = T. Proof. by rewrite -setIA setIid. Qed.
Lemma cfclass_inertia : ('chi[H]_i ^: T)%CF = [:: 'chi_i].
End MoreInertia.