Section Kernel.
Variable (gT : finGroupType) (G : {group gT}).
Implicit Types (phi chi xi : 'CF(G)) (H : {group gT}).
Definition Res_Iirr (A B : {set gT}) i := cfIirr ('Res[B, A] 'chi_i).

Lemma Res_Iirr0 : Res_Iirr H (0 : Iirr G) = 0.