Section GringIrrMode.
Variable i : Iirr G.
Let n := irr_degree (socle_of_Iirr i).
Let mxZn_inj: injective (@scalar_mx algCfield n).

(* This is Isaacs, Theorem (3.7). *)
Lemma Aint_gring_mode_class_sum k : 'omega_i['K_k] \in Aint.