End OrthogonalityRelations.
Prenex Implicits irr_class class_Iirr irr_classK.
Arguments class_IirrK {gT G%G} [xG%g] GxG : rename.
Arguments character_table {gT} G%g.
Section InnerProduct.
Variable (gT : finGroupType) (G : {group gT}).

Lemma cfdot_sum_irr phi psi :
'[phi, psi]_G = \sum_i '[phi, 'chi_i] * '[psi, 'chi_i]^*.