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 cfun_sum_cfdot phi : phi = \sum_i '[phi, 'chi_i]_G *: 'chi_i.