End IrrConstt.
Arguments irr_constt {gT B%g} phi%CF.
Section Kernel.
Variable (gT : finGroupType) (G : {group gT}).
Implicit Types (phi chi xi : 'CF(G)) (H : {group gT}).

Lemma cfkerE chi :
chi \is a character ->
cfker chi = G :&: \bigcap_(i in irr_constt chi) cfker 'chi_i.