Arguments aut_Iirr_inj {gT G} u [i1 i2] : rename.
Arguments conjC_IirrK {gT G} i : rename.
Section Coset.
Variable (gT : finGroupType).
Implicit Types G H : {group gT}.

Lemma quo_IirrKeq G H :
H <| G ->
forall i, (mod_Iirr (quo_Iirr H i) == i) = (H \subset cfker 'chi[G]_i).