Canonical Fitting_igFun := [igFun by Fitting_sub & morphim_Fitting].
Canonical Fitting_gFun := [gFun by morphim_Fitting].
Canonical Fitting_pgFun := [pgFun by morphim_Fitting].
Section IsoFitting.
Variables (gT rT : finGroupType) (G D : {group gT}) (f : {morphism D >-> rT}).

Lemma solvable_norm_abelem L G :
solvable G -> G <| L -> G :!=: 1 ->
exists H : {group gT}, [/\ H \subset G, H <| L, H :!=: 1 & is_abelem H].