Canonical Ohm_igFun i := [igFun by Ohm_sub i & Ohm_cont i].
Canonical Ohm_gFun i := [gFun by Ohm_cont i].
Canonical Ohm_mgFun i := [mgFun by OhmS i].
Canonical Mho_igFun i := [igFun by Mho_sub i & Mho_cont i].
Canonical Mho_gFun i := [gFun by Mho_cont i].
Canonical Mho_mgFun i := [mgFun by MhoS i].
Section char.
Variables (n : nat) (gT rT : finGroupType) (D G : {group gT}).

Lemma abelem_splits p G H : p.-abelem G -> H \subset G -> [splits G, over H].
Fact abelian_type_subproof G :
{H : {group gT} & abelian G -> {x | #[x] = exponent G & <[x]> \x H = G}}.