Section MorphAbelem.
Variables (aT rT : finGroupType) (D : {group aT}) (f : {morphism D >-> rT}).
Implicit Types (G H E : {group aT}) (A B : {set aT}).

Lemma morphim_pElem p G E : E \in 'E_p(G) -> (f @* E)%G \in 'E_p(f @* G).