Section MoreRestrict.
Variables (gT : finGroupType) (G H : {group gT}).
Implicit Types (A : {set gT}) (phi : 'CF(G)).
Definition cfMorph phi := Cfun 1 (cfMorph_subproof phi).

Lemma cfMorphE phi x : G \subset D -> x \in G -> cfMorph phi x = phi (f x).