Notation "f ^-1" := (inv_ahom f) : lrfun_scope.

(* Specifications: *)
Lemma comp_kHom_img K E f g :
kHom K (g @: E) f -> kHom K E g -> kHom K E (f \o g).
Lemma comp_kHom K E f g : kHom K {:L} f -> kHom K E g -> kHom K E (f \o g).
End kHom.