Instance incidentp_Proper (A:Tpoint) :
Proper (EqP ==>iff) (IncidentP A).

(* Specifications: *)
Lemma axiom_Incidp_morphism : forall M p q, IncidentP M p -> EqP p q -> IncidentP M q.
Lemma axiom_Incidp_dec : forall M p, IncidentP M p \/ ~ IncidentP M p.
Lemma axiom_plane_uniqueness : forall A B C p q, ~ Col_H A B C -> IncidentP A p -> IncidentP B p -> IncidentP C p -> IncidentP A q -> IncidentP B q -> IncidentP C q -> p =p= q.
Lemma axiom_one_point_on_plane : forall p, { A | IncidentP A p }.