proposition: Lemma axiom_Incidp_morphism : forall M p q, IncidentP M p -> EqP p q -> IncidentP M q.
proof: Proof. intros M p q Hp H. destruct (eqp_incidentp M p q H). intuition. Qed.
imports: Morphisms GeoCoq.Axioms.hilbert_axioms GeoCoq.Axioms.parallel_postulates GeoCoq.Meta_theory.Parallel_postulates.tarski_playfair GeoCoq.Meta_theory.Parallel_postulates.SPP_ID GeoCoq.Meta_theory.Dimension_axioms.upper_dim_3 GeoCoq.Meta_theory.Parallel_postulates.parallel_postulates GeoCoq.Utils.triples