proposition: Lemma axiom_line_existence : forall A B, A<>B -> exists l, IncidentL A l /\ IncidentL B l.
proof: Proof. intros. exists (Lin A B H). unfold IncidentL. 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