fact: Definition hyperbolic_plane_postulate := forall A1 A2 P, ~ Col A1 A2 P -> exists B1 B2 C1 C2, Par A1 A2 B1 B2 /\ Col P B1 B2 /\ Par A1 A2 C1 C2 /\ Col P C1 C2 /\ ~ Col C1 B1 B2.
imports: GeoCoq.Axioms.continuity_axioms GeoCoq.Meta_theory.Parallel_postulates.parallel_postulates