proposition: Lemma line_on_plane' : forall A B C p, A <> B -> IncidP A p -> IncidP B p -> ColH A B C -> IncidP C p.
proof: Proof. intros. destruct H2 as [l]. spliter. apply (line_on_plane A B l); assumption. Qed.
imports: Setoid Coq.Classes.Morphisms Coq.Classes.Morphisms_Prop GeoCoq.Axioms.gupta_inspired_variant_axioms GeoCoq.Meta_theory.Models.gupta_inspired_to_tarski GeoCoq.Tactics.Coinc.tactics_axioms GeoCoq.Tactics.Coinc.ColR GeoCoq.Meta_theory.Dimension_axioms.upper_dim_3 GeoCoq.Meta_theory.Parallel_postulates.parallel_postulates GeoCoq.Axioms.hilbert_axioms