proposition: Lemma IncidLP_morphism : forall l m p q, IncidLP l p -> EqL l m -> EqP p q -> IncidLP m q.
proof: Proof. unfold IncidLP. intros. apply IncidP_morphism with p. apply H. apply IncidL_morphism with m. assumption. apply Equivalence.equiv_symmetric_obligation_1 with EqL_Equiv. assumption. 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