proposition: Lemma col2_diff_inj_line__diff : forall {Tm: Tarski_neutral_dimensionless} (f : @Tpoint Tn -> @Tpoint Tm) P Q, inj_line f P Q -> forall A B, Col P Q A -> Col P Q B -> A <> B -> f A <> f B.
proof: Proof. intros Tm f P Q finj A B HA HB HAB Habs. apply HAB, finj; assumption. Qed.
imports: GeoCoq.Axioms.continuity_axioms GeoCoq.Meta_theory.Dimension_axioms.upper_dim_2 GeoCoq.Meta_theory.Dimension_axioms.upper_dim_3 GeoCoq.Meta_theory.Continuity.grad