Require Export GeoCoq.Tarski_dev.Ch04_col.
Section Equivalence_between_decidability_properties_of_basic_relations.
Context `{Tn:Tarski_neutral_dimensionless}.

Lemma eq_dec_implies_point_construction_different :
(forall A B:Tpoint, A=B \/ A<>B) ->
forall A B, exists C, Bet A B C /\ B <> C.