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

Lemma eq_dec_implies_between_cong_3 :
(forall A B:Tpoint, A=B \/ A<>B) ->
forall A B D E, A <> B -> Bet A B D -> Bet A B E -> Cong B D B E -> D = E.