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

Lemma eq_dec_implies_segment_construction_2 :
(forall A B:Tpoint, A=B \/ A<>B) ->
forall A Q B C, A<>Q -> exists X, (Bet Q A X \/ Bet Q X A) /\ Cong Q X B C.