Definition T A B C : Prop := ~ (A<>B /\ B<>C /\ ~ BetH A B C).Definition ColB A B C := ~ (~ T C A B /\ ~ T A C B /\ ~ T A B C).

Lemma between_inner_transitivity_B : forall A B C D : Tpoint, BetH A B D -> BetH B C D -> BetH A B C.