apply le_comm.
eapply le_cong_le.
apply between_symmetry.
apply H.
apply between_symmetry.
apply H0.
apply le_comm.
assumption.
Cong.
Qed.

Lemma bet_le_le : forall A B C A' B' C', Bet A B C -> Bet A' B' C' -> Le A B A' B' -> Le B C B' C' -> Le A C A' C'.
intros.