(** This is equivalent to the out predicate of Tarski. *)

Lemma axiom_congaH_outH_congaH :
forall A B C D E F A' C' D' F' : Tpoint,
CongA A B C D E F ->
Between_H B A A' \/ Between_H B A' A \/ B <> A /\ A = A' ->
Between_H B C C' \/ Between_H B C' C \/ B <> C /\ C = C' ->
Between_H E D D' \/ Between_H E D' D \/ E <> D /\ D = D' ->
Between_H E F F' \/ Between_H E F' F \/ E <> F /\ F = F' ->
CongA A' B C' D' E F'.