Definition same_side' := fun A B X Y =>
  X <> Y /\ forall l, IncidentL X l -> IncidentL Y l -> same_side A B l.

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'.