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

Lemma axiom_cong_5' : forall A B C A' B' C', ~ Col_H A B C -> ~ Col_H A' B' C' ->
Cong A B A' B' -> Cong A C A' C' -> CongA B A C B' A' C' -> CongA A B C A' B' C'.