Section segment_construction_independent.
Inductive Point :=
P0.
Definition Bet (A B C : Point) := False.
Definition Cong (A B C D : Point) := True.

Lemma five_segment : forall A A' B B' C C' D D',
Cong A B A' B' ->
Cong B C B' C' ->
Cong A D A' D' ->
Cong B D B' D' ->
Bet A B C -> Bet A' B' C' -> A <> B -> Cong C D C' D'.