Lemma tarski_s_euclid_remove_degenerated_cases : (forall A B C D T, A <> B -> A <> C -> A <> D -> A <> T -> B <> C -> B <> D -> B <> T -> C <> D -> C <> T -> D <> T -> ~ Col A B C -> Bet A D T -> Bet B D C -> exists x y : Tpoint, Bet A B x /\ Bet A C y /\ Bet x T y) -> forall A B C D T, Bet A D T -> Bet B D C -> A <> D -> exists x y : Tpoint, Bet A B x /\ Bet A C y /\ Bet x T y.