Global Instance Euclid_neutral_follows_from_Tarski_neutral : euclidean_neutral.

(* Specifications: *)
Lemma BetS_BetS : forall A B C, Definitions.BetS A B C <-> BetS A B C.
Lemma Col_Col : forall A B C, Definitions.Col A B C <-> Col A B C.
Lemma nCol_not_Col : forall A B C, nCol A B C -> ~ Col A B C.
Lemma InCirc_not_OnCirc: forall J A, InCirc J A -> ~ OnCirc J A.
Lemma InCirc_InCirc : forall A K, euclidean_axioms.InCirc A K -> InCirc A K.
Lemma OnCirc_OnCirc : forall A P Q R, Q<>R -> OnCirc A (P,Q,R) -> euclidean_axioms.OnCirc A (P,Q,R).
Lemma eOnCirc_OnCirc : forall A K, euclidean_axioms.OnCirc A K -> OnCirc A K.
Lemma eOutCirc_OutCirc : forall A K, euclidean_axioms.OutCirc A K -> OutCirc A K.
Lemma InCircCenter: forall U V W, V<>W -> InCirc U (U, V, W).