Tarski_euclidean Rcf_to_T_PED.
Proof. split; exact euclidT. Defined.

(* Specifications: *)
Lemma cong_pseudo_reflexivity a b : cong a b b a.
Lemma cong_identity a b c : cong a b c c -> a = b.
Lemma cong_inner_transitivity a b c d e f : cong a b e f -> cong c d e f -> cong a b c d.
Lemma betE_sym a b c : betE a b c = betE c b a.