Definition Concyclic_gen A B C D :=
  Concyclic A B C D \/ (Col A B C /\ Col A B D /\ Col A C D /\ Col B C D).Definition concy : arity Tpoint 4 := Concyclic_gen.

Lemma concy_perm_1 : forall (A : Tpoint) (X : cartesianPower Tpoint 3), app_1_n concy A X -> app_n_1 concy X A.