Definition concy : arity Tpoint 4 := Concyclic_gen.

Lemma concyclic_gen_pseudo_trans : forall A B C D P Q R,
~ Col P Q R ->
Concyclic_gen P Q R A ->
Concyclic_gen P Q R B ->
Concyclic_gen P Q R C ->
Concyclic_gen P Q R D ->
Concyclic_gen A B C D.