Definition test_coinc_for_col ss st (pa pb pc : positive) :=
  @test_coinc Tarski_is_a_Arity_for_col ss st (pa, (pb, pc)).Definition interp_CP_for_col (pa pb pc : positive) interp :=
  @interp_CP Tarski_is_a_Arity_for_col 2 (pa, (pb, pc)) interp.

(* Specifications: *)
Lemma test_coinc_ok_for_col : forall pa pb pc ss st interp, ss_ok_for_col ss interp -> st_ok_for_col st interp -> test_coinc_for_col ss st pa pb pc = true -> Col (interp pa) (interp pb) (interp pc).