Definition monotone5 T0 T1 T2 T3 T4 (gf: rel5 T0 T1 T2 T3 T4 -> rel5 T0 T1 T2 T3 T4) :=
  forall x0 x1 x2 x3 x4 r r' (IN: gf r x0 x1 x2 x3 x4) (LE: r <5= r'), gf r' x0 x1 x2 x3 x4.

(* Specifications: *)
Theorem paco5_acc: forall l r (OBG: forall rr (INC: r <5= rr) (CIH: l <_paco_5= rr), l <_paco_5= paco5 gf rr), l <5= paco5 gf r.
Theorem paco5_mon: monotone5 (paco5 gf).
Theorem paco5_mult_strong: forall r, paco5 gf (upaco5 gf r) <5= paco5 gf r.