Section Main.
Variable gf: rel -> rel.
Hypothesis gf_mon: monotone5 gf.
Variant gpaco5 clo r rg x0 x1 x2 x3 x4 : Prop :=
| gpaco5_intro (IN: @rclo5 clo (paco5 (compose gf (rclo5 clo)) (rg \5/ r) \5/ r) x0 x1 x2 x3 x4)
.
Definition gupaco5 clo r := gpaco5 clo r r.
Hint Resolve gpaco5_def_mon : paco.

Lemma gpaco5_weaken  clo r rg:
gpaco5 (gupaco5 clo) r rg <5= gpaco5 clo r rg.