Section Companion.
Variable gf: rel -> rel.
Hypothesis gf_mon: monotone12 gf.
Inductive cpn12 (r: rel) x0 x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 : Prop :=
| cpn12_intro
clo
(COM: compatible12 gf clo)
(CLO: clo r x0 x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11)
.

Lemma cpn12_uclo uclo
(MON: monotone12 uclo)
(WCOM: forall r, uclo (gf r) <12= gf (gupaco12 gf (uclo \13/ cpn12) r)):
uclo <13= gupaco12 gf cpn12.