Section Companion.
Variable gf: rel -> rel.
Hypothesis gf_mon: monotone13 gf.
Inductive cpn13 (r: rel) x0 x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 x12 : Prop :=
| cpn13_intro
clo
(COM: compatible13 gf clo)
(CLO: clo r x0 x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 x12)
.

Lemma cpn13_cpn r:
cpn13 (cpn13 r) <13= cpn13 r.