Section Companion.
Variable gf: rel -> rel.
Hypothesis gf_mon: monotone10 gf.
Inductive cpn10 (r: rel) x0 x1 x2 x3 x4 x5 x6 x7 x8 x9 : Prop :=
| cpn10_intro
clo
(COM: compatible10 gf clo)
(CLO: clo r x0 x1 x2 x3 x4 x5 x6 x7 x8 x9)
.

Lemma cpn10_cpn r:
cpn10 (cpn10 r) <10= cpn10 r.