Section RClo.
Inductive rclo12 (clo: rel->rel) (r: rel): rel :=
| rclo12_base
x0 x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11
(IN: r x0 x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11):
@rclo12 clo r x0 x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11
| rclo12_clo'
r' x0 x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11
(LE: r' <12= rclo12 clo r)
(IN: clo r' x0 x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11):
@rclo12 clo r x0 x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11
.

Lemma rclo12_compose clo r:
rclo12 (rclo12 clo) r <12= rclo12 clo r.