Section GeneralMonotonicity.
Variable gf: rel -> rel.

Lemma gpaco9_mon_bot (gf' clo clo': rel -> rel) x0 x1 x2 x3 x4 x5 x6 x7 x8 r' rg'
(IN: @gpaco9 gf clo bot9 bot9 x0 x1 x2 x3 x4 x5 x6 x7 x8)
(gf_mon: monotone9 gf)
(LEgf: gf <10= gf')
(LEclo: clo <10= clo'):
@gpaco9 gf' clo' r' rg' x0 x1 x2 x3 x4 x5 x6 x7 x8.