Section GeneralMonotonicity.
Variable gf: rel -> rel.

Lemma gpaco8_mon_bot (gf' clo clo': rel -> rel) x0 x1 x2 x3 x4 x5 x6 x7 r' rg'
(IN: @gpaco8 gf clo bot8 bot8 x0 x1 x2 x3 x4 x5 x6 x7)
(gf_mon: monotone8 gf)
(LEgf: gf <9= gf')
(LEclo: clo <9= clo'):
@gpaco8 gf' clo' r' rg' x0 x1 x2 x3 x4 x5 x6 x7.