Section GeneralMonotonicity.
Variable gf: rel -> rel.

Lemma gpaco11_mon_bot (gf' clo clo': rel -> rel) x0 x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 r' rg'
(IN: @gpaco11 gf clo bot11 bot11 x0 x1 x2 x3 x4 x5 x6 x7 x8 x9 x10)
(gf_mon: monotone11 gf)
(LEgf: gf <12= gf')
(LEclo: clo <12= clo'):
@gpaco11 gf' clo' r' rg' x0 x1 x2 x3 x4 x5 x6 x7 x8 x9 x10.