Section GeneralMonotonicity.
Variable gf: rel -> rel.

Lemma gpaco5_mon_bot (gf' clo clo': rel -> rel) x0 x1 x2 x3 x4 r' rg'
(IN: @gpaco5 gf clo bot5 bot5 x0 x1 x2 x3 x4)
(gf_mon: monotone5 gf)
(LEgf: gf <6= gf')
(LEclo: clo <6= clo'):
@gpaco5 gf' clo' r' rg' x0 x1 x2 x3 x4.