Section GeneralMonotonicity.
Variable gf: rel -> rel.

Lemma gpaco7_mon_bot (gf' clo clo': rel -> rel) x0 x1 x2 x3 x4 x5 x6 r' rg'
(IN: @gpaco7 gf clo bot7 bot7 x0 x1 x2 x3 x4 x5 x6)
(gf_mon: monotone7 gf)
(LEgf: gf <8= gf')
(LEclo: clo <8= clo'):
@gpaco7 gf' clo' r' rg' x0 x1 x2 x3 x4 x5 x6.