Section GeneralMonotonicity.
Variable gf: rel -> rel.

Lemma gpaco3_mon_bot (gf' clo clo': rel -> rel) x0 x1 x2 r' rg'
(IN: @gpaco3 gf clo bot3 bot3 x0 x1 x2)
(gf_mon: monotone3 gf)
(LEgf: gf <4= gf')
(LEclo: clo <4= clo'):
@gpaco3 gf' clo' r' rg' x0 x1 x2.