Section GeneralMonotonicity.
Variable gf: rel -> rel.

Lemma gpaco4_mon_bot (gf' clo clo': rel -> rel) x0 x1 x2 x3 r' rg'
(IN: @gpaco4 gf clo bot4 bot4 x0 x1 x2 x3)
(gf_mon: monotone4 gf)
(LEgf: gf <5= gf')
(LEclo: clo <5= clo'):
@gpaco4 gf' clo' r' rg' x0 x1 x2 x3.