Section GeneralMonotonicity.
Variable gf: rel -> rel.

Lemma gpaco2_mon_bot (gf' clo clo': rel -> rel) x0 x1 r' rg'
(IN: @gpaco2 gf clo bot2 bot2 x0 x1)
(gf_mon: monotone2 gf)
(LEgf: gf <3= gf')
(LEclo: clo <3= clo'):
@gpaco2 gf' clo' r' rg' x0 x1.