Section GeneralMonotonicity.
Variable gf: rel -> rel.

Lemma gpaco2_mon_gen (gf' clo clo': rel -> rel) x0 x1 r r' rg rg'
(IN: @gpaco2 gf clo r rg x0 x1)
(gf_mon: monotone2 gf)
(LEgf: gf <3= gf')
(LEclo: clo <3= clo')
(LEr: r <2= r')
(LErg: rg <2= rg') :
@gpaco2 gf' clo' r' rg' x0 x1.