Section GeneralMonotonicity.
Variable gf: rel -> rel.

Lemma gpaco3_mon_gen (gf' clo clo': rel -> rel) x0 x1 x2 r r' rg rg'
(IN: @gpaco3 gf clo r rg x0 x1 x2)
(gf_mon: monotone3 gf)
(LEgf: gf <4= gf')
(LEclo: clo <4= clo')
(LEr: r <3= r')
(LErg: rg <3= rg') :
@gpaco3 gf' clo' r' rg' x0 x1 x2.