Section GeneralMonotonicity.
Variable gf: rel -> rel.

Lemma gpaco10_mon_bot (gf' clo clo': rel -> rel) x0 x1 x2 x3 x4 x5 x6 x7 x8 x9 r' rg'
(IN: @gpaco10 gf clo bot10 bot10 x0 x1 x2 x3 x4 x5 x6 x7 x8 x9)
(gf_mon: monotone10 gf)
(LEgf: gf <11= gf')
(LEclo: clo <11= clo'):
@gpaco10 gf' clo' r' rg' x0 x1 x2 x3 x4 x5 x6 x7 x8 x9.