Section GeneralMonotonicity.
Variable gf: rel -> rel.

Lemma gpaco14_mon_bot (gf' clo clo': rel -> rel) x0 x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 x12 x13 r' rg'
(IN: @gpaco14 gf clo bot14 bot14 x0 x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 x12 x13)
(gf_mon: monotone14 gf)
(LEgf: gf <15= gf')
(LEclo: clo <15= clo'):
@gpaco14 gf' clo' r' rg' x0 x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 x12 x13.