Section GeneralMonotonicity.
Variable gf: rel -> rel.

Lemma gpaco13_mon_bot (gf' clo clo': rel -> rel) x0 x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 x12 r' rg'
(IN: @gpaco13 gf clo bot13 bot13 x0 x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 x12)
(gf_mon: monotone13 gf)
(LEgf: gf <14= gf')
(LEclo: clo <14= clo'):
@gpaco13 gf' clo' r' rg' x0 x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 x12.