Definition monotone7 T0 T1 T2 T3 T4 T5 T6 (gf: rel7 T0 T1 T2 T3 T4 T5 T6 -> rel7 T0 T1 T2 T3 T4 T5 T6) :=
  forall x0 x1 x2 x3 x4 x5 x6 r r' (IN: gf r x0 x1 x2 x3 x4 x5 x6) (LE: r <7= r'), gf r' x0 x1 x2 x3 x4 x5 x6.

Theorem paco7_mult_strong: forall r, paco7 gf (upaco7 gf r) <7= paco7 gf r.