Instance paco1_2_0_inst  T0 (gf_0 gf_1 : rel1 T0->_) r_0 r_1 x0 : paco_class (paco1_2_0 gf_0 gf_1 r_0 r_1 x0) :=
{ pacoacc    := paco1_2_0_acc gf_0 gf_1;
  pacomult   := paco1_2_0_mult gf_0 gf_1;
  pacofold   := paco1_2_0_fold gf_0 gf_1;
  pacounfold := paco1_2_0_unfold gf_0 gf_1 }.Instance paco1_2_1_inst  T0 (gf_0 gf_1 : rel1 T0->_) r_0 r_1 x0 : paco_class (paco1_2_1 gf_0 gf_1 r_0 r_1 x0) :=
{ pacoacc    := paco1_2_1_acc gf_0 gf_1;
  pacomult   := paco1_2_1_mult gf_0 gf_1;
  pacofold   := paco1_2_1_fold gf_0 gf_1;
  pacounfold := paco1_2_1_unfold gf_0 gf_1 }.Definition monotone1_3 T0 (gf: rel1 T0 -> rel1 T0 -> rel1 T0 -> rel1 T0) :=
  forall x0 r_0 r_1 r_2 r'_0 r'_1 r'_2 (IN: gf r_0 r_1 r_2 x0) (LE_0: r_0 <1= r'_0)(LE_1: r_1 <1= r'_1)(LE_2: r_2 <1= r'_2), gf r'_0 r'_1 r'_2 x0.

Theorem paco1_3_0_mult_strong: forall r_0 r_1 r_2, paco1_3_0 gf_0 gf_1 gf_2 (upaco1_3_0 gf_0 gf_1 gf_2 r_0 r_1 r_2) (upaco1_3_1 gf_0 gf_1 gf_2 r_0 r_1 r_2) (upaco1_3_2 gf_0 gf_1 gf_2 r_0 r_1 r_2) <1= paco1_3_0 gf_0 gf_1 gf_2 r_0 r_1 r_2.