Section Arg4_1.
Definition monotone4 T0 T1 T2 T3 (gf: rel4 T0 T1 T2 T3 -> rel4 T0 T1 T2 T3) :=
forall x0 x1 x2 x3 r r' (IN: gf r x0 x1 x2 x3) (LE: r <4= r'), gf r' x0 x1 x2 x3.
Variable T0 : Type.
Variable T1 : forall (x0: @T0), Type.
Variable T2 : forall (x0: @T0) (x1: @T1 x0), Type.
Variable T3 : forall (x0: @T0) (x1: @T1 x0) (x2: @T2 x0 x1), Type.
Variable gf : rel4 T0 T1 T2 T3 -> rel4 T0 T1 T2 T3.
Arguments gf : clear implicits.

Theorem paco4_3_1_acc: forall
l r_0 r_1 r_2 (OBG: forall rr (INC: r_1 <4= rr) (CIH: l <_paco_4= rr), l <_paco_4= paco4_3_1 gf_0 gf_1 gf_2 r_0 rr r_2),
l <4= paco4_3_1 gf_0 gf_1 gf_2 r_0 r_1 r_2.