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diff --git a/matita/contribs/LAMBDA-TYPES/LambdaDelta-1/subst0/defs.ma b/matita/contribs/LAMBDA-TYPES/LambdaDelta-1/subst0/defs.ma
new file mode 100644
index 000000000..ef65debe3
--- /dev/null
+++ b/matita/contribs/LAMBDA-TYPES/LambdaDelta-1/subst0/defs.ma
@@ -0,0 +1,32 @@
+(**************************************************************************)
+(*       ___                                                              *)
+(*      ||M||                                                             *)
+(*      ||A||       A project by Andrea Asperti                           *)
+(*      ||T||                                                             *)
+(*      ||I||       Developers:                                           *)
+(*      ||T||         The HELM team.                                      *)
+(*      ||A||         http://helm.cs.unibo.it                             *)
+(*      \   /                                                             *)
+(*       \ /        This file is distributed under the terms of the       *)
+(*        v         GNU General Public License Version 2                  *)
+(*                                                                        *)
+(**************************************************************************)
+
+(* This file was automatically generated: do not edit *********************)
+
+include "LambdaDelta-1/lift/defs.ma".
+
+inductive subst0: nat \to (T \to (T \to (T \to Prop))) \def
+| subst0_lref: \forall (v: T).(\forall (i: nat).(subst0 i v (TLRef i) (lift 
+(S i) O v)))
+| subst0_fst: \forall (v: T).(\forall (u2: T).(\forall (u1: T).(\forall (i: 
+nat).((subst0 i v u1 u2) \to (\forall (t: T).(\forall (k: K).(subst0 i v 
+(THead k u1 t) (THead k u2 t))))))))
+| subst0_snd: \forall (k: K).(\forall (v: T).(\forall (t2: T).(\forall (t1: 
+T).(\forall (i: nat).((subst0 (s k i) v t1 t2) \to (\forall (u: T).(subst0 i 
+v (THead k u t1) (THead k u t2))))))))
+| subst0_both: \forall (v: T).(\forall (u1: T).(\forall (u2: T).(\forall (i: 
+nat).((subst0 i v u1 u2) \to (\forall (k: K).(\forall (t1: T).(\forall (t2: 
+T).((subst0 (s k i) v t1 t2) \to (subst0 i v (THead k u1 t1) (THead k u2 
+t2)))))))))).
+