--- /dev/null
+(**************************************************************************)
+(* ___ *)
+(* ||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 *)
+(* *)
+(**************************************************************************)
+
+include "static_2/relocation/lifts_tueq.ma".
+include "basic_2/rt_transition/cpm_drops.ma".
+include "basic_2/rt_transition/cnu.ma".
+
+(* NORMAL TERMS FOR T-UNUNBOUND RT-TRANSITION *******************************)
+
+(* Advanced properties ******************************************************)
+
+lemma cnu_atom_drops (h) (b) (G) (L):
+ āi. ā¬*[b,šā“iāµ] L ā ā ā ā¦G,Lā¦ ā¢ ā„²[h] šā¦#iā¦.
+#h #b #G #L #i #Hi #n #X #H
+elim (cpm_inv_lref1_drops ā¦ H) -H * [ // || #m ] #K #V1 #V2 #HLK
+lapply (drops_gen b ā¦ HLK) -HLK #HLK
+lapply (drops_mono ā¦ Hi ā¦ HLK) -L #H destruct
+qed.
+
+lemma cnu_unit_drops (h) (I) (G) (L):
+ āK,i. ā¬*[i] L ā K.ā¤{I} ā ā¦G,Lā¦ ā¢ ā„²[h] šā¦#iā¦.
+#h #I #G #L #K #i #HLK #n #X #H
+elim (cpm_inv_lref1_drops ā¦ H) -H * [ // || #m ] #Y #V1 #V2 #HLY
+lapply (drops_mono ā¦ HLK ā¦ HLY) -L #H destruct
+qed.
+
+(* Properties with generic relocation ***************************************)
+
+lemma cnu_lifts (h) (G): d_liftable1 ā¦ (cnu h G).
+#h #G #K #T #HT #b #f #L #HLK #U #HTU #n #U0 #H
+elim (cpm_inv_lifts_sn ā¦ H ā¦ HLK ā¦ HTU) -b -L #T0 #HTU0 #HT0
+lapply (HT ā¦ HT0) -G -K /2 width=6 by tueq_lifts_bi/
+qed-.
+
+(* Inversion lemmas with generic relocation *********************************)
+
+lemma cnu_inv_lifts (h) (G): d_deliftable1 ā¦ (cnu h G).
+#h #G #L #U #HU #b #f #K #HLK #T #HTU #n #T0 #H
+elim (cpm_lifts_sn ā¦ H ā¦ HLK ā¦ HTU) -b -K #U0 #HTU0 #HU0
+lapply (HU ā¦ HU0) -G -L /2 width=6 by tueq_inv_lifts_bi/
+qed-.