(* Relocation properties ****************************************************)
lemma cpds_lift: ∀h,g,G. l_liftable (cpds h g G).
-#h #g #G #K #T1 #T2 * #T #l1 #l2 #Hl12 #Hl1 #HT1 #HT2 #L #d #e
+#h #g #G #K #T1 #T2 * #T #l1 #l2 #Hl12 #Hl1 #HT1 #HT2 #L #s #d #e
elim (lift_total T d e)
-/3 width=15 by cprs_lift, da_lift, lsstas_lift, ex4_3_intro/
+/3 width=16 by cprs_lift, da_lift, lsstas_lift, ex4_3_intro/
qed.
lemma cpds_inv_lift1: ∀h,g,G. l_deliftable_sn (cpds h g G).
-#h #g #G #L #U1 #U2 * #U #l1 #l2 #Hl12 #Hl1 #HU1 #HU2 #K #d #e #HLK #T1 #HTU1
+#h #g #G #L #U1 #U2 * #U #l1 #l2 #Hl12 #Hl1 #HU1 #HU2 #K #s #d #e #HLK #T1 #HTU1
lapply (da_inv_lift … Hl1 … HLK … HTU1) -Hl1 #Hl1
elim (lsstas_inv_lift1 … HU1 … HLK … HTU1) -U1 #T #HTU #HT1
-elim (cprs_inv_lift1 … HU2 … HLK … HTU) -U -L /3 width=9/
+elim (cprs_inv_lift1 … HU2 … HLK … HTU) -U -L
+/3 width=9 by ex4_3_intro, ex2_intro/
qed-.