(* Properties concerning basic local environment slicing ********************)
(* Note: the constant 0 cannot be generalized *)
-lemma lsubsv_ldrop_O1_conf: â\88\80h,g,G,L1,L2. G â\8a¢ L1 ¡â\8a\91[h, g] L2 →
+lemma lsubsv_ldrop_O1_conf: â\88\80h,g,G,L1,L2. G â\8a¢ L1 ¡â«\83[h, g] L2 →
∀K1,s,e. ⇩[s, 0, e] L1 ≡ K1 →
- â\88\83â\88\83K2. G â\8a¢ K1 ¡â\8a\91[h, g] K2 & ⇩[s, 0, e] L2 ≡ K2.
+ â\88\83â\88\83K2. G â\8a¢ K1 ¡â«\83[h, g] K2 & ⇩[s, 0, e] L2 ≡ K2.
#h #g #G #L1 #L2 #H elim H -L1 -L2
[ /2 width=3 by ex2_intro/
| #I #L1 #L2 #V #_ #IHL12 #K1 #s #e #H
qed-.
(* Note: the constant 0 cannot be generalized *)
-lemma lsubsv_ldrop_O1_trans: â\88\80h,g,G,L1,L2. G â\8a¢ L1 ¡â\8a\91[h, g] L2 →
+lemma lsubsv_ldrop_O1_trans: â\88\80h,g,G,L1,L2. G â\8a¢ L1 ¡â«\83[h, g] L2 →
∀K2,s, e. ⇩[s, 0, e] L2 ≡ K2 →
- â\88\83â\88\83K1. G â\8a¢ K1 ¡â\8a\91[h, g] K2 & ⇩[s, 0, e] L1 ≡ K1.
+ â\88\83â\88\83K1. G â\8a¢ K1 ¡â«\83[h, g] K2 & ⇩[s, 0, e] L1 ≡ K1.
#h #g #G #L1 #L2 #H elim H -L1 -L2
[ /2 width=3 by ex2_intro/
| #I #L1 #L2 #V #_ #IHL12 #K2 #s #e #H