(* GENERAL SLICING FOR LOCAL ENVIRONMENTS ***********************************)
definition d_liftable1_all: relation2 lenv term → predicate bool ≝
- λR,s. ∀L,K,t. ⬇*[s, t] L ≡ K →
- ∀Ts,Us. ⬆*[t] Ts ≡ Us →
+ λR,c. ∀L,K,f. ⬇*[c, f] L ≡ K →
+ ∀Ts,Us. ⬆*[f] Ts ≡ Us →
all … (R K) Ts → all … (R L) Us.
(* Properties on general relocation for term vectors ************************)
(* Basic_2A1: was: d1_liftables_liftables_all *)
-lemma d1_liftable_liftable_all: ∀R,s. d_liftable1 R s → d_liftable1_all R s.
-#R #s #HR #L #K #t #HLK #Ts #Us #H elim H -Ts -Us normalize //
+lemma d1_liftable_liftable_all: ∀R,c. d_liftable1 R c → d_liftable1_all R c.
+#R #c #HR #L #K #f #HLK #Ts #Us #H elim H -Ts -Us normalize //
#Ts #Us #T #U #HTU #_ #IHTUs * /3 width=7 by conj/
qed.