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