renaming in basic_2

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / relocation / drops_vector.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/relocation/drops_vector.ma b/matita/matita/contribs/lambdadelta/basic_2/relocation/drops_vector.ma
index 63bc71da6d090c3ad6dec5b4802891b400b5da5a..6a7560248f692ed7c04de6d7ed21ea61f4966c62 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/relocation/drops_vector.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/relocation/drops_vector.ma
@@ -15,17 +15,18 @@
 include "basic_2/relocation/lifts_vector.ma".
 include "basic_2/relocation/drops.ma".
 
-(* GENERAL SLICING FOR LOCAL ENVIRONMENTS ***********************************)
+(* GENERIC 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 →
-                            all … (R K) Ts → all … (R L) Us.
+definition d_liftable1_all: predicate (relation2 lenv term) ≝
+                            λR. ∀K,Ts. all … (R K) Ts →
+                            ∀b,f,L. ⬇*[b, f] L ≘ K →
+                            ∀Us. ⬆*[f] Ts ≘ Us → all … (R L) Us.
 
-(* Properties on general relocation for term vectors ************************)
+(* Properties with generic 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. d_liftable1 R → d_liftable1_all R.
+#R #HR #K #Ts #HTs #b #f #L #HLK #Us #H
+generalize in match HTs; -HTs elim H -Ts -Us normalize //
 #Ts #Us #T #U #HTU #_ #IHTUs * /3 width=7 by conj/
 qed.