X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Freduction%2Fcnx_lift.ma;h=e66223cace592e819498ad35dab52c5fe6e5ca2e;hb=e258362c37ec6d9132ec57bd5e4987d148c10799;hp=65c035f4ac2feb6d58366dfa02b6f46fd3aaae66;hpb=606dab57f31b66eb3f30f603185124b88dfad4c1;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/basic_2/reduction/cnx_lift.ma b/matita/matita/contribs/lambdadelta/basic_2/reduction/cnx_lift.ma
index 65c035f4a..e66223cac 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/reduction/cnx_lift.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/reduction/cnx_lift.ma
@@ -15,32 +15,23 @@
 include "basic_2/reduction/cpx_lift.ma".
 include "basic_2/reduction/cnx.ma".
 
-(* CONTEXT-SENSITIVE EXTENDED NORMAL TERMS **********************************)
-
-(* Advanced properties ******************************************************)
-
-lemma cnx_lref_atom: ∀h,g,G,L,i. ⇩[i] L ≡ ⋆ → ⦃G, L⦄ ⊢ ➡[h, g] 𝐍⦃#i⦄.
-#h #g #G #L #i #HL #X #H
-elim (cpx_inv_lref1 … H) -H // *
-#I #K #V1 #V2 #HLK #_ #_
-lapply (ldrop_mono … HL … HLK) -L #H destruct
-qed.
+(* NORMAL TERMS FOR CONTEXT-SENSITIVE EXTENDED REDUCTION ********************)
 
 (* Relocation properties ****************************************************)
 
-lemma cnx_lift: ∀h,g,G,L0,L,T,T0,s,d,e. ⦃G, L⦄ ⊢ ➡[h, g] 𝐍⦃T⦄ → ⇩[s, d, e] L0 ≡ L →
-                ⇧[d, e] T ≡ T0 → ⦃G, L0⦄ ⊢ ➡[h, g] 𝐍⦃T0⦄.
-#h #g #G #L0 #L #T #T0 #s #d #e #HLT #HL0 #HT0 #X #H
+lemma cnx_lift: ∀h,g,G,L0,L,T,T0,s,l,m. ⦃G, L⦄ ⊢ ➡[h, g] 𝐍⦃T⦄ → ⬇[s, l, m] L0 ≡ L →
+                ⬆[l, m] T ≡ T0 → ⦃G, L0⦄ ⊢ ➡[h, g] 𝐍⦃T0⦄.
+#h #g #G #L0 #L #T #T0 #s #l #m #HLT #HL0 #HT0 #X #H
 elim (cpx_inv_lift1 … H … HL0 … HT0) -L0 #T1 #HT10 #HT1
 <(HLT … HT1) in HT0; -L #HT0
 >(lift_mono … HT10 … HT0) -T1 -X //
 qed.
 
-lemma cnx_inv_lift: ∀h,g,G,L0,L,T,T0,s,d,e. ⦃G, L0⦄ ⊢ ➡[h, g] 𝐍⦃T0⦄ → ⇩[s, d, e] L0 ≡ L →
-                    ⇧[d, e] T ≡ T0 → ⦃G, L⦄ ⊢ ➡[h, g] 𝐍⦃T⦄.
-#h #g #G #L0 #L #T #T0 #s #d #e #HLT0 #HL0 #HT0 #X #H
-elim (lift_total X d e) #X0 #HX0
+lemma cnx_inv_lift: ∀h,g,G,L0,L,T,T0,s,l,m. ⦃G, L0⦄ ⊢ ➡[h, g] 𝐍⦃T0⦄ → ⬇[s, l, m] L0 ≡ L →
+                    ⬆[l, m] T ≡ T0 → ⦃G, L⦄ ⊢ ➡[h, g] 𝐍⦃T⦄.
+#h #g #G #L0 #L #T #T0 #s #l #m #HLT0 #HL0 #HT0 #X #H
+elim (lift_total X l m) #X0 #HX0
 lapply (cpx_lift … H … HL0 … HT0 … HX0) -L #HTX0
 >(HLT0 … HTX0) in HX0; -L0 -X0 #H
->(lift_inj … H … HT0) -T0 -X -d -e //
+>(lift_inj … H … HT0) -T0 -X -l -m //
 qed-.