X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Freduction%2Fcix_lift.ma;h=e27040b5fedc2e180b9f5cf31e97e38e80bd6208;hb=e258362c37ec6d9132ec57bd5e4987d148c10799;hp=f81f17541e4fbe583124964018b22b48d109fd0a;hpb=ef49e0e7f5f298c299afdd3cbfdc2404ecb93879;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/basic_2/reduction/cix_lift.ma b/matita/matita/contribs/lambdadelta/basic_2/reduction/cix_lift.ma
index f81f17541..e27040b5f 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/reduction/cix_lift.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/reduction/cix_lift.ma
@@ -15,21 +15,21 @@
 include "basic_2/reduction/crx_lift.ma".
 include "basic_2/reduction/cix.ma".
 
-(* CONTEXT-SENSITIVE EXTENDED IRREDUCIBLE TERMS *****************************)
+(* IRREDUCIBLE TERMS FOR CONTEXT-SENSITIVE EXTENDED REDUCTION ***************)
 
 (* Advanced properties ******************************************************)
 
-lemma cix_lref: ∀h,g,L,i. ⇩[0, i] L ≡ ⋆ → ⦃h, L⦄ ⊢ 𝐈[g]⦃#i⦄.
-#h #g #L #i #HL #H elim (crx_inv_lref … H) -h #I #K #V #HLK
-lapply (ldrop_mono … HLK … HL) -L -i #H destruct
+lemma cix_lref: ∀h,g,G,L,i. ⬇[i] L ≡ ⋆ → ⦃G, L⦄ ⊢ ➡[h, g] 𝐈⦃#i⦄.
+#h #g #G #L #i #HL #H elim (crx_inv_lref … H) -h #I #K #V #HLK
+lapply (drop_mono … HLK … HL) -L -i #H destruct
 qed.
 
 (* Properties on relocation *************************************************)
 
-lemma cix_lift: ∀h,g,K,T. ⦃h, K⦄ ⊢ 𝐈[g]⦃T⦄ → ∀L,d,e. ⇩[d, e] L ≡ K →
-                ∀U. ⇧[d, e] T ≡ U → ⦃h, L⦄ ⊢ 𝐈[g]⦃U⦄.
-/3 width=7 by crx_inv_lift/ qed.
+lemma cix_lift: ∀h,g,G,K,T. ⦃G, K⦄ ⊢ ➡[h, g] 𝐈⦃T⦄ → ∀L,s,l,m. ⬇[s, l, m] L ≡ K →
+                ∀U. ⬆[l, m] T ≡ U → ⦃G, L⦄ ⊢ ➡[h, g] 𝐈⦃U⦄.
+/3 width=8 by crx_inv_lift/ qed.
 
-lemma cix_inv_lift: ∀h,g,L,U. ⦃h, L⦄ ⊢ 𝐈[g]⦃U⦄ → ∀K,d,e. ⇩[d, e] L ≡ K →
-                    ∀T. ⇧[d, e] T ≡ U → ⦃h, K⦄ ⊢ 𝐈[g]⦃T⦄.
-/3 width=7/ qed-.
+lemma cix_inv_lift: ∀h,g,G,L,U. ⦃G, L⦄ ⊢ ➡[h, g] 𝐈⦃U⦄ → ∀K,s,l,m. ⬇[s, l, m] L ≡ K →
+                    ∀T. ⬆[l, m] T ≡ U → ⦃G, K⦄ ⊢ ➡[h, g] 𝐈⦃T⦄.
+/3 width=8 by crx_lift/ qed-.