- ldrop is now drop as in basic_1

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / reduction / cix_lift.ma

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 72d5dbaac53a1a738ec73f6e513d905731eadab5..59d408deeb79114a9d156bae26c0b00a7fae62a9 100644 (file)
--- 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,G,L,i. ⇩[i] L ≡ ⋆ → ⦃G, L⦄ ⊢ 𝐈[h, g]⦃#i⦄.
+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 (ldrop_mono … HLK … HL) -L -i #H destruct
+lapply (drop_mono … HLK … HL) -L -i #H destruct
 qed.
 
 (* Properties on relocation *************************************************)
 
-lemma cix_lift: ∀h,g,G,K,T. ⦃G, K⦄ ⊢ 𝐈[h, g]⦃T⦄ → ∀L,s,d,e. ⇩[s, d, e] L ≡ K →
-                ∀U. ⇧[d, e] T ≡ U → ⦃G, L⦄ ⊢ 𝐈[h, g]⦃U⦄.
+lemma cix_lift: ∀h,g,G,K,T. ⦃G, K⦄ ⊢ ➡[h, g] 𝐈⦃T⦄ → ∀L,s,d,e. ⇩[s, d, e] L ≡ K →
+                ∀U. ⇧[d, e] T ≡ U → ⦃G, L⦄ ⊢ ➡[h, g] 𝐈⦃U⦄.
 /3 width=8 by crx_inv_lift/ qed.
 
-lemma cix_inv_lift: ∀h,g,G,L,U. ⦃G, L⦄ ⊢ 𝐈[h, g]⦃U⦄ → ∀K,s,d,e. ⇩[s, d, e] L ≡ K →
-                    ∀T. ⇧[d, e] T ≡ U → ⦃G, K⦄ ⊢ 𝐈[h, g]⦃T⦄.
+lemma cix_inv_lift: ∀h,g,G,L,U. ⦃G, L⦄ ⊢ ➡[h, g] 𝐈⦃U⦄ → ∀K,s,d,e. ⇩[s, d, e] L ≡ K →
+                    ∀T. ⇧[d, e] T ≡ U → ⦃G, K⦄ ⊢ ➡[h, g] 𝐈⦃T⦄.
 /3 width=8 by crx_lift/ qed-.