partial commit: "reduction" component

[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 730a66fb16b730577806ef5c2f07f5a0a63d0f0c..95776767a038907d406a2b09b7a1b32ec80cedc6 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/reduction/cix_lift.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/reduction/cix_lift.ma
@@ -19,17 +19,17 @@ include "basic_2/reduction/cix.ma".
 
 (* Advanced properties ******************************************************)
 
-lemma cix_lref: ∀h,g,L,i. ⇩[0, i] L ≡ ⋆ → ⦃G, L⦄ ⊢ 𝐈[h, g]⦃#i⦄.
-#h #g #L #i #HL #H elim (crx_inv_lref … H) -h #I #K #V #HLK
+lemma cix_lref: ∀h,g,G,L,i. ⇩[0, i] L ≡ ⋆ → ⦃G, L⦄ ⊢ 𝐈[h, g]⦃#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
 qed.
 
 (* Properties on relocation *************************************************)
 
-lemma cix_lift: ∀h,g,K,T. ⦃h, K⦄ ⊢ 𝐈[h, g]⦃T⦄ → ∀L,d,e. ⇩[d, e] L ≡ K →
+lemma cix_lift: ∀h,g,G,K,T. ⦃G, K⦄ ⊢ 𝐈[h, g]⦃T⦄ → ∀L,d,e. ⇩[d, e] L ≡ K →
                 ∀U. ⇧[d, e] T ≡ U → ⦃G, L⦄ ⊢ 𝐈[h, g]⦃U⦄.
 /3 width=7 by crx_inv_lift/ qed.
 
-lemma cix_inv_lift: ∀h,g,L,U. ⦃G, L⦄ ⊢ 𝐈[h, g]⦃U⦄ → ∀K,d,e. ⇩[d, e] L ≡ K →
-                    ∀T. ⇧[d, e] T ≡ U → ⦃h, K⦄ ⊢ 𝐈[h, g]⦃T⦄.
+lemma cix_inv_lift: ∀h,g,G,L,U. ⦃G, L⦄ ⊢ 𝐈[h, g]⦃U⦄ → ∀K,d,e. ⇩[d, e] L ≡ K →
+                    ∀T. ⇧[d, e] T ≡ U → ⦃G, K⦄ ⊢ 𝐈[h, g]⦃T⦄.
 /3 width=7/ qed-.