X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Freduction%2Fcnx_lift.ma;h=f52149d5b2c58270583cb89baa921fe067017cd2;hb=2ba2dc23443ad764adab652e06d6f5ed10bd912d;hp=750d23995c390f9a5ee187f502179ba4858d9f46;hpb=ef49e0e7f5f298c299afdd3cbfdc2404ecb93879;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 750d23995..f52149d5b 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/reduction/cnx_lift.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/reduction/cnx_lift.ma
@@ -19,8 +19,8 @@ include "basic_2/reduction/cnx.ma".
 
 (* Advanced properties ******************************************************)
 
-lemma cnx_lref_atom: ∀h,g,L,i. ⇩[0, i] L ≡ ⋆ → ⦃h, L⦄ ⊢ 𝐍[g]⦃#i⦄.
-#h #g #L #i #HL #X #H
+lemma cnx_lref_atom: ∀h,g,G,L,i. ⇩[i] L ≡ ⋆ → ⦃G, L⦄ ⊢ 𝐍[h, g]⦃#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
@@ -28,17 +28,17 @@ qed.
 
 (* Relocation properties ****************************************************)
 
-lemma cnx_lift: ∀h,g,L0,L,T,T0,d,e. ⦃h, L⦄ ⊢ 𝐍[g]⦃T⦄ → ⇩[d, e] L0 ≡ L →
-                ⇧[d, e] T ≡ T0 → ⦃h, L0⦄ ⊢ 𝐍[g]⦃T0⦄.
-#h #g #L0 #L #T #T0 #d #e #HLT #HL0 #HT0 #X #H
+lemma cnx_lift: ∀h,g,G,L0,L,T,T0,s,d,e. ⦃G, L⦄ ⊢ 𝐍[h, g]⦃T⦄ → ⇩[s, d, e] L0 ≡ L →
+                ⇧[d, e] T ≡ T0 → ⦃G, L0⦄ ⊢ 𝐍[h, g]⦃T0⦄.
+#h #g #G #L0 #L #T #T0 #s #d #e #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,L0,L,T,T0,d,e. ⦃h, L0⦄ ⊢ 𝐍[g]⦃T0⦄ → ⇩[d, e] L0 ≡ L →
-                    ⇧[d, e] T ≡ T0 → ⦃h, L⦄ ⊢ 𝐍[g]⦃T⦄.
-#h #g #L0 #L #T #T0 #d #e #HLT0 #HL0 #HT0 #X #H
+lemma cnx_inv_lift: ∀h,g,G,L0,L,T,T0,s,d,e. ⦃G, L0⦄ ⊢ 𝐍[h, g]⦃T0⦄ → ⇩[s, d, e] L0 ≡ L →
+                    ⇧[d, e] T ≡ T0 → ⦃G, L⦄ ⊢ 𝐍[h, g]⦃T⦄.
+#h #g #G #L0 #L #T #T0 #s #d #e #HLT0 #HL0 #HT0 #X #H
 elim (lift_total X d e) #X0 #HX0
 lapply (cpx_lift … H … HL0 … HT0 … HX0) -L #HTX0
 >(HLT0 … HTX0) in HX0; -L0 -X0 #H