X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fdynamic%2Flsubsv_ldrop.ma;h=7bf755141cd375b3ab0418591de22ee94a10fe62;hb=c9a1672c725945b47f9ea8af3c23b67cf9026f01;hp=f8caa3aee1a0bca3568538cb2a5853531d296c18;hpb=65008df95049eb835941ffea1aa682c9253c4c2b;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/basic_2/dynamic/lsubsv_ldrop.ma b/matita/matita/contribs/lambdadelta/basic_2/dynamic/lsubsv_ldrop.ma
index f8caa3aee..7bf755141 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/dynamic/lsubsv_ldrop.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/dynamic/lsubsv_ldrop.ma
@@ -19,10 +19,10 @@ include "basic_2/dynamic/lsubsv.ma".
 (* Properties concerning basic local environment slicing ********************)
 
 (* Note: the constant 0 cannot be generalized *)
-lemma lsubsv_ldrop_O1_conf: ∀h,g,L1,L2. h ⊢ L1 ¡⊑[g] L2 →
+lemma lsubsv_ldrop_O1_conf: ∀h,g,G,L1,L2. G ⊢ L1 ¡⊑[h, g] L2 →
                             ∀K1,e. ⇩[0, e] L1 ≡ K1 →
-                            ∃∃K2. h ⊢ K1 ¡⊑[g] K2 & ⇩[0, e] L2 ≡ K2.
-#h #g #L1 #L2 #H elim H -L1 -L2
+                            ∃∃K2. G ⊢ K1 ¡⊑[h, g] K2 & ⇩[0, e] L2 ≡ K2.
+#h #g #G #L1 #L2 #H elim H -L1 -L2
 [ /2 width=3/
 | #I #L1 #L2 #V #_ #IHL12 #K1 #e #H
   elim (ldrop_inv_O1_pair1 … H) -H * #He #HLK1
@@ -31,21 +31,21 @@ lemma lsubsv_ldrop_O1_conf: ∀h,g,L1,L2. h ⊢ L1 ¡⊑[g] L2 →
     <(ldrop_inv_O2 … H) in HL12; -H /3 width=3/
   | elim (IHL12 … HLK1) -L1 /3 width=3/
   ]
-| #L1 #L2 #W #V #W1 #V2 #l #HV #HW #HW1 #HV2 #_ #IHL12 #K1 #e #H
+| #L1 #L2 #W #V #l #H1W #HV #HVW #H2W #H1l #H2l #_ #IHL12 #K1 #e #H
   elim (ldrop_inv_O1_pair1 … H) -H * #He #HLK1
   [ destruct
     elim (IHL12 L1 0) -IHL12 // #X #HL12 #H
-    <(ldrop_inv_O2 … H) in HL12; -H /3 width=6/
+    <(ldrop_inv_O2 … H) in HL12; -H /3 width=4/
   | elim (IHL12 … HLK1) -L1 /3 width=3/
   ]
 ]
 qed-.
 
 (* Note: the constant 0 cannot be generalized *)
-lemma lsubsv_ldrop_O1_trans: ∀h,g,L1,L2. h ⊢ L1 ¡⊑[g] L2 →
+lemma lsubsv_ldrop_O1_trans: ∀h,g,G,L1,L2. G ⊢ L1 ¡⊑[h, g] L2 →
                              ∀K2,e. ⇩[0, e] L2 ≡ K2 →
-                             ∃∃K1. h ⊢ K1 ¡⊑[g] K2 & ⇩[0, e] L1 ≡ K1.
-#h #g #L1 #L2 #H elim H -L1 -L2
+                             ∃∃K1. G ⊢ K1 ¡⊑[h, g] K2 & ⇩[0, e] L1 ≡ K1.
+#h #g #G #L1 #L2 #H elim H -L1 -L2
 [ /2 width=3/
 | #I #L1 #L2 #V #_ #IHL12 #K2 #e #H
   elim (ldrop_inv_O1_pair1 … H) -H * #He #HLK2
@@ -54,11 +54,11 @@ lemma lsubsv_ldrop_O1_trans: ∀h,g,L1,L2. h ⊢ L1 ¡⊑[g] L2 →
     <(ldrop_inv_O2 … H) in HL12; -H /3 width=3/
   | elim (IHL12 … HLK2) -L2 /3 width=3/
   ]
-| #L1 #L2 #W #V #W1 #V2 #l #HV #HW #HW1 #HV2 #_ #IHL12 #K2 #e #H
+| #L1 #L2 #W #V #l #H1W #HV #HVW #H2W #H1l #H2l #_ #IHL12 #K2 #e #H
   elim (ldrop_inv_O1_pair1 … H) -H * #He #HLK2
   [ destruct
     elim (IHL12 L2 0) -IHL12 // #X #HL12 #H
-    <(ldrop_inv_O2 … H) in HL12; -H /3 width=6/
+    <(ldrop_inv_O2 … H) in HL12; -H /3 width=4/
   | elim (IHL12 … HLK2) -L2 /3 width=3/
   ]
 ]