update in basic_2

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / dynamic / lsubsv_ldrop.ma

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 55e72c775d39abff2356068102b8ba153418bd83..6860950621767d4722abac6edaf4acf300568205 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/dynamic/lsubsv_ldrop.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/dynamic/lsubsv_ldrop.ma
@@ -19,9 +19,9 @@ 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,L1,L2. h ⊢ L1 ¡⊑[g] L2 →
                             ∀K1,e. ⇩[0, e] L1 ≡ K1 →
-                            ∃∃K2. h ⊢ K1 ⊩:⊑[g] K2 & ⇩[0, e] L2 ≡ K2.
+                            ∃∃K2. h ⊢ K1 ¡⊑[g] K2 & ⇩[0, e] L2 ≡ K2.
 #h #g #L1 #L2 #H elim H -L1 -L2
 [ /2 width=3/
 | #I #L1 #L2 #V #_ #IHL12 #K1 #e #H
@@ -31,20 +31,20 @@ lemma lsubsv_ldrop_O1_conf: ∀h,g,L1,L2. h ⊢ L1 ⊩:⊑[g] L2 →
     <(ldrop_inv_refl … H) in HL12; -H /3 width=3/
   | elim (IHL12 … HLK1) -L1 /3 width=3/
   ]
-| #L1 #L2 #V1 #W1 #W2 #l #HV1 #HVW1 #HW21 #HW2 #_ #IHL12 #K1 #e #H
+| #L1 #L2 #V1 #V2 #W1 #W2 #l #HV1 #HVW1 #HW12 #HW2 #HWV2 #_ #IHL12 #K1 #e #H
   elim (ldrop_inv_O1 … H) -H * #He #HLK1
   [ destruct
     elim (IHL12 L1 0 ?) -IHL12 // #X #HL12 #H
-    <(ldrop_inv_refl … H) in HL12; -H /3 width=4/
+    <(ldrop_inv_refl … H) in HL12; -H /3 width=6/
   | 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,L1,L2. h ⊢ L1 ¡⊑[g] L2 →
                              ∀K2,e. ⇩[0, e] L2 ≡ K2 →
-                             ∃∃K1. h ⊢ K1 ⊩:⊑[g] K2 & ⇩[0, e] L1 ≡ K1.
+                             ∃∃K1. h ⊢ K1 ¡⊑[g] K2 & ⇩[0, e] L1 ≡ K1.
 #h #g #L1 #L2 #H elim H -L1 -L2
 [ /2 width=3/
 | #I #L1 #L2 #V #_ #IHL12 #K2 #e #H
@@ -54,11 +54,11 @@ lemma lsubsv_ldrop_O1_trans: ∀h,g,L1,L2. h ⊢ L1 ⊩:⊑[g] L2 →
     <(ldrop_inv_refl … H) in HL12; -H /3 width=3/
   | elim (IHL12 … HLK2) -L2 /3 width=3/
   ]
-| #L1 #L2 #V1 #W1 #W2 #l #HV1 #HVW1 #HW21 #HW2 #_ #IHL12 #K2 #e #H
+| #L1 #L2 #V1 #V2 #W1 #W2 #l #HV1 #HVW1 #HW12 #HW2 #HWV2 #_ #IHL12 #K2 #e #H
   elim (ldrop_inv_O1 … H) -H * #He #HLK2
   [ destruct
     elim (IHL12 L2 0 ?) -IHL12 // #X #HL12 #H
-    <(ldrop_inv_refl … H) in HL12; -H /3 width=4/
+    <(ldrop_inv_refl … H) in HL12; -H /3 width=6/
   | elim (IHL12 … HLK2) -L2 /3 width=3/
   ]
 ]