partial commit: "static" component ....

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / static / lsuba_aaa.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/static/lsuba_aaa.ma b/matita/matita/contribs/lambdadelta/basic_2/static/lsuba_aaa.ma
index 66e802aaed6e8348ef63c69c2deba38a170b267a..8818ae48c0de4343ccd882afdc211cfa0e8dacc9 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/static/lsuba_aaa.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/static/lsuba_aaa.ma
@@ -19,36 +19,38 @@ include "basic_2/static/lsuba_ldrop.ma".
 
 (* Properties concerning atomic arity assignment ****************************)
 
-lemma lsuba_aaa_conf: ∀L1,V,A. L1 ⊢ V ⁝ A → ∀L2. L1 ⁝⊑ L2 → L2 ⊢ V ⁝ A.
-#L1 #V #A #H elim H -L1 -V -A
+lemma lsuba_aaa_conf: ∀G,L1,V,A. ⦃G, L1⦄ ⊢ V ⁝ A →
+                      ∀L2. G ⊢ L1 ⁝⊑ L2 → ⦃G, L2⦄ ⊢ V ⁝ A.
+#G #L1 #V #A #H elim H -G -L1 -V -A
 [ //
-| #I #L1 #K1 #V1 #B #i #HLK1 #HV1B #IHV1 #L2 #HL12
+| #I #G #L1 #K1 #V #A #i #HLK1 #HV #IHV #L2 #HL12
   elim (lsuba_ldrop_O1_conf … HL12 … HLK1) -L1 #X #H #HLK2
   elim (lsuba_inv_pair1 … H) -H * #K2
   [ #HK12 #H destruct /3 width=5/
-  | #V2 #A1 #HV1A1 #HV2 #_ #H1 #H2 destruct
-    >(aaa_mono … HV1B … HV1A1) -B -HV1A1 /2 width=5/
+  | #W0 #V0 #A0 #HV0 #HW0 #_ #H1 #H2 #H3 destruct
+    lapply (aaa_mono … HV0 … HV) #H destruct -V0 /2 width=5/
   ]
 | /4 width=2/
 | /4 width=1/
 | /3 width=3/
 | /3 width=1/
 ]
-qed.
+qed-.
 
-lemma lsuba_aaa_trans: ∀L2,V,A. L2 ⊢ V ⁝ A → ∀L1. L1 ⁝⊑ L2 → L1 ⊢ V ⁝ A.
-#L2 #V #A #H elim H -L2 -V -A
+lemma lsuba_aaa_trans: ∀G,L2,V,A. ⦃G, L2⦄ ⊢ V ⁝ A →
+                       ∀L1. G ⊢ L1 ⁝⊑ L2 → ⦃G, L1⦄ ⊢ V ⁝ A.
+#G #L2 #V #A #H elim H -G -L2 -V -A
 [ //
-| #I #L2 #K2 #V2 #B #i #HLK2 #HV2B #IHV2 #L1 #HL12
+| #I #G #L2 #K2 #V #A #i #HLK2 #H1V #IHV #L1 #HL12
   elim (lsuba_ldrop_O1_trans … HL12 … HLK2) -L2 #X #H #HLK1
   elim (lsuba_inv_pair2 … H) -H * #K1
   [ #HK12 #H destruct /3 width=5/
-  | #V1 #A1 #HV1 #HV2A1 #_ #H1 #H2 destruct
-    >(aaa_mono … HV2B … HV2A1) -B -HV2A1 /2 width=5/
+  | #V0 #A0 #HV0 #H2V #_ #H1 #H2 destruct
+    lapply (aaa_mono … H2V … H1V) #H destruct -K2 /2 width=5/
   ]
 | /4 width=2/
 | /4 width=1/
 | /3 width=3/
 | /3 width=1/
 ]
-qed.
+qed-.