X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;ds=sidebyside;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fstatic%2Flsuba_lsuba.ma;h=bb77403bda183e4be48348fdb6e03757e3eb302c;hb=a8cd6cc85182245df447a21caf16b6503fa4b3e5;hp=5d64516a51ebb439409019198a1c6f47ddfac056;hpb=e8998d29ab83e7b6aa495a079193705b2f6743d3;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/basic_2/static/lsuba_lsuba.ma b/matita/matita/contribs/lambdadelta/basic_2/static/lsuba_lsuba.ma
index 5d64516a5..bb77403bd 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/static/lsuba_lsuba.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/static/lsuba_lsuba.ma
@@ -18,18 +18,19 @@ include "basic_2/static/lsuba_aaa.ma".
 
 (* Main properties **********************************************************)
 
-theorem lsuba_trans: ∀L1,L. L1 ⁝⊑ L → ∀L2. L ⁝⊑ L2 → L1 ⁝⊑ L2.
-#L1 #L #H elim H -L1 -L
+theorem lsuba_trans: ∀G,L1,L. G ⊢ L1 ⫃⁝ L → ∀L2. G ⊢ L ⫃⁝ L2 → G ⊢ L1 ⫃⁝ L2.
+#G #L1 #L #H elim H -L1 -L
 [ #X #H >(lsuba_inv_atom1 … H) -H //
-| #I #L1 #L #V #HL1 #IHL1 #X #H
+| #I #L1 #L #Y #HL1 #IHL1 #X #H
   elim (lsuba_inv_pair1 … H) -H * #L2
-  [ #HL2 #H destruct /3 width=1/
-  | #V #A #HLV #HL2V #HL2 #H1 #H2 destruct /3 width=3/
+  [ #HL2 #H destruct /3 width=1 by lsuba_pair/
+  | #W #V #A #HV #HW #HL2 #H1 #H2 #H3 destruct
+    /3 width=3 by lsuba_beta, lsuba_aaa_trans/
   ]
-| #L1 #L #V1 #W #A1 #HV1 #HW #HL1 #IHL1 #X #H
+| #L1 #L #W #V #A #HV #HW #HL1 #IHL1 #X #H
   elim (lsuba_inv_pair1 … H) -H * #L2
-  [ #HL2 #H destruct /3 width=5/
-  | #V #A2 #_ #_ #_ #_ #H destruct
+  [ #HL2 #H destruct /3 width=5 by lsuba_beta, lsuba_aaa_conf/
+  | #W0 #V0 #A0 #_ #_ #_ #H destruct
   ]
 ]
-qed.
+qed-.