X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fstatic%2Flsuba_lsuba.ma;h=8332f80e90cb836a9af1f713aef2d27bec93e87a;hb=58ea181757dce19b875b2f5a224fe193b2263004;hp=eb7ae1386e663b6dc64c002d73f3fd0ce879bfb3;hpb=3cf712a7a75b57fb24f8dbed3f6f28d70dbf5be3;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 eb7ae1386..8332f80e9 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/static/lsuba_lsuba.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/static/lsuba_lsuba.ma
@@ -14,22 +14,22 @@
 
 include "basic_2/static/lsuba_aaa.ma".
 
-(* LOCAL ENVIRONMENT REFINEMENT FOR ATOMIC ARITY ASSIGNMENT *****************)
+(* RESTRICTED REFINEMENT FOR ATOMIC ARITY ASSIGNMENT ************************)
 
 (* Main properties **********************************************************)
 
-theorem lsuba_trans: ∀G,L1,L. G ⊢ L1 ⁝⊑ L → ∀L2. G ⊢ L ⁝⊑ L2 → G ⊢ L1 ⁝⊑ L2.
+theorem lsuba_trans: ∀G. Transitive … (lsuba G).
 #G #L1 #L #H elim H -L1 -L
 [ #X #H >(lsuba_inv_atom1 … H) -H //
 | #I #L1 #L #Y #HL1 #IHL1 #X #H
   elim (lsuba_inv_pair1 … H) -H * #L2
-  [ #HL2 #H destruct /3 width=1/
+  [ #HL2 #H destruct /3 width=1 by lsuba_pair/
   | #W #V #A #HV #HW #HL2 #H1 #H2 #H3 destruct
-    /3 width=3 by lsuba_abbr, lsuba_aaa_trans/
+    /3 width=3 by lsuba_beta, lsuba_aaa_trans/
   ]
 | #L1 #L #W #V #A #HV #HW #HL1 #IHL1 #X #H
   elim (lsuba_inv_pair1 … H) -H * #L2
-  [ #HL2 #H destruct /3 width=5 by lsuba_abbr, lsuba_aaa_conf/
+  [ #HL2 #H destruct /3 width=5 by lsuba_beta, lsuba_aaa_conf/
   | #W0 #V0 #A0 #_ #_ #_ #H destruct
   ]
 ]