X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fstatic%2Flsuba_lsuba.ma;h=28dc2d8ee34eb440fbaec1806207431e08d9872e;hp=2738570abb0ab7ff38e743a5d41bc1c779c68f37;hb=222044da28742b24584549ba86b1805a87def070;hpb=ebc33b6d5b68400bc8411973ed4c9ed50d0c52a6

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 2738570ab..28dc2d8ee 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: ∀L1,L. L1 ⁝⊑ L → ∀L2. L ⁝⊑ L2 → L1 ⁝⊑ L2.
-#L1 #L #H elim H -L1 -L
+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/
-  | #W #V #A #HV #HW #HL2 #H1 #H2 #H3 destruct
-    /3 width=3 by lsuba_abbr, lsuba_aaa_trans/
+| #I #L1 #L #HL1 #IHL1 #Y #H
+  elim (lsuba_inv_bind1 … H) -H * #L2
+  [ #HL2 #H destruct /3 width=1 by lsuba_bind/
+  | #W #V #A #HV #HW #HL2 #H1 #H2 destruct
+    /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/
+| #L1 #L #W #V #A #HV #HW #HL1 #IHL1 #Y #H
+  elim (lsuba_inv_bind1 … H) -H * #L2
+  [ #HL2 #H destruct /3 width=5 by lsuba_beta, lsuba_aaa_conf/
   | #W0 #V0 #A0 #_ #_ #_ #H destruct
   ]
 ]