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=bb77403bda183e4be48348fdb6e03757e3eb302c;hb=222044da28742b24584549ba86b1805a87def070;hpb=37e1b4f314ffae815beca71300688040f8da6939

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 bb77403bd..28dc2d8ee 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/static/lsuba_lsuba.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/static/lsuba_lsuba.ma
@@ -14,21 +14,21 @@
 
 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 by lsuba_pair/
-  | #W #V #A #HV #HW #HL2 #H1 #H2 #H3 destruct
+| #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
+| #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
   ]