]> matita.cs.unibo.it Git - helm.git/blobdiff - matita/matita/contribs/lambdadelta/basic_2/static/lsuba_lsuba.ma
syntactic components detached from basic_2 become static_2
[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / static / lsuba_lsuba.ma
diff --git a/matita/matita/contribs/lambdadelta/basic_2/static/lsuba_lsuba.ma b/matita/matita/contribs/lambdadelta/basic_2/static/lsuba_lsuba.ma
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-(**************************************************************************)
-(*       ___                                                              *)
-(*      ||M||                                                             *)
-(*      ||A||       A project by Andrea Asperti                           *)
-(*      ||T||                                                             *)
-(*      ||I||       Developers:                                           *)
-(*      ||T||         The HELM team.                                      *)
-(*      ||A||         http://helm.cs.unibo.it                             *)
-(*      \   /                                                             *)
-(*       \ /        This file is distributed under the terms of the       *)
-(*        v         GNU General Public License Version 2                  *)
-(*                                                                        *)
-(**************************************************************************)
-
-include "basic_2/static/lsuba_aaa.ma".
-
-(* RESTRICTED REFINEMENT FOR ATOMIC ARITY ASSIGNMENT ************************)
-
-(* Main properties **********************************************************)
-
-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 #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 #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
-  ]
-]
-qed-.