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[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / etc_2A1 / lcoeq / lcoeq_lcoeq.etc
diff --git a/matita/matita/contribs/lambdadelta/basic_2/etc_2A1/lcoeq/lcoeq_lcoeq.etc b/matita/matita/contribs/lambdadelta/basic_2/etc_2A1/lcoeq/lcoeq_lcoeq.etc
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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/grammar/lcoeq.ma".
-
-(* COEQUIVALENCE FOR LOCAL ENVIRONMENTS *************************************)
-
-(* Main properties **********************************************************)
-
-theorem lcoeq_trans: ∀d,e. Transitive … (lcoeq d e).
-#d #e #L1 #L2 #H elim H -L1 -L2 -d -e //
-[ #I #L1 #L #V #HL1 #_ #X #H >(lcoeq_inv_O2 … HL1) -HL1 //
-| #I1 #I #L1 #L #V1 #V #e #_ #IHL1 #X #H elim (lcoeq_inv_pair1 … H) -H //
-  #I2 #L2 #V2 #HL2 #H destruct /3 width=1 by lcoeq_pair/
-| #I #L1 #L #V #d #e #_ #IHL1 #X #H elim (lcoeq_inv_succ1 … H) -H //
-  #L2 #HL2 #H destruct /3 width=1 by lcoeq_succ/
-]
-qed-.