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[helm.git] / matita / matita / contribs / lambdadelta / delayed_updating / syntax / prototerm_equivalence.ma
diff --git a/matita/matita/contribs/lambdadelta/delayed_updating/syntax/prototerm_equivalence.ma b/matita/matita/contribs/lambdadelta/delayed_updating/syntax/prototerm_equivalence.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 "ground/lib/subset_equivalence.ma".
-include "delayed_updating/syntax/prototerm.ma".
-
-(* EQUIVALENCE FOR PROTOTERM ************************************************)
-
-(* Constructions with prototerm_root ****************************************)
-
-lemma prototerm_root_incl_repl:
-      ∀t1,t2. t1 ⊆ t2 → ▵t1 ⊆ ▵t2.
-#t1 #t2 #Ht #p * #q #Hq
-/3 width=2 by ex_intro/
-qed.
-
-lemma prototerm_root_eq_repl:
-      ∀t1,t2. t1 ⇔ t2 → ▵t1 ⇔ ▵t2.
-#t1 #t2 * #H1 #H2
-/3 width=3 by conj, prototerm_root_incl_repl/
-qed.