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propagating the arithmetics library, partial commit
[helm.git] / matita / matita / contribs / lambdadelta / ground / relocation / pstream_isid.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/relocation/rtmap_isid.ma".
+
+(* RELOCATION N-STREAM ******************************************************)
+
+(* Specific inversion lemmas ************************************************)
+
+lemma isid_inv_seq: ∀f,p. 𝐈❪p⨮f❫ → 𝐈❪f❫ ∧ 𝟏 = p.
+#f #p #H elim (isid_inv_gen … H) -H
+#g #Hg #H elim (push_inv_seq_dx … H) -H /2 width=1 by conj/
+qed-.