milestone update in ground

[helm.git] / matita / matita / contribs / lambdadelta / ground / relocation / gr_fcla_fcla.ma

diff --git a/matita/matita/contribs/lambdadelta/ground/relocation/gr_fcla_fcla.ma b/matita/matita/contribs/lambdadelta/ground/relocation/gr_fcla_fcla.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/gr_fcla.ma".
+
+(* FINITE COLENGTH ASSIGNMENT FOR GENERIC RELOCATION MAPS  ***********************************************************)
+
+(* Main forward lemmas ******************************************************)
+
+(*** fcla_mono *)
+theorem gr_fcla_mono (f):
+        ∀n1. 𝐂❪f❫ ≘ n1 → ∀n2. 𝐂❪f❫ ≘ n2 → n1 = n2.
+#f #n #H elim H -f -n
+[ /2 width=3 by gr_fcla_inv_isi/
+| /3 width=3 by gr_fcla_inv_push/
+| #f #n1 #_ #IH #n2 #H elim (gr_fcla_inv_next … H) -H [2,3 : // ]
+  #g #Hf #H destruct >IH //
+]
+qed-.