update in ground

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

diff --git a/matita/matita/contribs/lambdadelta/ground/relocation/gr_tls_nexts_eq.ma b/matita/matita/contribs/lambdadelta/ground/relocation/gr_tls_nexts_eq.ma
deleted file mode 100644 (file)
index a0d4e39..0000000
--- a/matita/matita/contribs/lambdadelta/ground/relocation/gr_tls_nexts_eq.ma
+++ /dev/null
@@ -1,42 +0,0 @@
-(**************************************************************************)
-(*       ___                                                              *)
-(*      ||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_nexts.ma".
-include "ground/relocation/gr_tls_eq.ma".
-
-(* ITERATED TAIL FOR GENERIC RELOCATION MAPS ********************************)
-
-(* Inversions with gr_nexts and gr_eq ***************************************)
-
-(*** eq_inv_nexts_sn *)
-lemma gr_eq_inv_nexts_sn (n):
-      ∀f1,g2. ↑*[n] f1 ≡ g2 →
-      ∧∧ f1 ≡ ⫰*[n]g2 & ↑*[n]⫰*[n]g2 = g2.
-#n @(nat_ind_succ … n) -n /2 width=1 by conj/
-#n #IH #f1 #g2 #H
-elim (gr_eq_inv_next_sn … H) -H [|*: // ] #Hf10 *
-elim (IH … Hf10) -IH -Hf10 #Hf12 #H2
-<gr_tls_succ /2 width=1 by conj/
-qed-.
-
-(*** eq_inv_nexts_dx *)
-lemma gr_eq_inv_nexts_dx (n):
-      ∀f2,g1. g1 ≡ ↑*[n] f2 →
-      ∧∧ ⫰*[n]g1 ≡ f2 & ↑*[n]⫰*[n]g1 = g1.
-#n @(nat_ind_succ … n) -n /2 width=1 by conj/
-#n #IH #f2 #g1 #H
-elim (gr_eq_inv_next_dx … H) -H [|*: // ] #Hf02 *
-elim (IH … Hf02) -IH -Hf02 #Hf12 #H2
-<gr_tls_succ /2 width=1 by conj/
-qed-.