update in ground

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

diff --git a/matita/matita/contribs/lambdadelta/ground/relocation/gr_coafter_nat_tls.ma b/matita/matita/contribs/lambdadelta/ground/relocation/gr_coafter_nat_tls.ma
deleted file mode 100644 (file)
index 0402e29..0000000
--- a/matita/matita/contribs/lambdadelta/ground/relocation/gr_coafter_nat_tls.ma
+++ /dev/null
@@ -1,45 +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_tls.ma".
-include "ground/relocation/gr_nat.ma".
-include "ground/relocation/gr_coafter.ma".
-
-(* RELATIONAL CO-COMPOSITION FOR GENERIC RELOCATION MAPS ********************)
-
-(* Constructions with gr_nat and gr_tls *************************************)
-
-(*** coafter_tls *)
-lemma gr_coafter_tls_bi_tls (n2) (n1):
-      ∀f1,f2,f. @↑❪n1, f1❫ ≘ n2 →
-      f1 ~⊚ f2 ≘ f → ⫰*[n2]f1 ~⊚ ⫰*[n1]f2 ≘ ⫰*[n2]f.
-#n2 @(nat_ind_succ … n2) -n2 [ #n1 | #n2 #IH * [| #n1 ] ] #f1 #f2 #f #Hf1 #Hf
-[ elim (gr_nat_inv_zero_dx … Hf1) -Hf1 [ |*: // ] #g1 #Hg1 #H1 destruct //
-| elim (gr_nat_inv_zero_succ … Hf1) -Hf1 [ |*: // ] #g1 #Hg1 #H1
-  elim (gr_coafter_inv_next_sn … Hf … H1) -Hf #g #Hg #H0 destruct
-  lapply (IH … Hg1 Hg) -IH -Hg1 -Hg //
-| elim (gr_nat_inv_succ_dx … Hf1) -Hf1 [1,3: * |*: // ] #g1 [ #n1 ] #Hg1 [ #H ] #H1
-  [ elim (gr_coafter_inv_push_sn … Hf … H1) -Hf * #g2 #g #Hg #H2 #H0 destruct
-    lapply (IH … Hg1 Hg) -IH -Hg1 -Hg #H //
-  | elim (gr_coafter_inv_next_sn … Hf … H1) -Hf #g #Hg #H0 destruct
-    lapply (IH … Hg1 Hg) -IH -Hg1 -Hg #H //
-  ]
-]
-qed.
-
-(*** coafter_tls_O *)
-lemma gr_coafter_tls_sn_tls:
-      ∀n,f1,f2,f. @↑❪𝟎, f1❫ ≘ n →
-      f1 ~⊚ f2 ≘ f → ⫰*[n]f1 ~⊚ f2 ≘ ⫰*[n]f.
-/2 width=1 by gr_coafter_tls_bi_tls/ qed.