update in ground

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

diff --git a/matita/matita/contribs/lambdadelta/ground/relocation/gr_coafter_nat_tls_pushs.ma b/matita/matita/contribs/lambdadelta/ground/relocation/gr_coafter_nat_tls_pushs.ma
deleted file mode 100644 (file)
index d427092..0000000
--- a/matita/matita/contribs/lambdadelta/ground/relocation/gr_coafter_nat_tls_pushs.ma
+++ /dev/null
@@ -1,44 +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_pushs.ma".
-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 ********************)
-
-(* Destructions with gr_nat and gr_tls and gr_pushs *************************)
-
-(*** coafter_fwd_pushs *)
-lemma gr_coafter_des_pushs_dx (n) (m):
-      ∀g2,f1,g. g2 ~⊚ ⫯*[m]f1 ≘ g → @↑❪m, g2❫ ≘ n →
-      ∃∃f. ⫰*[n]g2 ~⊚ f1 ≘ f & ⫯*[n] f = g.
-#n @(nat_ind_succ … n) -n
-[ #m #g2 #f1 #g #Hg #H
-  elim (gr_nat_inv_zero_dx … H) -H [|*: // ] #f2 #H1 #H2 destruct
-  /2 width=3 by ex2_intro/
-| #n #IH * [| #m ] #g2 #f1 #g #Hg #H
-  [ elim (gr_nat_inv_zero_succ … H) -H [|*: // ] #f2 #Hmn #H destruct
-    elim (gr_coafter_inv_next_sn … Hg) -Hg [|*: // ] #f #Hf #H destruct
-    elim (IH … Hf Hmn) -IH -Hf -Hmn /2 width=3 by ex2_intro/
-  | elim (gr_nat_inv_succ_bi … H) -H [1,4: * |*: // ] #f2 #Hmn #H destruct
-    [ elim (gr_coafter_inv_push_bi … Hg) -Hg [|*: // ] #f #Hf #H destruct
-      elim (IH … Hf Hmn) -IH -Hf -Hmn /2 width=3 by ex2_intro/
-    | elim (gr_coafter_inv_next_sn … Hg) -Hg [|*: // ] #f #Hf #H destruct
-      elim (IH … Hf Hmn) -IH -Hf -Hmn /2 width=3 by ex2_intro/
-    ]
-  ]
-]
-qed-.