milestone update in ground

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

diff --git a/matita/matita/contribs/lambdadelta/ground/relocation/rtmap_after_nat_uni.ma b/matita/matita/contribs/lambdadelta/ground/relocation/rtmap_after_nat_uni.ma
deleted file mode 100644 (file)
index ba2e4a8..0000000
--- a/matita/matita/contribs/lambdadelta/ground/relocation/rtmap_after_nat_uni.ma
+++ /dev/null
@@ -1,55 +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/rtmap_uni.ma".
-include "ground/relocation/rtmap_nat.ma".
-include "ground/relocation/rtmap_after.ma".
-
-(* RELOCATION MAP ***********************************************************)
-
-lemma after_uni_dx: ∀l2,l1,f2. @↑❪l1, f2❫ ≘ l2 →
-                    ∀f. f2 ⊚ 𝐔❨l1❩ ≘ f → 𝐔❨l2❩ ⊚ ⫱*[l2] f2 ≘ f.
-#l2 @(nat_ind_succ … l2) -l2
-[ #l1 #f2 #Hf2 #f #Hf
-  elim (rm_nat_inv_xxp … Hf2) -Hf2 // #g2 #H1 #H2 destruct
-  lapply (after_isid_inv_dx … Hf ?) -Hf
-  /3 width=3 by after_isid_sn, after_eq_repl_back0/
-| #l2 #IH #l1 #f2 #Hf2 #f #Hf
-  elim (rm_nat_inv_xxn … Hf2) -Hf2 [1,3: * |*: // ]
-  [ #g2 #k1 #Hg2 #H1 #H2 destruct
-    elim (after_inv_pnx … Hf) -Hf [ |*: // ] #g #Hg #H destruct
-    <tls_xn /3 width=5 by after_next/
-  | #g2 #Hg2 #H2 destruct
-    elim (after_inv_nxx … Hf) -Hf [ |*: // ] #g #Hg #H destruct
-    <tls_xn /3 width=5 by after_next/
-  ]
-]
-qed.
-
-lemma after_uni_sn: ∀l2,l1,f2. @↑❪l1, f2❫ ≘ l2 →
-                    ∀f. 𝐔❨l2❩ ⊚ ⫱*[l2] f2 ≘ f → f2 ⊚ 𝐔❨l1❩ ≘ f.
-#l2 @(nat_ind_succ … l2) -l2
-[ #l1 #f2 #Hf2 #f #Hf
-  elim (rm_nat_inv_xxp … Hf2) -Hf2 // #g2 #H1 #H2 destruct
-  lapply (after_isid_inv_sn … Hf ?) -Hf
-  /3 width=3 by after_isid_dx, after_eq_repl_back0/
-| #l2 #IH #l1 #f2 #Hf2 #f #Hf
-  elim (after_inv_nxx … Hf) -Hf [2,3: // ] #g #Hg #H destruct
-  elim (rm_nat_inv_xxn … Hf2) -Hf2 [1,3: * |*: // ]
-  [ #g2 #k1 #Hg2 #H1 #H2 destruct /3 width=7 by after_push/
-  | #g2 #Hg2 #H2 destruct /3 width=5 by after_next/
-  ]
-]
-qed-.
-