ground_2 released and permanently renamed as ground

[helm.git] / matita / matita / contribs / lambdadelta / ground_2 / relocation / rtmap_basic.ma

diff --git a/matita/matita/contribs/lambdadelta/ground_2/relocation/rtmap_basic.ma b/matita/matita/contribs/lambdadelta/ground_2/relocation/rtmap_basic.ma
deleted file mode 100644 (file)
index ff61d6f..0000000
--- a/matita/matita/contribs/lambdadelta/ground_2/relocation/rtmap_basic.ma
+++ /dev/null
@@ -1,46 +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_2/notation/functions/basic_2.ma".
-include "ground_2/relocation/rtmap_at.ma".
-
-(* RELOCATION MAP ***********************************************************)
-
-definition basic: nat → nat → rtmap ≝ λm,n. ⫯*[m] 𝐔❨n❩.
-
-interpretation "basic relocation (rtmap)"
-   'Basic m n = (basic m n).
-
-(* Prioerties with application **********************************************)
-
-lemma at_basic_lt: ∀m,n,i. i < m → @❪i, 𝐁❨m,n❩❫ ≘ i.
-#m elim m -m [ #n #i #H elim (lt_zero_false … H) ]
-#m #IH #n * [ /2 width=2 by refl, at_refl/ ]
-#i #H lapply (lt_S_S_to_lt … H) -H /3 width=7 by refl, at_push/
-qed.
-
-lemma at_basic_ge: ∀m,n,i. m ≤ i → @❪i, 𝐁❨m,n❩❫ ≘ n+i.
-#m elim m -m //
-#m #IH #n #j #H
-elim (le_inv_S1 … H) -H #i #Hmi #H destruct
-/3 width=7 by refl, at_push/
-qed.
-
-(* Inversion lemmas with application ****************************************)
-
-lemma at_basic_inv_lt: ∀m,n,i,j. i < m → @❪i, 𝐁❨m,n❩❫ ≘ j → i = j.
-/3 width=4 by at_basic_lt, at_mono/ qed-.
-
-lemma at_basic_inv_ge: ∀m,n,i,j. m ≤ i → @❪i, 𝐁❨m,n❩❫ ≘ j → n+i = j.
-/3 width=4 by at_basic_ge, at_mono/ qed-.