milestone update in ground

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

diff --git a/matita/matita/contribs/lambdadelta/ground/relocation/rtmap_basic_at.ma b/matita/matita/contribs/lambdadelta/ground/relocation/rtmap_basic_at.ma
deleted file mode 100644 (file)
index 00e2509..0000000
--- a/matita/matita/contribs/lambdadelta/ground/relocation/rtmap_basic_at.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/arith/nat_plus_rplus.ma".
-include "ground/relocation/rtmap_basic_nat.ma".
-
-(* RELOCATION MAP ***********************************************************)
-
-(* Prioerties with application **********************************************)
-
-lemma at_basic_lt (m) (n) (i):
-      ninj i ≤ m → @❪i, 𝐁❨m,n❩❫ ≘ i.
-#m #n #i >(npsucc_pred i) #Hmi
-/2 width=1 by rm_nat_basic_lt/
-qed.
-
-lemma at_basic_ge (m) (n) (i):
-      m < ninj i → @❪i, 𝐁❨m,n❩❫ ≘ i+n.
-#m #n #i >(npsucc_pred i) #Hmi <nrplus_npsucc_sn
-/3 width=1 by rm_nat_basic_ge, nlt_inv_succ_dx/
-qed.
-
-(* Inversion lemmas with application ****************************************)
-
-lemma at_basic_inv_lt (m) (n) (i) (j):
-      ninj 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 < ninj i → @❪i, 𝐁❨m,n❩❫ ≘ j → i+n = j.
-/3 width=4 by at_basic_ge, at_mono/ qed-.