propagating the arithmetics library, partial commit

[helm.git] / matita / matita / contribs / lambdadelta / ground / arith / ynat_le_minus1_succ.ma

diff --git a/matita/matita/contribs/lambdadelta/ground/arith/ynat_le_minus1_succ.ma b/matita/matita/contribs/lambdadelta/ground/arith/ynat_le_minus1_succ.ma
deleted file mode 100644 (file)
index 76cfcaf..0000000
--- a/matita/matita/contribs/lambdadelta/ground/arith/ynat_le_minus1_succ.ma
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-(**************************************************************************)
-(*       ___                                                              *)
-(*      ||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/ynat_succ.ma".
-include "ground/arith/ynat_le_minus1.ma".
-
-(* ORDER FOR NON-NEGATIVE INTEGERS WITH INFINITY ****************************)
-
-(* Constructions with yminus1 and ysucc *************************************)
-
-(*** yminus_succ1_inj *)
-lemma yminus1_succ_sn (x) (n):
-      yinj_nat n ≤ x → ↑(x - n) = ↑x - n.
-#x @(ynat_split_nat_inf … x) -x //
-#m #n #Hnm
-<yminus1_inj_sn <ysucc_inj <ysucc_inj <yminus1_inj_sn
-/4 width=1 by yle_inv_inj_bi, nminus_succ_sn, eq_f/
-qed-.