propagating the arithmetics library, partial commit

[helm.git] / matita / matita / contribs / lambdadelta / ground / arith / ynat_minus1_plus.ma

diff --git a/matita/matita/contribs/lambdadelta/ground/arith/ynat_minus1_plus.ma b/matita/matita/contribs/lambdadelta/ground/arith/ynat_minus1_plus.ma
deleted file mode 100644 (file)
index 4c260d7..0000000
--- a/matita/matita/contribs/lambdadelta/ground/arith/ynat_minus1_plus.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/nat_minus_plus.ma".
-include "ground/arith/ynat_plus.ma".
-include "ground/arith/ynat_minus1_succ.ma".
-
-(* LEFT SUBTRACTION FOR NON-NEGATIVE INTEGERS WITH INFINITY *****************)
-
-(* Constructions with yplus *************************************************)
-
-(*** yplus_minus *)
-lemma yminus1_plus_sn_refl_sn (x) (n):
-      x = x + yinj_nat n - n.
-#x @(ynat_split_nat_inf … x) -x //
-#n <yplus_inf_sn //
-qed.
-
-(*** yminus_plus2 *)
-lemma yminus_plus_dx (x:ynat) (n) (o):
-      x - n - o = x - (n + o).
-#x @(ynat_split_nat_inf … x) -x //
-qed.