propagating the arithmetics library, partial commit

[helm.git] / matita / matita / contribs / lambdadelta / ground / arith / ynat_lt_le_minus1.ma

diff --git a/matita/matita/contribs/lambdadelta/ground/arith/ynat_lt_le_minus1.ma b/matita/matita/contribs/lambdadelta/ground/arith/ynat_lt_le_minus1.ma
deleted file mode 100644 (file)
index 73b5817..0000000
--- a/matita/matita/contribs/lambdadelta/ground/arith/ynat_lt_le_minus1.ma
+++ /dev/null
@@ -1,29 +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_lt_minus.ma".
-include "ground/arith/ynat_minus1.ma".
-include "ground/arith/ynat_le.ma".
-include "ground/arith/ynat_lt.ma".
-
-(* STRICT ORDER FOR NON-NEGATIVE INTEGERS WITH INFINITY *********************)
-
-(* Cobstructions with yle and yminus1  **************************************)
-
-(*** monotonic_ylt_minus_dx *)
-lemma ylt_minus1_bi_dx (o) (x) (y):
-      x < y → yinj_nat o ≤ x → x - o < y - o.
-#o #x #y * -x -y
-/4 width=1 by ylt_inj, yle_inv_inj_bi, nlt_minus_bi_dx/
-qed.