ground_2 released and permanently renamed as ground

[helm.git] / matita / matita / contribs / lambdadelta / ground_2 / etc / ynat_old / ynat_pred.etc

diff --git a/matita/matita/contribs/lambdadelta/ground_2/etc/ynat_old/ynat_pred.etc b/matita/matita/contribs/lambdadelta/ground_2/etc/ynat_old/ynat_pred.etc
deleted file mode 100644 (file)
index 202649e..0000000
--- a/matita/matita/contribs/lambdadelta/ground_2/etc/ynat_old/ynat_pred.etc
+++ /dev/null
@@ -1,40 +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/ynat/ynat.ma".
-
-(* INFINITARY NATURAL NUMBERS ***********************************************)
-
-(* the predecessor on ynat *)
-definition ypred: ynat → ynat ≝ λm. match m with
-[ YO   ⇒ 0
-| YS n ⇒ n
-].
-
-notation "hvbox( ⫰ term 55 T )" 
-   non associative with precedence 55
-   for @{ 'Predecessor $T }.
-
-interpretation "ynat predecessor" 'Predecessor m = (ypred m).
-
-(* Properties ***************************************************************)
-
-lemma ypred_S: ∀m. ⫰⫯m = m.
-// qed.
-
-(* Inversion lemmas *********************************************************)
-
-lemma YS_inj: ∀m,n. ⫯m = ⫯n → m = n.
-#m #n #H <(ypred_S m) <(ypred_S n) //
-qed-.