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[helm.git] / helm / software / matita / contribs / RELATIONAL-ARITHMETICS / nat_fwd.ma

diff --git a/helm/software/matita/contribs/RELATIONAL-ARITHMETICS/nat_fwd.ma b/helm/software/matita/contribs/RELATIONAL-ARITHMETICS/nat_fwd.ma
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--- a/helm/software/matita/contribs/RELATIONAL-ARITHMETICS/nat_fwd.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                  *)
-(*                                                                        *)
-(**************************************************************************)
-
-set "baseuri" "cic:/matita/RELATIONAL-ARITHMETICS/nat_fwd".
-
-include "nat_defs.ma".
-
-theorem eq_gen_O_S: \forall (P:Prop). \forall m2. O = S m2 \to P.
- intros. discriminate H.
-qed.
-
-theorem eq_gen_S_O: \forall (P:Prop). \forall m1. S m1 = O \to P.
- intros. discriminate H.
-qed.
-
-theorem eq_gen_S_S: \forall m1,m2. S m1 = S m2 \to m1 = m2.
- intros. injection H. assumption.
-qed.