]> matita.cs.unibo.it Git - helm.git/blobdiff - helm/software/matita/contribs/RELATIONAL/ZEq/setoid.ma
removing old contribs
[helm.git] / helm / software / matita / contribs / RELATIONAL / ZEq / setoid.ma
diff --git a/helm/software/matita/contribs/RELATIONAL/ZEq/setoid.ma b/helm/software/matita/contribs/RELATIONAL/ZEq/setoid.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 "NPlus/fun.ma".
-include "ZEq/defs.ma".
-
-theorem zeq_refl: ∀z. z ≈ z.
- intros; elim z. clear z.
- lapply (nplus_total a b); decompose;
- autobatch.
-qed.
-
-theorem zeq_sym: ∀z1,z2. z1 ≈ z2 → z2 ≈ z1.
- intros; elim H; clear H z1 z2; autobatch.
-qed.
-(*
-theorem zeq_trans: \forall z1,z2. z1 = z2 \to 
-                   \forall z3. z2 = z3 \to z1 = z3.
- intros 3. elim H. clear H z1 z2. 
- inversion H3. clear H3. intros. destruct.
- lapply (nplus_total n5 n6). decompose.
- lapply (nplus_total n4 n9). decompose.
- apply zeq.
-*)